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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample2.4s (19.6%)

Memory

96.1MiB live, 2 547.6MiB allocated

Samples

1.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 782.0ms (53.4% of total)

ival-div: 294.0ms (20.1% of total)

ival-add: 115.0ms (7.8% of total)

ival-exp: 76.0ms (5.2% of total)

ival-sqrt: 63.0ms (4.3% of total)

ival-pi: 39.0ms (2.7% of total)

ival-fabs: 39.0ms (2.7% of total)

ival->=: 27.0ms (1.8% of total)

exact: 26.0ms (1.8% of total)

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

Bogosity

explain674.0ms (5.5%)

Memory

-75.1MiB live, 758.4MiB 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

151.0ms

512×

valid

Compiler

Compiled 1 174 to 97 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-mult: 59.0ms (47% of total)

ival-fabs: 33.0ms (26.3% of total)

ival-div: 15.0ms (12% of total)

ival-add: 6.0ms (4.8% of total)

ival-pi: 4.0ms (3.2% of total)

ival-exp: 4.0ms (3.2% of total)

ival-sqrt: 4.0ms (3.2% of total)

ival-true: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

preprocess381.0ms (3.1%)

Memory

-16.5MiB live, 227.8MiB 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 (/.f64 (exp.f64 (*.f64 x x)) (*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Symmetry

(abs x)

Compiler

Compiled 104 to 31 computations (70.2% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

Compiler

Compiled 104 to 31 computations (70.2% saved)

simplify275.0ms (2.3%)

Memory

27.2MiB live, 294.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	960	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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	960	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff	1088	(+.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	1344	(+.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)))))

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

localize104.0ms (0.8%)

Memory

-16.0MiB live, 147.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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	0.08984375	(.f64 (.f64 (/.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	0.250663769536884	(*.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

64.0ms

256×

valid

Compiler

Compiled 535 to 33 computations (93.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 16.0ms (48% of total)

ival-div: 7.0ms (21% of total)

ival-add: 3.0ms (9% of total)

ival-exp: 2.0ms (6% of total)

ival-sqrt: 2.0ms (6% of total)

ival-pi: 1.0ms (3% of total)

ival-fabs: 1.0ms (3% of total)

exact: 1.0ms (3% of total)

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

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

series56.0ms (0.5%)

Memory

1.7MiB live, 43.7MiB allocated

Counts

6 → 60

Calls

Call 1

Inputs
#s(alt (+.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))))) (patch (+.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))))) #<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 #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 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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 (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<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))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (taylor 0 x) (#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#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 (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#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 (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#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 inf x) (#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
#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 inf x) (#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ())) ())
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#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) 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) 3)) (taylor 0 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 0 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 0 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 0 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>) () ())) ())
#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>) () ())) ())
#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

15 calls:

Time	Variable		Point	Expression
37.0ms	x	@	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)))))
5.0ms	x	@	0	(+ (+ (+ (/ 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)))))
4.0ms	x	@	-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)))))
1.0ms	x	@	inf	(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
1.0ms	x	@	-inf	(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))

simplify19.0ms (0.2%)

Memory

-13.8MiB live, 22.5MiB 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	29	732
1	53	720
2	91	720
3	143	720
4	170	720
5	203	720
6	250	696
7	322	696
8	329	696
9	330	696
0	330	696

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

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

rewrite314.0ms (2.6%)

Memory

29.4MiB live, 529.1MiB allocated

Rules

8 278×	`lower-fma.f64`
8 278×	`lower-fma.f32`
4 196×	`lower-*.f32`
4 178×	`lower-*.f64`
3 642×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	177
0	48	100
1	156	68
2	1239	57
0	8480	54

Stop Event

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

Counts

6 → 503

Calls

Call 1

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

eval182.0ms (1.5%)

Memory: -6.6MiB live, 347.6MiB allocated
Compiler: Compiled 94 492 to 3 829 computations (95.9% saved)

prune101.0ms (0.8%)

Memory

28.3MiB live, 225.3MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	858	1	859
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	859	1	860

Accuracy

100.0%

Counts

860 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 53 to 24 computations (54.7% saved)

simplify364.0ms (3%)

Memory

-9.4MiB live, 419.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	576	(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (*.f64 x x)))))))
cost-diff	704	(.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 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))))))

Rules

22 928×	`lower-fma.f64`
22 928×	`lower-fma.f32`
4 742×	`lower-*.f32`
4 728×	`lower-*.f64`
2 956×	`lower-+.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	241
0	43	233
1	84	197
2	238	175
3	840	155
4	2514	145
5	2649	143
6	2803	143
7	3363	143
8	4001	143
9	4121	143
10	7045	143
11	7705	143
12	7962	143
13	7992	143
14	7992	143
0	8791	143

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

localize73.0ms (0.6%)

Memory

-5.9MiB live, 110.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12149911887102213	(/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))))
accuracy	0.3618345694484947	(/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))
accuracy	0.4819694872888439	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	1.0	(sqrt.f64 (PI.f64))

Samples

45.0ms

256×

valid

Compiler

Compiled 243 to 26 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 12.0ms (36% of total)

ival-mult: 10.0ms (30% of total)

ival-add: 3.0ms (9% of total)

ival-fabs: 3.0ms (9% of total)

ival-exp: 2.0ms (6% of total)

ival-sqrt: 2.0ms (6% of total)

ival-pi: 1.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

8 → 84

Calls

Call 1

Inputs
#s(alt (.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 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x 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)))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))))))) #<representation binary64>) () ())
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Outputs
#s(alt (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (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)))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x 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)))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (taylor inf x) (#s(alt (.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 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x 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)))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))))))) #<representation binary64>) () ())) ())
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#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 3/4 (* (pow x 4) (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (patch (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 15/8 (* (pow x 6) (fabs x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) (patch (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ 15/8 (* (pow x 6) (fabs x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) (patch (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ 15/8 (* (pow x 6) (fabs x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) (patch (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ 15/8 (* (pow x 6) (fabs x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) (patch (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ 15/8 (* (pow x 6) (fabs x))) (taylor inf x) (#s(alt (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) (patch (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ 15/8 (* (pow x 6) (fabs x))) (taylor inf x) (#s(alt (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) (patch (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ 15/8 (* (pow x 6) (fabs x))) (taylor inf x) (#s(alt (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) (patch (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ 15/8 (* (pow x 6) (fabs x))) (taylor inf x) (#s(alt (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) (patch (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ 15/8 (* (pow x 6) (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) (patch (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ 15/8 (* (pow x 6) (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) (patch (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ 15/8 (* (pow x 6) (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) (patch (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (/ 15/8 (* (pow x 6) (fabs x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) (patch (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) #<representation binary64>) () ())) ())

