Metrics for pow(sqrt(x + 1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	51.4%	48.6%	0%	0%	0%	0
0%	0%	51.4%	48.6%	0%	0%	0%	1
50%	25.7%	25.7%	48.6%	0%	0%	0%	2
66.7%	25.7%	12.9%	48.6%	0%	12.9%	0%	3
80%	25.7%	6.4%	48.6%	0%	19.3%	0%	4
88.9%	25.7%	3.2%	48.6%	0%	22.5%	0%	5
94.1%	25.7%	1.6%	48.6%	0%	24.1%	0%	6
97%	25.7%	0.8%	48.6%	0%	24.9%	0%	7
98.5%	25.7%	0.4%	48.6%	0%	25.3%	0%	8
99.2%	25.7%	0.2%	48.6%	0%	25.5%	0%	9
99.6%	25.7%	0.1%	48.6%	0%	25.6%	0%	10
99.8%	25.7%	0.1%	48.6%	0%	25.7%	0%	11
99.9%	25.7%	0%	48.6%	0%	25.7%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (27.3%)

Memory

78.2MiB live, 648.2MiB allocated

Samples

780.0ms	8 256×	0	valid
1.0ms	10×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 599.0ms

ival-sqrt: 156.0ms (26% of total)

ival-pow2: 148.0ms (24.7% of total)

ival-<=: 105.0ms (17.5% of total)

ival-sub: 93.0ms (15.5% of total)

ival-add: 61.0ms (10.2% of total)

exact: 19.0ms (3.2% of total)

ival-and: 13.0ms (2.2% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain94.0ms (2.2%)

Memory

46.4MiB live, 46.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
5	-	-	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(sqrt.f64 x)`
0	-	-	`(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`	cancellation	5	0

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	0	0	251

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sqrt: 8.0ms (38.7% of total)

ival-pow2: 6.0ms (29% of total)

ival-sub: 3.0ms (14.5% of total)

ival-add: 3.0ms (14.5% of total)

exact: 1.0ms (4.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess170.0ms (4%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	21	21
2	44	21
3	130	21
4	392	21
5	1130	21
6	2090	21
7	3251	21
8	3427	21
9	3427	21
10	3522	21
11	3562	21
12	3562	21
0	8	9
0	13	9
1	19	9
2	29	9
3	58	9
4	150	9
5	446	9
6	1008	9
7	2006	9
8	2923	9
9	2988	9
10	2992	9
11	2992	9
0	2992	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))

Outputs
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify74.0ms (1.8%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff	0	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	13	28
1	19	28
2	29	28
3	58	28
4	150	28
5	446	28
6	1008	28
7	2006	28
8	2923	28
9	2988	28
10	2992	28
11	2992	28
0	2992	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
#s(literal 2 binary64)

Outputs
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
#s(literal 2 binary64)

localize28.0ms (0.7%)

Memory

-72.6MiB live, 9.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.00390625	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	0.05859375	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
accuracy	0.4172873114972534	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Samples

17.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sqrt: 4.0ms (38.9% of total)

ival-pow2: 3.0ms (29.2% of total)

ival-add: 2.0ms (19.4% of total)

ival-sub: 1.0ms (9.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series28.0ms (0.7%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

5 → 39

Calls

Call 1

Inputs
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 x)

Outputs
(pow (- 1 (sqrt x)) 2)
(+ (* x (- 1 (sqrt x))) (pow (- 1 (sqrt x)) 2))
(+ (* x (- (+ 1 (* x (+ 1/4 (* -1/4 (- 1 (sqrt x)))))) (sqrt x))) (pow (- 1 (sqrt x)) 2))
(+ (* x (- (+ 1 (* x (+ 1/4 (+ (* -1/4 (- 1 (sqrt x))) (* x (- (* 1/8 (- 1 (sqrt x))) 1/8)))))) (sqrt x))) (pow (- 1 (sqrt x)) 2))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 x)
(sqrt x)
(/ 1/4 x)
(/ (- (* 1/4 x) 1/8) (pow x 2))
(/ (- (+ (* 1/4 x) (+ (/ 1/64 x) (/ 1/16 x))) 1/8) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 1/64 (pow x 4)) (* 5/128 (pow x 4))) (pow x 6))) (+ (* 1/4 x) (+ (/ 1/64 x) (/ 1/16 x)))) 1/8) (pow x 2))
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
x
(* x (+ 1 (/ 1 x)))
(/ -1/4 (* x (pow (sqrt -1) 2)))
(/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 4)))) (pow x 2))
(/ (- (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -1/16 (* x (pow (sqrt -1) 6))) (/ -1/64 (* x (pow (sqrt -1) 6))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 1/64 (/ (pow x 4) (pow (sqrt -1) 8))) (* 5/128 (/ (pow x 4) (pow (sqrt -1) 8)))) (pow x 6))) (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -1/16 (* x (pow (sqrt -1) 6))) (/ -1/64 (* x (pow (sqrt -1) 6)))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	((pow (- (sqrt (+ x 1)) (sqrt x)) 2) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x))
4.0ms	x	@	-inf	((pow (- (sqrt (+ x 1)) (sqrt x)) 2) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x))
3.0ms	x	@	inf	((pow (- (sqrt (+ x 1)) (sqrt x)) 2) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x))

Time

Variable

Point

Expression

21.0ms

((pow (- (sqrt (+ x 1)) (sqrt x)) 2) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x))

4.0ms

-inf

((pow (- (sqrt (+ x 1)) (sqrt x)) 2) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x))

3.0ms

inf

((pow (- (sqrt (+ x 1)) (sqrt x)) 2) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x))

simplify151.0ms (3.6%)

Memory

39.6MiB live, 39.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	698
1	489	633
2	1329	613
3	4228	599
0	8141	552

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

Inputs
(pow (- 1 (sqrt x)) 2)
(+ (* x (- 1 (sqrt x))) (pow (- 1 (sqrt x)) 2))
(+ (* x (- (+ 1 (* x (+ 1/4 (* -1/4 (- 1 (sqrt x)))))) (sqrt x))) (pow (- 1 (sqrt x)) 2))
(+ (* x (- (+ 1 (* x (+ 1/4 (+ (* -1/4 (- 1 (sqrt x))) (* x (- (* 1/8 (- 1 (sqrt x))) 1/8)))))) (sqrt x))) (pow (- 1 (sqrt x)) 2))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 x)
(sqrt x)
(/ 1/4 x)
(/ (- (* 1/4 x) 1/8) (pow x 2))
(/ (- (+ (* 1/4 x) (+ (/ 1/64 x) (/ 1/16 x))) 1/8) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 1/64 (pow x 4)) (* 5/128 (pow x 4))) (pow x 6))) (+ (* 1/4 x) (+ (/ 1/64 x) (/ 1/16 x)))) 1/8) (pow x 2))
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
x
(* x (+ 1 (/ 1 x)))
(/ -1/4 (* x (pow (sqrt -1) 2)))
(/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 4)))) (pow x 2))
(/ (- (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -1/16 (* x (pow (sqrt -1) 6))) (/ -1/64 (* x (pow (sqrt -1) 6))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 1/64 (/ (pow x 4) (pow (sqrt -1) 8))) (* 5/128 (/ (pow x 4) (pow (sqrt -1) 8)))) (pow x 6))) (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -1/16 (* x (pow (sqrt -1) 6))) (/ -1/64 (* x (pow (sqrt -1) 6)))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

Outputs
(pow (- 1 (sqrt x)) 2)
(pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(+ (* x (- 1 (sqrt x))) (pow (- 1 (sqrt x)) 2))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+ (* x (- (+ 1 (* x (+ 1/4 (* -1/4 (- 1 (sqrt x)))))) (sqrt x))) (pow (- 1 (sqrt x)) 2))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) x (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(+ (* x (- (+ 1 (* x (+ 1/4 (+ (* -1/4 (- 1 (sqrt x))) (* x (- (* 1/8 (- 1 (sqrt x))) 1/8)))))) (sqrt x))) (pow (- 1 (sqrt x)) 2))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x (.f64 #s(literal 1/4 binary64) (sqrt.f64 x))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) x (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(sqrt x)
(sqrt.f64 x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ (- (* 1/4 x) 1/8) (pow x 2))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)
(/ (- (+ (* 1/4 x) (+ (/ 1/64 x) (/ 1/16 x))) 1/8) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x))
(/ (- (+ (* -1 (/ (+ (* 1/64 (pow x 4)) (* 5/128 (pow x 4))) (pow x 6))) (+ (* 1/4 x) (+ (/ 1/64 x) (/ 1/16 x)))) 1/8) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -7/128 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x))))) (*.f64 x x))
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ -1/4 (* x (pow (sqrt -1) 2)))
(/.f64 #s(literal 1/4 binary64) x)
(/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 4)))) (pow x 2))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x)) x)
(/ (- (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -1/16 (* x (pow (sqrt -1) 6))) (/ -1/64 (* x (pow (sqrt -1) 6))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal -1/64 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x))) (/.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (*.f64 x x))
(/ (- (+ (* -1 (/ (+ (* 1/64 (/ (pow x 4) (pow (sqrt -1) 8))) (* 5/128 (/ (pow x 4) (pow (sqrt -1) 8)))) (pow x 6))) (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -1/16 (* x (pow (sqrt -1) 6))) (/ -1/64 (* x (pow (sqrt -1) 6)))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -7/128 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal -1/64 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x))) (/.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 x x))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x)
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal 5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)

rewrite248.0ms (5.9%)

