Metrics for R-sqrt(x)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 20 to 16 computations (20% saved)

sample1.2s (38.7%)

Memory

27.0MiB live, 616.7MiB allocated

Samples

690.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-<=: 88.0ms (32.7% of total)

ival-sqrt: 77.0ms (28.6% of total)

ival-sub: 50.0ms (18.6% of total)

ival-and: 27.0ms (10% of total)

exact: 23.0ms (8.5% of total)

ival-assert: 4.0ms (1.5% of total)

Bogosity

explain223.0ms (7.3%)

Memory

-37.4MiB live, 41.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sqrt.f64 x)`
-	-	`(-.f64 R (sqrt.f64 x))`
-	-	`R`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	1	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

21.0ms

512×

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sqrt: 4.0ms (50% of total)

ival-sub: 3.0ms (37.5% of total)

ival-true: 1.0ms (12.5% of total)

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

preprocess23.0ms (0.8%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	28	26
2	71	23
3	144	23
4	230	23
5	253	23
6	277	23
7	311	23
8	318	23
9	326	23
0	4	4
0	6	4
1	8	4
2	13	4
3	19	4
4	27	4
5	42	4
6	75	4
7	100	4
8	142	4
9	157	4
10	165	4
0	165	4

Stop Event

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

Calls

Call 1

Inputs
(-.f64 R (sqrt.f64 x))

Outputs
(-.f64 R (sqrt.f64 x))

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(-.f64 R (sqrt.f64 x))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify6.0ms (0.2%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(-.f64 R (sqrt.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	8	8
2	13	8
3	19	8
4	27	8
5	42	8
6	75	8
7	100	8
8	142	8
9	157	8
10	165	8
0	165	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 R (sqrt.f64 x))
R
(sqrt.f64 x)
x

Outputs
(-.f64 R (sqrt.f64 x))
R
(sqrt.f64 x)
x

localize14.0ms (0.5%)

Memory

5.1MiB live, 5.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(sqrt.f64 x)
accuracy	0.18816376953688402	(-.f64 R (sqrt.f64 x))

Samples

10.0ms

256×

valid

Compiler

Compiled 18 to 10 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sqrt: 2.0ms (52.4% of total)

ival-sub: 1.0ms (26.2% of total)

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

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

series2.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

2 → 10

Calls

Call 1

Inputs
(-.f64 R (sqrt.f64 x))
(sqrt.f64 x)

Outputs
(* -1 (sqrt x))
(- R (sqrt x))
R
(* R (+ 1 (* -1 (* (/ 1 R) (sqrt x)))))
(* -1 (* R (- (* (/ 1 R) (sqrt x)) 1)))
(sqrt x)
(* x (- (/ R x) (sqrt (/ 1 x))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (/ R x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- R (sqrt x)) (sqrt x))
0.0ms	x	@	inf	((- R (sqrt x)) (sqrt x))
0.0ms	R	@	inf	((- R (sqrt x)) (sqrt x))
0.0ms	R	@	0	((- R (sqrt x)) (sqrt x))
0.0ms	R	@	-inf	((- R (sqrt x)) (sqrt x))

simplify128.0ms (4.2%)

Memory

18.7MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	43
1	78	43
2	217	43
3	723	43
4	1833	39
5	2808	39
6	3596	39
7	4677	39
8	5718	39
9	6634	39
0	8167	39

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 9

Calls

Call 1

Inputs
(* -1 (sqrt x))
(- R (sqrt x))
R
(* R (+ 1 (* -1 (* (/ 1 R) (sqrt x)))))
(* -1 (* R (- (* (/ 1 R) (sqrt x)) 1)))
(sqrt x)
(* x (- (/ R x) (sqrt (/ 1 x))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (/ R x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

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

rewrite190.0ms (6.2%)

Memory

-31.3MiB live, 50.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
0	6	6
1	23	6
2	162	6
3	1465	6
0	9158	6

Stop Event

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

Counts

2 → 340

Calls

Call 1

Inputs
(-.f64 R (sqrt.f64 x))
(sqrt.f64 x)

