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

start4.0ms (0.1%)

Memory: -39.0MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample2.1s (25.7%)

Memory

76.0MiB live, 2 332.1MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 627.0ms (49.9% of total)

ival-div: 297.0ms (23.7% of total)

ival-add: 96.0ms (7.6% of total)

ival-sqrt: 60.0ms (4.8% of total)

ival-exp: 54.0ms (4.3% of total)

ival-fabs: 35.0ms (2.8% of total)

ival-pi: 32.0ms (2.5% of total)

ival->=: 25.0ms (2% of total)

exact: 24.0ms (1.9% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain960.0ms (12%)

Memory

-29.3MiB live, 742.2MiB 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

324.0ms

512×

valid

Compiler

Compiled 1 173 to 97 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 295.0ms

ival-mult: 248.0ms (84.1% of total)

ival-div: 27.0ms (9.2% of total)

ival-add: 6.0ms (2% of total)

ival-sqrt: 4.0ms (1.4% of total)

ival-exp: 3.0ms (1% of total)

ival-fabs: 3.0ms (1% of total)

ival-pi: 2.0ms (0.7% of total)

ival-true: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

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

preprocess285.0ms (3.6%)

Memory

5.7MiB live, 208.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 878×	`lower-fma.f64`
17 878×	`lower-fma.f32`
3 728×	`lower-*.f32`
3 704×	`lower-*.f64`
2 218×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	195
1	102	109
2	418	81
3	2113	67
4	7958	67
0	31	97
0	58	95
1	114	54
2	339	40
3	1234	33
4	3563	33
5	5185	32
6	5973	32
7	6315	32
8	6316	32
9	6316	32
10	7812	32
0	8158	31

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

Symmetry

(abs x)

Compiler

Compiled 103 to 31 computations (69.9% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune2.0ms (0%)

Memory

-36.8MiB live, 1.8MiB 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)

simplify188.0ms (2.4%)

Memory

29.6MiB live, 144.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1280	(.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	1280	(.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	6208	(+.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)))))
cost-diff	6272	(+.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)))))

Rules

17 878×	`lower-fma.f64`
17 878×	`lower-fma.f32`
3 728×	`lower-*.f32`
3 704×	`lower-*.f64`
2 218×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	503
0	58	495
1	114	281
2	339	214
3	1234	181
4	3563	178
5	5185	176
6	5973	175
7	6315	175
8	6316	175
9	6316	175
10	7812	175
0	8158	173

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

localize100.0ms (1.3%)

Memory

-22.7MiB live, 140.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.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	0.125	(.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	0.2858200195368841	(*.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

48.0ms

256×

valid

Compiler

Compiled 535 to 33 computations (93.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 18.0ms (51.2% of total)

ival-div: 7.0ms (19.9% of total)

ival-add: 3.0ms (8.5% of total)

ival-exp: 2.0ms (5.7% of total)

ival-sqrt: 2.0ms (5.7% of total)

ival-pi: 1.0ms (2.8% of total)

ival-fabs: 1.0ms (2.8% of total)

exact: 1.0ms (2.8% of total)

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

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

series22.0ms (0.3%)

Memory

34.2MiB live, 34.2MiB allocated

Counts

7 → 72

Calls

Call 1

Inputs
#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ())
#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())

Outputs
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#s(alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (taylor -inf x) (#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (taylor -inf x) (#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (taylor -inf x) (#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 4)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 6)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 6)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 6)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 6)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 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	@	0	((+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 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	@	-inf	((+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 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

7.0ms

inf

((+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 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

((+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 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

-inf

((+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 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))))

simplify14.0ms (0.2%)

Memory

-5.4MiB live, 30.5MiB allocated

Algorithm

1×	egg-herbie

Rules

140×	`lower-*.f64`
140×	`lower-*.f32`
120×	`lower-fma.f64`
120×	`lower-fma.f32`
92×	`associate-r`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	25	636
1	40	624
2	58	624
3	81	624
4	106	624
5	142	624
6	189	600
7	261	600
8	268	600
9	269	600
0	269	600

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite208.0ms (2.6%)

