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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample2.7s (17.6%)

Memory

-97.2MiB live, 2 615.2MiB allocated

Samples

2.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-mult: 816.0ms (47.5% of total)

ival-div: 537.0ms (31.3% of total)

ival-add: 104.0ms (6.1% of total)

ival-exp: 67.0ms (3.9% of total)

ival-sqrt: 63.0ms (3.7% of total)

ival-fabs: 43.0ms (2.5% of total)

ival-pi: 34.0ms (2% of total)

exact: 27.0ms (1.6% of total)

ival->=: 25.0ms (1.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess441.0ms (2.9%)

Memory

-0.7MiB live, 714.1MiB allocated

Algorithm

2×	egg-herbie

Rules

14 984×	`accelerator-lowering-fma.f32`
14 984×	`accelerator-lowering-fma.f64`
3 646×	`-lowering-.f32`
3 646×	`-lowering-.f64`
2 218×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	286
1	208	163
2	512	121
3	2205	100
0	34	95
1	90	54
2	313	40
3	1217	33
4	3595	33
5	5226	32
6	6020	32
7	6367	32
8	6368	32
9	6368	32
10	7865	32
0	8036	31

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Call 2

Inputs

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

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

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

Symmetry

(abs x)

explain663.0ms (4.4%)

Memory

-61.8MiB live, 822.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))`
0	-	-	`(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
0	-	-	`(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
0	-	-	`(.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))))`
0	-	-	`#s(literal 8 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))`
0	-	-	`(.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))))`
0	-	-	(+.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)))))
0	-	-	`(/.f64 #s(literal 1 binary64) (fabs.f64 x))`
0	-	-	`(.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)))`
0	-	-	`#s(literal 15 binary64)`
0	-	-	`(PI.f64)`
0	-	-	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	-	`(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
0	-	-	`(*.f64 (fabs.f64 x) (fabs.f64 x))`
0	-	-	`(fabs.f64 x)`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))`
0	-	-	(+.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)))))
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))))))
0	-	-	`(sqrt.f64 (PI.f64))`
0	-	-	`(+.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)))))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(.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)))`
0	-	-	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
0	-	-	`(.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))))`
0	-	-	`x`
0	-	-	`(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

129.0ms

512×

valid

Compiler

Compiled 1 278 to 128 computations (90% saved)

Precisions

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

ival-mult: 33.0ms (47% of total)

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

ival-add: 6.0ms (8.6% of total)

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

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

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

ival-pi: 2.0ms (2.9% of total)

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

exact: 1.0ms (1.4% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.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

▶

99.9%

(*.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)

simplify613.0ms (4%)

Memory

11.0MiB live, 408.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	12800	(*.f64 (fabs.f64 x) (fabs.f64 x))
✓	cost-diff	12928	(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	cost-diff	12928	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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	12928	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))

Rules

14 984×	`accelerator-lowering-fma.f32`
14 984×	`accelerator-lowering-fma.f64`
3 646×	`-lowering-.f32`
3 646×	`-lowering-.f64`
2 218×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	495
1	90	281
2	313	214
3	1217	181
4	3595	178
5	5226	176
6	6020	175
7	6367	175
8	6368	175
9	6368	175
10	7865	175
0	8036	173

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize109.0ms (0.7%)

Memory

17.7MiB live, 212.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 (/.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	99.8%	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Samples

49.0ms

256×

valid

Compiler

Compiled 535 to 33 computations (93.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 15.0ms (42.2% of total)

ival-div: 10.0ms (28.1% of total)

ival-add: 3.0ms (8.4% of total)

ival-exp: 2.0ms (5.6% of total)

ival-sqrt: 2.0ms (5.6% of total)

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

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

exact: 1.0ms (2.8% of total)

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

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

series14.0ms (0.1%)

Memory

-16.3MiB live, 22.4MiB allocated

Counts

6 → 60

Calls

Call 1

Inputs
#<alt (* (/ 1 (fabs x)) (/ 1 (fabs x)))>
#<alt (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))>
#<alt (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))>
#<alt (* (fabs x) (fabs x))>
#<alt (sqrt (PI))>
#<alt (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))>

Outputs
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>
#<alt (/ 1 (pow (fabs x) 3))>

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
2.0ms	x	@	-inf	(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
1.0ms	x	@	-inf	(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0ms	x	@	inf	(* (* (* (* (* (/ 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 (fabs x))) (/ 1 (fabs x)))

rewrite206.0ms (1.4%)

Memory

-8.1MiB live, 313.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 216×	`-lowering-.f32`
2 216×	`-lowering-.f64`
2 100×	`accelerator-lowering-fma.f32`
2 100×	`accelerator-lowering-fma.f64`
1 418×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	70	25
2	461	20
3	2325	17
0	8232	17

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 376

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(exp.f64 (+.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) (.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -3 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -2 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -2 binary64) (log.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (log.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (neg.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x)))))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -2 binary64) (log.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(exp.f64 (-.f64 (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(exp.f64 (-.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (log.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
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(*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))

simplify15.0ms (0.1%)

Memory

-0.7MiB live, 38.2MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`/-lowering-/.f32`
30×	`/-lowering-/.f64`
16×	`-lowering-.f32`
16×	`-lowering-.f64`
16×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	336
1	20	312
2	26	312
3	34	312
4	41	312
5	42	312
0	42	312

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

Inputs
(/ 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) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(/ 1 (pow (fabs x) 6))
(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 (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
(/ 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) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(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 (pow (fabs x) 3))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(/ 1 (pow (fabs x) 3))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))

eval139.0ms (0.9%)

Memory: 39.9MiB live, 349.5MiB allocated
Compiler: Compiled 73 356 to 3 713 computations (94.9% saved)

prune127.0ms (0.8%)

Memory

-20.4MiB live, 186.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	749	4	753
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	750	4	754

Accuracy

99.9%

Counts

754 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))))) (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))))))
▶	99.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (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))))))
▶	99.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) (+.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))))))
▶	99.9%	(.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 #s(literal 1 binary64) x) x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Compiler

Compiled 420 to 145 computations (65.5% saved)

simplify571.0ms (3.8%)

Memory

22.0MiB live, 925.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	12800	(*.f64 (fabs.f64 x) (fabs.f64 x))
✓	cost-diff	12928	(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	cost-diff	12928	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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	12928	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	cost-diff	12864	(pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))
✓	cost-diff	12928	(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	cost-diff	12928	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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	12928	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	cost-diff	6912	(+.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)))))
✓	cost-diff	12928	(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	cost-diff	12928	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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	12928	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	cost-diff	6912	(+.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 #s(literal 1 binary64) x) x) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
✓	cost-diff	12800	(*.f64 (fabs.f64 x) (fabs.f64 x))
✓	cost-diff	12928	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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	12928	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))

Rules

19 922×	`accelerator-lowering-fma.f32`
19 922×	`accelerator-lowering-fma.f64`
6 246×	`-lowering-.f32`
6 246×	`-lowering-.f64`
3 766×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	21474838161
1	190	21474837533
2	773	21474837327
3	4817	21474837232
4	7267	21474837224
5	7611	21474837224
6	7616	21474837224
7	7620	21474837224
8	7620	21474837218
0	8902	813