Outputs
(*.f64 (pow.f64 (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 R (sqrt.f64 x)) (-.f64 (pow.f64 R #s(literal 4 binary64)) (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 R R x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 R (sqrt.f64 x)) (-.f64 (pow.f64 R #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (fma.f64 R R x) (pow.f64 R #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) (-.f64 (pow.f64 R #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) (-.f64 (pow.f64 R #s(literal 9 binary64)) (pow.f64 x #s(literal 9/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (pow.f64 R #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (pow.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) #s(literal 2 binary64))) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))
(.f64 (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (-.f64 (pow.f64 R #s(literal 6 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) R x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 x) R x) (-.f64 (fma.f64 (sqrt.f64 x) R x) (.f64 R R)) (pow.f64 R #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 x (.f64 R R)) (-.f64 (*.f64 R R) x)) (-.f64 (sqrt.f64 x) R))
(.f64 (/.f64 (-.f64 x (.f64 R R)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64)))) (neg.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))
(.f64 (/.f64 (-.f64 (.f64 R R) x) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64)))) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))
(.f64 (/.f64 (-.f64 (pow.f64 R #s(literal 4 binary64)) (.f64 x x)) (-.f64 R (sqrt.f64 x))) (pow.f64 (fma.f64 R R x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 R #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 R (sqrt.f64 x))) (pow.f64 (fma.f64 x (fma.f64 R R x) (pow.f64 R #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 R #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (pow.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 R #s(literal 9 binary64)) (pow.f64 x #s(literal 9/2 binary64))) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (pow.f64 R #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 R (/.f64 R (-.f64 R (sqrt.f64 x))) (/.f64 x (-.f64 R (sqrt.f64 x)))) (-.f64 R (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 R (/.f64 R (-.f64 R (sqrt.f64 x))) (/.f64 x (-.f64 R (sqrt.f64 x))))))
(.f64 (-.f64 (/.f64 (pow.f64 R #s(literal 6 binary64)) (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal 3 binary64))) (pow.f64 (/.f64 x (-.f64 R (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 R (sqrt.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) (/.f64 x (-.f64 R (sqrt.f64 x))))))))
(.f64 (-.f64 (/.f64 (pow.f64 R #s(literal 9 binary64)) (pow.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))))))
(*.f64 (/.f64 (-.f64 R (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 R R) (-.f64 R (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 x) R) x)) (pow.f64 (-.f64 (.f64 R R) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) (.f64 (neg.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 R #s(literal 4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 R R x) (-.f64 R (sqrt.f64 x)))))
(.f64 (-.f64 (pow.f64 R #s(literal 4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 R (sqrt.f64 x)) (fma.f64 R R x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 x) R))
(*.f64 (pow.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))))
(.f64 (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal -1 binary64)) (-.f64 (.f64 R R) x))
(.f64 (-.f64 (pow.f64 R #s(literal 9 binary64)) (pow.f64 x #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (pow.f64 R #s(literal 6 binary64))) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))
(.f64 (-.f64 (pow.f64 R #s(literal 9 binary64)) (pow.f64 x #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (pow.f64 R #s(literal 6 binary64))))))
(.f64 (-.f64 (pow.f64 R #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (fma.f64 R R x) (pow.f64 R #s(literal 4 binary64))) (-.f64 R (sqrt.f64 x)))))
(.f64 (-.f64 (pow.f64 R #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))))))
(.f64 (-.f64 (pow.f64 R #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 R (sqrt.f64 x)) (fma.f64 x (fma.f64 R R x) (pow.f64 R #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 R #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))
(.f64 (-.f64 x (.f64 R R)) (pow.f64 (-.f64 (sqrt.f64 x) R) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 R #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))
(*.f64 #s(literal 1 binary64) (-.f64 R (sqrt.f64 x)))
(*.f64 (-.f64 R (sqrt.f64 x)) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 R R) x) (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) (/.f64 (-.f64 R (sqrt.f64 x)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))
(.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 R R (.f64 (sqrt.f64 x) R)))))
(.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 R R (.f64 (neg.f64 (sqrt.f64 x)) R)))))
(*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (pow.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (sqrt.f64 x) R) (-.f64 (sqrt.f64 x) R))) (-.f64 (sqrt.f64 x) R))
(/.f64 (-.f64 (pow.f64 (.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) #s(literal 2 binary64)) (.f64 (neg.f64 (/.f64 x (-.f64 R (sqrt.f64 x)))) (neg.f64 (/.f64 x (-.f64 R (sqrt.f64 x)))))) (-.f64 (*.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) (neg.f64 (/.f64 x (-.f64 R (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))) (-.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (sqrt.f64 x) R) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (sqrt.f64 x) R) (-.f64 (sqrt.f64 x) R) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 x) R)))))
(/.f64 (+.f64 (/.f64 (pow.f64 R #s(literal 6 binary64)) (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 x (-.f64 R (sqrt.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 x (-.f64 R (sqrt.f64 x)))) (neg.f64 (/.f64 x (-.f64 R (sqrt.f64 x))))) (.f64 (.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) (neg.f64 (/.f64 x (-.f64 R (sqrt.f64 x))))))))
(/.f64 (+.f64 (/.f64 (pow.f64 R #s(literal 9 binary64)) (pow.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))) (.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))))))
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(-.f64 (/.f64 (pow.f64 (*.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) #s(literal 2 binary64)) (fma.f64 R (/.f64 R (-.f64 R (sqrt.f64 x))) (/.f64 x (-.f64 R (sqrt.f64 x))))) (/.f64 (pow.f64 (/.f64 x (-.f64 R (sqrt.f64 x))) #s(literal 2 binary64)) (fma.f64 R (/.f64 R (-.f64 R (sqrt.f64 x))) (/.f64 x (-.f64 R (sqrt.f64 x))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) #s(literal 2 binary64)) (-.f64 R (sqrt.f64 x))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) #s(literal 2 binary64)) (-.f64 R (sqrt.f64 x))))
(-.f64 (/.f64 (/.f64 (pow.f64 R #s(literal 6 binary64)) (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 R (sqrt.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) (/.f64 x (-.f64 R (sqrt.f64 x))))))) (/.f64 (pow.f64 (/.f64 x (-.f64 R (sqrt.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 R (sqrt.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) (/.f64 x (-.f64 R (sqrt.f64 x))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 R #s(literal 9 binary64)) (pow.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))))))
(-.f64 (/.f64 (.f64 (.f64 R R) (-.f64 R (sqrt.f64 x))) (-.f64 (.f64 R R) x)) (/.f64 (.f64 (-.f64 R (sqrt.f64 x)) x) (-.f64 (*.f64 R R) x)))
(-.f64 (/.f64 (.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (pow.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 R #s(literal 9 binary64)) (.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (pow.f64 R #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (pow.f64 R #s(literal 6 binary64))))))
(-.f64 (/.f64 (pow.f64 R #s(literal 6 binary64)) (.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 R #s(literal 4 binary64)) (fma.f64 R R x)) (-.f64 R (sqrt.f64 x))) (/.f64 (/.f64 (*.f64 x x) (fma.f64 R R x)) (-.f64 R (sqrt.f64 x))))
(-.f64 (/.f64 (/.f64 (pow.f64 R #s(literal 6 binary64)) (fma.f64 x (fma.f64 R R x) (pow.f64 R #s(literal 4 binary64)))) (-.f64 R (sqrt.f64 x))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 R R x) (pow.f64 R #s(literal 4 binary64)))) (-.f64 R (sqrt.f64 x))))
(-.f64 (/.f64 (/.f64 (pow.f64 R #s(literal 6 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64)))) (+.f64 x (fma.f64 R R (.f64 (sqrt.f64 x) R)))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64)))) (+.f64 x (fma.f64 R R (.f64 (sqrt.f64 x) R)))))
(-.f64 (/.f64 (/.f64 (pow.f64 R #s(literal 9 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (pow.f64 R #s(literal 6 binary64)))) (+.f64 x (fma.f64 R R (.f64 (sqrt.f64 x) R)))) (/.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (pow.f64 R #s(literal 6 binary64)))) (+.f64 x (fma.f64 R R (.f64 (sqrt.f64 x) R)))))
(-.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (+.f64 x (fma.f64 R R (.f64 (sqrt.f64 x) R)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 x (fma.f64 R R (.f64 (sqrt.f64 x) R)))))
(-.f64 (/.f64 (/.f64 (pow.f64 R #s(literal 6 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64)))) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64)))) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))
(-.f64 (/.f64 (/.f64 (pow.f64 R #s(literal 9 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (pow.f64 R #s(literal 6 binary64)))) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (/.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (pow.f64 R #s(literal 6 binary64)))) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))) (-.f64 (sqrt.f64 x) R))
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) R)) (/.f64 (*.f64 R R) (-.f64 (sqrt.f64 x) R)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 x) R)) (-.f64 (sqrt.f64 x) R))
(-.f64 (/.f64 (pow.f64 R #s(literal 4 binary64)) (.f64 (-.f64 R (sqrt.f64 x)) (fma.f64 R R x))) (/.f64 (.f64 x x) (*.f64 (-.f64 R (sqrt.f64 x)) (fma.f64 R R x))))
(-.f64 (/.f64 (pow.f64 R #s(literal 6 binary64)) (.f64 (-.f64 R (sqrt.f64 x)) (fma.f64 x (fma.f64 R R x) (pow.f64 R #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (-.f64 R (sqrt.f64 x)) (fma.f64 x (fma.f64 R R x) (pow.f64 R #s(literal 4 binary64))))))
(-.f64 (/.f64 (*.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) #s(literal 1 binary64)) (/.f64 (/.f64 x (-.f64 R (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 R #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 x) R))
(-.f64 (*.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) (/.f64 x (-.f64 R (sqrt.f64 x))))
(-.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))
(-.f64 R (neg.f64 (sqrt.f64 x)))
(-.f64 R (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 R (sqrt.f64 x)))
(+.f64 (.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) (.f64 (neg.f64 (/.f64 x (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))))) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))
(+.f64 (.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) (.f64 (neg.f64 (/.f64 x (-.f64 (*.f64 R R) x))) (-.f64 R (sqrt.f64 x))))
(+.f64 (.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (-.f64 R (sqrt.f64 x)))))
(+.f64 (.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) (.f64 (neg.f64 x) (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal -1 binary64))))
(+.f64 (*.f64 R (/.f64 R (-.f64 R (sqrt.f64 x)))) (neg.f64 (/.f64 x (-.f64 R (sqrt.f64 x)))))
(+.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (*.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)) #s(literal 2 binary64)))) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))
(+.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (pow.f64 R #s(literal 6 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) R x) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (sqrt.f64 x) R x) (-.f64 (fma.f64 (sqrt.f64 x) R x) (.f64 R R)) (pow.f64 R #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (/.f64 (pow.f64 x #s(literal 3/4 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))
(+.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))
(+.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (*.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))
(+.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))
(+.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))
(+.f64 (neg.f64 (sqrt.f64 x)) R)
(+.f64 (sqrt.f64 x) R)
(+.f64 R (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64))))
(+.f64 R (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(+.f64 R (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(+.f64 R (neg.f64 (sqrt.f64 x)))
(+.f64 R (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 x #s(literal 0 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (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 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))