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x))))))))
1.0ms	x	@	0	(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x))))))))
1.0ms	x	@	0	(/ 3/4 (* (fabs x) (* (* x x) (* x x))))
1.0ms	x	@	-inf	(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x))))))))
1.0ms	x	@	0	(/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))

simplify397.0ms (3.2%)

Memory

24.3MiB live, 437.6MiB allocated

Algorithm

1×	egg-herbie

Rules

24 884×	`lower-fma.f64`
24 884×	`lower-fma.f32`
6 202×	`lower-*.f64`
6 202×	`lower-*.f32`
2 756×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1182
1	249	1088
2	763	984
3	2199	886
4	4389	862
5	6044	827
6	7083	827
7	7200	827
8	7884	827
0	8135	814

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite590.0ms (4.8%)

Memory

-82.2MiB live, 470.0MiB allocated

Rules

5 744×	`lower-fma.f64`
5 744×	`lower-fma.f32`
4 456×	`lower-*.f32`
4 454×	`lower-/.f32`
4 444×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	143
0	43	125
1	186	103
2	2000	85
0	8555	81

Stop Event

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

Counts

8 → 439

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

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

eval76.0ms (0.6%)

Memory: -1.6MiB live, 150.8MiB allocated
Compiler: Compiled 37 132 to 1 810 computations (95.1% saved)

prune64.0ms (0.5%)

Memory

22.7MiB live, 144.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	517	6	523
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	518	6	524

Accuracy

100.0%

Counts

524 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (/ (+ (/ 1/2 ( x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x))))))) (/.f64 (fma.f64 (fabs.f64 x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
▶	13.8%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
▶	11.8%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
▶	11.8%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
▶	99.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))))
▶	99.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))

Compiler

Compiled 354 to 204 computations (42.4% saved)

simplify391.0ms (3.2%)

Memory

-9.5MiB live, 501.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
cost-diff	0	(.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
cost-diff	0	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
cost-diff	384	(/.f64 (.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
cost-diff	0	(exp.f64 (*.f64 x x))
cost-diff	0	(.f64 (exp.f64 (.f64 x x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64))))
cost-diff	0	(/.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
cost-diff	0	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
cost-diff	0	(exp.f64 (*.f64 x x))
cost-diff	0	(.f64 (exp.f64 (.f64 x x)) (*.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
cost-diff	0	(/.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
cost-diff	0	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(exp.f64 (*.f64 x x))
cost-diff	0	(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
cost-diff	0	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (PI.f64))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x))))
cost-diff	0	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))))

Rules

21 000×	`lower-fma.f32`
20 994×	`lower-fma.f64`
7 160×	`lower-+.f32`
7 158×	`lower-+.f64`
6 740×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	871
0	96	785
1	219	685
2	805	685
3	3723	649
4	5023	649
5	5641	649
6	5973	649
7	5985	649
8	5987	649
9	6367	649
0	9815	649

Stop Event

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

Calls

Call 1

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

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

localize272.0ms (2.2%)

Memory

-2.5MiB live, 273.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 x (.f64 x x))
accuracy	0.10546875	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))
accuracy	0.18904590109288802	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
accuracy	43.82812500000001	(/.f64 (.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
accuracy	0.109375	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
accuracy	0.11328125	(fma.f64 x (*.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64))
accuracy	0.19289494307538857	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
accuracy	44.82812500000001	(/.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
accuracy	0.0703125	(.f64 x (.f64 x (*.f64 x x)))
accuracy	0.08203125	(.f64 x (.f64 x x))
accuracy	0.19795568330637547	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
accuracy	44.82421875000001	(/.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
accuracy	0	(exp.f64 (*.f64 x x))
accuracy	0	(PI.f64)
accuracy	0.0546875	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
accuracy	0.21127137128122972	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
accuracy	0	(exp.f64 (*.f64 x x))
accuracy	0	(PI.f64)
accuracy	0.20978020169907216	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))))
accuracy	0.4819694872888439	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))

Samples

96.0ms

256×

valid

Compiler

Compiled 754 to 55 computations (92.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 35.0ms (49.9% of total)

ival-div: 17.0ms (24.2% of total)

ival-add: 7.0ms (10% of total)

ival-sqrt: 4.0ms (5.7% of total)

ival-exp: 3.0ms (4.3% of total)

ival-pi: 1.0ms (1.4% of total)

ival-fabs: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series44.0ms (0.4%)

Memory

15.5MiB live, 51.5MiB allocated

Counts

25 → 264

Calls

Call 1

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

Calls

66 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(/ (* (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (+ (* (* x x) (+ (* x (* x 1/2)) 3/4)) 15/8)) (* (* x x) (* x (* x (* x x)))))
1.0ms	x	@	inf	(/ (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (* (fabs x) (* (* x x) (* x (* x (* x x))))))
1.0ms	x	@	0	(* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x))))
1.0ms	x	@	inf	(/ (* (exp (* x x)) (* 15/8 (sqrt (/ 1 (PI))))) (* (fabs x) (* (* x x) (* x (* x (* x x))))))
1.0ms	x	@	inf	(* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x))))

simplify379.0ms (3.1%)

Memory

-11.7MiB live, 410.9MiB allocated

Algorithm

1×	egg-herbie

Rules

19 980×	`lower-fma.f64`
19 980×	`lower-fma.f32`
5 680×	`lower-*.f64`
5 680×	`lower-*.f32`
5 358×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	6163
1	794	5519
2	2833	4758
3	5558	4249
0	8721	4123