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (/ (/ (/ 1 x) x) (* x (* x (* x x)))) (/ 1 (fabs x))))))
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))
(/ 1 (sqrt (PI)))
1
(sqrt (PI))
(PI)
(exp (* (fabs x) (fabs x)))
(* (fabs x) (fabs x))
(fabs x)
x
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (/ (/ (/ 1 x) x) (* x (* x (* x x)))) (/ 1 (fabs x)))))
(+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(/ 1 (fabs x))
(* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/ 1 2)
2
(* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 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))))
(/ 3 4)
3
4
(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (/ 15 8) (* (/ (/ (/ 1 x) x) (* x (* x (* x x)))) (/ 1 (fabs x))))
(/ 15 8)
15
8
(* (/ (/ (/ 1 x) x) (* x (* x (* x x)))) (/ 1 (fabs x)))
(/ (/ (/ 1 x) x) (* x (* x (* x x))))
(/ (/ 1 x) x)
(/ 1 x)
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(* (* (/ 1 (sqrt (PI))) (exp (/ (pow (/ 1 x) -3/2) (pow (/ 1 x) 1/2)))) (+ (+ (+ (/ 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 (sqrt (PI))) (exp (/ (pow (/ 1 x) -3/2) (pow (/ 1 x) 1/2))))
(/ 1 (sqrt (PI)))
1
(sqrt (PI))
(PI)
(exp (/ (pow (/ 1 x) -3/2) (pow (/ 1 x) 1/2)))
(/ (pow (/ 1 x) -3/2) (pow (/ 1 x) 1/2))
(pow (/ 1 x) -3/2)
(/ 1 x)
x
-3/2
(pow (/ 1 x) 1/2)
1/2
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(/ 1 (fabs x))
(fabs x)
(* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/ 1 2)
2
(* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 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))))
(/ 3 4)
3
4
(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/ 15 8)
15
8
(* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (* (/ 1 (* (cbrt (PI)) (pow (pow (pow (PI) 1/6) 1/3) 3))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))))
(* (/ 1 (* (cbrt (PI)) (pow (pow (pow (PI) 1/6) 1/3) 3))) (exp (* (fabs x) (fabs x))))
(/ 1 (* (cbrt (PI)) (pow (pow (pow (PI) 1/6) 1/3) 3)))
1
(* (cbrt (PI)) (pow (pow (pow (PI) 1/6) 1/3) 3))
(cbrt (PI))
(PI)
(pow (pow (pow (PI) 1/6) 1/3) 3)
(pow (pow (PI) 1/6) 1/3)
(pow (PI) 1/6)
1/6
1/3
3
(exp (* (fabs x) (fabs x)))
(* (fabs x) (fabs x))
(fabs x)
x
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(/ 1 (fabs x))
(* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/ 1 2)
2
(* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 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))))
(/ 3 4)
4
(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/ 15 8)
15
8
(* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (* (/ 1 (* (pow (PI) 2/9) (cbrt (pow (PI) 5/6)))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))))
(* (/ 1 (* (pow (PI) 2/9) (cbrt (pow (PI) 5/6)))) (exp (* (fabs x) (fabs x))))
(/ 1 (* (pow (PI) 2/9) (cbrt (pow (PI) 5/6))))
1
(* (pow (PI) 2/9) (cbrt (pow (PI) 5/6)))
(pow (PI) 2/9)
(PI)
2/9
(cbrt (pow (PI) 5/6))
(pow (PI) 5/6)
5/6
(exp (* (fabs x) (fabs x)))
(* (fabs x) (fabs x))
(fabs x)
x
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(/ 1 (fabs x))
(* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/ 1 2)
2
(* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 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))))
(/ 3 4)
3
4
(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/ 15 8)
15
8
(* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))

Outputs
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (/ (/ (/ 1 x) x) (* x (* x (* x x)))) (/ 1 (fabs x))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.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)))))
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(/ 1 (sqrt (PI)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
1
#s(literal 1 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(exp (* (fabs x) (fabs x)))
(exp.f64 (*.f64 x x))
(* (fabs x) (fabs x))
(*.f64 x x)
(fabs x)
(fabs.f64 x)
x
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (/ (/ (/ 1 x) x) (* x (* x (* x x)))) (/ 1 (fabs x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.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)))))
(+ (+ (/ 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)))))
(.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x x))))))
(+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))
(/ 1 (fabs x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x))
(/ 1 2)
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x)))) (fabs.f64 x))
(/ 3 4)
#s(literal 3/4 binary64)
3
#s(literal 3 binary64)
4
#s(literal 4 binary64)
(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))))
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* (/ 15 8) (* (/ (/ (/ 1 x) x) (* x (* x (* x x)))) (/ 1 (fabs x))))
(/.f64 #s(literal 15/8 binary64) (.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)))
(/ 15 8)
#s(literal 15/8 binary64)
15
#s(literal 15 binary64)
8
#s(literal 8 binary64)
(* (/ (/ (/ 1 x) x) (* x (* x (* x x)))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)))
(/ (/ (/ 1 x) x) (* x (* x (* x x))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(/ (/ 1 x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* (* (/ 1 (sqrt (PI))) (exp (/ (pow (/ 1 x) -3/2) (pow (/ 1 x) 1/2)))) (+ (+ (+ (/ 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))))))
(.f64 (/.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.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)))))
(* (/ 1 (sqrt (PI))) (exp (/ (pow (/ 1 x) -3/2) (pow (/ 1 x) 1/2))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64)))
(/ 1 (sqrt (PI)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
1
#s(literal 1 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(exp (/ (pow (/ 1 x) -3/2) (pow (/ 1 x) 1/2)))
(exp.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/ (pow (/ 1 x) -3/2) (pow (/ 1 x) 1/2))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(pow (/ 1 x) -3/2)
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
-3/2
#s(literal -3/2 binary64)
(pow (/ 1 x) 1/2)
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ (+ (+ (/ 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)))))
(.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.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)))))
(+ (+ (/ 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)))))
(.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x x))))))
(+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))
(/ 1 (fabs x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs x)
(fabs.f64 x)
(* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x))
(/ 1 2)
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x)))) (fabs.f64 x))
(/ 3 4)
#s(literal 3/4 binary64)
3
#s(literal 3 binary64)
4
#s(literal 4 binary64)
(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))))
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/.f64 #s(literal 15/8 binary64) (.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)))
(/ 15 8)
#s(literal 15/8 binary64)
15
#s(literal 15 binary64)
8
#s(literal 8 binary64)
(* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)))
(* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* (* (/ 1 (* (cbrt (PI)) (pow (pow (pow (PI) 1/6) 1/3) 3))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.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)))))
(* (/ 1 (* (cbrt (PI)) (pow (pow (pow (PI) 1/6) 1/3) 3))) (exp (* (fabs x) (fabs x))))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(/ 1 (* (cbrt (PI)) (pow (pow (pow (PI) 1/6) 1/3) 3)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (cbrt.f64 (PI.f64)))
1
#s(literal 1 binary64)
(* (cbrt (PI)) (pow (pow (pow (PI) 1/6) 1/3) 3))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(cbrt (PI))
(cbrt.f64 (PI.f64))
(PI)
(PI.f64)
(pow (pow (pow (PI) 1/6) 1/3) 3)
(pow.f64 (PI.f64) #s(literal 1/6 binary64))
(pow (pow (PI) 1/6) 1/3)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(pow (PI) 1/6)
(pow.f64 (PI.f64) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
1/3
#s(literal 1/3 binary64)
3
#s(literal 3 binary64)
(exp (* (fabs x) (fabs x)))
(exp.f64 (*.f64 x x))
(* (fabs x) (fabs x))
(*.f64 x x)
(fabs x)
(fabs.f64 x)
x
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.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)))))
(+ (+ (/ 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)))))
(.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x x))))))
(+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))
(/ 1 (fabs x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x))
(/ 1 2)
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x)))) (fabs.f64 x))
(/ 3 4)
#s(literal 3/4 binary64)
4
#s(literal 4 binary64)
(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))))
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/.f64 #s(literal 15/8 binary64) (.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)))
(/ 15 8)
#s(literal 15/8 binary64)
15
#s(literal 15 binary64)
8
#s(literal 8 binary64)
(* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)))
(* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* (* (/ 1 (* (pow (PI) 2/9) (cbrt (pow (PI) 5/6)))) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 (fabs.f64 x) (.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.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)))))
(* (/ 1 (* (pow (PI) 2/9) (cbrt (pow (PI) 5/6)))) (exp (* (fabs x) (fabs x))))
(/.f64 (exp.f64 (.f64 x x)) (.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))))
(/ 1 (* (pow (PI) 2/9) (cbrt (pow (PI) 5/6))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))))
1
#s(literal 1 binary64)
(* (pow (PI) 2/9) (cbrt (pow (PI) 5/6)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))))
(pow (PI) 2/9)
(pow.f64 (PI.f64) #s(literal 2/9 binary64))
(PI)
(PI.f64)
2/9
#s(literal 2/9 binary64)
(cbrt (pow (PI) 5/6))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(pow (PI) 5/6)
(pow.f64 (PI.f64) #s(literal 5/6 binary64))
5/6
#s(literal 5/6 binary64)
(exp (* (fabs x) (fabs x)))
(exp.f64 (*.f64 x x))
(* (fabs x) (fabs x))
(*.f64 x x)
(fabs x)
(fabs.f64 x)
x
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.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)))))
(+ (+ (/ 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)))))
(.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x x))))))
(+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))
(/ 1 (fabs x))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x))
(/ 1 2)
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x)))) (fabs.f64 x))
(/ 3 4)
#s(literal 3/4 binary64)
3
#s(literal 3 binary64)
4
#s(literal 4 binary64)
(* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))))
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))
(/.f64 #s(literal 15/8 binary64) (.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)))
(/ 15 8)
#s(literal 15/8 binary64)
15
#s(literal 15 binary64)
8
#s(literal 8 binary64)
(* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)))
(* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))

localize443.0ms (2.9%)

Memory

2.5MiB live, 777.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	accuracy	98.4%	(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))))
✓	accuracy	98.4%	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	accuracy	98.4%	(cbrt.f64 (PI.f64))
✓	accuracy	97.5%	(pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))
✓	accuracy	99.7%	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.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	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Samples

