Metrics for sqrt(pow(x,2)+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%	50.3%	49.7%	0%	0%	0%	0
0%	0%	50.3%	49.7%	0%	0%	0%	1
50%	25.1%	25.1%	49.7%	0%	0%	0%	2
66.7%	25.1%	12.6%	49.7%	0%	12.6%	0%	3
80%	25.1%	6.3%	49.7%	0%	18.9%	0%	4
88.9%	25.1%	3.1%	49.7%	0%	22%	0%	5
94.1%	25.1%	1.6%	49.7%	0%	23.6%	0%	6
97%	25.1%	0.8%	49.7%	0%	24.4%	0%	7
98.5%	25.1%	0.4%	49.7%	0%	24.7%	0%	8
99.2%	25.1%	0.2%	49.7%	0%	24.9%	0%	9
99.6%	25.1%	0.1%	49.7%	0%	25%	0%	10
99.8%	25.1%	0%	49.7%	0%	25.1%	0%	11
99.9%	25.1%	0%	49.7%	0%	25.1%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.0s (31.8%)

Memory

81.8MiB live, 527.8MiB allocated

Samples

696.0ms	8 256×	0	valid
1.0ms	10×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 452.0ms

ival-sqrt: 172.0ms (38% of total)

ival-pow2: 102.0ms (22.6% of total)

ival-sub: 50.0ms (11.1% of total)

ival-<=: 49.0ms (10.8% of total)

ival-add: 44.0ms (9.7% of total)

exact: 18.0ms (4% of total)

ival-and: 12.0ms (2.7% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain135.0ms (4.2%)

Memory

-95.1MiB live, 50.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

33.0ms

512×

valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sqrt: 7.0ms (36.2% of total)

ival-pow2: 6.0ms (31.1% of total)

ival-add: 3.0ms (15.5% of total)

ival-sub: 2.0ms (10.4% of total)

ival-true: 1.0ms (5.2% of total)

exact: 1.0ms (5.2% of total)

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

preprocess18.0ms (0.6%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	21	21
2	50	20
3	111	20
4	189	20
5	248	20
6	285	20
7	302	20
0	8	9
0	13	9
1	19	9
2	23	9
3	29	9
4	37	9
5	52	9
6	84	9
7	111	9
8	160	9
9	176	9
10	184	9
0	184	8

Stop Event

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

Calls

Call 1

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

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

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
▶	100.0%	(-.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify6.0ms (0.2%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	13	28
1	19	28
2	23	28
3	29	28
4	37	28
5	52	28
6	84	28
7	111	28
8	160	28
9	176	28
10	184	28
0	184	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.7%)

Memory

9.4MiB live, 9.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.00390625	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy	0.021816259768442016	(-.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 x))

Samples

16.0ms

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: 3.0ms (31.3% of total)

ival-pow2: 3.0ms (31.3% of total)

ival-sub: 1.0ms (10.4% of total)

ival-add: 1.0ms (10.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

5 → 29

Calls

Call 1

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

Outputs
1
(+ 1 (pow x 2))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 (pow x 2))) (sqrt x))
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (sqrt x))
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (sqrt x))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(sqrt x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* x (- 1 (sqrt (/ 1 x))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (sqrt (/ 1 x))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (sqrt (/ 1 x)) (/ 1/8 (pow x 4)))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (+ (sqrt (/ 1 x)) (/ 1/8 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 (* x (- 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1/8 (pow x 4))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1/8 (pow x 4))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (pow x 2) 1) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (sqrt (+ (pow x 2) 1)) (pow x 2) (sqrt x))
1.0ms	x	@	inf	((+ (pow x 2) 1) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (sqrt (+ (pow x 2) 1)) (pow x 2) (sqrt x))
1.0ms	x	@	0	((+ (pow x 2) 1) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (sqrt (+ (pow x 2) 1)) (pow x 2) (sqrt x))

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify143.0ms (4.5%)

Memory

32.6MiB live, 32.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	365
1	224	349
2	725	344
3	2672	310
4	5782	306
5	7950	306
0	8156	284

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

Inputs
1
(+ 1 (pow x 2))
(- 1 (sqrt x))
(- (+ 1 (* 1/2 (pow x 2))) (sqrt x))
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (sqrt x))
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (sqrt x))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(sqrt x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* x (- 1 (sqrt (/ 1 x))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (sqrt (/ 1 x))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (sqrt (/ 1 x)) (/ 1/8 (pow x 4)))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (+ (sqrt (/ 1 x)) (/ 1/8 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 (* x (- 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1/8 (pow x 4))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1/8 (pow x 4))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

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

rewrite174.0ms (5.4%)