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/ (+ (* 3/4 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))))))) (pow x 6))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))))
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(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))) (pow x 6))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))))))) (pow x 6))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))
(* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))
(+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))))
(+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))
(+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 19/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))
(* 1/2 (* (/ (* (pow x 4) (exp (pow x 2))) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))) (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))))))
(* 1/2 (* (/ (* (pow x 4) (exp (pow x 2))) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))) (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))))))
(* (pow x 4) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))))))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
15/8
(+ 15/8 (* 3/4 (pow x 2)))
(+ 15/8 (* 3/4 (pow x 2)))
(+ 15/8 (* 3/4 (pow x 2)))
(* 3/4 (pow x 2))
(* (pow x 2) (+ 3/4 (* 15/8 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3/4 (* 15/8 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3/4 (* 15/8 (/ 1 (pow x 2)))))
(* 3/4 (pow x 2))
(* (pow x 2) (+ 3/4 (* 15/8 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3/4 (* 15/8 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3/4 (* 15/8 (/ 1 (pow x 2)))))
(* 15/8 (sqrt (/ 1 (PI))))
(+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI)))))
(+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI)))))
(+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI)))))
(* 3/4 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* 15/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* 15/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* 15/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* 3/4 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* 15/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* 15/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* 15/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
15/8
(+ 15/8 (* 3/4 (pow x 2)))
(+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2)))))
(+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* 3/4 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* 3/4 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))))

Outputs
(* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (.f64 #s(literal 15/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x)))) (.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))))
(/ (+ (* 3/4 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))) (pow x 6))
(/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))) (pow x 6))
(/.f64 (fma.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (.f64 (exp.f64 (.f64 x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))))))) (pow x 6))
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(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (fabs.f64 x))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (.f64 x x)) (.f64 x (.f64 x (fabs.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3/4 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (fabs.f64 x))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (.f64 x x)) (.f64 x (.f64 x (fabs.f64 x)))) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3/4 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))))
(* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x (fabs.f64 x)))))
(/ (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 3/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 2))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x))
(/ (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 5/4 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 3/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 2))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 5/4 binary64)) (.f64 (fabs.f64 x) #s(literal 3/2 binary64))))) (*.f64 x x))
(/ (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 3/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 7/12 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 5/4 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))))) (pow x 2))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 #s(literal 7/12 binary64) (.f64 x x) #s(literal 5/4 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))))) (.f64 x x))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (fabs.f64 x))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (fabs.f64 x))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (fabs.f64 x)))
(* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (.f64 #s(literal 15/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x)))) (.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))))
(/ (+ (* 3/4 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))) (pow x 6))
(/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))) (pow x 6))
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(* (pow x 2) (+ 3/4 (* 15/8 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64))
(* (pow x 2) (+ 3/4 (* 15/8 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64))
(* (pow x 2) (+ 3/4 (* 15/8 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64))
(* 15/8 (sqrt (/ 1 (PI))))
(*.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
(+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
(+ (* 3/4 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 15/8 (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
(* 3/4 (* (pow x 2) (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 3/4 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* 15/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
(* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* 15/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
(* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* 15/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
(* 3/4 (* (pow x 2) (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 3/4 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* 15/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
(* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* 15/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
(* (pow x 2) (+ (* 3/4 (sqrt (/ 1 (PI)))) (* 15/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
15/8
#s(literal 15/8 binary64)
(+ 15/8 (* 3/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64))
(+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 15/8 binary64))
(+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 15/8 binary64))
(* 1/2 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 4) (+ 1/2 (* 3/4 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* 1/2 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 4) (+ 1/2 (* 3/4 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 x x))))))

rewrite295.0ms (2.4%)

Memory

14.7MiB live, 321.1MiB allocated

Rules

4 682×	`lower-*.f32`
4 652×	`lower-*.f64`
3 344×	`lower-/.f32`
3 330×	`lower-/.f64`
2 688×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	633
0	96	575
1	410	469
2	4034	432
0	8434	425

