Metrics for Jmat.Real.erfi, branch x greater than or equal to 5

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 107 to 34 computations (68.2% saved)

sample2.8s (36.5%)

Memory

126.4MiB live, 5 946.1MiB allocated

Samples

2.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-mult: 903.0ms (50.9% of total)

ival-div: 406.0ms (22.9% of total)

ival-add: 159.0ms (9% of total)

ival-sqrt: 71.0ms (4% of total)

ival-exp: 65.0ms (3.7% of total)

ival-fabs: 52.0ms (2.9% of total)

ival-pi: 45.0ms (2.5% of total)

ival->=: 38.0ms (2.1% of total)

exact: 28.0ms (1.6% of total)

ival-assert: 4.0ms (0.2% of total)

adjust: 3.0ms (0.2% of total)

Bogosity

explain857.0ms (11.3%)

Memory

70.2MiB live, 3 507.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	`(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	`(.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))`
-	-	`#s(literal 8 binary64)`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))`
-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))`
-	-	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
-	-	`(/.f64 #s(literal 1 binary64) (fabs.f64 x))`
-	-	`(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	`(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))`
-	-	`#s(literal 15 binary64)`
-	-	`(PI.f64)`
-	-	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
-	-	`(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	`(*.f64 (fabs.f64 x) (fabs.f64 x))`
-	-	`(fabs.f64 x)`
-	-	`#s(literal 4 binary64)`
-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))`
-	-	(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
-	-	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
-	-	`(sqrt.f64 (PI.f64))`
-	-	`(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))`
-	-	`#s(literal 2 binary64)`
-	-	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	`(.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))`
-	-	`x`
-	-	`(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

170.0ms

512×

valid

Compiler

Compiled 1 173 to 97 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 78.0ms (54.9% of total)

ival-add: 27.0ms (19% of total)

ival-div: 19.0ms (13.4% of total)

ival-exp: 5.0ms (3.5% of total)

ival-sqrt: 4.0ms (2.8% of total)

ival-fabs: 3.0ms (2.1% of total)

ival-pi: 2.0ms (1.4% of total)

exact: 2.0ms (1.4% of total)

ival-true: 1.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

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

preprocess1.1s (15.1%)

Memory

-195.0MiB live, 244.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	195
1	122	109
2	549	77
3	3507	74
0	31	97
0	58	95
1	139	54
2	513	38
3	3077	37
0	8113	34

Stop Event

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

Calls

Call 1

Inputs

(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Outputs

(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

(*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) #s(literal 15/8 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -3/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))

Symmetry

(abs x)

Compiler

Compiled 103 to 31 computations (69.9% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Status

Accuracy

Program

▶

100.0%

(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Compiler

Compiled 103 to 31 computations (69.9% saved)

simplify253.0ms (3.3%)

Memory

-3.5MiB live, 275.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	5	(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff	5	(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff	5	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff	5	(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	503
0	58	495
1	139	281
2	513	209
3	3077	194
0	8113	185

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(fabs.f64 x)
x
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15 binary64)
#s(literal 8 binary64)
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))

Outputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) #s(literal 15/8 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -3/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(pow.f64 (exp.f64 x) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(fabs.f64 x)
x
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) #s(literal 15/8 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -3/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -3/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) #s(literal 3/4 binary64))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3/4 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 4 binary64))
(.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) #s(literal 15/8 binary64))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15/8 binary64)
#s(literal 15 binary64)
#s(literal 8 binary64)
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))
(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 6 binary64))

localize95.0ms (1.3%)

Memory

-12.4MiB live, 136.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy	0.0859375	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy	0.2109375	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy	1.0	(sqrt.f64 (PI.f64))