Memory

-84.2MiB live, 50.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	13	25
1	53	25
2	344	25
3	4646	25
0	8887	25

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 364

Calls

Call 1

Inputs
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 x)

Outputs
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log1p.f64 (-.f64 x x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 (sqrt.f64 x) x) x))))))
(.f64 (/.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
(.f64 (/.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(.f64 (/.f64 (.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 2 binary64)))) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
(.f64 (/.f64 (.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (pow.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (-.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 (+.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)) x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)))
(.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (pow.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)) x))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)) x))))
(*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (+.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)) x)))
(.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (.f64 (pow.f64 (+.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(pow.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)) x) (*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)) x)) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 2 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (-.f64 x x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (+.f64 x (+.f64 (hypot.f64 (sqrt.f64 x) x) x))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log1p.f64 (-.f64 x x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log1p.f64 (+.f64 x (+.f64 (hypot.f64 (sqrt.f64 x) x) x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (neg.f64 (+.f64 (+.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)) x)))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(fabs.f64 (+.f64 #s(literal 1 binary64) x))
(hypot.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(hypot.f64 (hypot.f64 (sqrt.f64 x) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (hypot.f64 (sqrt.f64 x) x))
(exp.f64 (.f64 (.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (log1p.f64 x))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))

eval52.0ms (1.2%)

Memory: 39.3MiB live, 39.3MiB allocated
Compiler: Compiled 8 903 to 1 511 computations (83% saved)

prune14.0ms (0.3%)

Memory

19.3MiB live, 19.3MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	387	13	400
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	388	13	401

Accuracy

100.0%

Counts

401 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))
	98.5%	(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))
▶	99.9%	(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))
	99.2%	(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 4 binary64))
	99.3%	(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
	99.8%	(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
	96.8%	(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 (sqrt.f64 x) x) x))))))
	99.2%	(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
▶	5.7%	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x)))
	2.6%	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
▶	6.3%	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
	97.2%	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))

Compiler

Compiled 552 to 322 computations (41.7% saved)

simplify132.0ms (3.1%)

Memory

-50.9MiB live, 32.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
cost-diff	1	(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
cost-diff	2	(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
cost-diff	4	(-.f64 (+.f64 #s(literal 1 binary64) x) x)
cost-diff	0	(/.f64 #s(literal 1/16 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x))))
cost-diff	0	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x)))
cost-diff	1	(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x))
cost-diff	0	(/.f64 #s(literal 1/4 binary64) x)
cost-diff	0	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
cost-diff	0	(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))
cost-diff	1	(+.f64 (+.f64 #s(literal 1 binary64) x) x)
cost-diff	2	(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
cost-diff	4	(-.f64 (+.f64 #s(literal 1 binary64) x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	349
0	74	335
1	129	315
2	354	305
3	1209	305
4	3793	303
0	8284	298

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(sqrt.f64 x)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))
(+.f64 (+.f64 #s(literal 1 binary64) x) x)
(hypot.f64 (sqrt.f64 x) x)
#s(literal 2 binary64)
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
(/.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x))))
(/.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
x
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))
#s(literal 1/8 binary64)
(fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1/64 binary64) x)
#s(literal 1/64 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(literal 1 binary64)
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 x)
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)
(-.f64 x (hypot.f64 (sqrt.f64 x) x))
(hypot.f64 (sqrt.f64 x) x)

Outputs
(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) #s(literal 2 binary64))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x))) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(sqrt.f64 x)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))
(fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(hypot.f64 (sqrt.f64 x) x)
#s(literal 2 binary64)
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
(/.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x)))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 #s(literal -1/64 binary64) x)) x) #s(literal -1/4 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x))
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (/.f64 #s(literal -1/64 binary64) x)) x) #s(literal -1/4 binary64)) x)
(-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x))))
(-.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/16 binary64) x)) (-.f64 (/.f64 #s(literal -1/64 binary64) x) #s(literal -1/8 binary64)))
(/.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
x
(-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))
#s(literal 1/8 binary64)
(fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1/64 binary64) x)
#s(literal 1/64 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(literal 1 binary64)
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
#s(literal 1 binary64)
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))
(neg.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (-.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)
(-.f64 x (hypot.f64 (sqrt.f64 x) x))
(hypot.f64 (sqrt.f64 x) x)

localize119.0ms (2.8%)

Memory

50.4MiB live, 50.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(hypot.f64 (sqrt.f64 x) x)
accuracy	0.4172873114972534	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy	0.4230024958195036	(-.f64 x (hypot.f64 (sqrt.f64 x) x))
accuracy	0.47605801049942376	(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))
accuracy	0.015625	(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy	0.0390625	(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
accuracy	0.046875	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
accuracy	0.4172873114972534	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy	0.01171875	(fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x))
accuracy	0.11556625976844202	(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x))
accuracy	0.26953125	(-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x))))
accuracy	60.37447452702138	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x)))
accuracy	0.0	(/.f64 #s(literal 1/4 binary64) x)
accuracy	59.95751803864312	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
accuracy	0.01953125	(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))
accuracy	0.03125	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
accuracy	0.03515625	(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
accuracy	0.05859375	(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))

Samples

87.0ms	252×	0	valid
3.0ms	4×	1	valid

Compiler

Compiled 381 to 44 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-div: 13.0ms (18.9% of total)

ival-add: 10.0ms (14.5% of total)

ival-mult: 10.0ms (14.5% of total)

ival-sub: 9.0ms (13.1% of total)

ival-pow: 9.0ms (13.1% of total)

ival-sqrt: 6.0ms (8.7% of total)

ival-hypot: 5.0ms (7.3% of total)

ival-pow2: 5.0ms (7.3% of total)

exact: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series36.0ms (0.9%)

Memory

-67.6MiB live, 9.8MiB allocated

Counts

23 → 165

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) x)
(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
(/.f64 #s(literal 1/4 binary64) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x))))
(/.f64 #s(literal 1/16 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))
(fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 x (hypot.f64 (sqrt.f64 x) x))
(hypot.f64 (sqrt.f64 x) x)