eval40.0ms (1.3%)

Memory: 33.4MiB live, 33.4MiB allocated
Compiler: Compiled 9 043 to 786 computations (91.3% saved)

prune13.0ms (0.4%)

Memory

-63.4MiB live, 15.7MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	336	8	344
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	336	9	345

Accuracy

100.0%

Counts

345 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(fma.f64 (/.f64 (.f64 R R) (-.f64 (.f64 R R) x)) (-.f64 R (sqrt.f64 x)) (.f64 (neg.f64 (/.f64 x (-.f64 (.f64 R R) x))) (-.f64 R (sqrt.f64 x))))
	99.2%	(fma.f64 (.f64 R R) (/.f64 R (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))
▶	99.3%	(fma.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))
▶	99.6%	(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) R)
	99.4%	(/.f64 (fma.f64 (.f64 R R) (-.f64 R (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 x) R) x)) (-.f64 (*.f64 R R) x))
▶	99.7%	(-.f64 R (/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))))
✓	99.7%	(-.f64 R (sqrt.f64 x))
	99.6%	#s(approx (- R (sqrt x)) (fma.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) R))
▶	21.0%	#s(approx (- R (sqrt x)) (neg.f64 (sqrt.f64 x)))

Compiler

Compiled 286 to 158 computations (44.8% saved)

simplify201.0ms (6.5%)