Samples

60.0ms

256×

valid

Compiler

Compiled 535 to 33 computations (93.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 24.0ms (51.5% of total)

ival-div: 12.0ms (25.7% of total)

ival-add: 3.0ms (6.4% of total)

ival-exp: 2.0ms (4.3% of total)

ival-sqrt: 2.0ms (4.3% of total)

ival-pi: 1.0ms (2.1% of total)

ival-fabs: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

series42.0ms (0.6%)

Memory

-9.6MiB live, 35.7MiB allocated

Counts

7 → 6

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(sqrt.f64 (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))

Outputs
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 7))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 3))

Calls

3 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	((* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
6.0ms	x	@	inf	((* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
5.0ms	x	@	0	((* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))

Time

Variable

Point

Expression

30.0ms

-inf

((* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))

6.0ms

inf

((* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))

5.0ms

((* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))

simplify6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	36
1	29	35
2	42	35
3	80	35
4	146	35
5	204	35
6	218	35
0	218	35

Stop Event

1×	iter limit
1×	saturated

Counts

6 → 6

Calls

Call 1

Inputs
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 7))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 3))

Outputs
(/ 1 (pow (fabs x) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (pow (fabs x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 7))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))

rewrite174.0ms (2.3%)

Memory

19.4MiB live, 163.7MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	131
0	22	76
1	82	37
2	540	22
3	3662	20
0	8304	20

Stop Event

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

Counts

7 → 382

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(sqrt.f64 (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))

Outputs
(*.f64 (pow.f64 x #s(literal -7/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (neg.f64 x)) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal -9/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -7/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -9/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -5 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (log.f64 x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 (log.f64 x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -5 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 10 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -10 binary64))
(pow.f64 (neg.f64 x) #s(literal -5 binary64))
(pow.f64 (*.f64 x x) #s(literal -5/2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 5 binary64))
(pow.f64 x #s(literal -5 binary64))
(/.f64 (pow.f64 x #s(literal -9/2 binary64)) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -4 binary64)) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -4 binary64)) x)
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(neg.f64 (pow.f64 x #s(literal -5 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -5/2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 5 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 5 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)) #s(literal 5 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal -5 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -5/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) (log.f64 (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 5 binary64)))
(+.f64 (cosh.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (log.f64 x)))) (sinh.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (log.f64 x)))))
(+.f64 (cosh.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) (log.f64 (pow.f64 x #s(literal -3 binary64))))) (sinh.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) (log.f64 (pow.f64 x #s(literal -3 binary64))))))
(+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 5 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 5 binary64))))
(*.f64 (pow.f64 x #s(literal -7/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -7/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (log.f64 x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 (log.f64 x)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -8 binary64))
(pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal -4 binary64))
(pow.f64 (*.f64 x x) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 4 binary64))
(pow.f64 x #s(literal -4 binary64))
(/.f64 (pow.f64 x #s(literal -7/2 binary64)) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -3 binary64)) x)
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(neg.f64 (pow.f64 x #s(literal -4 binary64)))
(fabs.f64 (pow.f64 x #s(literal -4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -4 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64) (neg.f64 (log.f64 x))))
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) (*.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64) (neg.f64 (log.f64 x)))) (sinh.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64) (neg.f64 (log.f64 x)))))
(+.f64 (cosh.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) (.f64 #s(literal -2 binary64) (log.f64 x)))) (sinh.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) (.f64 #s(literal -2 binary64) (log.f64 x)))))
(+.f64 (cosh.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (pow.f64 x #s(literal -3 binary64))))) (sinh.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (pow.f64 x #s(literal -3 binary64))))))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 4 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -7/2 binary64)) (pow.f64 x #s(literal -7/2 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -9/2 binary64)))
(*.f64 (pow.f64 x #s(literal -9/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (pow.f64 x #s(literal -11/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -13/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -11/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -13/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -7 binary64)))
(*.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -5 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -6 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -7 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -7 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 14 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -7/4 binary64))
(pow.f64 (*.f64 x x) #s(literal -7/2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 7/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 7 binary64))
(pow.f64 x #s(literal -7 binary64))
(/.f64 (pow.f64 x #s(literal -13/2 binary64)) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -5 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 x #s(literal -5 binary64)) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -6 binary64)) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -6 binary64)) x)
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))
(neg.f64 (pow.f64 x #s(literal -7 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 7 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 7 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)) #s(literal 7 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 7 binary64)))
(*.f64 (pow.f64 x #s(literal -7/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -7/2 binary64)))
(*.f64 (pow.f64 x #s(literal -9/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -11/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -9/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -11/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -6 binary64)))
(*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -5 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -6 binary64)))
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eval168.0ms (2.2%)