173.0ms

256×

valid

Compiler

Compiled 2 203 to 70 computations (96.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-mult: 39.0ms (30% of total)

ival-pow: 23.0ms (17.7% of total)

ival-div: 18.0ms (13.8% of total)

const: 12.0ms (9.2% of total)

ival-add: 10.0ms (7.7% of total)

ival-exp: 10.0ms (7.7% of total)

ival-cbrt: 7.0ms (5.4% of total)

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

ival-sqrt: 4.0ms (3.1% 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)

series34.0ms (0.2%)

Memory

-15.8MiB live, 43.1MiB allocated

Counts

14 → 108

Calls

Call 1

Inputs
#<alt (* (/ 1 (fabs x)) (/ 1 (fabs x)))>
#<alt (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))>
#<alt (* (fabs x) (fabs x))>
#<alt (+ (+ (+ (/ 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 x) x) (* x (* x (* x x)))) (/ 1 (fabs x)))))>
#<alt (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))>
#<alt (+ (+ (+ (/ 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)))))>
#<alt (pow (pow (pow (PI) 1/6) 1/3) 3)>
#<alt (sqrt (PI))>
#<alt (/ (/ 1 x) x)>
#<alt (pow (/ 1 x) -3/2)>
#<alt (/ (pow (/ 1 x) -3/2) (pow (/ 1 x) 1/2))>
#<alt (cbrt (PI))>
#<alt (cbrt (pow (PI) 5/6))>
#<alt (* (pow (PI) 2/9) (cbrt (pow (PI) 5/6)))>

Outputs
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 2))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (/ 1 (pow (fabs x) 4))>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (/ 15/8 (* (pow x 6) (fabs x)))>
#<alt (/ (+ (* (pow x 6) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))>
#<alt (/ (+ (* (pow x 6) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))>
#<alt (/ (+ (* (pow x 6) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))>
#<alt (+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))>
#<alt (+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))>
#<alt (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))>
#<alt (+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))>
#<alt (+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))>
#<alt (+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<alt (/ 1 (pow (fabs x) 6))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

27 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(pow (/ 1 x) -3/2)
5.0ms	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)))))
4.0ms	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 x) x) (* x (* x (* x x)))) (/ 1 (fabs x)))))
2.0ms	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 x) x) (* x (* x (* x x)))) (/ 1 (fabs x)))))
2.0ms	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 x) x) (* x (* x (* x x)))) (/ 1 (fabs x)))))

rewrite546.0ms (3.6%)

Memory

33.7MiB live, 773.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 794×	`-lowering-.f32`
4 794×	`-lowering-.f64`
3 442×	`accelerator-lowering-fma.f32`
3 442×	`accelerator-lowering-fma.f64`
2 258×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	146
1	288	99
2	2433	75
0	9220	69

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 986

Calls

Call 1

Inputs
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
(* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(* (fabs x) (fabs x))
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (/ (/ (/ 1 x) x) (* x (* x (* x x)))) (/ 1 (fabs x)))))
(* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x)))
(+ (+ (+ (/ 1 (fabs x)) (* (/ 1 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)))))
(pow (pow (pow (PI) 1/6) 1/3) 3)
(sqrt (PI))
(/ (/ 1 x) x)
(pow (/ 1 x) -3/2)
(/ (pow (/ 1 x) -3/2) (pow (/ 1 x) 1/2))
(cbrt (PI))
(cbrt (pow (PI) 5/6))
(* (pow (PI) 2/9) (cbrt (pow (PI) 5/6)))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (-.f64 (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (-.f64 (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -7/4 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
(exp.f64 (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
(exp.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))
(exp.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 0 binary64) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 x #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -7/4 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
(exp.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -3/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x))
(fabs.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(fabs.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 x x))))
(fabs.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x)))
(fabs.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) x))
(fabs.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x)))
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(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 5/6 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 5/12 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 5/6 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 5/18 binary64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(pow.f64 (PI.f64) #s(literal 5/18 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/9 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 5/12 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 5/36 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 5/54 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 5/36 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (pow.f64 (PI.f64) #s(literal 5/6 binary64))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 5/18 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/18 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 5/18 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/36 binary64)) (pow.f64 (PI.f64) #s(literal 5/36 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 5/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 5/18 binary64)) (pow.f64 (PI.f64) #s(literal 5/18 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/18 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/18 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5/18 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 5/18 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 5/18 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5/18 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/9 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/18 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/9 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/18 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (.f64 (.f64 #s(literal 5/6 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64)) (*.f64 #s(literal 2/9 binary64) (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (.f64 #s(literal 2/9 binary64) (log.f64 (PI.f64))) (.f64 (*.f64 #s(literal 5/6 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 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 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.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 (pow.f64 (PI.f64) #s(literal 5/18 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (PI.f64) #s(literal 5/18 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (pow.f64 (PI.f64) #s(literal 7/18 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/18 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))

simplify397.0ms (2.6%)

Memory

16.8MiB live, 367.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 510×	`-lowering-.f32`
8 510×	`-lowering-.f64`
3 466×	`accelerator-lowering-fma.f32`
3 466×	`accelerator-lowering-fma.f64`
3 340×	`unswap-sqr`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	52	1075
1	103	1015
2	210	1011
3	383	1011
4	568	1011
5	878	1002
6	1063	988
7	1400	988
8	1600	988
9	1932	925
10	2334	925
11	2937	925
12	3796	925
13	3893	925
14	3980	925
15	4023	925
16	4071	925
17	4706	925
18	4819	925
19	5087	925
20	5857	925
21	5857	925
22	5857	925
23	7907	925
0	8547	925

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

Outputs
(/ 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)))
(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)
(/ 15/8 (* (pow x 6) (fabs x)))
(/.f64 (/.f64 #s(literal 15/8 binary64) (fabs.f64 x)) (pow.f64 x #s(literal 6 binary64)))
(/ (+ (* (pow x 6) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(/ (+ (* (pow x 6) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(/ (+ (* (pow x 6) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))) (* 15/8 (/ 1 (fabs x)))) (pow x 6))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+.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) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3)))))
(+.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) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(+ (* 1/2 (/ 1 (pow (fabs x) 3))) (+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (/ 1 (fabs x)) (* 15/8 (/ 1 (* (pow x 6) (fabs x)))))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
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(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
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(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(/ 1 (pow (fabs x) 6))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 6 binary64)))
(+ (* 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 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.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) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.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) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
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(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
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(+ (* 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 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.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) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
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(+ (* 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 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.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) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.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) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.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) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.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) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.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) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(+ (* 3/4 (/ 1 (pow (fabs x) 5))) (+ (* 15/8 (/ 1 (pow (fabs x) 7))) (+ (/ 1 (fabs x)) (* 1/2 (/ 1 (pow (fabs x) 3))))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.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) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(/ 1 (pow x 2))
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(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 x (.f64 x x)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 x (.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 x (.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 x (.f64 x x))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (.f64 x (.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)

eval611.0ms (4%)

Memory: 2.5MiB live, 953.8MiB allocated
Compiler: Compiled 363 956 to 6 336 computations (98.3% saved)

prune366.0ms (2.4%)

Memory

-0.8MiB live, 710.4MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	2 835	12	2 847
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	2 839	12	2 851

Accuracy

100.0%

Counts

2 851 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))))
	53.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)) (.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))) (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))))
	53.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)) (.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))) (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))))
	16.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))))))
	10.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (/.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))) (+.f64 (.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (-.f64 (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)) (.f64 (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x)) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x))))) (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x))) (+.f64 (.f64 #s(literal 27/64 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 #s(literal 3375/512 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))) (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x))) (+.f64 (.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (-.f64 (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)) (.f64 (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x)) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x)))))))
	99.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/36 binary64)) #s(literal 6 binary64)))) (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))))))
	35.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))))
▶	53.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)) (.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))) (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x) x))))))
	53.8%	(.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 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64))) x))) (.f64 x (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x)))))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64))) x)))))
▶	16.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x))))))
▶	99.9%	(.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 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x) x)))))
▶	99.9%	(.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 1/2 binary64) (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))))

Compiler

Compiled 3 468 to 994 computations (71.3% saved)

simplify375.0ms (2.5%)

Memory

28.1MiB live, 544.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
✓	cost-diff	6400	(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
✓	cost-diff	12800	(*.f64 (fabs.f64 x) (fabs.f64 x))
✓	cost-diff	128	(.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x) x))
✓	cost-diff	128	(.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x)))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
✓	cost-diff	12800	(*.f64 (fabs.f64 x) (fabs.f64 x))
✓	cost-diff	128	(.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
✓	cost-diff	4864	(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)) (.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))) (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x)))))
✓	cost-diff	12800	(*.f64 (fabs.f64 x) (fabs.f64 x))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
✓	cost-diff	12800	(*.f64 (fabs.f64 x) (fabs.f64 x))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	cost-diff	128	(+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
✓	cost-diff	12800	(*.f64 (fabs.f64 x) (fabs.f64 x))