Memory

5.0MiB live, 237.9MiB allocated

Rules

13 478×	`lower-fma.f64`
13 478×	`lower-fma.f32`
6 400×	`lower-*.f32`
6 386×	`lower-*.f64`
2 238×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	142
0	37	79
1	122	53
2	903	45
0	8545	44

Stop Event

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

Counts

7 → 497

Calls

Call 1

Inputs
(+.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 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 (*.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 #s(literal 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
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eval248.0ms (3.1%)

Memory: 10.6MiB live, 249.6MiB allocated
Compiler: Compiled 78 208 to 3 817 computations (95.1% saved)

prune98.0ms (1.2%)

Memory

-31.4MiB live, 46.3MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	830	1	831
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	831	1	832

Accuracy

100.0%

Counts

832 → 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 #s(approx (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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 91 to 33 computations (63.7% saved)

simplify203.0ms (2.5%)

Memory

-0.3MiB live, 87.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1024	(.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	1280	(.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	1280	(.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	6592	(+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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)))))

Rules

7 710×	`lower-fma.f64`
7 710×	`lower-fma.f32`
6 008×	`lower-*.f32`
5 984×	`lower-*.f64`
2 964×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	555
0	70	547
1	128	341
2	333	276
3	1010	243
4	2309	243
5	3322	242
6	3601	241
7	3811	241
8	4038	241
9	4338	241
10	5094	241
11	5669	241
12	5671	241
13	5671	241
14	5671	241
15	7325	241
0	8164	238

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 #s(approx (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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)))))
#s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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 (/.f64 #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 #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 #s(approx (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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 (+.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x x)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #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 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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 (+.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x x)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) #s(approx (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x))))
(+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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)))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) #s(literal 3/4 binary64) #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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))))) (/.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 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) x) #s(literal 4 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 #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 (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) x) #s(literal 6 binary64))

localize82.0ms (1%)

Memory

31.1MiB live, 68.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.125	(.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	0.2858200195368841	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.167461154305416	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))

Samples

60.0ms

256×

valid

Compiler

Compiled 539 to 38 computations (92.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 26.0ms (56.2% of total)

ival-div: 10.0ms (21.6% of total)

ival-add: 4.0ms (8.7% of total)

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

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

ival-pi: 1.0ms (2.2% of total)

ival-fabs: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

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

series38.0ms (0.5%)

Memory

-7.2MiB live, 29.7MiB allocated

Counts

8 → 84

Calls

Call 1

Inputs
#s(alt (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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))))) (patch (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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))))) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())

Outputs
#s(alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (taylor 0 x) (#s(alt (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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))))) (patch (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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))))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (pow (fabs x) 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (fabs x) 3)) (taylor -inf x) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

-inf

((+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 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))) (/ 1/2 (* x x)) (sqrt (PI)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))

5.0ms

((+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 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))) (/ 1/2 (* x x)) (sqrt (PI)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))

4.0ms

inf

((+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 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))) (/ 1/2 (* x x)) (sqrt (PI)) (* (/ 1 (fabs x)) (/ 1 (fabs x))) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))

simplify38.0ms (0.5%)

Memory

-34.3MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Rules

292×	`lower-fma.f64`
292×	`lower-fma.f32`
144×	`lower-*.f64`
144×	`lower-*.f32`
104×	`lower-+.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	33	720
1	55	708
2	90	708
3	145	708
4	180	708
5	217	708
6	264	696
7	336	696
8	343	696
9	344	696
0	344	696

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 84

Calls

Call 1

Inputs
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1 (pow (fabs x) 5))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))
(/ 1 (pow (fabs x) 3))

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

rewrite168.0ms (2.1%)

Memory

24.4MiB live, 214.4MiB allocated

Rules

5 088×	`lower-*.f32`
5 070×	`lower-*.f64`
4 008×	`lower-/.f32`
4 002×	`lower-/.f64`
3 222×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	198
0	60	115
1	194	71
2	1483	61
0	8075	57

Stop Event

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

Counts

8 → 417

Calls

Call 1

Inputs
(+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 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 (/.f64 #s(literal 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 #s(literal 1/2 binary64) (*.f64 x 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
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eval142.0ms (1.8%)