Memory: -28.5MiB live, 355.1MiB allocated
Compiler: Compiled 68 861 to 4 260 computations (93.8% saved)

prune12.0ms (0.2%)

Memory

0.6MiB live, 47.4MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	737	1	738
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	738	1	739

Accuracy

100.0%

Counts

739 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Status

Accuracy

Program

▶

100.0%

(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Compiler

Compiled 94 to 38 computations (59.6% saved)

simplify122.0ms (1.6%)

Memory

-8.7MiB live, 229.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	5	(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff	5	(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff	5	(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff	5	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	510
0	71	484
1	169	302
2	626	245
3	4036	214
0	8212	208

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(fabs.f64 x)
x
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
#s(literal -1 binary64)
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 x x)
(.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15 binary64)
#s(literal 8 binary64)
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))

Outputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) #s(literal 15/8 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64))))) (fabs.f64 x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(pow.f64 (exp.f64 x) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(fabs.f64 x)
x
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) #s(literal 15/8 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64))))) (fabs.f64 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64))))) (fabs.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) #s(literal 3/4 binary64))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3/4 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 4 binary64))
#s(literal -1 binary64)
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 x x)
(.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) #s(literal 15/8 binary64))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15/8 binary64)
#s(literal 15 binary64)
#s(literal 8 binary64)
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))
(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 6 binary64))
(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 4 binary64))

localize122.0ms (1.6%)

Memory

26.3MiB live, 216.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
accuracy	0.2109375	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy	0.3423250283897835	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy	1.0	(sqrt.f64 (PI.f64))

Samples

73.0ms

256×

valid

Compiler

Compiled 542 to 40 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 27.0ms (46.9% of total)

ival-div: 18.0ms (31.3% of total)

ival-add: 3.0ms (5.2% of total)

ival-exp: 2.0ms (3.5% of total)

ival-sqrt: 2.0ms (3.5% of total)

ival-pi: 1.0ms (1.7% of total)

ival-fabs: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

series14.0ms (0.2%)

Memory

-23.6MiB live, 33.3MiB allocated

Counts

8 → 7

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(sqrt.f64 (PI.f64))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))

Outputs
(/ 1 (* (pow x 4) (fabs x)))
(/ 1 (pow (fabs x) 7))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow x 4))
(/ 1 (pow (fabs x) 2))
(* -1 (pow x 4))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (/ -1 (* (* (neg x) x) (* x x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (neg x) x) (* x x)))
4.0ms	x	@	0	((* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (/ -1 (* (* (neg x) x) (* x x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (neg x) x) (* x x)))
3.0ms	x	@	-inf	((* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (/ -1 (* (* (neg x) x) (* x x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (neg x) x) (* x x)))

Time

Variable

Point

Expression

6.0ms

inf

((* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (/ -1 (* (* (neg x) x) (* x x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (neg x) x) (* x x)))

4.0ms

((* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (/ -1 (* (* (neg x) x) (* x x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (neg x) x) (* x x)))

3.0ms

-inf

((* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (sqrt (PI)) (/ -1 (* (* (neg x) x) (* x x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (neg x) x) (* x x)))

simplify10.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	41
1	32	40
2	42	40
3	64	40
4	93	40
5	110	40
6	127	40
7	148	40
8	198	40
9	246	40
10	281	40
11	328	40
12	336	40
0	336	40