Stop Event

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

Counts

25 → 699

Calls

Call 1

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

Outputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (exp.f64 (.f64 x x))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(/.f64 (exp.f64 (.f64 x x)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(/.f64 (exp.f64 (.f64 x x)) (.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) (.f64 (fabs.f64 x) (exp.f64 (*.f64 x (neg.f64 x)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (exp.f64 (.f64 x x))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (exp.f64 (.f64 x x))) (fabs.f64 (.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (.f64 (exp.f64 (.f64 x x)) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (.f64 (sqrt.f64 (PI.f64)) (neg.f64 (fabs.f64 x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (exp.f64 (.f64 x x)))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (exp.f64 (.f64 x x)))) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (exp.f64 (.f64 x x))) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (exp.f64 (.f64 x x))) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (exp.f64 (.f64 x x))) (.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (fabs.f64 x)) (exp.f64 (*.f64 x x))) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (fabs.f64 x))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x x))) (fabs.f64 x))
(/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (neg.f64 (fabs.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (exp.f64 (.f64 x x)))) (fabs.f64 x))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) (.f64 (fabs.f64 x) (exp.f64 (.f64 x (neg.f64 x)))))
(/.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (exp.f64 (*.f64 x x)))) (neg.f64 (fabs.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (exp.f64 (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (fabs.f64 x))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) (fabs.f64 x))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) (neg.f64 (fabs.f64 x)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (exp.f64 (.f64 x x))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (fabs.f64 x)) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64)))))
(.f64 (exp.f64 (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (fabs.f64 x))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)))
(.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (fabs.f64 x)) (exp.f64 (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
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(.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) (exp.f64 (.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (PI.f64))) (/.f64 (.f64 x (.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 #s(literal 15/8 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 15/8 binary64) (sqrt.f64 (PI.f64))))) (/.f64 (fma.f64 x (*.f64 x #s(literal 3/4 binary64)) #s(literal -15/8 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64 binary64)) #s(literal 3375/512 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/16 binary64) (-.f64 #s(literal 225/64 binary64) (.f64 (*.f64 x x) #s(literal 45/32 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/16 binary64) #s(literal -225/64 binary64))) (fma.f64 x (*.f64 x #s(literal 3/4 binary64)) #s(literal -15/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/64 binary64)) #s(literal 3375/512 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/16 binary64) (-.f64 #s(literal 225/64 binary64) (.f64 (*.f64 x x) #s(literal 45/32 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/16 binary64) #s(literal -225/64 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (fma.f64 x (*.f64 x #s(literal 3/4 binary64)) #s(literal -15/8 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)))
(.f64 (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (fma.f64 #s(literal 3/4 binary64) (*.f64 x x) #s(literal 15/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(+.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 3/4 binary64))))
(+.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 3/4 binary64))) #s(literal 15/8 binary64))
(+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (fma.f64 #s(literal 3/4 binary64) (*.f64 x x) #s(literal 15/8 binary64)))
(+.f64 (+.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 x (.f64 x #s(literal 3/4 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64))))) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal -15/8 binary64))) (/.f64 #s(literal 225/64 binary64) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 3/4 binary64)) #s(literal -15/8 binary64))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64))) #s(literal 15/8 binary64))
(fma.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x x)) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64))) #s(literal 15/8 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2 binary64) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 x x) #s(literal 15/8 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x x) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)))
(fma.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64))) x #s(literal 15/8 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) x (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 15/8 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fabs.f64 x)) (fabs.f64 x) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2 binary64))) x (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)))) #s(literal 225/64 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64))))) #s(literal 3375/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal -15/8 binary64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)))) #s(literal -225/64 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64))))) #s(literal 3375/512 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)))) #s(literal 225/64 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64))))) #s(literal 3375/512 binary64)) (+.f64 #s(literal 225/64 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64))))) (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)))) #s(literal -225/64 binary64)) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal -15/8 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64))))) #s(literal 3375/512 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)))) #s(literal 225/64 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)))) #s(literal -225/64 binary64))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal -15/8 binary64))))
(/.f64 (-.f64 #s(literal 225/64 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)))))) (-.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)))) #s(literal 225/64 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64))))) #s(literal 3375/512 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal -15/8 binary64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)))) #s(literal -225/64 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64))))) #s(literal 3375/512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)))) #s(literal 225/64 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)))) #s(literal -225/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 3/4 binary64)) #s(literal -15/8 binary64))))

eval299.0ms (2.4%)

Memory: -3.2MiB live, 428.8MiB allocated
Compiler: Compiled 71 185 to 4 700 computations (93.4% saved)

prune468.0ms (3.8%)

Memory

0.8MiB live, 895.5MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	2 216	21	2 237
Fresh	0	1	1
Picked	5	0	5
Done	0	0	0
Total	2 221	22	2 243

Accuracy

100.0%

Counts

2 243 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (/ (+ (/ 1/2 ( x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x))))))) (/.f64 (fma.f64 (fabs.f64 x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
	11.8%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
	5.1%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
	2.4%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
	5.1%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
▶	2.4%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
	1.2%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
▶	99.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
	0.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (+ (* (* x x) (+ (* x (* x 1/2)) 3/4)) 15/8)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal 21/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 35/16 binary64))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
	0.6%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 27/16 binary64) #s(literal 21/8 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
	0.9%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) #s(literal 21/8 binary64) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
	1.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
	13.8%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
▶	86.6%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x)))))
	86.6%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
	79.1%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
	55.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
▶	2.1%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x))))
	84.1%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
▶	2.2%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
	72.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))))
	5.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Compiler

Compiled 1 392 to 738 computations (47% saved)

simplify298.0ms (2.4%)

Memory

3.8MiB live, 264.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
cost-diff	0	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
cost-diff	128	(fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))
cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (PI.f64))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x))))
cost-diff	0	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x)))))
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))))
cost-diff	0	(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x))
cost-diff	0	#s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x)))
cost-diff	0	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
cost-diff	0	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
cost-diff	0	#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
cost-diff	0	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(exp.f64 (*.f64 x x))
cost-diff	0	(/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))
cost-diff	0	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))

Rules

14 964×	`lower-fma.f32`
14 950×	`lower-fma.f64`
4 092×	`lower-+.f32`
4 088×	`lower-+.f64`
3 898×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	1030
0	136	977
1	289	906
2	773	906
3	2469	886
4	5575	886
5	6473	876
6	7978	876
0	8200	862

Stop Event

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

Calls

Call 1

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

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

localize305.0ms (2.5%)

Memory

-39.7MiB live, 360.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))
accuracy	0.18904590109288802	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
accuracy	17.44118142939124	#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x)))))
accuracy	43.82812500000001	(/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
accuracy	0.15234375	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.20978020169907216	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x)))))
accuracy	0.4819694872888439	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy	8.451534637299755	#s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
accuracy	0.20978020169907216	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x))))
accuracy	0.265625	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))))
accuracy	32.17827376597567	(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x))
accuracy	62.546028818883755	#s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x)))
accuracy	0	(PI.f64)
accuracy	0.0546875	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
accuracy	0.21127137128122972	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
accuracy	62.55087837550088	#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
accuracy	0	(PI.f64)
accuracy	0.21127137128122972	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
accuracy	0.296875	(*.f64 x (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))

Samples

96.0ms	216×	0	valid
32.0ms	10×	2	valid
22.0ms	18×	3	valid
9.0ms	12×	1	valid

Compiler

Compiled 728 to 68 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult: 66.0ms (51.8% of total)

ival-div: 21.0ms (16.5% of total)

ival-add: 15.0ms (11.8% of total)

adjust: 9.0ms (7.1% of total)

ival-exp: 4.0ms (3.1% of total)

ival-sqrt: 4.0ms (3.1% of total)

const: 4.0ms (3.1% of total)

ival-fabs: 2.0ms (1.6% of total)

ival-pi: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series31.0ms (0.3%)