Memory

-35.4MiB live, 46.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	13	25
1	53	25
2	333	25
3	3668	25
0	8556	22

Stop Event

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

Counts

5 → 258

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
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(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(fma.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64)) (sqrt.f64 x))
(-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x x)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))

eval34.0ms (1.1%)

Memory: 26.7MiB live, 26.7MiB allocated
Compiler: Compiled 5 983 to 1 033 computations (82.7% saved)

prune8.0ms (0.3%)

Memory

13.2MiB live, 13.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	275	9	284
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	276	9	285

Accuracy

100.0%

Counts

285 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
	99.9%	(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
	99.9%	(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
▶	100.0%	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x))
▶	98.7%	(-.f64 #s(approx (sqrt (+ (pow x 2) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 x))
	5.6%	(-.f64 #s(approx (sqrt (+ (pow x 2) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 x))
▶	98.7%	#s(approx (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
	98.7%	#s(approx (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
▶	98.3%	#s(approx (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))

Compiler

Compiled 346 to 212 computations (38.7% saved)

simplify127.0ms (3.9%)

Memory

-53.8MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
cost-diff	0	(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
cost-diff	0	(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff	0	(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
cost-diff	0	#s(approx (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (+ (pow x 2) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (sqrt (+ (pow x 2) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
cost-diff	0	#s(approx (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	249
0	51	245
1	92	245
2	154	245
3	343	245
4	843	245
5	2190	245
6	4853	245
7	7856	245
0	8348	245

Stop Event

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

Calls

Call 1

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

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

localize73.0ms (2.3%)

Memory

34.0MiB live, 34.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
accuracy	0.021816259768442016	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	0.0234375	(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
accuracy	0.0390625	(/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.01171875	(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
accuracy	0.01953125	(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy	0.8470751391856268	#s(approx (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.021816259768442016	(-.f64 #s(approx (sqrt (+ (pow x 2) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	0.8069892603888653	#s(approx (sqrt (+ (pow x 2) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.01953125	(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy	1.0677912003461172	#s(approx (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy	0.0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.00390625	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	0.021816259768442016	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x))

Samples

53.0ms

256×

valid

Compiler

Compiled 239 to 30 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 9.0ms (24.4% of total)

ival-add: 8.0ms (21.7% of total)

ival-hypot: 5.0ms (13.6% of total)

ival-sub: 4.0ms (10.9% of total)

ival-sqrt: 4.0ms (10.9% of total)

ival-div: 3.0ms (8.1% of total)

ival-pow2: 2.0ms (5.4% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.4%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

18 → 83

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((- (sqrt (+ (* x x) 1)) (sqrt x)) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (sqrt x) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (- 1 (sqrt x)) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (sqrt (+ (pow x 2) 1)) (+ (* 1/2 (* x x)) 1) (* x x) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (+ (* (* (+ (* -1/8 (* x x)) 1/2) x) x) (- 1 (sqrt x))) (* (+ (* -1/8 (* x x)) 1/2) x) (+ (* -1/8 (* x x)) 1/2) (+ (* (/ (+ (* x x) 1) (- (+ (* x x) 1) x)) (- (sqrt (+ (* x x) 1)) (sqrt x))) (neg (/ x (+ (sqrt x) (sqrt (+ (* x x) 1)))))) (/ (+ (* x x) 1) (- (+ (* x x) 1) x)) (- (+ (* x x) 1) x) (/ x (+ (sqrt x) (sqrt (+ (* x x) 1)))))
4.0ms	x	@	inf	((- (sqrt (+ (* x x) 1)) (sqrt x)) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (sqrt x) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (- 1 (sqrt x)) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (sqrt (+ (pow x 2) 1)) (+ (* 1/2 (* x x)) 1) (* x x) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (+ (* (* (+ (* -1/8 (* x x)) 1/2) x) x) (- 1 (sqrt x))) (* (+ (* -1/8 (* x x)) 1/2) x) (+ (* -1/8 (* x x)) 1/2) (+ (* (/ (+ (* x x) 1) (- (+ (* x x) 1) x)) (- (sqrt (+ (* x x) 1)) (sqrt x))) (neg (/ x (+ (sqrt x) (sqrt (+ (* x x) 1)))))) (/ (+ (* x x) 1) (- (+ (* x x) 1) x)) (- (+ (* x x) 1) x) (/ x (+ (sqrt x) (sqrt (+ (* x x) 1)))))
3.0ms	x	@	0	((- (sqrt (+ (* x x) 1)) (sqrt x)) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (sqrt x) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (- 1 (sqrt x)) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (sqrt (+ (pow x 2) 1)) (+ (* 1/2 (* x x)) 1) (* x x) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (+ (* (* (+ (* -1/8 (* x x)) 1/2) x) x) (- 1 (sqrt x))) (* (+ (* -1/8 (* x x)) 1/2) x) (+ (* -1/8 (* x x)) 1/2) (+ (* (/ (+ (* x x) 1) (- (+ (* x x) 1) x)) (- (sqrt (+ (* x x) 1)) (sqrt x))) (neg (/ x (+ (sqrt x) (sqrt (+ (* x x) 1)))))) (/ (+ (* x x) 1) (- (+ (* x x) 1) x)) (- (+ (* x x) 1) x) (/ x (+ (sqrt x) (sqrt (+ (* x x) 1)))))