Memory: 10.6MiB live, 325.8MiB allocated
Compiler: Compiled 60 627 to 3 562 computations (94.1% saved)

prune23.0ms (0.3%)

Memory

4.7MiB live, 83.6MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	743	1	744
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	744	1	745

Accuracy

100.0%

Counts

745 → 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 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (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 85 to 39 computations (54.1% saved)

simplify154.0ms (1.9%)

Memory

5.4MiB live, 125.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1024	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff	1280	(.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	1280	(.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	6592	(+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (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)))))

Rules

5 748×	`lower-fma.f64`
5 748×	`lower-fma.f32`
3 972×	`lower-*.f32`
3 946×	`lower-*.f64`
1 550×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	579
0	81	541
1	154	377
2	420	312
3	1435	270
4	2915	268
5	5582	267
0	8217	264

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

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

localize105.0ms (1.3%)

Memory

-0.2MiB live, 199.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2858200195368841	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.167461154305416	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	1.206387851124867	(/.f64 #s(literal -1 binary64) (*.f64 x x))

Samples

77.0ms

256×

valid

Compiler

Compiled 563 to 44 computations (92.2% saved)

Precisions

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

ival-mult: 20.0ms (34.2% of total)

ival-div: 15.0ms (25.7% of total)

ival-add: 14.0ms (24% of total)

ival-fabs: 4.0ms (6.8% of total)

ival-exp: 2.0ms (3.4% of total)

ival-sqrt: 2.0ms (3.4% of total)

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

exact: 1.0ms (1.7% of total)

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

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

series18.0ms (0.2%)

Memory

-7.4MiB live, 34.9MiB allocated

Counts

8 → 84

Calls

Call 1

Inputs
#s(alt (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (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))))) (patch (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (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))))) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())

Outputs
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Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

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

3.0ms

inf

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

3.0ms

-inf

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

simplify159.0ms (2%)

Memory

1.5MiB live, 167.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 526×	`lower-fma.f64`
10 526×	`lower-fma.f32`
5 832×	`lower-*.f64`
5 832×	`lower-*.f32`
1 586×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	775
1	80	763
2	202	713
3	507	672
4	1168	663
5	2848	654
6	3343	654
7	4086	642
8	5740	642
9	7276	642
0	8158	631

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(/ 3/4 (* (pow x 2) (pow (fabs x) 3)))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (pow (fabs x) 4))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))
(/ 1 (pow (fabs x) 2))

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

rewrite150.0ms (1.9%)

Memory

-5.7MiB live, 152.2MiB allocated

Rules

4 858×	`lower-*.f32`
4 838×	`lower-*.f64`
3 974×	`lower-/.f32`
3 962×	`lower-/.f64`
2 784×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	177
0	71	122
1	235	71
2	1902	61
0	8190	57

Stop Event

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

Counts

8 → 447

Calls

Call 1

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

Outputs
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eval115.0ms (1.4%)

Memory: -12.4MiB live, 141.5MiB allocated
Compiler: Compiled 41 692 to 3 007 computations (92.8% saved)

prune12.0ms (0.2%)

Memory

27.6MiB live, 27.6MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	528	3	531
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	529	3	532

Accuracy

100.0%

Counts

532 → 3

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

▶

50.4%

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

▶

17.6%

(*.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))

Compiler

Compiled 135 to 79 computations (41.5% saved)

simplify123.0ms (1.5%)

Memory

-10.5MiB live, 100.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	1024	(.f64 (.f64 (.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) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff	1024	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff	1280	(.f64 (.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) (fabs.f64 x)))
cost-diff	6592	(+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (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 #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) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
cost-diff	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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (.f64 x x))))
cost-diff	256	(*.f64 (fabs.f64 x) (fabs.f64 x))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
cost-diff	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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
cost-diff	256	(*.f64 (fabs.f64 x) (fabs.f64 x))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))

Rules

8 014×	`lower-fma.f32`
8 010×	`lower-fma.f64`
4 386×	`lower-*.f32`
4 358×	`lower-*.f64`
2 740×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	1094
0	138	1050
1	261	794
2	717	682
3	2667	614
4	5251	613
0	8610	606