Stop Event

1×	iter limit
1×	saturated

Counts

7 → 7

Calls

Call 1

Inputs
(/ 1 (* (pow x 4) (fabs x)))
(/ 1 (pow (fabs x) 7))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow x 4))
(/ 1 (pow (fabs x) 2))
(* -1 (pow x 4))

Outputs
(/ 1 (* (pow x 4) (fabs x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fabs.f64 x))
(/ 1 (pow (fabs x) 7))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))

rewrite103.0ms (1.4%)

Memory

2.1MiB live, 139.5MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	131
0	35	86
1	114	41
2	706	25
3	4246	23
0	8301	23

Stop Event

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

Counts

8 → 456

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(sqrt.f64 (PI.f64))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))

Outputs
(.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal -3/2 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -4 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -4 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -5 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -5 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 10 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -10 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/4 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 5 binary64))
(pow.f64 x #s(literal -5 binary64))
(pow.f64 (*.f64 x x) #s(literal -5/2 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal -4 binary64)) x)
(/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) x))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) x))
(neg.f64 (pow.f64 x #s(literal -5 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 5 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 5 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 5 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -5 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -5 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal -5 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -5/2 binary64)))
(exp.f64 (-.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) (log.f64 (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 5 binary64)))
(+.f64 (cosh.f64 (-.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))) (.f64 (log.f64 x) #s(literal 2 binary64)))) (sinh.f64 (-.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))) (.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (log.f64 x)))) (sinh.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (log.f64 x)))))
(+.f64 (cosh.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) (log.f64 (pow.f64 x #s(literal -3 binary64))))) (sinh.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) (log.f64 (pow.f64 x #s(literal -3 binary64))))))
(+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 5 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 5 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal -5 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -5 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -4 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal -3/2 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -4 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -6 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -6 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -4 binary64)))
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(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -5 binary64)))
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(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/12 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/4 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(sqrt.f64 (PI.f64))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (/.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (/.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (PI.f64)))) (sinh.f64 (log.f64 (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x x)))
(.f64 (pow.f64 x #s(literal -3/2 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) x))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -8 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 4 binary64))
(pow.f64 x #s(literal -4 binary64))
(pow.f64 (*.f64 x x) #s(literal -2 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal -3 binary64)) x)
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(neg.f64 (pow.f64 x #s(literal -4 binary64)))
(fabs.f64 (pow.f64 x #s(literal -4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64) (neg.f64 (log.f64 x))))
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) (*.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 2 binary64)))) (sinh.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64) (neg.f64 (log.f64 x)))) (sinh.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64) (neg.f64 (log.f64 x)))))
(+.f64 (cosh.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) (.f64 #s(literal -2 binary64) (log.f64 x)))) (sinh.f64 (fma.f64 #s(literal -2 binary64) (log.f64 x) (.f64 #s(literal -2 binary64) (log.f64 x)))))
(+.f64 (cosh.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (pow.f64 x #s(literal -3 binary64))))) (sinh.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (pow.f64 x #s(literal -3 binary64))))))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 4 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -4 binary64)))
(-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (sinh.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))))
(+.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 8 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 4 binary64) (log.f64 x))))
(+.f64 (cosh.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))

eval86.0ms (1.1%)

Memory: -15.9MiB live, 174.1MiB allocated
Compiler: Compiled 37 686 to 2 717 computations (92.8% saved)

prune6.0ms (0.1%)

Memory

23.8MiB live, 23.9MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	436	1	437
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	437	1	438

Accuracy

100.0%

Counts

438 → 1

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

100.0%

(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))))

Compiler

Compiled 63 to 36 computations (42.9% saved)

simplify120.0ms (1.6%)

Memory

-2.7MiB live, 172.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	3	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
cost-diff	4	(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
cost-diff	4	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff	4	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	315
0	66	307
1	146	221
2	509	208
3	3190	176
0	8090	174