Memory

-3.4MiB live, 33.7MiB allocated

Counts

27 → 276

Calls

Call 1

Inputs
#s(alt #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (patch #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))) (patch (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 x x)) (patch (exp.f64 (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) (patch #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (patch #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x)))) (patch #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x))) (patch #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x)) (patch (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (patch (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x))))) (patch #s(approx ( (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x))))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x)))) (patch (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (PI.f64)) (patch (/.f64 #s(literal 1 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))) (patch (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x)) (patch (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (patch #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (patch (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (.f64 x (sqrt.f64 (PI.f64))) (patch (.f64 x (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<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 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (patch #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) #<representation binary64>) () ())

Outputs
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#s(alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))) (taylor 0 x) (#s(alt #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (patch #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))))) (taylor 0 x) (#s(alt #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (patch #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor inf x) (#s(alt #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (patch #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor inf x) (#s(alt #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (patch #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor inf x) (#s(alt #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (patch #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor inf x) (#s(alt #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (patch #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor -inf x) (#s(alt #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (patch #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor -inf x) (#s(alt #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (patch #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor -inf x) (#s(alt #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (patch #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x))) (taylor -inf x) (#s(alt #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (patch #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) #<representation binary64>) () ())) ())
#s(alt 15/8 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 15/8 (* 3/4 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (* 3/4 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (* 3/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) #<representation binary64>) () ())) ())

Calls

69 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (* (sqrt (/ 1 (PI))) (+ (* (fabs x) 3/2) (/ 1/2 (fabs x)))) (* x x))
1.0ms	x	@	-inf	(/ (* (sqrt (/ 1 (PI))) (+ (* (fabs x) 3/2) (/ 1/2 (fabs x)))) (* x x))
1.0ms	x	@	inf	(/ (* (sqrt (/ 1 (PI))) (+ (* (fabs x) 3/2) (/ 1/2 (fabs x)))) (* x x))
1.0ms	x	@	0	(+ (/ 1 (fabs x)) (+ (* (* x x) (* (fabs x) 1/2)) (fabs x)))
1.0ms	x	@	-inf	(/ (exp (* x x)) (fabs (* x (sqrt (PI)))))

simplify317.0ms (2.6%)

Memory

18.7MiB live, 290.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 210×	`lower-fma.f64`
16 210×	`lower-fma.f32`
5 050×	`lower-*.f64`
5 050×	`lower-*.f32`
3 326×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	5932
1	589	5310
2	2065	4547
3	4604	4128
4	7065	4006
5	7892	4006
0	8089	3858

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

Outputs
(* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))))
(/ (+ (* 3/4 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))) (pow x 6))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))) (pow x 6))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 x) (exp.f64 (.f64 x x))) #s(literal 1/2 binary64)) (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))))))) (pow x 6))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64))) (.f64 (.f64 (.f64 (fabs.f64 x) (exp.f64 (.f64 x x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x))) (fma.f64 x x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))))
(.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x (.f64 x (fabs.f64 x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))))
(.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x (.f64 x (fabs.f64 x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))))
(/ 1 (fabs (* x (sqrt (PI)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(+ (/ 1 (fabs (* x (sqrt (PI))))) (/ (pow x 2) (fabs (* x (sqrt (PI))))))
(.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(fma.f64 (/.f64 (fabs.f64 x) (fabs.f64 (sqrt.f64 (PI.f64)))) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (fabs (* x (sqrt (PI)))))) (* 1/2 (/ 1 (fabs (* x (sqrt (PI)))))))) (/ 1 (fabs (* x (sqrt (PI))))))) (/ 1 (fabs (* x (sqrt (PI))))))
(fma.f64 x (.f64 x (.f64 (/.f64 (fabs.f64 x) (fabs.f64 (sqrt.f64 (PI.f64)))) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))
(/ (exp (pow x 2)) (fabs (* x (sqrt (PI)))))
(/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))))
(/ (+ (* 3/4 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))) (pow x 6))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))) (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))) (pow x 6))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 x) (exp.f64 (.f64 x x))) #s(literal 1/2 binary64)) (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 3/4 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))) (* (/ (* (pow x 2) (exp (pow (fabs x) 2))) (fabs x)) (sqrt (/ 1 (PI))))))))) (pow x 6))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (.f64 x x) #s(literal 15/8 binary64))) (.f64 (.f64 (.f64 (fabs.f64 x) (exp.f64 (.f64 x x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 x x))) (fma.f64 x x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))))
(.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/4 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x (.f64 x (fabs.f64 x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
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(+ (* 1/2 (* (/ (exp (pow (fabs x) 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow (fabs x) 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow (fabs x) 2)) (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ (exp (pow (fabs x) 2)) (fabs x))))))
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(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
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(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x (.f64 x (fabs.f64 x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))))
(* 15/8 (* (/ 1 (* (pow x 6) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (fabs.f64 x) (pow.f64 x #s(literal 6 binary64))))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* 21/8 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))) (pow x 6))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 21/8 binary64) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 35/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))) (pow x 6))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 21/8 binary64) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 35/16 binary64)) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* 15/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 21/8 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))) (* (pow x 2) (+ (* 19/16 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 35/16 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))))) (pow x 6))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 21/8 binary64) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 (*.f64 x x) #s(literal 19/16 binary64) #s(literal 35/16 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x (*.f64 x (fabs.f64 x))))
(/ (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))) (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x (.f64 x (fabs.f64 x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x x)))))
(/ (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))))) (pow x 2))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 x x)))
(/ (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))))) (pow x 2))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 x x)))
(* 1/2 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x (*.f64 x (fabs.f64 x))))
(/ (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))) (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))) (pow x 2))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x (.f64 x (fabs.f64 x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x x)))))
(/ (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))))) (pow x 2))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 x x)))
(/ (+ (* 1/2 (* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))) (+ (* 3/4 (* (/ (exp (pow x 2)) (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI))))) (* 15/8 (* (/ (exp (pow x 2)) (* (pow x 4) (fabs x))) (sqrt (/ 1 (PI))))))) (pow x 2))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 x x)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
(* x (sqrt (PI)))
(*.f64 x (sqrt.f64 (PI.f64)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.f64 x x))
(exp (pow x 2))
(exp.f64 (*.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))
(/ 1/2 (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))
(/ 1/2 (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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
(+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* (sqrt (/ 1 (PI))) (/ 1 (fabs x))) (* (pow x 2) (+ (* 1/6 (* (/ (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (/ 1 (fabs x)))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* (sqrt (/ 1 (PI))) (/ (exp (pow x 2)) (fabs x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
15/8
#s(literal 15/8 binary64)
(+ 15/8 (* 3/4 (pow x 2)))
(fma.f64 #s(literal 3/4 binary64) (*.f64 x x) #s(literal 15/8 binary64))
(+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))
(+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))
(* 1/2 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* (pow x 4) (+ 1/2 (* 3/4 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))
(* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))
(* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))
(* 1/2 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* (pow x 4) (+ 1/2 (* 3/4 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))
(* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))
(* (pow x 4) (+ 1/2 (+ (* 3/4 (/ 1 (pow x 2))) (/ 15/8 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))