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

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

localize186.0ms (2.3%)

Memory

13.5MiB live, 299.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.8215508678319977	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.167461154305416	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	1.206387851124867	(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	0.11269565475468918	(/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.1902210802643298	(/.f64 #s(literal 3/4 binary64) (*.f64 x x))
accuracy	29.73645684250708	(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (.f64 x x))
accuracy	0	(PI.f64)
accuracy	0.0390625	(/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	60.321755875066984	#s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))

Samples

111.0ms

256×

valid

Compiler

Compiled 1 037 to 70 computations (93.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 37.0ms (43.7% of total)

ival-div: 24.0ms (28.4% of total)

ival-add: 10.0ms (11.8% of total)

ival-pow: 5.0ms (5.9% of total)

ival-exp: 2.0ms (2.4% of total)

ival-sqrt: 2.0ms (2.4% of total)

ival-pi: 1.0ms (1.2% of total)

ival-fabs: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series45.0ms (0.6%)

Memory

-18.1MiB live, 60.2MiB allocated

Counts

19 → 192

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt (.f64 (fabs.f64 x) (fabs.f64 x)) (patch (.f64 (fabs.f64 x) (fabs.f64 x)) #<representation binary64>) () ())
#s(alt (.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (patch (.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (.f64 x x)))) (patch (.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (.f64 x x)))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (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 #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) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (patch (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (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 #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) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) #<representation binary64>) () ())
#s(alt (.f64 (.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) (fabs.f64 x))) (patch (.f64 (.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) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.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) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (patch (.f64 (.f64 (.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) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (patch #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (patch (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (.f64 x x)) (patch (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3/4 binary64) (.f64 x x)) (patch (/.f64 #s(literal 3/4 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (patch (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (patch (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) #<representation binary64>) () ())

Outputs
#s(alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (fabs x) 2) (taylor 0 x) (#s(alt (.f64 (fabs.f64 x) (fabs.f64 x)) (patch (.f64 (fabs.f64 x) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (fabs x) 2) (taylor 0 x) (#s(alt (.f64 (fabs.f64 x) (fabs.f64 x)) (patch (.f64 (fabs.f64 x) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (fabs x) 2) (taylor 0 x) (#s(alt (.f64 (fabs.f64 x) (fabs.f64 x)) (patch (.f64 (fabs.f64 x) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (fabs x) 2) (taylor 0 x) (#s(alt (.f64 (fabs.f64 x) (fabs.f64 x)) (patch (.f64 (fabs.f64 x) (fabs.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI))))) (taylor 0 x) (#s(alt (.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (patch (.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (pow (fabs x) 3)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (pow x 2)) (taylor 0 x) (#s(alt (.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (patch (.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

12.0ms

((* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (/ 1 (sqrt (PI))) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 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 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (sqrt (PI)) (/ 3/4 (pow (fabs x) 5)) (PI) (/ (+ (* (+ (* (/ 15/8 (pow (fabs x) 7)) (fabs x)) 1) (fabs x)) (/ (+ (/ 3/4 (* x x)) 1/2) (fabs x))) (* x x)) (/ 3/4 (* x x)) (/ 15/8 (pow (fabs x) 7)) (/ -1 (* x x)) (/ 1/2 (* x x)) (/ -1 (* (* (neg x) x) (* x x))))

8.0ms

-inf

((* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (/ 1 (sqrt (PI))) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 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 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (sqrt (PI)) (/ 3/4 (pow (fabs x) 5)) (PI) (/ (+ (* (+ (* (/ 15/8 (pow (fabs x) 7)) (fabs x)) 1) (fabs x)) (/ (+ (/ 3/4 (* x x)) 1/2) (fabs x))) (* x x)) (/ 3/4 (* x x)) (/ 15/8 (pow (fabs x) 7)) (/ -1 (* x x)) (/ 1/2 (* x x)) (/ -1 (* (* (neg x) x) (* x x))))