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(fabs.f64 x)
x
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
#s(literal -1 binary64)
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 x x)
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15 binary64)
#s(literal 8 binary64)
(pow.f64 x #s(literal -7 binary64))
#s(literal -7 binary64)

Outputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(pow.f64 (exp.f64 x) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(fabs.f64 x)
x
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64))))
(fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(/.f64 (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
#s(literal 3/4 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fabs.f64 x))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal -1 binary64)
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 x x)
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))
(*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15/8 binary64)
#s(literal 15 binary64)
#s(literal 8 binary64)
(pow.f64 x #s(literal -7 binary64))
#s(literal -7 binary64)

localize113.0ms (1.5%)

Memory

-7.8MiB live, 140.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
accuracy	0.2109375	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy	0.3423250283897835	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy	1.0	(sqrt.f64 (PI.f64))

Samples

88.0ms

256×

valid

Compiler

Compiled 347 to 38 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 31.0ms (50% of total)

ival-mult: 17.0ms (27.4% of total)

ival-add: 3.0ms (4.8% of total)

ival-pow: 3.0ms (4.8% of total)

ival-exp: 2.0ms (3.2% of total)

ival-sqrt: 2.0ms (3.2% of total)

ival-pi: 1.0ms (1.6% of total)

ival-fabs: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

series7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

6 → 8

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(sqrt.f64 (PI.f64))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))

Outputs
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 2))
(* -1 (pow x 4))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ (+ (* (pow x 4) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (* 3/4 (/ 1 (fabs x)))) (pow x 4))
(/ 1 (pow x 4))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 4) (fabs x))))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

((* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (neg x) x) (* x x)) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (sqrt (PI)) (/ -1 (* (* (neg x) x) (* x x))))

2.0ms

inf

((* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (neg x) x) (* x x)) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (sqrt (PI)) (/ -1 (* (* (neg x) x) (* x x))))

2.0ms

-inf

((* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (neg x) x) (* x x)) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (sqrt (PI)) (/ -1 (* (* (neg x) x) (* x x))))

simplify90.0ms (1.2%)

Memory

-11.2MiB live, 84.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	88
1	76	87
2	195	80
3	586	70
4	2501	70
5	5868	70
6	7546	70
0	8017	70

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

Inputs
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 2))
(* -1 (pow x 4))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ (+ (* (pow x 4) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (* 3/4 (/ 1 (fabs x)))) (pow x 4))
(/ 1 (pow x 4))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 4) (fabs x))))))

Outputs
(/ 1 (pow (fabs x) 3))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(/ 1 (pow (fabs x) 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(/ 3/4 (* (pow x 4) (fabs x)))
(/.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) (fabs.f64 x))
(/ (+ (* (pow x 4) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (* 3/4 (/ 1 (fabs x)))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 x))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 4) (fabs x))))))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 x))

rewrite111.0ms (1.5%)

Memory

1.2MiB live, 137.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	82
0	44	60
1	145	44
2	983	29
0	9585	27

Stop Event

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

Counts

6 → 368

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(sqrt.f64 (PI.f64))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))

Outputs
(.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
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(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 2 binary64)) #s(literal 9/16 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 3/4 binary64)) (pow.f64 x #s(literal -5 binary64)))))) (/.f64 (.f64 #s(literal -27/64 binary64) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 2 binary64)) #s(literal 9/16 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 3/4 binary64)) (pow.f64 x #s(literal -5 binary64)))))))
(+.f64 (fma.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (/.f64 (.f64 #s(literal -27/64 binary64) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64))) (fma.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64))) (fma.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64))) (fma.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))))) (/.f64 (.f64 #s(literal -27/64 binary64) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64))) (fma.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 2 binary64)) #s(literal 9/16 binary64)) (fma.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -4 binary64)))) x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -4 binary64)))) x))
(+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)))) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64))))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3 binary64)))))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (PI.f64)))) (sinh.f64 (log.f64 (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -4 binary64)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 4 binary64))
(pow.f64 x #s(literal -4 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 x #s(literal -3 binary64)) x)
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(neg.f64 (pow.f64 x #s(literal -4 binary64)))
(fabs.f64 (pow.f64 x #s(literal -4 binary64)))
(exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))

eval63.0ms (0.8%)