Outputs
1
(- 1 (sqrt x))
(- (+ 1 (* x (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (- (+ 2 (* x (- (* -1/2 (sqrt (/ 1 x))) (+ (* 3/8 (- 1 (sqrt x))) (* (+ 3/2 (sqrt x)) (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x))))))))) (* (+ 3/2 (sqrt x)) (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (- (+ 2 (* x (- (+ (* -1 (* x (+ (* -1/16 (- 1 (sqrt x))) (+ (* 3/8 (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x))))) (* (+ 3/2 (sqrt x)) (- (* -1/2 (sqrt (/ 1 x))) (+ (* 3/8 (- 1 (sqrt x))) (* (+ 3/2 (sqrt x)) (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x)))))))))))) (* -1/2 (sqrt (/ 1 x)))) (+ (* 3/8 (- 1 (sqrt x))) (* (+ 3/2 (sqrt x)) (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x))))))))) (* (+ 3/2 (sqrt x)) (- 1 (sqrt x)))))) (sqrt x))
(+ 1 (* 2 x))
(pow (- 1 (sqrt x)) 2)
(+ (* x (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))) (pow (- 1 (sqrt x)) 2))
(+ (* x (- (+ (* 4 (- 1 (sqrt x))) (* x (- (+ 4 (* -1 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) (+ (* (+ 3/4 (pow (+ 3/2 (sqrt x)) 2)) (pow (- 1 (sqrt x)) 2)) (* (+ 3 (* 2 (sqrt x))) (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))))))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))) (pow (- 1 (sqrt x)) 2))
(+ (* x (- (+ (* 4 (- 1 (sqrt x))) (* x (- (+ 4 (+ (* -1 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* x (- (* -2 (sqrt (/ 1 x))) (+ (* (+ 3/4 (pow (+ 3/2 (sqrt x)) 2)) (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))) (+ (* (+ 3 (* 2 (sqrt x))) (- (+ 4 (* -1 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) (+ (* (+ 3/4 (pow (+ 3/2 (sqrt x)) 2)) (pow (- 1 (sqrt x)) 2)) (* (+ 3 (* 2 (sqrt x))) (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2))))))) (* (pow (- 1 (sqrt x)) 2) (- (* 3/4 (+ 3/2 (sqrt x))) 1/8)))))))) (+ (* (+ 3/4 (pow (+ 3/2 (sqrt x)) 2)) (pow (- 1 (sqrt x)) 2)) (* (+ 3 (* 2 (sqrt x))) (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))))))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))) (pow (- 1 (sqrt x)) 2))
(+ (* x (- 1 (sqrt x))) (pow (- 1 (sqrt x)) 2))
(+ (* x (- (+ 1 (* x (+ 1/4 (* -1/4 (- 1 (sqrt x)))))) (sqrt x))) (pow (- 1 (sqrt x)) 2))
(+ (* x (- (+ 1 (* x (+ 1/4 (+ (* -1/4 (- 1 (sqrt x))) (* x (- (* 1/8 (- 1 (sqrt x))) 1/8)))))) (sqrt x))) (pow (- 1 (sqrt x)) 2))
(/ 1/4 x)
(/ 5/64 (pow x 3))
(/ (+ 5/64 (* -1/8 x)) (pow x 3))
(/ (+ 5/64 (* x (- (* 1/4 x) 1/8))) (pow x 3))
(/ 5/64 x)
(/ (+ 5/64 (* -1/8 x)) x)
(/ (+ 5/64 (* x (- (* 1/4 x) 1/8))) x)
(/ 1/16 x)
(/ (- 1 (sqrt x)) (+ 1 (sqrt x)))
(- (+ (* x (- (* 1/2 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))
(- (+ (* x (- (+ (* -1 (* x (+ (* -1/8 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))) (+ (* 1/8 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x)))))))) (* 1/2 (/ 1 (+ 1 (sqrt x))))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))
(- (+ (* x (- (+ (* 1/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* x (- (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))) (+ (* 1/8 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x)))) (* 1/16 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))))))) (+ (* -1/8 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))) (+ (* 1/8 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x))))))))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(/ (+ 1 (sqrt x)) (- 1 (sqrt x)))
(+ (* x (- (* 1/2 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2))))) (+ (* (sqrt x) (/ 1 (- 1 (sqrt x)))) (/ 1 (- 1 (sqrt x)))))
(+ (* x (- (+ (* -1 (* x (+ (* -1/8 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2))) (+ (* 1/8 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (- (* 1/2 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2)))) (- 1 (sqrt x)))))))) (* 1/2 (/ 1 (- 1 (sqrt x))))) (* 1/2 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2))))) (+ (* (sqrt x) (/ 1 (- 1 (sqrt x)))) (/ 1 (- 1 (sqrt x)))))
(+ (* x (- (+ (* 1/2 (/ 1 (- 1 (sqrt x)))) (* x (- (* x (- (* 1/16 (/ 1 (- 1 (sqrt x)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2))) (+ (* 1/8 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (- (* 1/2 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2)))) (- 1 (sqrt x)))))) (- 1 (sqrt x)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2)))) (- 1 (sqrt x)))) (* 1/16 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2))))))) (+ (* -1/8 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2))) (+ (* 1/8 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (- (* 1/2 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2)))) (- 1 (sqrt x))))))))) (* 1/2 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2))))) (+ (* (sqrt x) (/ 1 (- 1 (sqrt x)))) (/ 1 (- 1 (sqrt x)))))
(- 1 (* 2 (sqrt x)))
(- (+ 1 (* x (+ 3/2 (* 1/2 (- 1 (sqrt x)))))) (* 2 (sqrt x)))
(- (+ 1 (* x (+ 3/2 (+ (* 1/2 (- 1 (sqrt x))) (* x (- (+ 1/8 (* -1/8 (- 1 (sqrt x)))) (* 1/2 (sqrt (/ 1 x))))))))) (* 2 (sqrt x)))
(- (+ 1 (* x (+ 3/2 (+ (* 1/2 (- 1 (sqrt x))) (* x (- (+ 1/8 (+ (* -1/8 (- 1 (sqrt x))) (* x (- (* 1/16 (- 1 (sqrt x))) 1/16)))) (* 1/2 (sqrt (/ 1 x))))))))) (* 2 (sqrt x)))
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 x)
(+ 1 (* -1 (* x (+ 3/2 (sqrt x)))))
(+ 1 (* x (- (* -1 (* x (+ 3/8 (* -1 (pow (+ 3/2 (sqrt x)) 2))))) (+ 3/2 (sqrt x)))))
(+ 1 (* x (- (* x (- (* x (- 1/16 (+ (* -1 (* (+ 3/8 (* -1 (pow (+ 3/2 (sqrt x)) 2))) (+ 3/2 (sqrt x)))) (* -3/8 (+ 3/2 (sqrt x)))))) (+ 3/8 (* -1 (pow (+ 3/2 (sqrt x)) 2))))) (+ 3/2 (sqrt x)))))
(- (+ 1 (* 2 x)) (sqrt x))
(- (+ 1 (* x (+ 2 (* -1/2 (sqrt x))))) (sqrt x))
(- (+ 1 (* x (+ 2 (* x (- (* 1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))) (sqrt x))
(/ 1/64 x)
(/ (+ 1/64 (* 1/4 (pow x 2))) x)
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(* -1 (sqrt x))
(- x (sqrt x))
(- (* x (+ 1 (* -1/2 (sqrt x)))) (sqrt x))
(- (* x (+ 1 (* x (- (* 1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))) (sqrt x))
(sqrt x)
(+ (sqrt x) (* 1/2 (sqrt (pow x 3))))
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x)))) (* 3/8 (sqrt (/ 1 x)))) x)
(/ (- (+ (* -1/32 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/8 (sqrt (/ 1 x))) (* 3/8 (sqrt (/ 1 (pow x 3))))))) x)
(* 2 x)
(* x (+ 2 (/ 1 x)))
(/ (+ 1/4 (* 1/4 x)) (pow x 2))
(/ (- (+ 1/4 (+ (* 1/4 x) (* 1/8 (/ 1 x)))) 3/8) (pow x 2))
(/ (- (+ 1/4 (* 1/4 x)) (+ 3/8 (* 5/8 (/ 1 x)))) (pow x 2))
(/ (- (* 1/4 x) 1/8) (pow x 2))
(/ (- (+ (* 1/4 x) (+ (/ 1/64 x) (/ 1/16 x))) 1/8) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 1/64 (pow x 4)) (* 5/128 (pow x 4))) (pow x 6))) (+ (* 1/4 x) (+ (/ 1/64 x) (/ 1/16 x)))) 1/8) (pow x 2))
(/ (- 1/4 (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/4 (/ 5/64 (pow x 2))) (* 1/8 (/ 1 x))) x)
(* 1/4 x)
(* x (- 1/4 (* 1/8 (/ 1 x))))
(* x (- (+ 1/4 (/ 5/64 (pow x 2))) (* 1/8 (/ 1 x))))
(/ (- (+ (* 1/4 x) (+ (/ 1/32 x) (/ 3/64 x))) 1/8) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 5/256 (pow x 4)) (* 9/256 (pow x 4))) (pow x 6))) (+ (* 1/4 x) (+ (/ 1/32 x) (/ 3/64 x)))) 1/8) (pow x 2))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* 4 x)
(* (pow x 2) (+ (* 4 (/ 1 x)) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* 4 (/ 1 x)) (* 2 (/ 1 (pow x 2)))) (/ 1/4 (pow x 3))))
(* (pow x 2) (- (+ (/ 1/8 (pow x 4)) (+ (* 4 (/ 1 x)) (* 2 (/ 1 (pow x 2))))) (* 1/4 (/ 1 (pow x 3)))))
(/ 1/8 x)
(/ (- (+ 1/8 1/8) (* 1/16 (/ 1 x))) x)
(/ (- (+ 1/8 (+ 1/8 (/ 5/128 (pow x 2)))) (* 1/16 (/ 1 x))) x)
(/ (- (+ 1/8 (+ 1/8 (+ (* -1 (/ (+ 7/256 (* 1/16 (pow x 2))) (pow x 3))) (/ 5/128 (pow x 2))))) (* 1/16 (/ 1 x))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
x
(* x (+ 1 (/ 1 x)))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -3/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (- (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 3/8 (sqrt (/ 1 x)))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -9/32 (sqrt (pow x 5))) (* 1/8 (* (sqrt (pow x 3)) (- 1 (* 9/4 x))))) (pow x 4))) (* 1/2 (sqrt x))) (+ (* 3/8 (sqrt (/ 1 x))) (* 3/8 (sqrt (/ 1 (pow x 3)))))) (pow x 2))
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x)))))
(* x (- (+ 1 (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x)))) (* 1/16 (/ 1 (pow x 3)))))
(* x (+ 1/4 (* 1/64 (/ 1 (pow x 2)))))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
-1/2
(- (* 1/8 (/ 1 x)) 1/2)
(- (* 1/8 (/ 1 x)) (+ 1/2 (/ 1/16 (pow x 2))))
(- (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3)))) (+ 1/2 (/ 1/16 (pow x 2))))
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))
(/ 3 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (/ (- (* -1 (/ (- (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (/ (pow (sqrt -1) 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 3 (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (/ (pow (sqrt -1) 4) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -9/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)) (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (pow (sqrt -1) 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 3 (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow (sqrt -1) 6) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* 3/2 (* (sqrt x) (/ (- (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (/ (pow (sqrt -1) 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 9/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) x)) (* 1/8 (/ (pow (sqrt -1) 4) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -9/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)) (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (pow (sqrt -1) 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 3 (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(/ 9 (* (pow x 2) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))
(/ (+ (* 6 (/ (- 1 (* 1/2 (pow (sqrt -1) 2))) (* x (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 9 (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -6 (/ (- 1 (* 1/2 (pow (sqrt -1) 2))) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* -1 (/ (- (+ (* -3/4 (/ (pow (sqrt -1) 4) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (/ (pow (- 1 (* 1/2 (pow (sqrt -1) 2))) 2) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 27 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x))) x)) (* 9 (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -6 (/ (- 1 (* 1/2 (pow (sqrt -1) 2))) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (/ (* (pow (sqrt -1) 4) (- 1 (* 1/2 (pow (sqrt -1) 2)))) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 3/8 (/ (pow (sqrt -1) 6) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -27 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* -18 (* (sqrt x) (/ (- 1 (* 1/2 (pow (sqrt -1) 2))) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))))) x)) (+ (* -3/4 (/ (pow (sqrt -1) 4) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (/ (pow (- 1 (* 1/2 (pow (sqrt -1) 2))) 2) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 27 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x))) x)) (* 9 (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (pow x 2))
(/ -1/4 (* x (pow (sqrt -1) 2)))
(/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 4)))) (pow x 2))
(/ (- (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -1/16 (* x (pow (sqrt -1) 6))) (/ -1/64 (* x (pow (sqrt -1) 6))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 1/64 (/ (pow x 4) (pow (sqrt -1) 8))) (* 5/128 (/ (pow x 4) (pow (sqrt -1) 8)))) (pow x 6))) (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -1/16 (* x (pow (sqrt -1) 6))) (/ -1/64 (* x (pow (sqrt -1) 6)))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/4) x))
(* -1 (/ (- (* -1 (/ (- (* 5/64 (/ 1 x)) 1/8) x)) 1/4) x))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/4)))
(* -1 (* x (- (* -1 (/ (- (* 5/64 (/ 1 x)) 1/8) x)) 1/4)))
(/ (- (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -3/64 (* x (pow (sqrt -1) 6))) (/ -1/32 (* x (pow (sqrt -1) 6))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 5/256 (/ (pow x 4) (pow (sqrt -1) 8))) (* 9/256 (/ (pow x 4) (pow (sqrt -1) 8)))) (pow x 6))) (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -3/64 (* x (pow (sqrt -1) 6))) (/ -1/32 (* x (pow (sqrt -1) 6)))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -4 (* x (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -4 (/ (pow (sqrt -1) 2) x)) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -4 (/ (pow (sqrt -1) 2) x)) (+ (/ 1/4 (* (pow x 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* -4 (/ (pow (sqrt -1) 2) x)) (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (- 1/2 (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(* -1 (* x (- (* -1 (/ (- (+ 1/2 (* -1/8 (/ (pow (sqrt -1) 4) x))) (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(* -1 (* x (- (* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/16 (pow (sqrt -1) 6))) x)) (* -1/8 (pow (sqrt -1) 4))) x))) (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ 1 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/ (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow x 2))
(/ (- (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (pow x 2))
(/ (- (+ (* -1 (/ (- (* -1 (/ (- (* -9/4 (/ x (* (pow (sqrt -1) 2) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* 1/2 (* (sqrt x) (/ (- 1 (* -9/4 (/ x (pow (sqrt -1) 2)))) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)) (* -3/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (pow x 3))) (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (pow x 2))
(* 3 x)
(* -1 (* x (- (* -1 (/ (- 1 (* 1/2 (pow (sqrt -1) 2))) x)) 3)))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1/8 (/ (pow (sqrt -1) 4) x))) (* 1/2 (pow (sqrt -1) 2))) x)) 3)))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* 1/16 (/ (pow (sqrt -1) 6) x)) (* -1/8 (pow (sqrt -1) 4))) x))) (* 1/2 (pow (sqrt -1) 2))) x)) 3)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* x (- (* 1/2 (/ (pow (sqrt -1) 2) x)) 2)))
(* -1 (* x (- (* -1 (/ (- (* -1/8 (/ (pow (sqrt -1) 4) x)) (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (sqrt -1) 6) x)) (* -1/8 (pow (sqrt -1) 4))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ (pow (sqrt -1) 2) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 4) x)) (* 1/2 (pow (sqrt -1) 2))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 4)) (* -1/16 (/ (pow (sqrt -1) 6) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	((- (+ 1 x) x) (* (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ (+ 1 x) x) (pow (* (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) 2) (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/ 1/4 x) (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (/ 1/16 x) (/ 1 (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))) (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x)))) (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ 1 x) (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+ (* 1/4 x) (/ 1/64 x)) (+ (sqrt x) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))
12.0ms	x	@	-inf	((- (+ 1 x) x) (* (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ (+ 1 x) x) (pow (* (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) 2) (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/ 1/4 x) (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (/ 1/16 x) (/ 1 (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))) (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x)))) (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ 1 x) (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+ (* 1/4 x) (/ 1/64 x)) (+ (sqrt x) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))
8.0ms	x	@	0	((- (+ 1 x) x) (* (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ (+ 1 x) x) (pow (* (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) 2) (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/ 1/4 x) (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (/ 1/16 x) (/ 1 (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))) (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x)))) (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ 1 x) (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+ (* 1/4 x) (/ 1/64 x)) (+ (sqrt x) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))