8.0ms

inf

((* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))) (/ 1 (sqrt (PI))) (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 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 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (sqrt (PI)) (/ 3/4 (pow (fabs x) 5)) (PI) (/ (+ (* (+ (* (/ 15/8 (pow (fabs x) 7)) (fabs x)) 1) (fabs x)) (/ (+ (/ 3/4 (* x x)) 1/2) (fabs x))) (* x x)) (/ 3/4 (* x x)) (/ 15/8 (pow (fabs x) 7)) (/ -1 (* x x)) (/ 1/2 (* x x)) (/ -1 (* (* (neg x) x) (* x x))))

simplify207.0ms (2.6%)

Memory

10.2MiB live, 224.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 906×	`lower-fma.f64`
14 906×	`lower-fma.f32`
6 502×	`lower-*.f64`
6 502×	`lower-*.f32`
2 822×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	3113
1	242	2975
2	801	2770
3	3127	2462
4	5480	2384
5	6127	2264
6	6523	2264
7	7863	2264
0	8554	2224

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI)))))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (pow (fabs x) 3)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (pow x 2))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (pow (fabs x) 3)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (pow x 2))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (pow (fabs x) 3)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (pow x 2))
(* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI)))))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (pow (fabs x) 3)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (pow x 2))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (pow (fabs x) 3)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (pow x 2))
(/ (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (pow (fabs x) 3)))) (* (* (pow x 2) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))) (sqrt (/ 1 (PI))))) (pow x 2))
(/ 15/8 (* (pow x 4) (pow (fabs x) 3)))
(/ (+ (* 3/4 (/ (pow x 2) (pow (fabs x) 3))) (* 15/8 (/ 1 (pow (fabs x) 3)))) (pow x 4))
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (* 3/4 (/ 1 (pow (fabs x) 3))))) (* 15/8 (/ 1 (pow (fabs x) 3)))) (pow x 4))
(/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))) (* 3/4 (/ 1 (pow (fabs x) 3))))) (* 15/8 (/ 1 (pow (fabs x) 3)))) (pow x 4))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(/ 3/4 (* (pow x 2) (pow (fabs x) 3)))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/ (+ (* (pow x 2) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 3/4 (/ 1 (pow (fabs x) 3)))) (pow x 2))
(/ 3/4 (pow (fabs x) 5))
(/ 3/4 (pow (fabs x) 5))
(/ 3/4 (pow (fabs x) 5))
(/ 3/4 (pow (fabs x) 5))
(/ 3/4 (* (pow x 4) (fabs x)))
(/ (+ (* (pow x 2) (+ (* (fabs x) (+ 1 (* 15/8 (/ 1 (pow (fabs x) 6))))) (* 1/2 (/ 1 (fabs x))))) (* 3/4 (/ 1 (fabs x)))) (pow x 4))
(/ (+ (* (pow x 2) (+ (* (fabs x) (+ 1 (* 15/8 (/ 1 (pow (fabs x) 6))))) (* 1/2 (/ 1 (fabs x))))) (* 3/4 (/ 1 (fabs x)))) (pow x 4))
(/ (+ (* (pow x 2) (+ (* (fabs x) (+ 1 (* 15/8 (/ 1 (pow (fabs x) 6))))) (* 1/2 (/ 1 (fabs x))))) (* 3/4 (/ 1 (fabs x)))) (pow x 4))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))
(+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))
(+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(+ (/ 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 2) (pow (fabs x) 3))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (/ 3/4 (* (pow x 2) (pow (fabs x) 3))) (+ (/ 1 (fabs x)) (/ 15/8 (* (pow x 4) (pow (fabs x) 3))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (/ 3/4 (* (pow x 2) (pow (fabs x) 3))) (+ (/ 1 (fabs x)) (/ 15/8 (* (pow x 4) (pow (fabs x) 3))))))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(/ 3/4 (pow (fabs x) 5))
(/ 3/4 (pow (fabs x) 5))
(/ 3/4 (pow (fabs x) 5))
(/ 3/4 (pow (fabs x) 5))
(/ (+ (* (fabs x) (+ 1 (* 15/8 (/ 1 (pow (fabs x) 6))))) (* 1/2 (/ 1 (fabs x)))) (pow x 2))
(/ (+ (* 1/2 (/ 1 (fabs x))) (+ (* (fabs x) (+ 1 (* 15/8 (/ 1 (pow (fabs x) 6))))) (* 3/4 (/ 1 (* (pow x 2) (fabs x)))))) (pow x 2))
(/ (+ (* 1/2 (/ 1 (fabs x))) (+ (* (fabs x) (+ 1 (* 15/8 (/ 1 (pow (fabs x) 6))))) (* 3/4 (/ 1 (* (pow x 2) (fabs x)))))) (pow x 2))
(/ (+ (* 1/2 (/ 1 (fabs x))) (+ (* (fabs x) (+ 1 (* 15/8 (/ 1 (pow (fabs x) 6))))) (* 3/4 (/ 1 (* (pow x 2) (fabs x)))))) (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(pow (fabs x) 2)
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))
(+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))))
(+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (pow (fabs x) 3))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (exp (pow (fabs x) 2)) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))))
(+ (/ 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 2) (pow (fabs x) 3))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (/ 3/4 (* (pow x 2) (pow (fabs x) 3))) (+ (/ 1 (fabs x)) (/ 15/8 (* (pow x 4) (pow (fabs x) 3))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (/ 3/4 (* (pow x 2) (pow (fabs x) 3))) (+ (/ 1 (fabs x)) (/ 15/8 (* (pow x 4) (pow (fabs x) 3))))))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 4) (pow (fabs x) 2)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 2) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(/ 1 (* (pow x 4) (pow (fabs x) 3)))
(+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 3/4 (/ 1 (* (pow x 2) (pow (fabs x) 3)))))))
(/ 3/4 (pow (fabs x) 5))
(/ 3/4 (pow (fabs x) 5))
(/ 3/4 (pow (fabs x) 5))
(/ 3/4 (pow (fabs x) 5))
(/ (+ (* (fabs x) (+ 1 (* 15/8 (/ 1 (pow (fabs x) 6))))) (* 1/2 (/ 1 (fabs x)))) (pow x 2))
(/ (+ (* 1/2 (/ 1 (fabs x))) (+ (* (fabs x) (+ 1 (* 15/8 (/ 1 (pow (fabs x) 6))))) (* 3/4 (/ 1 (* (pow x 2) (fabs x)))))) (pow x 2))
(/ (+ (* 1/2 (/ 1 (fabs x))) (+ (* (fabs x) (+ 1 (* 15/8 (/ 1 (pow (fabs x) 6))))) (* 3/4 (/ 1 (* (pow x 2) (fabs x)))))) (pow x 2))
(/ (+ (* 1/2 (/ 1 (fabs x))) (+ (* (fabs x) (+ 1 (* 15/8 (/ 1 (pow (fabs x) 6))))) (* 3/4 (/ 1 (* (pow x 2) (fabs x)))))) (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 3/4 (pow x 2))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ 15/8 (pow (fabs x) 7))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))