Time

Variable

Point

Expression

5.0ms

-inf

((- (sqrt (+ (* x x) 1)) (sqrt x)) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (sqrt x) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (- 1 (sqrt x)) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (sqrt (+ (pow x 2) 1)) (+ (* 1/2 (* x x)) 1) (* x x) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (+ (* (* (+ (* -1/8 (* x x)) 1/2) x) x) (- 1 (sqrt x))) (* (+ (* -1/8 (* x x)) 1/2) x) (+ (* -1/8 (* x x)) 1/2) (+ (* (/ (+ (* x x) 1) (- (+ (* x x) 1) x)) (- (sqrt (+ (* x x) 1)) (sqrt x))) (neg (/ x (+ (sqrt x) (sqrt (+ (* x x) 1)))))) (/ (+ (* x x) 1) (- (+ (* x x) 1) x)) (- (+ (* x x) 1) x) (/ x (+ (sqrt x) (sqrt (+ (* x x) 1)))))

4.0ms

inf

((- (sqrt (+ (* x x) 1)) (sqrt x)) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (sqrt x) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (- 1 (sqrt x)) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (sqrt (+ (pow x 2) 1)) (+ (* 1/2 (* x x)) 1) (* x x) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (+ (* (* (+ (* -1/8 (* x x)) 1/2) x) x) (- 1 (sqrt x))) (* (+ (* -1/8 (* x x)) 1/2) x) (+ (* -1/8 (* x x)) 1/2) (+ (* (/ (+ (* x x) 1) (- (+ (* x x) 1) x)) (- (sqrt (+ (* x x) 1)) (sqrt x))) (neg (/ x (+ (sqrt x) (sqrt (+ (* x x) 1)))))) (/ (+ (* x x) 1) (- (+ (* x x) 1) x)) (- (+ (* x x) 1) x) (/ x (+ (sqrt x) (sqrt (+ (* x x) 1)))))

3.0ms

((- (sqrt (+ (* x x) 1)) (sqrt x)) (sqrt (+ (* x x) 1)) (+ (* x x) 1) (sqrt x) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (- 1 (sqrt x)) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (sqrt (+ (pow x 2) 1)) (+ (* 1/2 (* x x)) 1) (* x x) (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (+ (* (* (+ (* -1/8 (* x x)) 1/2) x) x) (- 1 (sqrt x))) (* (+ (* -1/8 (* x x)) 1/2) x) (+ (* -1/8 (* x x)) 1/2) (+ (* (/ (+ (* x x) 1) (- (+ (* x x) 1) x)) (- (sqrt (+ (* x x) 1)) (sqrt x))) (neg (/ x (+ (sqrt x) (sqrt (+ (* x x) 1)))))) (/ (+ (* x x) 1) (- (+ (* x x) 1) x)) (- (+ (* x x) 1) x) (/ x (+ (sqrt x) (sqrt (+ (* x x) 1)))))

simplify181.0ms (5.6%)

Memory

-25.5MiB live, 50.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	354	1776
1	1059	1589
2	3474	1549
0	8736	1483

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 82

Calls

Call 1

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

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

rewrite267.0ms (8.3%)

Memory

3.3MiB live, 94.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	185
0	51	181
1	236	181
2	1904	177
0	8206	177

Stop Event

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

Counts

18 → 999

Calls

Call 1

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

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

eval197.0ms (6.1%)

Memory: 2.2MiB live, 151.0MiB allocated
Compiler: Compiled 72 646 to 4 701 computations (93.5% saved)

prune29.0ms (0.9%)

Memory

-18.6MiB live, 60.4MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 467	4	1 471
Fresh	2	2	4
Picked	0	5	5
Done	0	0	0
Total	1 469	11	1 480