rewrite350.0ms (2.9%)

Memory

9.7MiB live, 328.7MiB allocated

Rules

5 484×	`lower-*.f32`
5 458×	`lower-*.f64`
3 872×	`lower-fma.f32`
3 858×	`lower-fma.f64`
2 628×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	748
0	136	707
1	550	608
2	5250	608
0	8150	591

Stop Event

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

Counts

27 → 530

Calls

Call 1

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

Outputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (*.f64 x x)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64))))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 (.f64 x x))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (.f64 x x))) #s(literal 1 binary64)))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (.f64 x x)))))
(/.f64 (neg.f64 (exp.f64 (.f64 x x))) (.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (.f64 x x)))) (neg.f64 (.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (neg.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) (neg.f64 (fabs.f64 x)))
(/.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (fabs.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 x x))) (neg.f64 (fabs.f64 x)))
(pow.f64 (/.f64 (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fabs.f64 x) (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))) (exp.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))) (exp.f64 (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))))
(.f64 (neg.f64 (exp.f64 (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64))))))
(exp.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (exp.f64 (fabs.f64 x))) (fabs.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) x))
(pow.f64 (exp.f64 (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
(pow.f64 (exp.f64 x) x)
(pow.f64 (exp.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (exp.f64 (.f64 x x)))
(.f64 (exp.f64 (.f64 x x)) #s(literal 1 binary64))
(.f64 (exp.f64 (.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))) (exp.f64 (*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 2 binary64)))))
(.f64 (exp.f64 (.f64 x (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))
#s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (fabs.f64 x))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (fabs.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (neg.f64 (fabs.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (fabs.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (fabs.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (fabs.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (neg.f64 (fabs.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (fabs.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(*.f64 (pow.f64 (/.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal -3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/6 binary64))
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)))))
#s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 (sqrt.f64 (PI.f64)) (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))) (/.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64))) (*.f64 x (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))) (/.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))) (/.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (PI.f64)))))))
(/.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))) (/.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (sqrt.f64 (PI.f64)))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (PI.f64))))) x)
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(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2 binary64) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
(fma.f64 (fabs.f64 (.f64 x (.f64 x x))) (.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) x #s(literal 15/8 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x) x (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 15/8 binary64))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2 binary64))) x (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) #s(literal 225/64 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 15/8 binary64)))) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))))) #s(literal 3375/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal -15/8 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) #s(literal -225/64 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))))) #s(literal 3375/512 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) #s(literal 225/64 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 15/8 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))))) #s(literal 3375/512 binary64)) (+.f64 #s(literal 225/64 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))))) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 15/8 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) #s(literal -225/64 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal -15/8 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))))) #s(literal 3375/512 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) #s(literal 225/64 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 15/8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) #s(literal -225/64 binary64))) (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal -15/8 binary64))))
(/.f64 (-.f64 #s(literal 225/64 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))))) (-.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) #s(literal 225/64 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 15/8 binary64)))) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))))) #s(literal 3375/512 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal -15/8 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) #s(literal -225/64 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))))) #s(literal 3375/512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) #s(literal 225/64 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 15/8 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) #s(literal -225/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal -15/8 binary64))))

eval191.0ms (1.6%)

Memory: 47.0MiB live, 376.7MiB allocated
Compiler: Compiled 48 099 to 3 601 computations (92.5% saved)

prune384.0ms (3.1%)

Memory

-36.3MiB live, 808.0MiB allocated

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	1 422	19	1 441
Fresh	5	12	17
Picked	4	1	5
Done	0	0	0
Total	1 431	32	1 463

Accuracy

100.0%

Counts

1 463 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) #s(approx (+ (/ (+ (/ 1/2 ( x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x))))))) (/.f64 (fma.f64 (fabs.f64 x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
	86.6%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) (/.f64 (fabs.f64 x) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))))
	86.6%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (fabs.f64 x)))
	11.8%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
	86.6%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
	86.6%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
	5.1%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
	5.1%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
	2.4%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (+.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
	2.4%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (+ (/ 1 (fabs x)) (+ ( (* x x) (* (fabs x) 1/2)) (fabs x))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (fabs.f64 x))))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
	1.2%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
✓	99.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
	0.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (+ (* (* x x) (+ (* x (* x 1/2)) 3/4)) 15/8)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal 21/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 35/16 binary64))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
	0.6%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 27/16 binary64) #s(literal 21/8 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
	0.9%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) #s(literal 21/8 binary64) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
	1.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
	86.6%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
	79.1%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
	55.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
	2.2%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
	0.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 15/8 binary64)) (/.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (+.f64 (fabs.f64 x) (fma.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
	13.8%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
	86.6%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
	86.6%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x)))))
	32.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) x) #s(literal 1 binary64))) (fabs.f64 x)))))
	86.6%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
	45.8%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (/ (* (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (+ (* (* x x) (+ (* x (* x 1/2)) 3/4)) 15/8)) (* (* x x) (* x (* x (* x x))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 x x)))))
	84.1%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (fma.f64 x (.f64 x (.f64 (/.f64 (fabs.f64 x) (fabs.f64 (sqrt.f64 (PI.f64)))) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))))
	55.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))))
	2.1%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)))))
	72.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
	5.7%	#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Compiler