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

rewrite425.0ms (5.3%)

Memory

7.9MiB live, 270.8MiB allocated

Rules

3 988×	`lower-/.f32`
3 962×	`lower-/.f64`
3 698×	`lower-*.f32`
3 672×	`lower-*.f64`
3 458×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	534
0	136	410
1	477	282
2	3784	244
0	9218	231

Stop Event

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

Counts

19 → 757

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

Outputs
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eval187.0ms (2.3%)

Memory: 26.8MiB live, 286.2MiB allocated
Compiler: Compiled 69 854 to 4 621 computations (93.4% saved)

prune40.0ms (0.5%)

Memory

-36.5MiB live, 85.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	1 297	6	1 303
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	1 300	6	1 306

Accuracy

100.0%

Counts

1 306 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.0%	(.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))
	34.1%	(.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fma.f64 x x #s(literal 1/2 binary64)))))
	50.4%	(.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (fabs.f64 x) #s(literal -7 binary64)) #s(literal 15/8 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x))))
	17.6%	(.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64))))
	50.1%	(.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (/ (+ (* (+ (* (/ 15/8 (pow (fabs x) 7)) (fabs x)) 1) (fabs x)) (/ (+ (/ 3/4 (* x x)) 1/2) (fabs x))) (* x x)) (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x))) (*.f64 x x)))))
	100.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 x x))) (+.f64 (+.f64 #s(approx (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs 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 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (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 #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) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Compiler