Rules

8 170×	`accelerator-lowering-fma.f32`
8 170×	`accelerator-lowering-fma.f64`
6 168×	`-lowering-.f32`
6 168×	`-lowering-.f64`
2 650×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	21474838759
1	267	21474838259
2	1177	21474837973
3	6801	21474837899
0	8313	1499

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))))
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))
(/ 1 (sqrt (PI)))
1
(sqrt (PI))
(PI)
(exp (* (fabs x) (fabs x)))
(* (fabs x) (fabs x))
(fabs x)
x
(+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))
(/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)
(/ 15/8 (* x (* x (* x (* x (* x x))))))
15/8
(* x (* x (* x (* x (* x x)))))
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))
(* (/ 1 x) (+ 1 (/ 1/2 (* x x))))
(/ 1 x)
(+ 1 (/ 1/2 (* x x)))
(/ 1/2 (* x x))
1/2
(* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))
3/4
(/ (/ (/ 1 (* x (* x x))) x) x)
(/ (/ 1 (* x (* x x))) x)
(/ 1 (* x (* x x)))
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (+ (/ (/ 1/2 (* x x)) x) (+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))))
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))
(/ 1 (sqrt (PI)))
1
(sqrt (PI))
(PI)
(exp (* (fabs x) (fabs x)))
(* (fabs x) (fabs x))
(fabs x)
x
(+ (/ (/ 1/2 (* x x)) x) (+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))))
(/ (/ 1/2 (* x x)) x)
(/ 1/2 (* x x))
1/2
(* x x)
(+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))
(/ 1 x)
(* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))
(+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))
(* (/ (/ 1 (* x (* x x))) x) 3/4)
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(* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))
(/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)
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15/8
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(* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x)))
9/16
(* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))
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(* (pow (PI) 2/9) (cbrt (pow (PI) 5/6)))
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Outputs
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15/8
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(.f64 x (.f64 x (*.f64 x x)))
(/ 1 (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) (*.f64 x x))))
(+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)))
(/ (/ 1 x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 x x))
(/ (/ 1/2 (* x x)) x)
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))
(/ 1/2 (* x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(/ (- (/ 1/2 (* x x)) 1) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)
(- (/ 1/2 (* x x)) 1)
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))
(/.f64 (+.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))))) x)
(+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* 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)))))
(* (/ (/ 1 (* x (* x x))) x) 3/4)
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (/ 1 (* x (* x x))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)
3/4
#s(literal 3/4 binary64)
(/ 15/8 (* x (* x (* x (* x (* x x))))))
(/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
15/8
#s(literal 15/8 binary64)

localize588.0ms (3.9%)

Memory

-19.6MiB live, 816.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.4%	(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))))
✓	accuracy	98.4%	(cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
✓	accuracy	38.2%	(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	17.6%	(/.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	55.9%	(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)) (.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))) (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x)))))
✓	accuracy	99.4%	(/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.4%	(/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Samples

181.0ms

256×

valid

Compiler

Compiled 2 965 to 79 computations (97.3% saved)

Precisions

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

ival-mult: 52.0ms (41% of total)

ival-div: 27.0ms (21.3% of total)

const: 11.0ms (8.7% of total)

ival-add: 10.0ms (7.9% of total)

ival-pow: 10.0ms (7.9% of total)

ival-sub: 5.0ms (3.9% of total)

ival-pi: 3.0ms (2.4% of total)

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

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

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

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

exact: 1.0ms (0.8% of total)

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

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

series85.0ms (0.6%)

Memory

15.9MiB live, 125.0MiB allocated

Counts

19 → 192

Calls

Call 1

Inputs
#<alt (* (fabs x) (fabs x))>
#<alt (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))>
#<alt (+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))>
#<alt (* (/ 1 x) (+ 1 (/ 1/2 (* x x))))>
#<alt (+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))>
#<alt (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))>
#<alt (/ (- (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)) (* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))) (- (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))))>
#<alt (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))>
#<alt (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x)))>
#<alt (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))>
#<alt (+ (* (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))) (/ 1 (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))>
#<alt (* (/ 1 (* (pow (PI) 2/9) (cbrt (pow (PI) 5/6)))) (exp (* (fabs x) (fabs x))))>
#<alt (sqrt (PI))>
#<alt (/ 1/2 (* x x))>
#<alt (/ 1 (* x (* x x)))>
#<alt (/ 15/8 (* x (* x (* x (* x (* x x))))))>
#<alt (/ (+ (* (- (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))) (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))))>
#<alt (cbrt (pow (PI) 5/6))>
#<alt (* (pow (PI) 2/9) (cbrt (pow (PI) 5/6)))>

Outputs
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (/ 15/8 (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))>
#<alt (/ 1/2 (pow x 3))>
#<alt (/ (+ 1/2 (pow x 2)) (pow x 3))>
#<alt (/ (+ 1/2 (pow x 2)) (pow x 3))>
#<alt (/ (+ 1/2 (pow x 2)) (pow x 3))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ 15/8 (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (pow x 4)))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (pow x 4)))) (pow x 7))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 3/4 (/ 1 (pow x 4)))) x)>
#<alt (/ (+ 1 (+ (* 3/4 (/ 1 (pow x 4))) (/ 15/8 (pow x 6)))) x)>
#<alt (/ (+ 1 (+ (* 3/4 (/ 1 (pow x 4))) (/ 15/8 (pow x 6)))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 3/4 (/ 1 (pow x 4)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) 1) x))>
#<alt (/ 15/8 (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ 15/8 (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 1 (pow x 10))>
#<alt (/ 1 (pow x 10))>
#<alt (/ 1 (pow x 10))>
#<alt (/ 1 (pow x 10))>
#<alt (/ 1 (pow x 10))>
#<alt (/ 1 (pow x 10))>
#<alt (/ 1 (pow x 10))>
#<alt (/ 1 (pow x 10))>
#<alt (/ 1 (pow x 10))>
#<alt (/ 1 (pow x 10))>
#<alt (/ 1 (pow x 10))>
#<alt (/ 1 (pow x 10))>
#<alt (/ 15/8 (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))>

Calls

48 calls:

Time	Variable		Expression
67.0ms	x	@	(* (/ 1 (* (pow (PI) 2/9) (cbrt (pow (PI) 5/6)))) (exp (* (fabs x) (fabs x))))
1.0ms	x	@	(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))
1.0ms	x	@	(/ (+ (* (- (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))) (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))))
1.0ms	x	@	(* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))
1.0ms	x	@	(* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x)))

rewrite492.0ms (3.2%)

Memory

9.7MiB live, 647.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 450×	`-lowering-.f32`
4 450×	`-lowering-.f64`
4 012×	`/-lowering-/.f32`
4 012×	`/-lowering-/.f64`
3 496×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	450
1	510	295
2	7147	295
0	8273	280

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 601

Calls

Call 1

Inputs
(* (fabs x) (fabs x))
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))
(+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))
(* (/ 1 x) (+ 1 (/ 1/2 (* x x))))
(+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))
(* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))
(/ (- (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)) (* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))) (- (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))))
(* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))
(* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x)))
(* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))
(+ (* (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))) (/ 1 (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))
(* (/ 1 (* (pow (PI) 2/9) (cbrt (pow (PI) 5/6)))) (exp (* (fabs x) (fabs x))))
(sqrt (PI))
(/ 1/2 (* x x))
(/ 1 (* x (* x x)))
(/ 15/8 (* x (* x (* x (* x (* x x))))))
(/ (+ (* (- (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))) (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))))
(cbrt (pow (PI) 5/6))
(* (pow (PI) 2/9) (cbrt (pow (PI) 5/6)))

Outputs
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) 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 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (*.f64 x x))))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (exp.f64 (*.f64 x x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (exp.f64 (.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 #s(literal -1 binary64) (exp.f64 (.f64 x x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (exp.f64 (.f64 x x)))
(.f64 (exp.f64 (.f64 x x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x (.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))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x))
(+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))))
(+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 225/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (/.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 225/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x) (/.f64 #s(literal 3/4 binary64) (.f64 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))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x (.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))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
(fma.f64 #s(literal 15/8 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) x) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.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))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 #s(literal 15/8 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(fma.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (/.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) 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) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x))
(fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 3/4 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 3/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
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(.f64 (/.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64)))))) (-.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 225/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x)))) (/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64)))))) (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) x)
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64)))))) (-.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 225/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x)))) (/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x)) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64)))))) (-.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 225/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x)))) (/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x)) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 x x))) (.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 x x))) (.f64 x x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 5/6 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(pow.f64 (PI.f64) #s(literal 5/18 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -2/9 binary64)) (pow.f64 (PI.f64) #s(literal 5/18 binary64))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (PI.f64) #s(literal 5/18 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (PI.f64) #s(literal 5/18 binary64)))) #s(literal -1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (PI.f64) #s(literal 5/18 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 5/18 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/18 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/18 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (PI.f64) #s(literal 5/18 binary64))) #s(literal 1 binary64))
(.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (pow.f64 (PI.f64) #s(literal 5/18 binary64))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5/18 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))

simplify321.0ms (2.1%)