Memory

30.5MiB live, 30.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 R #s(literal 3 binary64))
cost-diff	0	(neg.f64 (pow.f64 R #s(literal 3 binary64)))
cost-diff	192	(fma.f64 R R (fma.f64 (sqrt.f64 x) R x))
cost-diff	2048	(fma.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))
cost-diff	0	(*.f64 R R)
cost-diff	0	(/.f64 (.f64 R R) (-.f64 (.f64 R R) x))
cost-diff	128	(neg.f64 (/.f64 x (-.f64 (*.f64 R R) x)))
cost-diff	4288	(fma.f64 (/.f64 (.f64 R R) (-.f64 (.f64 R R) x)) (-.f64 R (sqrt.f64 x)) (.f64 (neg.f64 (/.f64 x (-.f64 (.f64 R R) x))) (-.f64 R (sqrt.f64 x))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
cost-diff	0	(neg.f64 x)
cost-diff	320	(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) R)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(neg.f64 (sqrt.f64 x))
cost-diff	0	#s(approx (- R (sqrt x)) (neg.f64 (sqrt.f64 x)))
cost-diff	0	(neg.f64 (sqrt.f64 x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(-.f64 R (/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))))
cost-diff	256	(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	228
0	58	205
1	114	202
2	292	194
3	829	194
4	2059	187
5	3933	187
6	5336	187
7	6081	187
8	6714	187
9	7176	187
10	7503	187
11	7913	187
0	8029	182

Stop Event

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

Calls

Call 1

Inputs
(-.f64 R (/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))))
R
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
x
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- R (sqrt x)) (neg.f64 (sqrt.f64 x)))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) R)
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
R
(fma.f64 (/.f64 (.f64 R R) (-.f64 (.f64 R R) x)) (-.f64 R (sqrt.f64 x)) (.f64 (neg.f64 (/.f64 x (-.f64 (.f64 R R) x))) (-.f64 R (sqrt.f64 x))))
(/.f64 (.f64 R R) (-.f64 (.f64 R R) x))
(*.f64 R R)
R
(-.f64 (*.f64 R R) x)
x
(-.f64 R (sqrt.f64 x))
(sqrt.f64 x)
(.f64 (neg.f64 (/.f64 x (-.f64 (.f64 R R) x))) (-.f64 R (sqrt.f64 x)))
(neg.f64 (/.f64 x (-.f64 (*.f64 R R) x)))
(/.f64 x (-.f64 (*.f64 R R) x))
(fma.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))
(neg.f64 (pow.f64 R #s(literal 3 binary64)))
(pow.f64 R #s(literal 3 binary64))
R
#s(literal 3 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))
#s(literal -1 binary64)
(fma.f64 R R (fma.f64 (sqrt.f64 x) R x))
(fma.f64 (sqrt.f64 x) R x)
(sqrt.f64 x)
x
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))
(neg.f64 (sqrt.f64 x))
(/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))

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

localize84.0ms (2.7%)

Memory

36.3MiB live, 36.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.265625	(/.f64 #s(literal -1 binary64) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))
accuracy	0.2786012816206538	(fma.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))
accuracy	0.28515625	(/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))
accuracy	0.3287887695368841	(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))
accuracy	0.2265625	(/.f64 x (-.f64 (*.f64 R R) x))
accuracy	0.26400375976844204	(fma.f64 (/.f64 (.f64 R R) (-.f64 (.f64 R R) x)) (-.f64 R (sqrt.f64 x)) (.f64 (neg.f64 (/.f64 x (-.f64 (.f64 R R) x))) (-.f64 R (sqrt.f64 x))))
accuracy	0.2890625	(/.f64 (.f64 R R) (-.f64 (.f64 R R) x))
accuracy	0.33041000976844204	(.f64 (neg.f64 (/.f64 x (-.f64 (.f64 R R) x))) (-.f64 R (sqrt.f64 x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(neg.f64 x)
accuracy	0.22028248993272953	(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) R)
accuracy	0.32421875	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(neg.f64 (sqrt.f64 x))
accuracy	50.53032379441119	#s(approx (- R (sqrt x)) (neg.f64 (sqrt.f64 x)))
accuracy	0.0	(neg.f64 (sqrt.f64 x))
accuracy	0.0	(neg.f64 x)
accuracy	0.18816376953688402	(-.f64 R (/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))))
accuracy	0.56640625	(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))

Samples

57.0ms

256×

valid

Compiler

Compiled 470 to 65 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 10.0ms (25.1% of total)

ival-mult: 10.0ms (25.1% of total)

ival-add: 6.0ms (15.1% of total)

ival-neg: 5.0ms (12.6% of total)

ival-sub: 4.0ms (10% of total)

ival-pow: 3.0ms (7.5% of total)

ival-sqrt: 2.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series73.0ms (2.4%)

Memory

-62.9MiB live, 15.6MiB allocated

Counts

21 → 178

Calls

Call 1

Inputs
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(-.f64 R (/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))))
(neg.f64 x)
(neg.f64 (sqrt.f64 x))
#s(approx (- R (sqrt x)) (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) R)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(fma.f64 (/.f64 (.f64 R R) (-.f64 (.f64 R R) x)) (-.f64 R (sqrt.f64 x)) (.f64 (neg.f64 (/.f64 x (-.f64 (.f64 R R) x))) (-.f64 R (sqrt.f64 x))))
(neg.f64 (/.f64 x (-.f64 (*.f64 R R) x)))
(/.f64 (.f64 R R) (-.f64 (.f64 R R) x))
(*.f64 R R)
(fma.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))
(fma.f64 R R (fma.f64 (sqrt.f64 x) R x))
(neg.f64 (pow.f64 R #s(literal 3 binary64)))
(pow.f64 R #s(literal 3 binary64))
(.f64 (neg.f64 (/.f64 x (-.f64 (.f64 R R) x))) (-.f64 R (sqrt.f64 x)))
(/.f64 x (-.f64 (*.f64 R R) x))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))
(/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))
(/.f64 #s(literal -1 binary64) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))