Compiled 830 to 241 computations (71% saved)

regimes13.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

4.0ms

(fabs.f64 x)

4.0ms

3.0ms

(*.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	`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	`(fabs.f64 x)`

Compiler

Compiled 106 to 34 computations (67.9% saved)

regimes9.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

7 → 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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64))))
(.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.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)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fma.f64 x x #s(literal 1/2 binary64)))))
(.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) #s(approx (/ (+ (* (+ (* (/ 15/8 (pow (fabs x) 7)) (fabs x)) 1) (fabs x)) (/ (+ (/ 3/4 (* x x)) 1/2) (fabs x))) (* x x)) (/.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x))) (*.f64 x x)))))
(.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (fabs.f64 x) #s(literal -7 binary64)) #s(literal 15/8 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x))))
(.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (.f64 x 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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (fabs.f64 x) #s(literal -7 binary64)) #s(literal 15/8 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (fabs.f64 x))) (*.f64 x x))))

Calls

3 calls:

3.0ms

(fabs.f64 x)

3.0ms

2.0ms

(*.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
50.4%	1	`x`
50.4%	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))))))
50.4%	1	`(fabs.f64 x)`

Compiler

Compiled 106 to 34 computations (67.9% saved)

regimes21.0ms (0.3%)

Memory

-28.6MiB live, 9.7MiB allocated

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

Calls

3 calls:

15.0ms

2.0ms

(fabs.f64 x)

2.0ms

(*.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
50.1%	1	`x`
50.1%	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))))))
50.1%	1	`(fabs.f64 x)`

Compiler

Compiled 106 to 34 computations (67.9% saved)

regimes7.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

4 → 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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64))))
(.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.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)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) ( (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fma.f64 x x #s(literal 1/2 binary64)))))

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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fma.f64 x x #s(literal 1/2 binary64)))))

Calls

3 calls:

2.0ms

(fabs.f64 x)

2.0ms

(*.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
34.1%	1	`x`
34.1%	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))))))
34.1%	1	`(fabs.f64 x)`

Compiler

Compiled 106 to 34 computations (67.9% saved)

regimes6.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Accuracy

Total -3.0b remaining (-5.7%)

Threshold costs -3b (-5.7%)

Counts

3 → 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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64))))

(*.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))

(*.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 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (/ -1 (* (* (neg x) x) (* x x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #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)))) #s(approx (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (/ -1 (* x x)) (/ (/ -1 (fabs x)) (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (*.f64 (pow.f64 (fabs.f64 x) #s(literal -5 binary64)) #s(literal 3/4 binary64))))

Calls

3 calls:

2.0ms

(*.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))))))

2.0ms

(fabs.f64 x)

Results

Accuracy	Segments	Branch
17.6%	1	`x`
17.6%	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))))))
17.6%	1	`(fabs.f64 x)`

Compiler

Compiled 106 to 34 computations (67.9% saved)

simplify59.0ms (0.7%)

Memory

5.9MiB live, 47.1MiB allocated

Algorithm

1×	egg-herbie

Rules

96×	`-commutative-binary64-.f64`
60×	`neg-sub0-binary64--.f64-neg.f64`
60×	`neg-mul-1-binary64-*.f64-neg.f64`
56×	`+-commutative-binary64-+.f64`
46×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	119	546
1	150	546
2	156	546
3	163	546
4	174	546
5	194	546
6	218	546
7	242	545
8	261	545
9	273	545
10	287	545
11	309	545
12	332	545
13	346	545
14	356	545
15	363	545
16	368	545
17	370	545

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0s (12.8%)

Memory

-0.8MiB live, 671.5MiB allocated

Rules

14 906×	`lower-fma.f64`
14 906×	`lower-fma.f32`
10 526×	`lower-fma.f64`
10 526×	`lower-fma.f32`
6 502×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	177
0	71	122
1	235	71
2	1902	61
0	8190	57
0	100	3113
1	242	2975
2	801	2770
3	3127	2462
4	5480	2384
5	6127	2264
6	6523	2264
7	7863	2264
0	8554	2224
0	41	775
1	80	763
2	202	713
3	507	672
4	1168	663
5	2848	654
6	3343	654
7	4086	642
8	5740	642
9	7276	642
0	8158	631
0	81	534
0	136	410
1	477	282
2	3784	244
0	9218	231
0	25	636
1	40	624
2	58	624
3	81	624
4	106	624
5	142	624
6	189	600
7	261	600
8	268	600
9	269	600
0	269	600
0	36	198
0	60	115
1	194	71
2	1483	61
0	8075	57