Time

Variable

Point

Expression

13.0ms

inf

((- (+ 1 x) x) (* (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ (+ 1 x) x) (pow (* (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) 2) (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/ 1/4 x) (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (/ 1/16 x) (/ 1 (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))) (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x)))) (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ 1 x) (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+ (* 1/4 x) (/ 1/64 x)) (+ (sqrt x) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))

12.0ms

-inf

((- (+ 1 x) x) (* (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ (+ 1 x) x) (pow (* (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) 2) (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/ 1/4 x) (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (/ 1/16 x) (/ 1 (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))) (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x)))) (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ 1 x) (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+ (* 1/4 x) (/ 1/64 x)) (+ (sqrt x) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))

8.0ms

((- (+ 1 x) x) (* (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ (+ 1 x) x) (pow (* (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) 2) (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/ 1/4 x) (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (/ 1/16 x) (/ 1 (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))) (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x)))) (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ 1 x) (/ (- (+ 1 x) x) (+ (* (sqrt x) x) (pow (+ 1 x) 3/2))) (- (+ (+ 1 x) x) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+ (* 1/4 x) (/ 1/64 x)) (+ (sqrt x) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))

simplify154.0ms (3.6%)

Memory

49.2MiB live, 49.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	887	4554
1	2696	3621
0	8594	3413