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

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	x	@	-inf	((/ (neg x) (neg (sqrt x))) (- R (/ (neg x) (neg (sqrt x)))) (neg x) (neg (sqrt x)) (- R (sqrt x)) (sqrt x) (+ (* (neg x) (/ 1 (sqrt x))) R) (/ 1 (sqrt x)) (+ (* (/ (* R R) (- (* R R) x)) (- R (sqrt x))) (* (neg (/ x (- (* R R) x))) (- R (sqrt x)))) (neg (/ x (- (* R R) x))) (/ (* R R) (- (* R R) x)) (* R R) (+ (* (neg (pow R 3)) (/ -1 (+ (* R R) (+ (* (sqrt x) R) x)))) (* (neg (sqrt x)) (/ x (+ (* R R) (+ (* (sqrt x) R) x))))) (+ (* R R) (+ (* (sqrt x) R) x)) (neg (pow R 3)) (pow R 3) (* (neg (/ x (- (* R R) x))) (- R (sqrt x))) (/ x (- (* R R) x)) (* (neg (sqrt x)) (/ x (+ (* R R) (+ (* (sqrt x) R) x)))) (/ x (+ (* R R) (+ (* (sqrt x) R) x))) (/ -1 (+ (* R R) (+ (* (sqrt x) R) x))))
10.0ms	x	@	0	((/ (neg x) (neg (sqrt x))) (- R (/ (neg x) (neg (sqrt x)))) (neg x) (neg (sqrt x)) (- R (sqrt x)) (sqrt x) (+ (* (neg x) (/ 1 (sqrt x))) R) (/ 1 (sqrt x)) (+ (* (/ (* R R) (- (* R R) x)) (- R (sqrt x))) (* (neg (/ x (- (* R R) x))) (- R (sqrt x)))) (neg (/ x (- (* R R) x))) (/ (* R R) (- (* R R) x)) (* R R) (+ (* (neg (pow R 3)) (/ -1 (+ (* R R) (+ (* (sqrt x) R) x)))) (* (neg (sqrt x)) (/ x (+ (* R R) (+ (* (sqrt x) R) x))))) (+ (* R R) (+ (* (sqrt x) R) x)) (neg (pow R 3)) (pow R 3) (* (neg (/ x (- (* R R) x))) (- R (sqrt x))) (/ x (- (* R R) x)) (* (neg (sqrt x)) (/ x (+ (* R R) (+ (* (sqrt x) R) x)))) (/ x (+ (* R R) (+ (* (sqrt x) R) x))) (/ -1 (+ (* R R) (+ (* (sqrt x) R) x))))
7.0ms	R	@	inf	((/ (neg x) (neg (sqrt x))) (- R (/ (neg x) (neg (sqrt x)))) (neg x) (neg (sqrt x)) (- R (sqrt x)) (sqrt x) (+ (* (neg x) (/ 1 (sqrt x))) R) (/ 1 (sqrt x)) (+ (* (/ (* R R) (- (* R R) x)) (- R (sqrt x))) (* (neg (/ x (- (* R R) x))) (- R (sqrt x)))) (neg (/ x (- (* R R) x))) (/ (* R R) (- (* R R) x)) (* R R) (+ (* (neg (pow R 3)) (/ -1 (+ (* R R) (+ (* (sqrt x) R) x)))) (* (neg (sqrt x)) (/ x (+ (* R R) (+ (* (sqrt x) R) x))))) (+ (* R R) (+ (* (sqrt x) R) x)) (neg (pow R 3)) (pow R 3) (* (neg (/ x (- (* R R) x))) (- R (sqrt x))) (/ x (- (* R R) x)) (* (neg (sqrt x)) (/ x (+ (* R R) (+ (* (sqrt x) R) x)))) (/ x (+ (* R R) (+ (* (sqrt x) R) x))) (/ -1 (+ (* R R) (+ (* (sqrt x) R) x))))
6.0ms	x	@	inf	((/ (neg x) (neg (sqrt x))) (- R (/ (neg x) (neg (sqrt x)))) (neg x) (neg (sqrt x)) (- R (sqrt x)) (sqrt x) (+ (* (neg x) (/ 1 (sqrt x))) R) (/ 1 (sqrt x)) (+ (* (/ (* R R) (- (* R R) x)) (- R (sqrt x))) (* (neg (/ x (- (* R R) x))) (- R (sqrt x)))) (neg (/ x (- (* R R) x))) (/ (* R R) (- (* R R) x)) (* R R) (+ (* (neg (pow R 3)) (/ -1 (+ (* R R) (+ (* (sqrt x) R) x)))) (* (neg (sqrt x)) (/ x (+ (* R R) (+ (* (sqrt x) R) x))))) (+ (* R R) (+ (* (sqrt x) R) x)) (neg (pow R 3)) (pow R 3) (* (neg (/ x (- (* R R) x))) (- R (sqrt x))) (/ x (- (* R R) x)) (* (neg (sqrt x)) (/ x (+ (* R R) (+ (* (sqrt x) R) x)))) (/ x (+ (* R R) (+ (* (sqrt x) R) x))) (/ -1 (+ (* R R) (+ (* (sqrt x) R) x))))
6.0ms	R	@	0	((/ (neg x) (neg (sqrt x))) (- R (/ (neg x) (neg (sqrt x)))) (neg x) (neg (sqrt x)) (- R (sqrt x)) (sqrt x) (+ (* (neg x) (/ 1 (sqrt x))) R) (/ 1 (sqrt x)) (+ (* (/ (* R R) (- (* R R) x)) (- R (sqrt x))) (* (neg (/ x (- (* R R) x))) (- R (sqrt x)))) (neg (/ x (- (* R R) x))) (/ (* R R) (- (* R R) x)) (* R R) (+ (* (neg (pow R 3)) (/ -1 (+ (* R R) (+ (* (sqrt x) R) x)))) (* (neg (sqrt x)) (/ x (+ (* R R) (+ (* (sqrt x) R) x))))) (+ (* R R) (+ (* (sqrt x) R) x)) (neg (pow R 3)) (pow R 3) (* (neg (/ x (- (* R R) x))) (- R (sqrt x))) (/ x (- (* R R) x)) (* (neg (sqrt x)) (/ x (+ (* R R) (+ (* (sqrt x) R) x)))) (/ x (+ (* R R) (+ (* (sqrt x) R) x))) (/ -1 (+ (* R R) (+ (* (sqrt x) R) x))))

simplify157.0ms (5.1%)