Memory: 13.0MiB live, 108.2MiB allocated
Compiler: Compiled 22 694 to 2 024 computations (91.1% saved)

prune5.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	374	1	375
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	375	1	376

Accuracy

100.0%

Counts

376 → 1

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

100.0%

(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))))

Compiler

Compiled 74 to 44 computations (40.5% saved)

simplify94.0ms (1.2%)

Memory

8.7MiB live, 99.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1	(+.f64 #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64))))
cost-diff	2	(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
cost-diff	2	(*.f64 (fabs.f64 x) (fabs.f64 x))
cost-diff	2	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	245
0	61	237
1	145	191
2	457	176
3	2507	164
4	7110	164
0	8434	162

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 #s(approx (+ (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(fabs.f64 x)
x
(+.f64 #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64))))
#s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15 binary64)
#s(literal 8 binary64)
(pow.f64 x #s(literal -7 binary64))
#s(literal -7 binary64)

Outputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 #s(approx (+ (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) #s(approx (+ (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))) (sqrt.f64 (PI.f64))) (pow.f64 (exp.f64 x) x))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
(pow.f64 (exp.f64 x) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(fabs.f64 x)
x
(+.f64 #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64))))
(fma.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64) #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))))
#s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))
(*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
#s(literal 15/8 binary64)
#s(literal 15 binary64)
#s(literal 8 binary64)
(pow.f64 x #s(literal -7 binary64))
#s(literal -7 binary64)

localize93.0ms (1.2%)

Memory

-10.5MiB live, 132.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))
accuracy	0.12219227415770983	#s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
accuracy	0.6387656445512008	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	1.0	(sqrt.f64 (PI.f64))

Samples

72.0ms

256×

valid

Compiler

Compiled 234 to 42 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 32.0ms (53.1% of total)

ival-div: 12.0ms (19.9% of total)

ival-add: 5.0ms (8.3% of total)

ival-pow: 3.0ms (5% of total)

ival-exp: 2.0ms (3.3% of total)

ival-sqrt: 2.0ms (3.3% of total)

ival-pi: 1.0ms (1.7% of total)

ival-fabs: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

series17.0ms (0.2%)

Memory

-24.2MiB live, 21.1MiB allocated

Counts

8 → 11

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
(+.f64 #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64))))
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))

Outputs
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(pow (fabs x) 2)
(/ 15/8 (pow x 7))
(/ (+ 15/8 (* 3/4 (/ (pow x 3) (fabs x)))) (pow x 7))
(/ (+ 15/8 (* (pow x 3) (+ (* (pow x 4) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (* 3/4 (/ 1 (fabs x)))))) (pow x 7))
(/ 1/2 (pow x 2))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ (+ (* (pow x 4) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (* 3/4 (/ 1 (fabs x)))) (pow x 4))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 4) (fabs x))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (/ 3/4 (* (pow x 4) (fabs x))) (+ (/ 1 (fabs x)) (/ 15/8 (pow x 7)))))

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

((* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)) (/ 15 8) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (* (/ 15 8) (pow x -7))) (sqrt (PI)) (/ 1/2 (* x x)) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (* (/ 15 8) (pow x -7)))

7.0ms

-inf

((* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)) (/ 15 8) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (* (/ 15 8) (pow x -7))) (sqrt (PI)) (/ 1/2 (* x x)) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (* (/ 15 8) (pow x -7)))

3.0ms

inf

((* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)) (/ 15 8) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (* (/ 15 8) (pow x -7))) (sqrt (PI)) (/ 1/2 (* x x)) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (* (/ 15 8) (pow x -7)))

simplify153.0ms (2%)