Stop Event

1×	iter limit
1×	node limit

Counts

165 → 164

Calls

Call 1

Inputs
1
(- 1 (sqrt x))
(- (+ 1 (* x (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (- (+ 2 (* x (- (* -1/2 (sqrt (/ 1 x))) (+ (* 3/8 (- 1 (sqrt x))) (* (+ 3/2 (sqrt x)) (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x))))))))) (* (+ 3/2 (sqrt x)) (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (- (+ 2 (* x (- (+ (* -1 (* x (+ (* -1/16 (- 1 (sqrt x))) (+ (* 3/8 (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x))))) (* (+ 3/2 (sqrt x)) (- (* -1/2 (sqrt (/ 1 x))) (+ (* 3/8 (- 1 (sqrt x))) (* (+ 3/2 (sqrt x)) (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x)))))))))))) (* -1/2 (sqrt (/ 1 x)))) (+ (* 3/8 (- 1 (sqrt x))) (* (+ 3/2 (sqrt x)) (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x))))))))) (* (+ 3/2 (sqrt x)) (- 1 (sqrt x)))))) (sqrt x))
(+ 1 (* 2 x))
(pow (- 1 (sqrt x)) 2)
(+ (* x (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))) (pow (- 1 (sqrt x)) 2))
(+ (* x (- (+ (* 4 (- 1 (sqrt x))) (* x (- (+ 4 (* -1 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) (+ (* (+ 3/4 (pow (+ 3/2 (sqrt x)) 2)) (pow (- 1 (sqrt x)) 2)) (* (+ 3 (* 2 (sqrt x))) (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))))))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))) (pow (- 1 (sqrt x)) 2))
(+ (* x (- (+ (* 4 (- 1 (sqrt x))) (* x (- (+ 4 (+ (* -1 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* x (- (* -2 (sqrt (/ 1 x))) (+ (* (+ 3/4 (pow (+ 3/2 (sqrt x)) 2)) (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))) (+ (* (+ 3 (* 2 (sqrt x))) (- (+ 4 (* -1 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) (+ (* (+ 3/4 (pow (+ 3/2 (sqrt x)) 2)) (pow (- 1 (sqrt x)) 2)) (* (+ 3 (* 2 (sqrt x))) (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2))))))) (* (pow (- 1 (sqrt x)) 2) (- (* 3/4 (+ 3/2 (sqrt x))) 1/8)))))))) (+ (* (+ 3/4 (pow (+ 3/2 (sqrt x)) 2)) (pow (- 1 (sqrt x)) 2)) (* (+ 3 (* 2 (sqrt x))) (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))))))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))) (pow (- 1 (sqrt x)) 2))
(+ (* x (- 1 (sqrt x))) (pow (- 1 (sqrt x)) 2))
(+ (* x (- (+ 1 (* x (+ 1/4 (* -1/4 (- 1 (sqrt x)))))) (sqrt x))) (pow (- 1 (sqrt x)) 2))
(+ (* x (- (+ 1 (* x (+ 1/4 (+ (* -1/4 (- 1 (sqrt x))) (* x (- (* 1/8 (- 1 (sqrt x))) 1/8)))))) (sqrt x))) (pow (- 1 (sqrt x)) 2))
(/ 1/4 x)
(/ 5/64 (pow x 3))
(/ (+ 5/64 (* -1/8 x)) (pow x 3))
(/ (+ 5/64 (* x (- (* 1/4 x) 1/8))) (pow x 3))
(/ 5/64 x)
(/ (+ 5/64 (* -1/8 x)) x)
(/ (+ 5/64 (* x (- (* 1/4 x) 1/8))) x)
(/ 1/16 x)
(/ (- 1 (sqrt x)) (+ 1 (sqrt x)))
(- (+ (* x (- (* 1/2 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))
(- (+ (* x (- (+ (* -1 (* x (+ (* -1/8 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))) (+ (* 1/8 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x)))))))) (* 1/2 (/ 1 (+ 1 (sqrt x))))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))
(- (+ (* x (- (+ (* 1/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* x (- (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))) (+ (* 1/8 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x)))) (* 1/16 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))))))) (+ (* -1/8 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))) (+ (* 1/8 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x))))))))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(/ (+ 1 (sqrt x)) (- 1 (sqrt x)))
(+ (* x (- (* 1/2 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2))))) (+ (* (sqrt x) (/ 1 (- 1 (sqrt x)))) (/ 1 (- 1 (sqrt x)))))
(+ (* x (- (+ (* -1 (* x (+ (* -1/8 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2))) (+ (* 1/8 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (- (* 1/2 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2)))) (- 1 (sqrt x)))))))) (* 1/2 (/ 1 (- 1 (sqrt x))))) (* 1/2 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2))))) (+ (* (sqrt x) (/ 1 (- 1 (sqrt x)))) (/ 1 (- 1 (sqrt x)))))
(+ (* x (- (+ (* 1/2 (/ 1 (- 1 (sqrt x)))) (* x (- (* x (- (* 1/16 (/ 1 (- 1 (sqrt x)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2))) (+ (* 1/8 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (- (* 1/2 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2)))) (- 1 (sqrt x)))))) (- 1 (sqrt x)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2)))) (- 1 (sqrt x)))) (* 1/16 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2))))))) (+ (* -1/8 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2))) (+ (* 1/8 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (- (* 1/2 (/ 1 (- 1 (sqrt x)))) (* 1/2 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2)))) (- 1 (sqrt x))))))))) (* 1/2 (/ (+ 1 (sqrt x)) (pow (- 1 (sqrt x)) 2))))) (+ (* (sqrt x) (/ 1 (- 1 (sqrt x)))) (/ 1 (- 1 (sqrt x)))))
(- 1 (* 2 (sqrt x)))
(- (+ 1 (* x (+ 3/2 (* 1/2 (- 1 (sqrt x)))))) (* 2 (sqrt x)))
(- (+ 1 (* x (+ 3/2 (+ (* 1/2 (- 1 (sqrt x))) (* x (- (+ 1/8 (* -1/8 (- 1 (sqrt x)))) (* 1/2 (sqrt (/ 1 x))))))))) (* 2 (sqrt x)))
(- (+ 1 (* x (+ 3/2 (+ (* 1/2 (- 1 (sqrt x))) (* x (- (+ 1/8 (+ (* -1/8 (- 1 (sqrt x))) (* x (- (* 1/16 (- 1 (sqrt x))) 1/16)))) (* 1/2 (sqrt (/ 1 x))))))))) (* 2 (sqrt x)))
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+ 1 x)
(+ 1 (* -1 (* x (+ 3/2 (sqrt x)))))
(+ 1 (* x (- (* -1 (* x (+ 3/8 (* -1 (pow (+ 3/2 (sqrt x)) 2))))) (+ 3/2 (sqrt x)))))
(+ 1 (* x (- (* x (- (* x (- 1/16 (+ (* -1 (* (+ 3/8 (* -1 (pow (+ 3/2 (sqrt x)) 2))) (+ 3/2 (sqrt x)))) (* -3/8 (+ 3/2 (sqrt x)))))) (+ 3/8 (* -1 (pow (+ 3/2 (sqrt x)) 2))))) (+ 3/2 (sqrt x)))))
(- (+ 1 (* 2 x)) (sqrt x))
(- (+ 1 (* x (+ 2 (* -1/2 (sqrt x))))) (sqrt x))
(- (+ 1 (* x (+ 2 (* x (- (* 1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))) (sqrt x))
(/ 1/64 x)
(/ (+ 1/64 (* 1/4 (pow x 2))) x)
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(* -1 (sqrt x))
(- x (sqrt x))
(- (* x (+ 1 (* -1/2 (sqrt x)))) (sqrt x))
(- (* x (+ 1 (* x (- (* 1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))) (sqrt x))
(sqrt x)
(+ (sqrt x) (* 1/2 (sqrt (pow x 3))))
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x)))) (* 3/8 (sqrt (/ 1 x)))) x)
(/ (- (+ (* -1/32 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/8 (sqrt (/ 1 x))) (* 3/8 (sqrt (/ 1 (pow x 3))))))) x)
(* 2 x)
(* x (+ 2 (/ 1 x)))
(/ (+ 1/4 (* 1/4 x)) (pow x 2))
(/ (- (+ 1/4 (+ (* 1/4 x) (* 1/8 (/ 1 x)))) 3/8) (pow x 2))
(/ (- (+ 1/4 (* 1/4 x)) (+ 3/8 (* 5/8 (/ 1 x)))) (pow x 2))
(/ (- (* 1/4 x) 1/8) (pow x 2))
(/ (- (+ (* 1/4 x) (+ (/ 1/64 x) (/ 1/16 x))) 1/8) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 1/64 (pow x 4)) (* 5/128 (pow x 4))) (pow x 6))) (+ (* 1/4 x) (+ (/ 1/64 x) (/ 1/16 x)))) 1/8) (pow x 2))
(/ (- 1/4 (* 1/8 (/ 1 x))) x)
(/ (- (+ 1/4 (/ 5/64 (pow x 2))) (* 1/8 (/ 1 x))) x)
(* 1/4 x)
(* x (- 1/4 (* 1/8 (/ 1 x))))
(* x (- (+ 1/4 (/ 5/64 (pow x 2))) (* 1/8 (/ 1 x))))
(/ (- (+ (* 1/4 x) (+ (/ 1/32 x) (/ 3/64 x))) 1/8) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 5/256 (pow x 4)) (* 9/256 (pow x 4))) (pow x 6))) (+ (* 1/4 x) (+ (/ 1/32 x) (/ 3/64 x)))) 1/8) (pow x 2))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* 4 x)
(* (pow x 2) (+ (* 4 (/ 1 x)) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ (* 4 (/ 1 x)) (* 2 (/ 1 (pow x 2)))) (/ 1/4 (pow x 3))))
(* (pow x 2) (- (+ (/ 1/8 (pow x 4)) (+ (* 4 (/ 1 x)) (* 2 (/ 1 (pow x 2))))) (* 1/4 (/ 1 (pow x 3)))))
(/ 1/8 x)
(/ (- (+ 1/8 1/8) (* 1/16 (/ 1 x))) x)
(/ (- (+ 1/8 (+ 1/8 (/ 5/128 (pow x 2)))) (* 1/16 (/ 1 x))) x)
(/ (- (+ 1/8 (+ 1/8 (+ (* -1 (/ (+ 7/256 (* 1/16 (pow x 2))) (pow x 3))) (/ 5/128 (pow x 2))))) (* 1/16 (/ 1 x))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
x
(* x (+ 1 (/ 1 x)))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -3/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (- (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 3/8 (sqrt (/ 1 x)))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -9/32 (sqrt (pow x 5))) (* 1/8 (* (sqrt (pow x 3)) (- 1 (* 9/4 x))))) (pow x 4))) (* 1/2 (sqrt x))) (+ (* 3/8 (sqrt (/ 1 x))) (* 3/8 (sqrt (/ 1 (pow x 3)))))) (pow x 2))
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x)))))
(* x (- (+ 1 (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x)))) (* 1/16 (/ 1 (pow x 3)))))
(* x (+ 1/4 (* 1/64 (/ 1 (pow x 2)))))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
-1/2
(- (* 1/8 (/ 1 x)) 1/2)
(- (* 1/8 (/ 1 x)) (+ 1/2 (/ 1/16 (pow x 2))))
(- (+ (* 1/8 (/ 1 x)) (* 5/128 (/ 1 (pow x 3)))) (+ 1/2 (/ 1/16 (pow x 2))))
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))
(/ 3 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (/ (- (* -1 (/ (- (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (/ (pow (sqrt -1) 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 3 (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (/ (pow (sqrt -1) 4) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -9/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)) (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (pow (sqrt -1) 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 3 (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow (sqrt -1) 6) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* 3/2 (* (sqrt x) (/ (- (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (/ (pow (sqrt -1) 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 9/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) x)) (* 1/8 (/ (pow (sqrt -1) 4) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -9/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)) (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (pow (sqrt -1) 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 3 (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(/ 9 (* (pow x 2) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))
(/ (+ (* 6 (/ (- 1 (* 1/2 (pow (sqrt -1) 2))) (* x (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 9 (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -6 (/ (- 1 (* 1/2 (pow (sqrt -1) 2))) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* -1 (/ (- (+ (* -3/4 (/ (pow (sqrt -1) 4) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (/ (pow (- 1 (* 1/2 (pow (sqrt -1) 2))) 2) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 27 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x))) x)) (* 9 (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -6 (/ (- 1 (* 1/2 (pow (sqrt -1) 2))) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (/ (* (pow (sqrt -1) 4) (- 1 (* 1/2 (pow (sqrt -1) 2)))) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 3/8 (/ (pow (sqrt -1) 6) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -27 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* -18 (* (sqrt x) (/ (- 1 (* 1/2 (pow (sqrt -1) 2))) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))))) x)) (+ (* -3/4 (/ (pow (sqrt -1) 4) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (/ (pow (- 1 (* 1/2 (pow (sqrt -1) 2))) 2) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 27 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x))) x)) (* 9 (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (pow x 2))
(/ -1/4 (* x (pow (sqrt -1) 2)))
(/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (pow (sqrt -1) 4)))) (pow x 2))
(/ (- (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -1/16 (* x (pow (sqrt -1) 6))) (/ -1/64 (* x (pow (sqrt -1) 6))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 1/64 (/ (pow x 4) (pow (sqrt -1) 8))) (* 5/128 (/ (pow x 4) (pow (sqrt -1) 8)))) (pow x 6))) (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -1/16 (* x (pow (sqrt -1) 6))) (/ -1/64 (* x (pow (sqrt -1) 6)))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/4) x))
(* -1 (/ (- (* -1 (/ (- (* 5/64 (/ 1 x)) 1/8) x)) 1/4) x))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/4)))
(* -1 (* x (- (* -1 (/ (- (* 5/64 (/ 1 x)) 1/8) x)) 1/4)))
(/ (- (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -3/64 (* x (pow (sqrt -1) 6))) (/ -1/32 (* x (pow (sqrt -1) 6))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* 5/256 (/ (pow x 4) (pow (sqrt -1) 8))) (* 9/256 (/ (pow x 4) (pow (sqrt -1) 8)))) (pow x 6))) (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -3/64 (* x (pow (sqrt -1) 6))) (/ -1/32 (* x (pow (sqrt -1) 6)))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -4 (* x (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -4 (/ (pow (sqrt -1) 2) x)) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -4 (/ (pow (sqrt -1) 2) x)) (+ (/ 1/4 (* (pow x 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow x 2))))))
(* (pow x 2) (+ (* -4 (/ (pow (sqrt -1) 2) x)) (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (- 1/2 (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(* -1 (* x (- (* -1 (/ (- (+ 1/2 (* -1/8 (/ (pow (sqrt -1) 4) x))) (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(* -1 (* x (- (* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/16 (pow (sqrt -1) 6))) x)) (* -1/8 (pow (sqrt -1) 4))) x))) (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ 1 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/ (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow x 2))
(/ (- (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (pow x 2))
(/ (- (+ (* -1 (/ (- (* -1 (/ (- (* -9/4 (/ x (* (pow (sqrt -1) 2) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* 1/2 (* (sqrt x) (/ (- 1 (* -9/4 (/ x (pow (sqrt -1) 2)))) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)) (* -3/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (pow x 3))) (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (pow x 2))
(* 3 x)
(* -1 (* x (- (* -1 (/ (- 1 (* 1/2 (pow (sqrt -1) 2))) x)) 3)))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1/8 (/ (pow (sqrt -1) 4) x))) (* 1/2 (pow (sqrt -1) 2))) x)) 3)))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* 1/16 (/ (pow (sqrt -1) 6) x)) (* -1/8 (pow (sqrt -1) 4))) x))) (* 1/2 (pow (sqrt -1) 2))) x)) 3)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* -1 (* x (- (* 1/2 (/ (pow (sqrt -1) 2) x)) 2)))
(* -1 (* x (- (* -1 (/ (- (* -1/8 (/ (pow (sqrt -1) 4) x)) (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (sqrt -1) 6) x)) (* -1/8 (pow (sqrt -1) 4))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ (pow (sqrt -1) 2) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 4) x)) (* 1/2 (pow (sqrt -1) 2))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 4)) (* -1/16 (/ (pow (sqrt -1) 6) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)))))