Memory

50.5MiB live, 50.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	896	5078
1	2890	4341
0	8694	4155

Stop Event

1×	iter limit
1×	node limit

Counts

178 → 176

Calls

Call 1

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

Outputs
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(- R (sqrt x))
(-.f64 R (sqrt.f64 x))
(+ R (* -1 (sqrt x)))
(-.f64 R (sqrt.f64 x))
(+ (* -1 (sqrt x)) (* R (+ 1 (* R (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x))))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) R #s(literal 1 binary64)) R (neg.f64 (sqrt.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (/ (pow R 2) x))
(fma.f64 R (/.f64 R x) #s(literal 1 binary64))
(+ 1 (* (pow R 2) (+ (/ 1 x) (/ (pow R 2) (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 R x) (/.f64 R x) (/.f64 #s(literal 1 binary64) x)) (*.f64 R R) #s(literal 1 binary64))
(+ 1 (* (pow R 2) (+ (* (pow R 2) (+ (/ 1 (pow x 2)) (/ (pow R 2) (pow x 3)))) (/ 1 x))))
(fma.f64 (fma.f64 (+.f64 (/.f64 (.f64 R R) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 R R) (/.f64 #s(literal 1 binary64) x)) (.f64 R R) #s(literal 1 binary64))
(* -1 (/ (pow R 2) x))
(/.f64 (*.f64 (neg.f64 R) R) x)
(* (pow R 2) (- (* -1 (/ (pow R 2) (pow x 2))) (/ 1 x)))
(.f64 (neg.f64 (fma.f64 (/.f64 R x) (/.f64 R x) (/.f64 #s(literal 1 binary64) x))) (.f64 R R))
(* (pow R 2) (- (* (pow R 2) (- (* -1 (/ (pow R 2) (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 R R) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 R R) (/.f64 #s(literal -1 binary64) x)) (*.f64 R R))
(* (pow R 2) (- (* (pow R 2) (- (* (pow R 2) (- (* -1 (/ (pow R 2) (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 R R) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 R R) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 R R) (/.f64 #s(literal -1 binary64) x)) (.f64 R R))
(pow R 2)
(*.f64 R R)
(+ (* -1 (sqrt x)) (* R (+ 1 (* (* (pow R 4) (+ (sqrt (/ 1 (pow x 7))) (* -1 (sqrt (/ 1 (pow x 7)))))) (sqrt (pow x 3))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 R #s(literal 4 binary64)) #s(literal 1 binary64)) R (neg.f64 (sqrt.f64 x)))
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(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(- (* -1 (/ (pow R 2) (* x (pow (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1) 2)))) (/ 1 (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1)))
(neg.f64 (fma.f64 (/.f64 R (pow.f64 (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 R x) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(- (* -1 (/ (- (/ (pow R 4) (* x (pow (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1) 3))) (* -1 (/ (pow R 2) (pow (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1) 2)))) x)) (/ 1 (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1)))
(fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 R #s(literal 4 binary64)) x) (pow.f64 (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 R R) (pow.f64 (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow R 6) (* x (pow (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1) 4)))) (/ (pow R 4) (pow (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1) 3))) x)) (* -1 (/ (pow R 2) (pow (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1) 2)))) x)) (/ 1 (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 R #s(literal 6 binary64)) (neg.f64 x)) (pow.f64 (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 R #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)))) x) #s(literal -1 binary64) (/.f64 (*.f64 R R) (pow.f64 (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(/ 1 (* x (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(* -1 (/ (- (* -1 (/ (pow R 2) (* x (pow (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1) 2)))) (/ 1 (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1))) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 R (pow.f64 (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 R x) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (pow R 4) (* x (pow (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1) 3))) (* -1 (/ (pow R 2) (pow (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1) 2)))) x)) (/ 1 (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1))) x))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 R #s(literal 4 binary64)) x) (pow.f64 (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 R R) (pow.f64 (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow R 6) (* x (pow (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1) 4)))) (/ (pow R 4) (pow (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1) 3))) x)) (* -1 (/ (pow R 2) (pow (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1) 2)))) x)) (/ 1 (- (* (* R (pow (sqrt -1) 2)) (sqrt (/ 1 x))) 1))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 R #s(literal 6 binary64)) (neg.f64 x)) (pow.f64 (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 R #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)))) x) #s(literal -1 binary64) (/.f64 (*.f64 R R) (pow.f64 (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 R) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (neg.f64 x))

rewrite250.0ms (8.2%)

Memory

-37.6MiB live, 74.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	186
0	58	157
1	245	148
2	2132	135
0	8978	129