Memory

49.6MiB live, 183.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	161
1	128	156
2	446	147
3	1753	136
4	7463	134
0	8802	131

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

Inputs
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(pow (fabs x) 2)
(/ 15/8 (pow x 7))
(/ (+ 15/8 (* 3/4 (/ (pow x 3) (fabs x)))) (pow x 7))
(/ (+ 15/8 (* (pow x 3) (+ (* (pow x 4) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (* 3/4 (/ 1 (fabs x)))))) (pow x 7))
(/ 1/2 (pow x 2))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ (+ (* (pow x 4) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (* 3/4 (/ 1 (fabs x)))) (pow x 4))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 4) (fabs x))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (/ 3/4 (* (pow x 4) (fabs x))) (+ (/ 1 (fabs x)) (/ 15/8 (pow x 7)))))

Outputs
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(*.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(pow (fabs x) 2)
(*.f64 x x)
(/ 15/8 (pow x 7))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* 3/4 (/ (pow x 3) (fabs x)))) (pow x 7))
(/.f64 (fma.f64 (/.f64 #s(literal 3/4 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 3 binary64)) #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* (pow x 3) (+ (* (pow x 4) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (* 3/4 (/ 1 (fabs x)))))) (pow x 7))
(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64)) (fabs.f64 x)) (pow.f64 x #s(literal 3 binary64)) #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7 binary64)))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 3/4 (* (pow x 4) (fabs x)))
(/.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) (fabs.f64 x))
(/ (+ (* (pow x 4) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (* 3/4 (/ 1 (fabs x)))) (pow x 4))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 x))
(+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 4) (fabs x))))))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 x))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (/ 3/4 (* (pow x 4) (fabs x))) (+ (/ 1 (fabs x)) (/ 15/8 (pow x 7)))))
(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 x)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))))

rewrite140.0ms (1.8%)

Memory

-1.1MiB live, 142.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	135
0	59	111
1	224	93
2	1495	79
0	9557	72

Stop Event

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

Counts

8 → 100

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))
(+.f64 #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64))))
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))

Outputs
(*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) x))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) x)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) x) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
(fma.f64 (cosh.f64 (.f64 x x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (sinh.f64 (*.f64 x x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (cosh.f64 (.f64 x x)) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (sinh.f64 (*.f64 x x))))
(exp.f64 (-.f64 (*.f64 x x) (log.f64 (sqrt.f64 (PI.f64)))))
(exp.f64 (fma.f64 x x (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal -1 binary64) (*.f64 x x)))
(+.f64 (.f64 (cosh.f64 (.f64 x x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (sinh.f64 (.f64 x x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(+.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (cosh.f64 (.f64 x x))) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (sinh.f64 (.f64 x x))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 15/8 binary64)
(/.f64 (-.f64 (.f64 (pow.f64 #s(approx (+ (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) (.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64)))) (.f64 (-.f64 #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) (.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64))) (.f64 (pow.f64 x #s(literal -14 binary64)) #s(literal 225/64 binary64)))) (.f64 (-.f64 #s(approx (+ (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) (.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64))) (-.f64 #s(approx (+ (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64)) #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x))) (pow.f64 #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64)) #s(approx (+ (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x))) (pow.f64 #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal -21 binary64)) #s(literal 3375/512 binary64)))) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64)) #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x))) (pow.f64 #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) #s(literal 2 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 15/8 binary64)) #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x))) (pow.f64 #s(approx (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) x)) #s(literal 2 binary64)))))
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eval20.0ms (0.3%)

Memory: -15.6MiB live, 29.6MiB allocated
Compiler: Compiled 10 124 to 570 computations (94.4% saved)

prune5.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	1	112

Accuracy

100.0%

Counts

112 → 1

Alt Table

Click to see full alt table

Status

Accuracy

Program

100.0%

(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (* (/ 15 8) (pow x -7))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))))