Compiled 2 560 to 795 computations (68.9% saved)

regimes44.0ms (0.4%)

Memory

-6.7MiB live, 85.7MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) #s(literal 21/8 binary64) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (fma.f64 x (.f64 x (.f64 (/.f64 (fabs.f64 x) (fabs.f64 (sqrt.f64 (PI.f64)))) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 27/16 binary64) #s(literal 21/8 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
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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 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))))

Calls

3 calls:

15.0ms

13.0ms

(fabs.f64 x)

12.0ms

(*.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 109 to 34 computations (68.8% saved)

regimes41.0ms (0.3%)

Memory

19.4MiB live, 57.6MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
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#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x))))
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#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (+.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) x) #s(literal 1 binary64))) (fabs.f64 x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (exp.f64 (.f64 x x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (/ (* (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (+ (* (* x x) (+ (* x (* x 1/2)) 3/4)) 15/8)) (* (* x x) (* x (* x (* x x))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (.f64 (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x x)) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 x 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 (+ (/ (+ (/ 1/2 ( x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x))))))) (/.f64 (fma.f64 (fabs.f64 x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))

Outputs

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

Calls

3 calls:

12.0ms

(fabs.f64 x)

12.0ms

(*.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
99.7%	1	`x`
99.7%	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))))))
99.7%	1	`(fabs.f64 x)`

Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes40.0ms (0.3%)

Memory

-4.7MiB live, 69.1MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) #s(literal 21/8 binary64) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (fma.f64 x (.f64 x (.f64 (/.f64 (fabs.f64 x) (fabs.f64 (sqrt.f64 (PI.f64)))) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 27/16 binary64) #s(literal 21/8 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (fabs.f64 x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) (/.f64 (fabs.f64 x) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (+ (* (* x x) (+ (* x (* x 1/2)) 3/4)) 15/8)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal 21/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 35/16 binary64))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (+ (/ 1 (fabs x)) (+ ( (* x x) (* (fabs x) 1/2)) (fabs x))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (fabs.f64 x))))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 15/8 binary64)) (/.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (+.f64 (fabs.f64 x) (fma.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))) (+.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) x) #s(literal 1 binary64))) (fabs.f64 x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (exp.f64 (.f64 x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))

Outputs

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

Calls

3 calls:

14.0ms

13.0ms

(fabs.f64 x)

8.0ms

(*.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
99.7%	1	`x`
99.7%	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))))))
99.7%	1	`(fabs.f64 x)`

Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes33.0ms (0.3%)

Memory

1.4MiB live, 46.3MiB allocated

Counts

34 → 2

Calls

Call 1

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

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

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

Calls

3 calls:

11.0ms

(*.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))))))

9.0ms

(fabs.f64 x)

9.0ms

Results

Accuracy	Segments	Branch
88.4%	2	`x`
86.6%	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))))))
88.4%	2	`(fabs.f64 x)`

Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes21.0ms (0.2%)

Memory

3.9MiB live, 41.3MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) #s(literal 21/8 binary64) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (fma.f64 x (.f64 x (.f64 (/.f64 (fabs.f64 x) (fabs.f64 (sqrt.f64 (PI.f64)))) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 27/16 binary64) #s(literal 21/8 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (fabs.f64 x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) (/.f64 (fabs.f64 x) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (+ (* (* x x) (+ (* x (* x 1/2)) 3/4)) 15/8)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal 21/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 35/16 binary64))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (+ (/ 1 (fabs x)) (+ ( (* x x) (* (fabs x) 1/2)) (fabs x))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (fabs.f64 x))))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x (.f64 x #s(literal 3/4 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) #s(literal 15/8 binary64)) (/.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (+.f64 (fabs.f64 x) (fma.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (sqrt.f64 (PI.f64)))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x)))))

Outputs

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

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

Calls

2 calls:

10.0ms	(fabs.f64 x)
8.0ms	x

Results

Accuracy	Segments	Branch
88.3%	2	`x`
88.3%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes24.0ms (0.2%)

Memory

0.4MiB live, 39.3MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) #s(literal 21/8 binary64) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (fma.f64 x (.f64 x (.f64 (/.f64 (fabs.f64 x) (fabs.f64 (sqrt.f64 (PI.f64)))) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64)))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 27/16 binary64) #s(literal 21/8 binary64)) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x))) (sqrt.f64 (PI.f64))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (fabs.f64 x)))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (fabs.f64 x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (sqrt.f64 (PI.f64)))) (/.f64 (fabs.f64 x) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (+ (* (* x x) (+ (* x (* x 1/2)) 3/4)) 15/8)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)) (fma.f64 (fabs.f64 x) #s(literal 21/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) #s(literal 35/16 binary64))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))

Outputs

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

Calls

3 calls:

8.0ms

(fabs.f64 x)

7.0ms

6.0ms

(*.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
86.6%	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))))))
86.6%	1	`x`
86.6%	1	`(fabs.f64 x)`

Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes17.0ms (0.1%)

Memory

-13.5MiB live, 25.1MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (/ (exp (* x x)) (fabs (* x (sqrt (PI))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 (sqrt.f64 (PI.f64)) (*.f64 x x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) #s(approx (* (sqrt (/ 1 (PI))) (* (+ 1 (/ 1/2 (* x x))) (/ (exp (* x x)) (fabs x)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (fabs.f64 x) #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))) (.f64 x x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (* (exp (* x x)) (* (sqrt (/ 1 (PI))) (+ (* x (* x 3/4)) 15/8))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (.f64 x x) #s(literal 21/8 binary64) #s(literal 15/8 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))

Outputs

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

Calls

3 calls:

6.0ms

5.0ms

(fabs.f64 x)

4.0ms

(*.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
86.6%	1	`x`
86.6%	1	`(fabs.f64 x)`
86.6%	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))))))

Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes11.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

3.0ms

(fabs.f64 x)

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
79.1%	1	`x`
79.1%	1	`(fabs.f64 x)`
79.1%	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))))))

Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes10.0ms (0.1%)