Stop Event

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

Counts

21 → 1 363

Calls

Call 1

Inputs
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(-.f64 R (/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))))
(neg.f64 x)
(neg.f64 (sqrt.f64 x))
#s(approx (- R (sqrt x)) (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) R)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(fma.f64 (/.f64 (.f64 R R) (-.f64 (.f64 R R) x)) (-.f64 R (sqrt.f64 x)) (.f64 (neg.f64 (/.f64 x (-.f64 (.f64 R R) x))) (-.f64 R (sqrt.f64 x))))
(neg.f64 (/.f64 x (-.f64 (*.f64 R R) x)))
(/.f64 (.f64 R R) (-.f64 (.f64 R R) x))
(*.f64 R R)
(fma.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))
(fma.f64 R R (fma.f64 (sqrt.f64 x) R x))
(neg.f64 (pow.f64 R #s(literal 3 binary64)))
(pow.f64 R #s(literal 3 binary64))
(.f64 (neg.f64 (/.f64 x (-.f64 (.f64 R R) x))) (-.f64 R (sqrt.f64 x)))
(/.f64 x (-.f64 (*.f64 R R) x))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))))
(/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))
(/.f64 #s(literal -1 binary64) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))

Outputs
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 x (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(.f64 (/.f64 (-.f64 R (sqrt.f64 x)) (/.f64 (-.f64 (neg.f64 (neg.f64 (pow.f64 R #s(literal 9 binary64)))) (pow.f64 x #s(literal 9/2 binary64))) (pow.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) #s(literal 3 binary64)))) (/.f64 (-.f64 R (sqrt.f64 x)) (pow.f64 (-.f64 (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal 2 binary64)) (/.f64 (.f64 (neg.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64)))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) (-.f64 (pow.f64 R #s(literal 4 binary64)) (pow.f64 (fma.f64 R (sqrt.f64 x) x) #s(literal 2 binary64)))) (/.f64 (-.f64 R (sqrt.f64 x)) (pow.f64 (-.f64 (.f64 R R) (fma.f64 R (sqrt.f64 x) x)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) (+.f64 (pow.f64 (fma.f64 R (sqrt.f64 x) x) #s(literal 3 binary64)) (pow.f64 R #s(literal 6 binary64)))) (/.f64 (-.f64 R (sqrt.f64 x)) (pow.f64 (fma.f64 (fma.f64 R (sqrt.f64 x) x) (-.f64 (fma.f64 R (sqrt.f64 x) x) (.f64 R R)) (pow.f64 R #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 R (sqrt.f64 x)) (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (-.f64 R (sqrt.f64 x)) (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal -1 binary64))))
(.f64 (-.f64 x (.f64 R R)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 x)) R) #s(literal -1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))) (pow.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (pow.f64 R #s(literal 9 binary64)))) (pow.f64 x #s(literal 9/2 binary64))) (pow.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal 2 binary64)) (/.f64 (.f64 (neg.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64)))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 R R (neg.f64 x)) (pow.f64 (+.f64 R (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (neg.f64 (sqrt.f64 x)) R) (-.f64 x (*.f64 R R))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 R (sqrt.f64 x)) (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64)))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (neg.f64 (pow.f64 R #s(literal 9 binary64)))) (pow.f64 x #s(literal 9/2 binary64))) (pow.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 R (sqrt.f64 x)) (fma.f64 R R (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R (+.f64 R (sqrt.f64 x)) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (/.f64 x (fma.f64 R (+.f64 R (sqrt.f64 x)) x))) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R (+.f64 R (sqrt.f64 x)) x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (/.f64 x (fma.f64 R (+.f64 R (sqrt.f64 x)) x))) (neg.f64 (sqrt.f64 x))) (.f64 (neg.f64 (/.f64 x (fma.f64 R (+.f64 R (sqrt.f64 x)) x))) (neg.f64 (sqrt.f64 x)))) (.f64 (/.f64 (pow.f64 R #s(literal 3 binary64)) (fma.f64 R (+.f64 R (sqrt.f64 x)) x)) (.f64 (neg.f64 (/.f64 x (fma.f64 R (+.f64 R (sqrt.f64 x)) x))) (neg.f64 (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64)))) (fma.f64 R (+.f64 R (sqrt.f64 x)) x)) (.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (pow.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64)))) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 x (*.f64 R R)))) (neg.f64 (neg.f64 (-.f64 (neg.f64 (sqrt.f64 x)) R))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 R #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 R #s(literal 6 binary64))) (pow.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64))))) (fma.f64 R (+.f64 R (sqrt.f64 x)) x))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 R (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (pow.f64 R #s(literal 9 binary64)))) (pow.f64 x #s(literal 9/2 binary64))) (pow.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 R (sqrt.f64 x)) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64)))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64)))) (fma.f64 R (+.f64 R (sqrt.f64 x)) x) (*.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (pow.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 R (+.f64 R (sqrt.f64 x)) x) (*.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) (neg.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64))))))) (neg.f64 (pow.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 R #s(literal 3 binary64)))) (fma.f64 R (+.f64 R (sqrt.f64 x)) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 R #s(literal 3 binary64)))) (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))) (neg.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))) (neg.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x)))
(/.f64 (-.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64))))) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))) (neg.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x)))
(/.f64 (-.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64))) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))) (neg.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 R #s(literal 3 binary64)))) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))) (neg.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))) (neg.f64 (fma.f64 R (+.f64 R (sqrt.f64 x)) x)))
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eval173.0ms (5.6%)

Memory: -27.4MiB live, 127.5MiB allocated
Compiler: Compiled 41 910 to 3 928 computations (90.6% saved)

prune25.0ms (0.8%)

Memory

47.6MiB live, 47.6MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 232	6	1 238
Fresh	3	0	3
Picked	4	1	5
Done	0	1	1
Total	1 239	8	1 247