Outputs
1
#s(literal 1 binary64)
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* x (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x)))))) (sqrt x))
(fma.f64 (-.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (- (+ 2 (* x (- (* -1/2 (sqrt (/ 1 x))) (+ (* 3/8 (- 1 (sqrt x))) (* (+ 3/2 (sqrt x)) (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x))))))))) (* (+ 3/2 (sqrt x)) (- 1 (sqrt x)))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 (-.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) x (-.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (- (+ 2 (* x (- (+ (* -1 (* x (+ (* -1/16 (- 1 (sqrt x))) (+ (* 3/8 (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x))))) (* (+ 3/2 (sqrt x)) (- (* -1/2 (sqrt (/ 1 x))) (+ (* 3/8 (- 1 (sqrt x))) (* (+ 3/2 (sqrt x)) (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x)))))))))))) (* -1/2 (sqrt (/ 1 x)))) (+ (* 3/8 (- 1 (sqrt x))) (* (+ 3/2 (sqrt x)) (- 2 (* (+ 3/2 (sqrt x)) (- 1 (sqrt x))))))))) (* (+ 3/2 (sqrt x)) (- 1 (sqrt x)))))) (sqrt x))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/16 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 (-.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 (-.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))) x (-.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(pow (- 1 (sqrt x)) 2)
(pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(+ (* x (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))) (pow (- 1 (sqrt x)) 2))
(fma.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(+ (* x (- (+ (* 4 (- 1 (sqrt x))) (* x (- (+ 4 (* -1 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) (+ (* (+ 3/4 (pow (+ 3/2 (sqrt x)) 2)) (pow (- 1 (sqrt x)) 2)) (* (+ 3 (* 2 (sqrt x))) (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))))))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))) (pow (- 1 (sqrt x)) 2))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (fma.f64 (+.f64 (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 3 binary64))))) x (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) x (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(+ (* x (- (+ (* 4 (- 1 (sqrt x))) (* x (- (+ 4 (+ (* -1 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* x (- (* -2 (sqrt (/ 1 x))) (+ (* (+ 3/4 (pow (+ 3/2 (sqrt x)) 2)) (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))) (+ (* (+ 3 (* 2 (sqrt x))) (- (+ 4 (* -1 (* (sqrt (/ 1 x)) (- 1 (sqrt x))))) (+ (* (+ 3/4 (pow (+ 3/2 (sqrt x)) 2)) (pow (- 1 (sqrt x)) 2)) (* (+ 3 (* 2 (sqrt x))) (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2))))))) (* (pow (- 1 (sqrt x)) 2) (- (* 3/4 (+ 3/2 (sqrt x))) 1/8)))))))) (+ (* (+ 3/4 (pow (+ 3/2 (sqrt x)) 2)) (pow (- 1 (sqrt x)) 2)) (* (+ 3 (* 2 (sqrt x))) (- (* 4 (- 1 (sqrt x))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))))))) (* (+ 3 (* 2 (sqrt x))) (pow (- 1 (sqrt x)) 2)))) (pow (- 1 (sqrt x)) 2))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (+.f64 (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (fma.f64 (-.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (fma.f64 (+.f64 (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 3 binary64)) (.f64 (fma.f64 #s(literal 3/4 binary64) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) x (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (fma.f64 (+.f64 (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 3 binary64))))) x (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) x (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(+ (* x (- 1 (sqrt x))) (pow (- 1 (sqrt x)) 2))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+ (* x (- (+ 1 (* x (+ 1/4 (* -1/4 (- 1 (sqrt x)))))) (sqrt x))) (pow (- 1 (sqrt x)) 2))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) x (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(+ (* x (- (+ 1 (* x (+ 1/4 (+ (* -1/4 (- 1 (sqrt x))) (* x (- (* 1/8 (- 1 (sqrt x))) 1/8)))))) (sqrt x))) (pow (- 1 (sqrt x)) 2))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)) x (fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) x (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ 5/64 (pow x 3))
(/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 5/64 (* -1/8 x)) (pow x 3))
(/.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 5/64 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 5/64 (* x (- (* 1/4 x) 1/8))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/8 binary64)) x #s(literal 5/64 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 5/64 x)
(/.f64 #s(literal 5/64 binary64) x)
(/ (+ 5/64 (* -1/8 x)) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 5/64 binary64)) x)
(/ (+ 5/64 (* x (- (* 1/4 x) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/8 binary64)) x #s(literal 5/64 binary64)) x)
(/ 1/16 x)
(/.f64 #s(literal 1/16 binary64) x)
(/ (- 1 (sqrt x)) (+ 1 (sqrt x)))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(- (+ (* x (- (* 1/2 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(- (+ (* x (- (+ (* -1 (* x (+ (* -1/8 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))) (+ (* 1/8 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x)))))))) (* 1/2 (/ 1 (+ 1 (sqrt x))))) (* 1/2 (/ (- 1 (sqrt x)) (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))
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(/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal -1/64 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x)) (/.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x)))) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 7/128 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 x x))
(* -1 (/ (- (* 1/8 (/ 1 x)) 1/4) x))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/4 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 5/64 (/ 1 x)) 1/8) x)) 1/4) x))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 5/64 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/4 binary64)) (neg.f64 x))
(* -1 (* x (- (* 1/8 (/ 1 x)) 1/4)))
(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/4 binary64)) x)
(* -1 (* x (- (* -1 (/ (- (* 5/64 (/ 1 x)) 1/8) x)) 1/4)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 5/64 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/4 binary64)))
(/ (- (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -3/64 (* x (pow (sqrt -1) 6))) (/ -1/32 (* x (pow (sqrt -1) 6))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(/.f64 (-.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x)) (/.f64 #s(literal -3/64 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (*.f64 x x))
(/ (- (+ (* -1 (/ (+ (* 5/256 (/ (pow x 4) (pow (sqrt -1) 8))) (* 9/256 (/ (pow x 4) (pow (sqrt -1) 8)))) (pow x 6))) (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (/ -3/64 (* x (pow (sqrt -1) 6))) (/ -1/32 (* x (pow (sqrt -1) 6)))))) (/ 1/8 (pow (sqrt -1) 4))) (pow x 2))
(/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x)) (/.f64 #s(literal -3/64 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x)))) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 7/128 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 x x))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x))
(* -4 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 4 binary64) x)
(* (pow x 2) (+ (* -4 (/ (pow (sqrt -1) 2) x)) (* 2 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x))
(* (pow x 2) (+ (* -4 (/ (pow (sqrt -1) 2) x)) (+ (/ 1/4 (* (pow x 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* (pow x 2) (+ (* -4 (/ (pow (sqrt -1) 2) x)) (+ (* 1/4 (/ 1 (* (pow x 3) (pow (sqrt -1) 2)))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 4)))) (* 2 (/ 1 (pow x 2)))))))
(.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) x)) (*.f64 x x))
(* -1 (* x (- (* -1 (/ (- 1/2 (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (- (+ 1/2 (* -1/8 (/ (pow (sqrt -1) 4) x))) (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x) #s(literal -1/8 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -2 binary64)))
(* -1 (* x (- (* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/16 (pow (sqrt -1) 6))) x)) (* -1/8 (pow (sqrt -1) 4))) x))) (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/8 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal -1/16 binary64))) (neg.f64 x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/8 binary64))) (neg.f64 x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -2 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(/ 1 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 0 binary64))
(/ (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 0 binary64)) #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) (*.f64 x x))
(/ (- (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 0 binary64)) #s(literal -3/2 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 0 binary64)) #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))) (*.f64 x x))
(/ (- (+ (* -1 (/ (- (* -1 (/ (- (* -9/4 (/ x (* (pow (sqrt -1) 2) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* 1/2 (* (sqrt x) (/ (- 1 (* -9/4 (/ x (pow (sqrt -1) 2)))) (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)) (* -3/2 (* (sqrt x) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (pow x 3))) (/ 1 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal -9/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (.f64 (/.f64 (sqrt.f64 x) #s(literal 0 binary64)) #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 0 binary64)) #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))) (*.f64 x x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (- 1 (* 1/2 (pow (sqrt -1) 2))) x)) 3)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -3/2 binary64) x) #s(literal 3 binary64)))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1/8 (/ (pow (sqrt -1) 4) x))) (* 1/2 (pow (sqrt -1) 2))) x)) 3)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x) #s(literal -1 binary64) #s(literal -3 binary64)))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* 1/16 (/ (pow (sqrt -1) 6) x)) (* -1/8 (pow (sqrt -1) 4))) x))) (* 1/2 (pow (sqrt -1) 2))) x)) 3)))
(.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x) #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 3/2 binary64)) x) #s(literal -1 binary64) #s(literal -3 binary64)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(* -1 (* x (- (* 1/2 (/ (pow (sqrt -1) 2) x)) 2)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1/8 (/ (pow (sqrt -1) 4) x)) (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -2 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (sqrt -1) 6) x)) (* -1/8 (pow (sqrt -1) 4))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) 2)))
(.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x) #s(literal 1/16 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1/2 (/ (pow (sqrt -1) 2) x)))))
(fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64))
(* -1 (* x (+ 1 (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 4) x)) (* 1/2 (pow (sqrt -1) 2))) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x) #s(literal 1/8 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 4)) (* -1/16 (/ (pow (sqrt -1) 6) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) x) #s(literal -1/16 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1/8 binary64))) x)) x)) (neg.f64 x))