Stop Event

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

Compiler

Compiled 1 044 to 417 computations (60.1% saved)

preprocess54.0ms (0.7%)

Memory: 14.6MiB live, 91.0MiB allocated
Remove: (abs x)
Compiler: Compiled 1 458 to 638 computations (56.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	25	636
1	40	624
2	58	624
3	81	624
4	106	624
5	142	624
6	189	600
7	261	600
8	268	600
9	269	600
0	269	600

Iter	Nodes	Cost
0	33	720
1	55	708
2	90	708
3	145	708
4	180	708
5	217	708
6	264	696
7	336	696
8	343	696
9	344	696
0	344	696

Iter	Nodes	Cost
0	119	546
1	150	546
2	156	546
3	163	546
4	174	546
5	194	546
6	218	546
7	242	545
8	261	545
9	273	545
10	287	545
11	309	545
12	332	545
13	346	545
14	356	545
15	363	545
16	368	545
17	370	545

Iter	Nodes	Cost
0	25	636
1	40	624
2	58	624
3	81	624
4	106	624
5	142	624
6	189	600
7	261	600
8	268	600
9	269	600
0	269	600

Iter	Nodes	Cost
0	33	720
1	55	708
2	90	708
3	145	708
4	180	708
5	217	708
6	264	696
7	336	696
8	343	696
9	344	696
0	344	696

Iter	Nodes	Cost
0	119	546
1	150	546
2	156	546
3	163	546
4	174	546
5	194	546
6	218	546
7	242	545
8	261	545
9	273	545
10	287	545
11	309	545
12	332	545
13	346	545
14	356	545
15	363	545
16	368	545
17	370	545

start4.0ms (0.1%)

analyze0.0ms (0%)

sample2.1s (25.7%)

explain960.0ms (12%)

preprocess285.0ms (3.6%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify188.0ms (2.4%)

localize100.0ms (1.3%)

series22.0ms (0.3%)

simplify14.0ms (0.2%)

rewrite208.0ms (2.6%)

eval248.0ms (3.1%)

prune98.0ms (1.2%)

simplify203.0ms (2.5%)

localize82.0ms (1%)

series38.0ms (0.5%)

simplify38.0ms (0.5%)

rewrite168.0ms (2.1%)

eval142.0ms (1.8%)

prune23.0ms (0.3%)

simplify154.0ms (1.9%)

localize105.0ms (1.3%)

series18.0ms (0.2%)

simplify159.0ms (2%)

rewrite150.0ms (1.9%)

eval115.0ms (1.4%)

prune12.0ms (0.2%)

simplify123.0ms (1.5%)

localize186.0ms (2.3%)

series45.0ms (0.6%)

simplify207.0ms (2.6%)

rewrite425.0ms (5.3%)

eval187.0ms (2.3%)

prune40.0ms (0.5%)

regimes13.0ms (0.2%)

regimes9.0ms (0.1%)

regimes21.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

simplify59.0ms (0.7%)

soundness1.0s (12.8%)

preprocess54.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	25	636
1	40	624
2	58	624
3	81	624
4	106	624
5	142	624
6	189	600
7	261	600
8	268	600
9	269	600
0	269	600

Iter	Nodes	Cost
0	33	720
1	55	708
2	90	708
3	145	708
4	180	708
5	217	708
6	264	696
7	336	696
8	343	696
9	344	696
0	344	696

Iter	Nodes	Cost
0	119	546
1	150	546
2	156	546
3	163	546
4	174	546
5	194	546
6	218	546
7	242	545
8	261	545
9	273	545
10	287	545
11	309	545
12	332	545
13	346	545
14	356	545
15	363	545
16	368	545
17	370	545