Memory

-1.2MiB live, 516.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 178×	`accelerator-lowering-fma.f32`
8 178×	`accelerator-lowering-fma.f64`
3 280×	`-lowering-.f32`
3 280×	`-lowering-.f64`
1 468×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1596
1	198	1560
2	420	1550
3	963	1548
4	2700	1548
5	5565	1548
0	8065	1513

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(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)
(* (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)))
(/ 15/8 (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))
(/ 1/2 (pow x 3))
(/ (+ 1/2 (pow x 2)) (pow x 3))
(/ (+ 1/2 (pow x 2)) (pow x 3))
(/ (+ 1/2 (pow x 2)) (pow x 3))
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ 15/8 (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (pow x 4)))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (pow x 4)))) (pow x 7))
(/ 1 x)
(/ (+ 1 (* 3/4 (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (* 3/4 (/ 1 (pow x 4))) (/ 15/8 (pow x 6)))) x)
(/ (+ 1 (+ (* 3/4 (/ 1 (pow x 4))) (/ 15/8 (pow x 6)))) x)
(/ 1 x)
(/ (+ 1 (* 3/4 (/ 1 (pow x 4)))) x)
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) 1) x))
(/ 15/8 (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ 3/4 (pow x 5))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/ 3/4 (pow x 5))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/ 15/8 (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 1 (pow x 10))
(/ 1 (pow x 10))
(/ 1 (pow x 10))
(/ 1 (pow x 10))
(/ 1 (pow x 10))
(/ 1 (pow x 10))
(/ 1 (pow x 10))
(/ 1 (pow x 10))
(/ 1 (pow x 10))
(/ 1 (pow x 10))
(/ 1 (pow x 10))
(/ 1 (pow x 10))
(/ 15/8 (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) 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)))
(/ 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 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))

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

eval743.0ms (4.9%)

Memory: -49.4MiB live, 887.6MiB allocated
Compiler: Compiled 307 433 to 6 386 computations (97.9% saved)

prune278.0ms (1.8%)

Memory

-13.7MiB live, 402.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	2 292	7	2 299
Fresh	6	1	7
Picked	5	0	5
Done	0	0	0
Total	2 303	8	2 311

Accuracy

100.0%

Counts

2 311 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.9%	(.f64 (/.f64 (/.f64 (exp.f64 (.f64 x x)) (pow.f64 (PI.f64) #s(literal 5/18 binary64))) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))))
	53.8%	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)) (.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))) (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))))
▶	100.0%	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x)))))
▶	99.9%	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))))
▶	16.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))))))
▶	26.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)) (.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))) (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x) x))))))
	16.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))))))
▶	35.9%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))))

Compiler

Compiled 1 958 to 616 computations (68.5% saved)

simplify450.0ms (3%)

Memory

-21.9MiB live, 298.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x)))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))
✓	cost-diff	12800	(*.f64 (fabs.f64 x) (fabs.f64 x))
✓	cost-diff	12928	(pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))
✓	cost-diff	128	(.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))
✓	cost-diff	256	(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	12800	(*.f64 (fabs.f64 x) (fabs.f64 x))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))))
✓	cost-diff	128	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x) #s(literal 3/4 binary64))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	6400	(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
✓	cost-diff	0	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))))
✓	cost-diff	128	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x) #s(literal 3/4 binary64))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
✓	cost-diff	0	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x)))))
✓	cost-diff	128	(.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x) x))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	cost-diff	128	(+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))

Rules

8 028×	`accelerator-lowering-fma.f32`
8 028×	`accelerator-lowering-fma.f64`
6 358×	`-lowering-.f32`
6 358×	`-lowering-.f64`
2 802×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	2594
1	298	2022
2	1189	1710
3	6599	1612
0	8293	1586

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (exp (* x x)) (sqrt (PI))) (+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))))
(/ (exp (* x x)) (sqrt (PI)))
(exp (* x x))
(* x x)
x
(sqrt (PI))
(PI)
(+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))
(/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)
(/ 15/8 (* x (* x (* x (* x (* x x))))))
15/8
(* x (* x (* x (* x (* x x)))))
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))
(* (/ 1 x) (+ 1 (/ 1/2 (* x x))))
(/ 1 x)
1
(+ 1 (/ 1/2 (* x x)))
(/ 1/2 (* x x))
1/2
(* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))
3/4
(/ (/ (/ 1 (* x (* x x))) x) x)
(/ (/ 1 (* x (* x x))) x)
(/ 1 (* x (* x x)))
(* (/ (exp (* x x)) (sqrt (PI))) (+ (/ (/ 1/2 (* x x)) x) (+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))))
(/ (exp (* x x)) (sqrt (PI)))
(exp (* x x))
(* x x)
x
(sqrt (PI))
(PI)
(+ (/ (/ 1/2 (* x x)) x) (+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))))
(/ (/ 1/2 (* x x)) x)
(/ 1/2 (* x x))
1/2
(+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))
(/ 1 x)
1
(* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))
(+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))
(* (/ (/ 1 (* x (* x x))) x) 3/4)
(/ (/ 1 (* x (* x x))) x)
(/ 1 (* x (* x x)))
(* x (* x x))
3/4
(/ 15/8 (* x (* x (* x (* x (* x x))))))
15/8
(* x (* x (* x (* x (* x x)))))
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* (* (sqrt (/ 1 (PI))) (exp (* x x))) (+ (* (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))) (/ 1 (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))))
(* (sqrt (/ 1 (PI))) (exp (* x x)))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(exp (* x x))
(* x x)
x
(+ (* (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))) (/ 1 (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))
(+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x))))
(/ 1 (* x (* x x)))
(* x (* x x))
(/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))
(/ 1/8 (* x (* x (* x (* x (* x x))))))
1/8
(* x (* x (* x (* x (* x x)))))
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(/ 1 (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))
(+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))
(/ (/ 1 x) x)
(/ 1 x)
(* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))
(/ (/ 1/2 (* x x)) x)
(/ 1/2 (* x x))
1/2
(/ (- (/ 1/2 (* x x)) 1) x)
(- (/ 1/2 (* x x)) 1)
(* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))
(+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))
(* (/ (/ 1 (* x (* x x))) x) 3/4)
(/ (/ 1 (* x (* x x))) x)
3/4
(/ 15/8 (* x (* x (* x (* x (* x x))))))
15/8
(* (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x)))) (/ (- (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)) (* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))) (- (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (/ (+ (* x (* x x)) (* x 1/2)) (* x (* x (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))))
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))
(/ 1 (sqrt (PI)))
1
(sqrt (PI))
(PI)
(exp (* (fabs x) (fabs x)))
(* (fabs x) (fabs x))
(fabs x)
x
(/ (- (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)) (* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))) (- (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (/ (+ (* x (* x x)) (* x 1/2)) (* x (* x (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))))
(- (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)) (* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))))
(* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))
(/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)
(/ 15/8 (* x (* x (* x (* x (* x x))))))
15/8
(* x (* x (* x (* x (* x x)))))
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))
(+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))
(* (/ 1 x) (+ 1 (/ 1/2 (* x x))))
(/ 1 x)
(+ 1 (/ 1/2 (* x x)))
(/ 1/2 (* x x))
1/2
(* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))
3/4
(/ (/ (/ 1 (* x (* x x))) x) x)
(/ (/ 1 (* x (* x x))) x)
(/ 1 (* x (* x x)))
(- (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (/ (+ (* x (* x x)) (* x 1/2)) (* x (* x (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))
(+ (/ (+ (* x (* x x)) (* x 1/2)) (* x (* x (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))
(/ (+ (* x (* x x)) (* x 1/2)) (* x (* x (* x x))))
(+ (* x (* x x)) (* x 1/2))
(* x 1/2)
(* (* (/ 1 (* (cbrt (PI)) (pow (pow (pow (PI) 1/6) 1/3) 3))) (exp (* (fabs x) (fabs x)))) (/ (+ (* (- (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))) (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))))
(* (/ 1 (* (cbrt (PI)) (pow (pow (pow (PI) 1/6) 1/3) 3))) (exp (* (fabs x) (fabs x))))
(/ 1 (* (cbrt (PI)) (pow (pow (pow (PI) 1/6) 1/3) 3)))
1
(* (cbrt (PI)) (pow (pow (pow (PI) 1/6) 1/3) 3))
(cbrt (PI))
(PI)
(pow (pow (pow (PI) 1/6) 1/3) 3)
(pow (pow (PI) 1/6) 1/3)
(pow (PI) 1/6)
1/6
1/3
3
(exp (* (fabs x) (fabs x)))
(* (fabs x) (fabs x))
(fabs x)
x
(/ (+ (* (- (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))) (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))))
(+ (* (- (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))) (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x))))))
(* (- (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))) (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))
(- (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))) (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)))
(* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x)))
9/16
(* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))
(/ (/ (/ 1 (* x (* x x))) x) x)
(/ (/ 1 (* x (* x x))) x)
(/ 1 (* x (* x x)))
(* x (* x x))
(* x x)
(* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))
(/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)
(/ 15/8 (* x (* x (* x (* x (* x x))))))
15/8
(* x (* x (* x (* x (* x x)))))
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))
(/ (/ 1 x) x)
(/ 1 x)
(* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))
(/ (/ 1/2 (* x x)) x)
(/ 1/2 (* x x))
1/2
(/ (- (/ 1/2 (* x x)) 1) x)
(- (/ 1/2 (* x x)) 1)
(* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))))
(/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x)
(- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))
(* (/ (/ 1 (* x (* x x))) x) 3/4)
3/4
(+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x))))
(/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))
(/ 1/8 (* x (* x (* x (* x (* x x))))))
1/8
(* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))