Accuracy

100.0%

Counts

1 480 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
	99.9%	(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
	100.0%	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	100.0%	(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x))
✓	98.7%	(-.f64 #s(approx (sqrt (+ (pow x 2) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 x))
	5.6%	(-.f64 #s(approx (sqrt (+ (pow x 2) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 x))
	2.0%	(-.f64 #s(approx (sqrt (+ (pow x 2) 1)) #s(approx (+ (* 1/2 (* x x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (sqrt.f64 x))
✓	98.7%	#s(approx (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
	98.7%	#s(approx (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
✓	98.3%	#s(approx (- (sqrt (+ (pow x 2) 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	1.9%	#s(approx (- (sqrt (+ (pow x 2) 1)) (sqrt x)) #s(approx (- 1 (sqrt x)) (neg.f64 (sqrt.f64 x))))

Compiler

Compiled 467 to 208 computations (55.5% saved)

regimes7.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 9 computations (10% saved)

regimes6.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 9 computations (10% saved)

regimes5.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(-.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 9 computations (10% saved)

regimes3.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (sqrt (+ (pow x 2) 1)) (sqrt x)) #s(approx (- 1 (sqrt x)) (neg.f64 (sqrt.f64 x))))

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(-.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 9 computations (10% saved)

regimes2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ (pow x 2) 1)) (sqrt x)) #s(approx (- 1 (sqrt x)) (neg.f64 (sqrt.f64 x))))

Outputs
#s(approx (- (sqrt (+ (pow x 2) 1)) (sqrt x)) #s(approx (- 1 (sqrt x)) (neg.f64 (sqrt.f64 x))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
1.9%	1	`x`
1.9%	1	`(-.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 9 computations (10% saved)

simplify70.0ms (2.2%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	72
1	43	72
2	57	72
3	75	72
4	100	72
5	128	72
6	227	72
7	600	72
8	3634	72
9	7472	72

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness638.0ms (19.8%)

Memory

7.8MiB live, 7.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	13	25
1	53	25
2	333	25
3	3668	25
0	8556	22
0	354	1776
1	1059	1589
2	3474	1549
0	8736	1483
0	79	365
1	224	349
2	725	344
3	2672	310
4	5782	306
5	7950	306
0	8156	284
0	30	185
0	51	181
1	236	181
2	1904	177
0	8206	177

Stop Event

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

Compiler

Compiled 144 to 73 computations (49.3% saved)

preprocess27.0ms (0.8%)

Memory: 19.2MiB live, 19.2MiB allocated
Compiler: Compiled 162 to 68 computations (58% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.0s (31.8%)

explain135.0ms (4.2%)

preprocess18.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.2%)

localize23.0ms (0.7%)

series4.0ms (0.1%)

simplify143.0ms (4.5%)

rewrite174.0ms (5.4%)

eval34.0ms (1.1%)

prune8.0ms (0.3%)

simplify127.0ms (3.9%)

localize73.0ms (2.3%)

series14.0ms (0.4%)

simplify181.0ms (5.6%)

rewrite267.0ms (8.3%)

eval197.0ms (6.1%)

prune29.0ms (0.9%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

simplify70.0ms (2.2%)

soundness638.0ms (19.8%)

preprocess27.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	23
1	21	21
2	50	20
3	111	20
4	189	20
5	248	20
6	285	20
7	302	20
0	8	9
0	13	9
1	19	9
2	23	9
3	29	9
4	37	9
5	52	9
6	84	9
7	111	9
8	160	9
9	176	9
10	184	9
0	184	8

Iter	Nodes	Cost
0	8	28
0	13	28
1	19	28
2	23	28
3	29	28
4	37	28
5	52	28
6	84	28
7	111	28
8	160	28
9	176	28
10	184	28
0	184	25

Iter	Nodes	Cost
0	10	23
1	21	21
2	50	20
3	111	20
4	189	20
5	248	20
6	285	20
7	302	20
0	8	9
0	13	9
1	19	9
2	23	9
3	29	9
4	37	9
5	52	9
6	84	9
7	111	9
8	160	9
9	176	9
10	184	9
0	184	8

Iter	Nodes	Cost
0	8	28
0	13	28
1	19	28
2	23	28
3	29	28
4	37	28
5	52	28
6	84	28
7	111	28
8	160	28
9	176	28
10	184	28
0	184	25

Iter	Nodes	Cost
0	10	23
1	21	21
2	50	20
3	111	20
4	189	20
5	248	20
6	285	20
7	302	20
0	8	9
0	13	9
1	19	9
2	23	9
3	29	9
4	37	9
5	52	9
6	84	9
7	111	9
8	160	9
9	176	9
10	184	9
0	184	8

Iter	Nodes	Cost
0	8	28
0	13	28
1	19	28
2	23	28
3	29	28
4	37	28
5	52	28
6	84	28
7	111	28
8	160	28
9	176	28
10	184	28
0	184	25