Compiler

Compiled 482 to 128 computations (73.4% saved)

regimes11.0ms (0.1%)

Memory

-33.8MiB live, 11.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (* (/ 15 8) (pow x -7))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 #s(approx (+ (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -7 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Outputs

(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (* (/ 15 8) (pow x -7))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))))

Calls

3 calls:

2.0ms

(fabs.f64 x)

1.0ms

(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Results

Accuracy	Segments	Branch
100.0%	1	`(fabs.f64 x)`
100.0%	1	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
100.0%	1	`x`

Compiler

Compiled 106 to 34 computations (67.9% saved)

simplify63.0ms (0.8%)

Memory

8.6MiB live, 63.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	66
1	104	54
2	382	51
3	2095	45
4	6385	43
5	7925	43

Stop Event

1×	node limit

Calls

Call 1

Inputs

(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (* (/ 15 8) (pow x -7))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))))

Outputs

(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (* (/ 15 8) (pow x -7))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))))

(*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (exp.f64 (*.f64 x x))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))))) (* (/ 15 8) (pow x -7))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))))

derivations465.0ms (6.1%)

Memory

-38.3MiB live, 379.2MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	88
1	76	87
2	195	80
3	586	70
4	2501	70
5	5868	70
6	7546	70
0	8017	70
0	19	131
0	35	86
1	114	41
2	706	25
3	4246	23
0	8301	23
0	12	131
0	22	76
1	82	37
2	540	22
3	3662	20
0	8304	20
0	47	161
1	128	156
2	446	147
3	1753	136
4	7463	134
0	8802	131

Stop Event

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

Compiler

Compiled 72 to 44 computations (38.9% saved)

preprocess22.0ms (0.3%)

Memory: 33.7MiB live, 33.7MiB allocated
Remove: (abs x)
Compiler: Compiled 638 to 326 computations (48.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	41
1	32	40
2	42	40
3	64	40
4	93	40
5	110	40
6	127	40
7	148	40
8	198	40
9	246	40
10	281	40
11	328	40
12	336	40
0	336	40

Iter	Nodes	Cost
0	22	41
1	32	40
2	42	40
3	64	40
4	93	40
5	110	40
6	127	40
7	148	40
8	198	40
9	246	40
10	281	40
11	328	40
12	336	40
0	336	40

start0.0ms (0%)

analyze0.0ms (0%)

sample2.8s (36.5%)

explain857.0ms (11.3%)

preprocess1.1s (15.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify253.0ms (3.3%)

localize95.0ms (1.3%)

series42.0ms (0.6%)

simplify6.0ms (0.1%)

rewrite174.0ms (2.3%)

eval168.0ms (2.2%)

prune12.0ms (0.2%)

simplify122.0ms (1.6%)

localize122.0ms (1.6%)

series14.0ms (0.2%)

simplify10.0ms (0.1%)

rewrite103.0ms (1.4%)

eval86.0ms (1.1%)

prune6.0ms (0.1%)

simplify120.0ms (1.6%)

localize113.0ms (1.5%)

series7.0ms (0.1%)

simplify90.0ms (1.2%)

rewrite111.0ms (1.5%)

eval63.0ms (0.8%)

prune5.0ms (0.1%)

simplify94.0ms (1.2%)

localize93.0ms (1.2%)

series17.0ms (0.2%)

simplify153.0ms (2%)

rewrite140.0ms (1.8%)

eval20.0ms (0.3%)

prune5.0ms (0.1%)

regimes11.0ms (0.1%)

simplify63.0ms (0.8%)

derivations465.0ms (6.1%)

preprocess22.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	41
1	32	40
2	42	40
3	64	40
4	93	40
5	110	40
6	127	40
7	148	40
8	198	40
9	246	40
10	281	40
11	328	40
12	336	40
0	336	40