Accuracy

100.0%

Counts

1 247 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x R)
	99.6%	(/.f64 (fma.f64 R R (neg.f64 x)) (+.f64 R (sqrt.f64 x)))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 R (sqrt.f64 x)) (fma.f64 R R (neg.f64 x))))
	99.7%	(-.f64 R (/.f64 x (sqrt.f64 x)))
✓	99.7%	(-.f64 R (sqrt.f64 x))
	99.3%	#s(approx (- R (/ (neg x) (neg (sqrt x)))) (*.f64 (-.f64 (/.f64 R x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
	99.6%	#s(approx (- R (/ (neg x) (neg (sqrt x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) R)) R))
✓	21.0%	#s(approx (- R (sqrt x)) (neg.f64 (sqrt.f64 x)))

Compiler

Compiled 299 to 127 computations (57.5% saved)

regimes15.0ms (0.5%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (- R (sqrt x)) (neg.f64 (sqrt.f64 x)))
(-.f64 R (sqrt.f64 x))
(-.f64 R (/.f64 x (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x R)
(-.f64 R (/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))))
#s(approx (- R (sqrt x)) (fma.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) R))
#s(approx (- R (/ (neg x) (neg (sqrt x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) R)) R))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) R)
(/.f64 (fma.f64 R R (neg.f64 x)) (+.f64 R (sqrt.f64 x)))
#s(approx (- R (/ (neg x) (neg (sqrt x)))) (*.f64 (-.f64 (/.f64 R x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 R (sqrt.f64 x)) (fma.f64 R R (neg.f64 x))))
(/.f64 (fma.f64 (.f64 R R) (-.f64 R (sqrt.f64 x)) (.f64 (-.f64 (sqrt.f64 x) R) x)) (-.f64 (*.f64 R R) x))
(fma.f64 (/.f64 (.f64 R R) (-.f64 (.f64 R R) x)) (-.f64 R (sqrt.f64 x)) (.f64 (neg.f64 (/.f64 x (-.f64 (.f64 R R) x))) (-.f64 R (sqrt.f64 x))))
(fma.f64 (.f64 R R) (/.f64 R (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))
(fma.f64 (neg.f64 (pow.f64 R #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 R R (fma.f64 (sqrt.f64 x) R x))) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x (fma.f64 R R (fma.f64 (sqrt.f64 x) R x)))))

Outputs
(-.f64 R (sqrt.f64 x))

Calls

4 calls:

3.0ms	(sqrt.f64 x)
3.0ms	R
3.0ms	(-.f64 R (sqrt.f64 x))
3.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`R`
99.7%	1	`x`
99.7%	1	`(-.f64 R (sqrt.f64 x))`
99.7%	1	`(sqrt.f64 x)`

Compiler

Compiled 8 to 11 computations (-37.5% saved)

regimes6.0ms (0.2%)

Memory

-73.6MiB live, 6.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- R (sqrt x)) (neg.f64 (sqrt.f64 x)))

Outputs
#s(approx (- R (sqrt x)) (neg.f64 (sqrt.f64 x)))

Calls

4 calls:

2.0ms	R
1.0ms	(-.f64 R (sqrt.f64 x))
1.0ms	(sqrt.f64 x)
1.0ms	x

Results

Accuracy	Segments	Branch
21.0%	1	`R`
21.0%	1	`x`
21.0%	1	`(-.f64 R (sqrt.f64 x))`
21.0%	1	`(sqrt.f64 x)`

Compiler

Compiled 8 to 11 computations (-37.5% saved)

simplify22.0ms (0.7%)

Memory

18.0MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	12
2	16	12
3	17	12

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 R (sqrt.f64 x))
#s(approx (- R (sqrt x)) (neg.f64 (sqrt.f64 x)))

Outputs
(-.f64 R (sqrt.f64 x))
#s(approx (- R (sqrt x)) (neg.f64 (sqrt.f64 x)))

soundness219.0ms (7.1%)

Memory

3.8MiB live, 3.8MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	43
1	78	43
2	217	43
3	723	43
4	1833	39
5	2808	39
6	3596	39
7	4677	39
8	5718	39
9	6634	39
0	8167	39

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 15 to 12 computations (20% saved)

preprocess16.0ms (0.5%)

Memory: 12.7MiB live, 12.7MiB allocated
Compiler: Compiled 32 to 24 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	26
1	28	26
2	71	23
3	144	23
4	230	23
5	253	23
6	277	23
7	311	23
8	318	23
9	326	23
0	4	4
0	6	4
1	8	4
2	13	4
3	19	4
4	27	4
5	42	4
6	75	4
7	100	4
8	142	4
9	157	4
10	165	4
0	165	4

Iter	Nodes	Cost
0	12	26
1	28	26
2	71	23
3	144	23
4	230	23
5	253	23
6	277	23
7	311	23
8	318	23
9	326	23
0	4	4
0	6	4
1	8	4
2	13	4
3	19	4
4	27	4
5	42	4
6	75	4
7	100	4
8	142	4
9	157	4
10	165	4
0	165	4

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (38.7%)

explain223.0ms (7.3%)

preprocess23.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.2%)

localize14.0ms (0.5%)

series2.0ms (0.1%)

simplify128.0ms (4.2%)

rewrite190.0ms (6.2%)

eval40.0ms (1.3%)

prune13.0ms (0.4%)

simplify201.0ms (6.5%)

localize84.0ms (2.7%)

series73.0ms (2.4%)

simplify157.0ms (5.1%)

rewrite250.0ms (8.2%)

eval173.0ms (5.6%)

prune25.0ms (0.8%)

regimes15.0ms (0.5%)

regimes6.0ms (0.2%)

simplify22.0ms (0.7%)

soundness219.0ms (7.1%)

preprocess16.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	26
1	28	26
2	71	23
3	144	23
4	230	23
5	253	23
6	277	23
7	311	23
8	318	23
9	326	23
0	4	4
0	6	4
1	8	4
2	13	4
3	19	4
4	27	4
5	42	4
6	75	4
7	100	4
8	142	4
9	157	4
10	165	4
0	165	4