rewrite218.0ms (5.2%)

Memory

9.3MiB live, 86.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	274
0	74	311
1	365	195
2	3483	193
0	9226	190

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 1 516

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) x)
(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
(/.f64 #s(literal 1/4 binary64) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x))))
(/.f64 #s(literal 1/16 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))
(fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 x (hypot.f64 (sqrt.f64 x) x))
(hypot.f64 (sqrt.f64 x) x)

Outputs
#s(literal 1 binary64)
(*.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 x (hypot.f64 (sqrt.f64 x) x))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))) (exp.f64 (log1p.f64 (+.f64 x (-.f64 x (hypot.f64 (sqrt.f64 x) x))))))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(.f64 (/.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9/2 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)) (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x x)) (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x x)))) (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3/2 binary64))))) (neg.f64 (fma.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (hypot.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x x)) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x x)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x x)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3/2 binary64))) #s(literal -1 binary64))) (neg.f64 (.f64 (fma.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x x)))) (neg.f64 (.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3/2 binary64))))) (neg.f64 (.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (fma.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x x)))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (+.f64 (hypot.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))))
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(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(fma.f64 #s(literal -1 binary64) (hypot.f64 (sqrt.f64 x) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)) (/.f64 (fma.f64 x x x) (+.f64 (hypot.f64 (sqrt.f64 x) x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (.f64 (hypot.f64 (sqrt.f64 x) x) x))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3/2 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (.f64 (hypot.f64 (sqrt.f64 x) x) x))))
(-.f64 x (hypot.f64 (sqrt.f64 x) x))
(+.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)) x)
(+.f64 x (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x)))
(.f64 (pow.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (sqrt.f64 (fma.f64 x x (neg.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 x (.f64 x x)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 x (.f64 x x))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 x (.f64 x x)) (-.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(sqrt.f64 (fma.f64 x x x))
(fabs.f64 (hypot.f64 (sqrt.f64 x) x))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) (sqrt.f64 x))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (sqrt.f64 x)) x)
(hypot.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (neg.f64 x) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (sqrt.f64 x) (neg.f64 x))
(hypot.f64 (sqrt.f64 x) x)
(hypot.f64 x (neg.f64 (sqrt.f64 x)))
(hypot.f64 x (sqrt.f64 x))
(exp.f64 (log.f64 (hypot.f64 (sqrt.f64 x) x)))

eval291.0ms (6.9%)