Outputs
(* (/ (exp (* x x)) (sqrt (PI))) (+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))))
(.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))) x) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x)))
(/ (exp (* x x)) (sqrt (PI)))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(exp (* x x))
(exp.f64 (*.f64 x x))
(* x x)
(*.f64 x x)
x
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x))
(/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)
(/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(/ 15/8 (* x (* x (* x (* x (* x x))))))
(/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
15/8
#s(literal 15/8 binary64)
(* x (* x (* x (* x (* x x)))))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* x (* x (* x (* x x))))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* (/ 1 x) (+ 1 (/ 1/2 (* x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (/ 1/2 (* x x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/ 1/2 (* x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
3/4
#s(literal 3/4 binary64)
(/ (/ (/ 1 (* x (* x x))) x) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x x))
(/ (/ 1 (* x (* x x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)
(/ 1 (* x (* x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))
(* (/ (exp (* x x)) (sqrt (PI))) (+ (/ (/ 1/2 (* x x)) x) (+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))))
(.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))) x) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x)))
(/ (exp (* x x)) (sqrt (PI)))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(exp (* x x))
(exp.f64 (*.f64 x x))
(* x x)
(*.f64 x x)
x
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(+ (/ (/ 1/2 (* x x)) x) (+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x))
(/ (/ 1/2 (* x x)) x)
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))
(/ 1/2 (* x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x)))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))
(+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (/ (/ 1 (* x (* x x))) x) 3/4)
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (/ 1 (* x (* x x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)
(/ 1 (* x (* x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))
(* x (* x x))
(.f64 x (.f64 x x))
3/4
#s(literal 3/4 binary64)
(/ 15/8 (* x (* x (* x (* x (* x x))))))
(/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
15/8
#s(literal 15/8 binary64)
(* x (* x (* x (* x (* x x)))))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* x (* x (* x (* x x))))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
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(+ (* (- (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))) (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x))))))
(+.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) x)) (.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x))) (/.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -15/8 binary64) x) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))) x))
(* (- (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))) (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))
(.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) x)) (.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)))
(- (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))) (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)))
(.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -15/8 binary64) x) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x))
(* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x)))
(/.f64 (/.f64 #s(literal 9/16 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
9/16
#s(literal 9/16 binary64)
(* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ (/ (/ 1 (* x (* x x))) x) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 x x))
(/ (/ 1 (* x (* x x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)
(/ 1 (* x (* x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))
(/.f64 (/.f64 #s(literal 225/64 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)
(/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(/ 15/8 (* x (* x (* x (* x (* x x))))))
(/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
15/8
#s(literal 15/8 binary64)
(* x (* x (* x (* x (* x x)))))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* x (* x (* x (* x x))))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) x))
(/ (/ 1 x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) x)
(/ (/ 1/2 (* x x)) x)
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))
(/ 1/2 (* x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(/ (- (/ 1/2 (* x x)) 1) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)
(- (/ 1/2 (* x x)) 1)
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))))
(/.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -15/8 binary64) x) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))) x)
(/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -15/8 binary64) x) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x)
(- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -15/8 binary64) x) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* (/ (/ 1 (* x (* x x))) x) 3/4)
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
3/4
#s(literal 3/4 binary64)
(+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
(/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
(/ 1/8 (* x (* x (* x (* x (* x x))))))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) x) x) (*.f64 x x))
1/8
#s(literal 1/8 binary64)
(* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))
(/.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) x)) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal -15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x)

localize698.0ms (4.6%)

Memory

37.8MiB live, 622.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.4%	(cbrt.f64 (PI.f64))
✓	accuracy	97.5%	(pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))
✓	accuracy	17.6%	(/.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)))))
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	55.9%	(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)) (.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))) (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x)))))
✓	accuracy	27.7%	(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.4%	(/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	38.2%	(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
✓	accuracy	99.4%	(/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.4%	(/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Samples

264.0ms

256×

valid

Compiler

Compiled 3 005 to 89 computations (97% saved)

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-add: 52.0ms (24.5% of total)

ival-div: 51.0ms (24% of total)

ival-fabs: 40.0ms (18.8% of total)

ival-mult: 37.0ms (17.4% of total)

const: 7.0ms (3.3% of total)

ival-pow: 7.0ms (3.3% of total)

ival-sub: 5.0ms (2.4% of total)

ival-exp: 4.0ms (1.9% of total)

ival-cbrt: 3.0ms (1.4% of total)

ival-sqrt: 3.0ms (1.4% of total)

ival-pi: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series19.0ms (0.1%)

Memory

-24.3MiB live, 24.1MiB allocated

Counts

24 → 252

Calls

Call 1

Inputs
#<alt (+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))>
#<alt (* (/ 1 x) (+ 1 (/ 1/2 (* x x))))>
#<alt (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))>
#<alt (* (/ (exp (* x x)) (sqrt (PI))) (+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))))>
#<alt (+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))>
#<alt (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))>
#<alt (* (/ (/ 1 (* x (* x x))) x) 3/4)>
#<alt (* (/ (exp (* x x)) (sqrt (PI))) (+ (/ (/ 1/2 (* x x)) x) (+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))))>
#<alt (+ (* (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))) (/ 1 (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))>
#<alt (* (* (sqrt (/ 1 (PI))) (exp (* x x))) (+ (* (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))) (/ 1 (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))))>
#<alt (* (fabs x) (fabs x))>
#<alt (/ (+ (* x (* x x)) (* x 1/2)) (* x (* x (* x x))))>
#<alt (* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))>
#<alt (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))>
#<alt (pow (pow (pow (PI) 1/6) 1/3) 3)>
#<alt (* (/ 1 (* (cbrt (PI)) (pow (pow (pow (PI) 1/6) 1/3) 3))) (exp (* (fabs x) (fabs x))))>
#<alt (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x)))>
#<alt (sqrt (PI))>
#<alt (/ 1/2 (* x x))>
#<alt (/ 1 (* x (* x x)))>
#<alt (/ 15/8 (* x (* x (* x (* x (* x x))))))>
#<alt (/ (- (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)) (* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))) (- (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (/ (+ (* x (* x x)) (* x 1/2)) (* x (* x (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))))>
#<alt (/ (+ (* (- (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))) (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))))>
#<alt (cbrt (PI))>

Outputs
#<alt (/ 15/8 (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))>
#<alt (/ 1/2 (pow x 3))>
#<alt (/ (+ 1/2 (pow x 2)) (pow x 3))>
#<alt (/ (+ 1/2 (pow x 2)) (pow x 3))>
#<alt (/ (+ 1/2 (pow x 2)) (pow x 3))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ 3/4 (pow x 5))>
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))>
#<alt (* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))>
#<alt (/ 15/8 (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (pow x 4)))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (pow x 4)))) (pow x 7))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 3/4 (/ 1 (pow x 4)))) x)>
#<alt (/ (+ 1 (+ (* 3/4 (/ 1 (pow x 4))) (/ 15/8 (pow x 6)))) x)>
#<alt (/ (+ 1 (+ (* 3/4 (/ 1 (pow x 4))) (/ 15/8 (pow x 6)))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 3/4 (/ 1 (pow x 4)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) 1) x))>
#<alt (/ 15/8 (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ 3/4 (pow x 5))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ 3/4 (pow x 4))>
#<alt (/ 3/4 (pow x 4))>
#<alt (/ 3/4 (pow x 4))>
#<alt (/ 3/4 (pow x 4))>
#<alt (/ 3/4 (pow x 4))>
#<alt (/ 3/4 (pow x 4))>
#<alt (/ 3/4 (pow x 4))>
#<alt (/ 3/4 (pow x 4))>
#<alt (/ 3/4 (pow x 4))>
#<alt (/ 3/4 (pow x 4))>
#<alt (/ 3/4 (pow x 4))>
#<alt (/ 3/4 (pow x 4))>
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))>
#<alt (* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))>
#<alt (/ 15/8 (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))>
#<alt (* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))>
#<alt (/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)>
#<alt (/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)>
#<alt (* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))>
#<alt (* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (/ 1/2 (pow x 3))>
#<alt (/ (+ 1/2 (pow x 2)) (pow x 3))>
#<alt (/ (+ 1/2 (pow x 2)) (pow x 3))>
#<alt (/ (+ 1/2 (pow x 2)) (pow x 3))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (/ 225/64 (pow x 14))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (* (sqrt (/ 1 (PI))) (exp (pow (fabs x) 2)))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 9/16 (pow x 10))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 6))>
#<alt (/ 15/8 (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))>
#<alt (/ 15/8 (pow x 7))>
#<alt (/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))>
#<alt (/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))>