Memory

-31.2MiB live, 13.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

5.0ms

3.0ms

(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
55.7%	1	`x`
55.7%	1	`(fabs.f64 x)`
55.7%	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))))))

Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes5.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

3 calls:

1.0ms

(fabs.f64 x)

1.0ms

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

Results

Accuracy	Segments	Branch
2.2%	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))))))
2.2%	1	`x`
2.2%	1	`(fabs.f64 x)`

Compiler

Compiled 109 to 34 computations (68.8% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.052570114969035e+50	9.692822768469776e+51

Compiler

Compiled 90 to 35 computations (61.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.052570114969035e+50	9.692822768469776e+51

Compiler

Compiled 90 to 35 computations (61.1% saved)

simplify12.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Algorithm

1×	egg-herbie

Rules

50×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`fabs-mul_binary64`
2×	`1-exp_binary64`
2×	`*-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	955
1	157	955
2	158	955

Stop Event

1×

saturated

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 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
(if (<=.f64 (fabs.f64 x) #s(literal 200000000000000015259539682183774006589929941893120 binary64)) #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(approx ( (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
(if (<=.f64 (fabs.f64 x) #s(literal 200000000000000015259539682183774006589929941893120 binary64)) #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (+ (/ 1 (fabs x)) (+ ( (* x x) (* (fabs x) 1/2)) (fabs x))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (fabs.f64 x))))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))

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 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (exp.f64 (.f64 x x)) (fabs.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
(if (<=.f64 (fabs.f64 x) #s(literal 200000000000000015259539682183774006589929941893120 binary64)) #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(approx ( (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
(if (<=.f64 (fabs.f64 x) #s(literal 200000000000000015259539682183774006589929941893120 binary64)) #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(approx ( (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
(if (<=.f64 (fabs.f64 x) #s(literal 200000000000000015259539682183774006589929941893120 binary64)) #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (+ (/ 1 (fabs x)) (+ ( (* x x) (* (fabs x) 1/2)) (fabs x))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (fabs.f64 x))))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64)))))))
(if (<=.f64 (fabs.f64 x) #s(literal 200000000000000015259539682183774006589929941893120 binary64)) #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 15/8 binary64)) #s(approx ( (exp (* x x)) (/ (sqrt (/ 1 (PI))) (fabs x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (+ (/ 1 (fabs x)) (+ ( (* x x) (* (fabs x) 1/2)) (fabs x))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (fabs.f64 x)))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 (sqrt.f64 (PI.f64)) x)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(approx (exp ( x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(approx (exp (* x x)) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (fabs.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (.f64 (sqrt.f64 (PI.f64)) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (+ (/ 1/2 (* x x)) 1) (fabs x)) (+ (/ 3/4 (* (fabs x) (* (* x x) (* x x)))) (/ 15/8 (* (* x x) (* (fabs x) (* (* x x) (* x x)))))))) (/.f64 #s(approx (exp (* x x)) #s(literal 1 binary64)) (fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) x))))

soundness1.5s (12.6%)

Memory

-7.4MiB live, 704.3MiB allocated

Rules

24 884×	`lower-fma.f64`
24 884×	`lower-fma.f32`
19 980×	`lower-fma.f64`
19 980×	`lower-fma.f32`
16 210×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1182
1	249	1088
2	763	984
3	2199	886
4	4389	862
5	6044	827
6	7083	827
7	7200	827
8	7884	827
0	8135	814
0	59	633
0	96	575
1	410	469
2	4034	432
0	8434	425
0	81	748
0	136	707
1	550	608
2	5250	608
0	8150	591
0	203	5932
1	589	5310
2	2065	4547
3	4604	4128
4	7065	4006
5	7892	4006
0	8089	3858
0	263	6163
1	794	5519
2	2833	4758
3	5558	4249
0	8721	4123
0	26	177
0	48	100
1	156	68
2	1239	57
0	8480	54

Stop Event

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

Compiler

Compiled 568 to 251 computations (55.8% saved)

preprocess321.0ms (2.6%)

Memory: -11.0MiB live, 104.1MiB allocated
Remove: (abs x)
Compiler: Compiled 1 704 to 596 computations (65% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	29	732
1	53	720
2	91	720
3	143	720
4	170	720
5	203	720
6	250	696
7	322	696
8	329	696
9	330	696
0	330	696

Iter	Nodes	Cost
0	29	732
1	53	720
2	91	720
3	143	720
4	170	720
5	203	720
6	250	696
7	322	696
8	329	696
9	330	696
0	330	696

start0.0ms (0%)

analyze0.0ms (0%)

sample2.4s (19.6%)

explain674.0ms (5.5%)

preprocess381.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify275.0ms (2.3%)

localize104.0ms (0.8%)

series56.0ms (0.5%)

simplify19.0ms (0.2%)

rewrite314.0ms (2.6%)

eval182.0ms (1.5%)

prune101.0ms (0.8%)

simplify364.0ms (3%)

localize73.0ms (0.6%)

series16.0ms (0.1%)

simplify397.0ms (3.2%)

rewrite590.0ms (4.8%)

eval76.0ms (0.6%)

prune64.0ms (0.5%)

simplify391.0ms (3.2%)

localize272.0ms (2.2%)

series44.0ms (0.4%)

simplify379.0ms (3.1%)

rewrite295.0ms (2.4%)

eval299.0ms (2.4%)

prune468.0ms (3.8%)

simplify298.0ms (2.4%)

localize305.0ms (2.5%)

series31.0ms (0.3%)

simplify317.0ms (2.6%)

rewrite350.0ms (2.9%)

eval191.0ms (1.6%)

prune384.0ms (3.1%)

regimes44.0ms (0.4%)

regimes41.0ms (0.3%)

regimes40.0ms (0.3%)

regimes33.0ms (0.3%)

regimes21.0ms (0.2%)

regimes24.0ms (0.2%)

regimes17.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.5s (12.6%)

preprocess321.0ms (2.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	29	732
1	53	720
2	91	720
3	143	720
4	170	720
5	203	720
6	250	696
7	322	696
8	329	696
9	330	696
0	330	696