Memory: -37.0MiB live, 193.3MiB allocated
Compiler: Compiled 66 437 to 7 039 computations (89.4% saved)

prune45.0ms (1.1%)

Memory

2.0MiB live, 81.4MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1 924	14	1 938
Fresh	7	1	8
Picked	4	1	5
Done	0	0	0
Total	1 935	16	1 951

Accuracy

100.0%

Counts

1 951 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x (sqrt.f64 (fma.f64 x x x))))
	99.9%	(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (fma.f64 x x x)))) #s(literal 2 binary64))
	99.3%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
	99.2%	(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
	5.7%	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) x) x))
	2.6%	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
	5.7%	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(approx (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/8 binary64)) x #s(literal 5/64 binary64)) x)) (*.f64 x x)))
	2.6%	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(approx (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (.f64 x x)))
✓	6.3%	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
	97.2%	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
	5.7%	#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) #s(approx (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/64 binary64) x) #s(literal 1/8 binary64)) x)) x)))
	96.7%	#s(approx (/ 1 (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
	96.8%	#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
	5.7%	#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/8 binary64) x))
	95.8%	#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))

Compiler

Compiled 1 091 to 420 computations (61.5% saved)

regimes17.0ms (0.4%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/8 binary64) x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(approx (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (.f64 x x)))
#s(approx (/ 1 (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) #s(approx (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/64 binary64) x) #s(literal 1/8 binary64)) x)) x)))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(approx (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/8 binary64)) x #s(literal 5/64 binary64)) x)) (*.f64 x x)))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x)))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) x) x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x (sqrt.f64 (fma.f64 x x x))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 4 binary64))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))
(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (fma.f64 x x x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 (sqrt.f64 x) x) x))))))

Outputs

(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (fma.f64 x x x)))) #s(literal 2 binary64))

Calls

3 calls:

6.0ms	x
5.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
5.0ms	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))`
99.9%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes15.0ms (0.4%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/8 binary64) x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(approx (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (.f64 x x)))
#s(approx (/ 1 (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) #s(approx (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/64 binary64) x) #s(literal 1/8 binary64)) x)) x)))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(approx (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/8 binary64)) x #s(literal 5/64 binary64)) x)) (*.f64 x x)))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x)))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) x) x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x (sqrt.f64 (fma.f64 x x x))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x))) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 4 binary64))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (-.f64 x (hypot.f64 (sqrt.f64 x) x)))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))

Calls

3 calls:

5.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
4.0ms	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))`
99.8%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes12.0ms (0.3%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/8 binary64) x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(approx (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (.f64 x x)))
#s(approx (/ 1 (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) #s(approx (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/64 binary64) x) #s(literal 1/8 binary64)) x)) x)))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(approx (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/8 binary64)) x #s(literal 5/64 binary64)) x)) (*.f64 x x)))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x)))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) x) x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x (sqrt.f64 (fma.f64 x x x))))

Outputs
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))

Calls

3 calls:

4.0ms	x
3.0ms	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
3.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))`
99.3%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes10.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/8 binary64) x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(approx (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (.f64 x x)))
#s(approx (/ 1 (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) #s(approx (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/64 binary64) x) #s(literal 1/8 binary64)) x)) x)))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(approx (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/8 binary64)) x #s(literal 5/64 binary64)) x)) (*.f64 x x)))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x)))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) x) x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))

Outputs
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))

Calls

3 calls:

3.0ms	x
3.0ms	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
3.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))`
99.2%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes10.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/8 binary64) x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(approx (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (.f64 x x)))
#s(approx (/ 1 (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) #s(approx (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/64 binary64) x) #s(literal 1/8 binary64)) x)) x)))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(approx (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/8 binary64)) x #s(literal 5/64 binary64)) x)) (*.f64 x x)))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) (*.f64 x x)))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 1/64 binary64) x)))) x) x))

Outputs

#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) #s(approx (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/64 binary64) x) #s(literal 1/8 binary64)) x)) x)))

#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))

Calls

3 calls:

3.0ms	x
3.0ms	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
3.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.1%	2	`x`
99.1%	2	`(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))`
99.1%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes7.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/8 binary64) x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(approx (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (.f64 x x)))
#s(approx (/ 1 (/ (+ (sqrt x) (sqrt (+ 1 x))) (* (- (+ 1 x) x) (- (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))

Outputs

#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))

#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))

Calls

3 calls:

2.0ms	x
2.0ms	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
2.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
98.9%	2	`x`
98.9%	2	`(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))`
98.9%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes5.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/8 binary64) x))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))

Outputs

#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))

#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))

Calls

3 calls:

2.0ms	x
1.0ms	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
1.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
97.5%	2	`x`
97.5%	2	`(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))`
97.5%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes4.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/8 binary64) x))

#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))

#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))

Outputs
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))

Calls

3 calls:

1.0ms	x
1.0ms	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
1.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
95.8%	1	`x`
95.8%	1	`(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))`
95.8%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes4.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/8 binary64) x))

#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))

Outputs
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))

Calls

3 calls:

1.0ms	x
1.0ms	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
1.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
6.3%	1	`x`
6.3%	1	`(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))`
6.3%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes9.0ms (0.2%)

Memory

-90.7MiB live, 3.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/8 binary64) x))

Outputs
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/8 binary64) x))

Calls

3 calls:

6.0ms	x
1.0ms	(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))
1.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
5.7%	1	`(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64))`
5.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
5.7%	1	`x`

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.005469386273546206	0.7113437663452558

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.005469386273546206	0.7113437663452558

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.005469386273546206	0.7113437663452558

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify54.0ms (1.3%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	79	315
1	129	315
2	237	315
3	566	312
4	1738	312
5	6195	277

Stop Event

1×	node limit

Calls

Call 1

Inputs
(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (fma.f64 x x x)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) #s(approx (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/64 binary64) x) #s(literal 1/8 binary64)) x)) x))) #s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/8 binary64) x))

Outputs
(pow.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (fma.f64 x x x)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) #s(approx (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/64 binary64) x) #s(literal 1/8 binary64)) x)) x))) #s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) #s(approx (/ (- (/ 1/16 x) (- 1/8 (+ (* 1/4 x) (/ 1/64 x)))) (* x x)) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 5/64 binary64) x) #s(literal 1/8 binary64)) x)) x))) #s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
#s(approx (pow (- (sqrt (+ x 1)) (sqrt x)) 2) (/.f64 #s(literal 1/4 binary64) x))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/4 binary64) x))
#s(approx (+ (* (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (- x (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (/.f64 #s(literal 1/8 binary64) x))

soundness1.0s (23.8%)

Memory

25.8MiB live, 25.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	698
1	489	633
2	1329	613
3	4228	599
0	8141	552
0	887	4554
1	2696	3621
0	8594	3413
0	42	274
0	74	311
1	365	195
2	3483	193
0	9226	190
0	8	25
0	13	25
1	53	25
2	344	25
3	4646	25
0	8887	25

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 663 to 211 computations (68.2% saved)

preprocess56.0ms (1.3%)

Memory: -37.0MiB live, 39.8MiB allocated
Compiler: Compiled 864 to 174 computations (79.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

pow(sqrt(x + 1) - sqrt(x),2)

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.2s (27.3%)

explain94.0ms (2.2%)

preprocess170.0ms (4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify74.0ms (1.8%)

localize28.0ms (0.7%)

series28.0ms (0.7%)

simplify151.0ms (3.6%)

rewrite248.0ms (5.9%)

eval52.0ms (1.2%)

prune14.0ms (0.3%)

simplify132.0ms (3.1%)

localize119.0ms (2.8%)

series36.0ms (0.9%)

simplify154.0ms (3.6%)

rewrite218.0ms (5.2%)

eval291.0ms (6.9%)

prune45.0ms (1.1%)

regimes17.0ms (0.4%)

regimes15.0ms (0.4%)

regimes12.0ms (0.3%)

regimes10.0ms (0.2%)

regimes10.0ms (0.2%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify54.0ms (1.3%)

soundness1.0s (23.8%)

preprocess56.0ms (1.3%)

end0.0ms (0%)

Profiling