Calls

63 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(/ (+ (* x (* x x)) (* x 1/2)) (* x (* x (* x x))))
1.0ms	x	@	-inf	(* (/ (exp (* x x)) (sqrt (PI))) (+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))))
1.0ms	x	@	inf	(* (/ (exp (* x x)) (sqrt (PI))) (+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))))
0.0ms	x	@	0	(* (/ (exp (* x x)) (sqrt (PI))) (+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))))
0.0ms	x	@	0	(* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))

rewrite549.0ms (3.6%)

Memory

21.7MiB live, 888.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 428×	`-lowering-.f32`
5 428×	`-lowering-.f64`
4 294×	`/-lowering-/.f32`
4 294×	`/-lowering-/.f64`
4 224×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	620
1	647	404
0	8725	389

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 022

Calls

Call 1

Inputs
(+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))
(* (/ 1 x) (+ 1 (/ 1/2 (* x x))))
(* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))
(* (/ (exp (* x x)) (sqrt (PI))) (+ (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))))
(+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))
(* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))
(* (/ (/ 1 (* x (* x x))) x) 3/4)
(* (/ (exp (* x x)) (sqrt (PI))) (+ (/ (/ 1/2 (* x x)) x) (+ (/ 1 x) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))))
(+ (* (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))) (/ 1 (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x)))))))))
(* (* (sqrt (/ 1 (PI))) (exp (* x x))) (+ (* (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))) (/ 1 (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x))))) (* (/ 1 x) (+ (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))))))
(* (fabs x) (fabs x))
(/ (+ (* x (* x x)) (* x 1/2)) (* x (* x (* x x))))
(* (/ 1 (sqrt (PI))) (exp (* (fabs x) (fabs x))))
(* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))
(pow (pow (pow (PI) 1/6) 1/3) 3)
(* (/ 1 (* (cbrt (PI)) (pow (pow (pow (PI) 1/6) 1/3) 3))) (exp (* (fabs x) (fabs x))))
(* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x)))
(sqrt (PI))
(/ 1/2 (* x x))
(/ 1 (* x (* x x)))
(/ 15/8 (* x (* x (* x (* x (* x x))))))
(/ (- (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x)) (* (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))) (+ (* (/ 1 x) (+ 1 (/ 1/2 (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x))))) (- (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (+ (/ (+ (* x (* x x)) (* x 1/2)) (* x (* x (* x x)))) (* 3/4 (/ (/ (/ 1 (* x (* x x))) x) x)))))
(/ (+ (* (- (* 9/16 (* (/ (/ (/ 1 (* x (* x x))) x) x) (/ (/ (/ 1 (* x (* x x))) x) x))) (* (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x) (/ (/ 15/8 (* x (* x (* x (* x (* x x)))))) x))) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ 1 (* x (* x x))) (/ (/ 1/8 (* x (* x (* x (* x (* x x)))))) (* x (* x x)))))) (* (/ (- (* (/ (/ 1 (* x (* x x))) x) 3/4) (/ 15/8 (* x (* x (* x (* x (* x x))))))) x) (+ (/ (/ 1 x) x) (* (/ (/ 1/2 (* x x)) x) (/ (- (/ 1/2 (* x x)) 1) x)))))
(cbrt (PI))

Outputs
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(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1 binary64)))))) (-.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 225/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (/.f64 x (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1 binary64)))))) (/.f64 x (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))))
(.f64 (/.f64 (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1 binary64)))))) (-.f64 (/.f64 (/.f64 #s(literal 9/16 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 225/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (/.f64 x (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1 binary64))))))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)))
(cbrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))

simplify484.0ms (3.2%)

Memory

-17.5MiB live, 874.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 582×	`accelerator-lowering-fma.f32`
14 582×	`accelerator-lowering-fma.f64`
5 382×	`-lowering-.f32`
5 382×	`-lowering-.f64`
2 956×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	2914
1	367	2698
2	952	2624
3	2781	2510
4	7556	2510
0	8249	2436

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(/ 15/8 (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))
(/ 1/2 (pow x 3))
(/ (+ 1/2 (pow x 2)) (pow x 3))
(/ (+ 1/2 (pow x 2)) (pow x 3))
(/ (+ 1/2 (pow x 2)) (pow x 3))
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ 3/4 (pow x 5))
(/ 3/4 (pow x 5))
(/ 3/4 (pow x 5))
(/ 3/4 (pow x 5))
(/ 3/4 (pow x 5))
(/ 3/4 (pow x 5))
(/ 3/4 (pow x 5))
(/ 3/4 (pow x 5))
(/ 3/4 (pow x 5))
(/ 3/4 (pow x 5))
(/ 3/4 (pow x 5))
(/ 3/4 (pow x 5))
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))
(/ 15/8 (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (pow x 4)))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (pow x 4)))) (pow x 7))
(/ 1 x)
(/ (+ 1 (* 3/4 (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (* 3/4 (/ 1 (pow x 4))) (/ 15/8 (pow x 6)))) x)
(/ (+ 1 (+ (* 3/4 (/ 1 (pow x 4))) (/ 15/8 (pow x 6)))) x)
(/ 1 x)
(/ (+ 1 (* 3/4 (/ 1 (pow x 4)))) x)
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) 1) x))
(/ 15/8 (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ 3/4 (pow x 5))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/ 3/4 (pow x 5))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/ 3/4 (pow x 4))
(/ 3/4 (pow x 4))
(/ 3/4 (pow x 4))
(/ 3/4 (pow x 4))
(/ 3/4 (pow x 4))
(/ 3/4 (pow x 4))
(/ 3/4 (pow x 4))
(/ 3/4 (pow x 4))
(/ 3/4 (pow x 4))
(/ 3/4 (pow x 4))
(/ 3/4 (pow x 4))
(/ 3/4 (pow x 4))
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))
(/ 15/8 (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))
(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 3))
(/ (+ 1/2 (pow x 2)) (pow x 3))
(/ (+ 1/2 (pow x 2)) (pow x 3))
(/ (+ 1/2 (pow x 2)) (pow x 3))
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) 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)))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(/ 225/64 (pow x 14))
(* (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)))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 9/16 (pow x 10))
(/ 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 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 6))
(/ 15/8 (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))
(/ 15/8 (pow x 7))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)
(/ 1 x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))

Outputs
(/ 15/8 (pow x 7))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (pow.f64 x #s(literal 7 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) 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))) x)
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (.f64 x x))) (.f64 x x)) #s(literal 1/2 binary64)))) x)
(/ 1/2 (pow x 3))
(/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))
(/ (+ 1/2 (pow x 2)) (pow x 3))
(/.f64 (+.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)))
(/ (+ 1/2 (pow x 2)) (pow x 3))
(/.f64 (+.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)))
(/ (+ 1/2 (pow x 2)) (pow x 3))
(/.f64 (+.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(/ 3/4 (pow x 5))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ 3/4 (pow x 5))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ 3/4 (pow x 5))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ 3/4 (pow x 5))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ 3/4 (pow x 5))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ 3/4 (pow x 5))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ 3/4 (pow x 5))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ 3/4 (pow x 5))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ 3/4 (pow x 5))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ 3/4 (pow x 5))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ 3/4 (pow x 5))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ 3/4 (pow x 5))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 7 binary64))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 x (*.f64 x #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 21/8 binary64) (.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 (+.f64 #s(literal 35/16 binary64) (.f64 (.f64 x x) #s(literal 35/16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 15/8 binary64) (.f64 x (*.f64 x #s(literal 21/8 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (exp.f64 (.f64 x x)) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x x)))))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (-.f64 (exp.f64 (.f64 x x)) (+.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 #s(literal -15/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) (*.f64 x x))))))) x)
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))) x))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))) x)
(* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))))) x))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (exp.f64 (.f64 x x)) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x x)))))) x)
(* -1 (/ (+ (* -15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) (+ (* -3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI)))))))) x))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (-.f64 (exp.f64 (.f64 x x)) (+.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 #s(literal -15/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) (*.f64 x x))))))) x)
(/ 15/8 (pow x 7))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (pow x 4)))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (pow x 4)))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 3/4 (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(/ (+ 1 (+ (* 3/4 (/ 1 (pow x 4))) (/ 15/8 (pow x 6)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) x)
(/ (+ 1 (+ (* 3/4 (/ 1 (pow x 4))) (/ 15/8 (pow x 6)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 3/4 (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) x)
(/ 15/8 (pow x 7))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(/ 3/4 (pow x 5))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ 3/4 (pow x 5))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 5))
(/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ 3/4 (pow x 4))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 3/4 (pow x 4))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 3/4 (pow x 4))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 3/4 (pow x 4))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 3/4 (pow x 4))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 3/4 (pow x 4))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 3/4 (pow x 4))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 3/4 (pow x 4))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 3/4 (pow x 4))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 3/4 (pow x 4))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 3/4 (pow x 4))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 3/4 (pow x 4))
(/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* 15/8 (* (/ 1 (pow x 7)) (sqrt (/ 1 (PI)))))
(*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 7 binary64))))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* 21/8 (* (pow x 2) (sqrt (/ 1 (PI)))))) (pow x 7))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 x (*.f64 x #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 21/8 (sqrt (/ 1 (PI))))))) (pow x 7))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 21/8 binary64) (.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ (* 15/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 21/8 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 35/16 (sqrt (/ 1 (PI)))) (* 35/16 (* (pow x 2) (sqrt (/ 1 (PI)))))))))) (pow x 7))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 (+.f64 #s(literal 35/16 binary64) (.f64 (.f64 x x) #s(literal 35/16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 15/8 binary64) (.f64 x (*.f64 x #s(literal 21/8 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (.f64 x x)) x))
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))) x)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2))))) x)
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (exp.f64 (.f64 x x)) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x x)))))) x)
(/ (+ (* 1/2 (* (/ (exp (pow x 2)) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 3/4 (* (/ (exp (pow x 2)) (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* 15/8 (* (/ (exp (pow x 2)) (pow x 6)) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (exp (pow x 2)))))) x)
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (-.f64 (exp.f64 (.f64 x x)) (+.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 #s(literal -15/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (/.f64 (exp.f64 (.f64 x x)) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) (*.f64 x x))))))) x)
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(/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ 15/8 (pow x 6))
(/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ 15/8 (pow x 7))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (pow.f64 x #s(literal 7 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) 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))) x)
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (.f64 x x))) (.f64 x x)) #s(literal 1/2 binary64)))) x)
(/ 15/8 (pow x 7))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* 3/4 (pow x 2))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* 1/2 (pow x 2))))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/4 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 15/8 (* (pow x 2) (+ 3/4 (* (pow x 2) (+ 1/2 (pow x 2)))))) (pow x 7))
(/.f64 (+.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal 1/2 binary64))))))) (pow.f64 x #s(literal 7 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(/ (+ 1 (+ (/ 3/4 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 15/8 (/ 1 (pow x 6)))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 15/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 3/4 (/ 1 (pow x 2)))) (pow x 2))) 1) 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))) x)
(* -1 (/ (- (* -1 (/ (+ 3/4 (* 15/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 1/2 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (.f64 x x))) (.f64 x x)) #s(literal 1/2 binary64)))) x)

eval506.0ms (3.3%)

Memory: 50.3MiB live, 1 026.9MiB allocated
Compiler: Compiled 347 318 to 7 204 computations (97.9% saved)

prune337.0ms (2.2%)

Memory

-16.7MiB live, 584.3MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	2 632	17	2 649
Fresh	2	1	3
Picked	5	0	5
Done	0	0	0
Total	2 639	18	2 657

Accuracy

100.0%

Counts

2 657 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.9%	(/.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1 binary64)))))))) (exp.f64 (.f64 x x))) (sqrt.f64 (PI.f64)))
	0.8%	(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 21/8 binary64) (.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
	1.2%	(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 x (*.f64 x #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 7 binary64)))
	98.7%	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.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))) x))
	98.6%	(.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))) x))
	100.0%	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (.f64 x x))) (.f64 x x)) #s(literal 1/2 binary64)))) x))
	98.5%	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) x))
	51.5%	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1 binary64)) x)) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x) x)))))
	35.9%	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x) x)))))
	100.0%	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) x)))
	98.7%	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x)))
	98.6%	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)))
	16.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x))))))
	16.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (exp.f64 (.f64 x x))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))))))
	15.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/36 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/36 binary64)) #s(literal 3 binary64))))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x))))))
	26.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x)) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1 binary64)) x)) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))) (-.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))))))
	16.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 9/16 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) x))) (.f64 (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (/.f64 (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) #s(literal 3/4 binary64)) (/.f64 #s(literal 15/8 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))))))
	1.9%	(*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 7 binary64))))

Compiler

Compiled 5 623 to 811 computations (85.6% saved)

regimes39.0ms (0.3%)

Memory

0.3MiB live, 38.1MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 7 binary64))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 x (*.f64 x #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(.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))) x))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 21/8 binary64) (.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.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))) x))
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(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (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 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 15/8 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)))) x))

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))))))

11.0ms

(fabs.f64 x)

11.0ms

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)

regimes4.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 7 binary64))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 x (*.f64 x #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(.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))) x))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 21/8 binary64) (.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.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))) x))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 x (.f64 x (.f64 x x))))) x)))

Outputs

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 7 binary64))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 x (*.f64 x #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(.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))) x))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 21/8 binary64) (.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (pow.f64 x #s(literal 7 binary64)))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.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))) x))

Outputs
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.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))) x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 7 binary64))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 x (*.f64 x #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(.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))) x))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 21/8 binary64) (.f64 (*.f64 x x) #s(literal 35/16 binary64)))))) (pow.f64 x #s(literal 7 binary64)))

Outputs
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) x)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 7 binary64))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (.f64 x (*.f64 x #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(.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))) x))

Outputs
(.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))) x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Memory

-33.9MiB live, 3.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 7 binary64))))

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

(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 15/8 binary64) (*.f64 x (*.f64 x #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 7 binary64)))

Outputs
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) x))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 7 binary64))))

Outputs
(*.f64 #s(literal 15/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 7 binary64))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
1.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify15.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative_binary64`
54×	`+-commutative_binary64`
42×	`sub-neg_binary64`
36×	`neg-sub0_binary64`
36×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	140
1	79	140
2	105	140
3	133	140
4	164	140
5	185	140
6	202	140
7	210	140
8	214	140
9	215	140

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (7.8%)

Memory

0.8MiB live, 559.5MiB allocated

Rules

14 582×	`accelerator-lowering-fma.f32`
14 582×	`accelerator-lowering-fma.f64`
5 382×	`-lowering-.f32`
5 382×	`-lowering-.f64`
4 794×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	146
1	288	99
2	2433	75
0	9220	69
0	12	40
1	70	25
2	461	20
3	2325	17
0	8232	17
0	160	2914
1	367	2698
2	952	2624
3	2781	2510
4	7556	2510
0	8249	2436
0	70	450
1	510	295
2	7147	295
0	8273	280

Stop Event

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

Compiler

Compiled 583 to 301 computations (48.4% saved)

preprocess49.0ms (0.3%)

Memory: 20.5MiB live, 96.1MiB allocated
Remove: (abs x)
Compiler: Compiled 554 to 204 computations (63.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	51	140
1	79	140
2	105	140
3	133	140
4	164	140
5	185	140
6	202	140
7	210	140
8	214	140
9	215	140

Iter	Nodes	Cost
0	51	140
1	79	140
2	105	140
3	133	140
4	164	140
5	185	140
6	202	140
7	210	140
8	214	140
9	215	140

analyze0.0ms (0%)

sample2.7s (17.6%)

preprocess441.0ms (2.9%)

explain663.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify613.0ms (4%)

localize109.0ms (0.7%)

series14.0ms (0.1%)

rewrite206.0ms (1.4%)

simplify15.0ms (0.1%)

eval139.0ms (0.9%)

prune127.0ms (0.8%)

simplify571.0ms (3.8%)

localize443.0ms (2.9%)

series34.0ms (0.2%)

rewrite546.0ms (3.6%)

simplify397.0ms (2.6%)

eval611.0ms (4%)

prune366.0ms (2.4%)

simplify375.0ms (2.5%)

localize588.0ms (3.9%)

series85.0ms (0.6%)

rewrite492.0ms (3.2%)

simplify321.0ms (2.1%)

eval743.0ms (4.9%)

prune278.0ms (1.8%)

simplify450.0ms (3%)

localize698.0ms (4.6%)

series19.0ms (0.1%)

rewrite549.0ms (3.6%)

simplify484.0ms (3.2%)

eval506.0ms (3.3%)

prune337.0ms (2.2%)

regimes39.0ms (0.3%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

simplify15.0ms (0.1%)

soundness1.2s (7.8%)

preprocess49.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	51	140
1	79	140
2	105	140
3	133	140
4	164	140
5	185	140
6	202	140
7	210	140
8	214	140
9	215	140