Metrics for Logistic function

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze62.0ms (0.9%)

Memory

-0.5MiB live, 96.6MiB allocated; 29ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	24.7%	75.3%	0%	0%	0%	0
0%	0%	24.7%	75.3%	0%	0%	0%	1
0%	0%	24.7%	75.3%	0%	0%	0%	2
0%	0%	24.7%	75.3%	0%	0%	0%	3
0%	0%	24.7%	75.3%	0%	0%	0%	4
50%	12.4%	12.4%	75.3%	0%	0%	0%	5
50%	12.4%	12.4%	75.3%	0%	0%	0%	6
75%	18.5%	6.2%	75.3%	0%	0%	0%	7
75%	18.5%	6.2%	75.3%	0%	0%	0%	8
87.5%	21.6%	3.1%	75.3%	0%	0%	0%	9
87.5%	21.6%	3.1%	75.3%	0%	0%	0%	10
93.7%	23.2%	1.5%	75.3%	0%	0%	0%	11
93.7%	23.2%	1.5%	75.3%	0%	0%	0%	12

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.3s (20%)

Memory

18.0MiB live, 1 769.2MiB allocated; 377ms collecting garbage

Samples

909.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 590.0ms

const: 140.0ms (23.7% of total)

ival-div: 121.0ms (20.5% of total)

ival-exp: 120.0ms (20.3% of total)

ival-neg: 71.0ms (12% of total)

ival-add: 61.0ms (10.3% of total)

ival-<=: 50.0ms (8.5% of total)

ival-and: 11.0ms (1.9% of total)

exact: 10.0ms (1.7% of total)

adjust: 3.0ms (0.5% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain141.0ms (2.1%)

Memory

7.3MiB live, 151.9MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
2	2	(0.017162686213850975 3.498089427012019e-5)	2	(1.5797148942947388 0.03723631426692009)	`(exp.f32 (/.f32 (neg.f32 x) s))`
0	0	-	0	-	`s`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
0	0	-	0	-	`(neg.f32 x)`
0	0	-	0	-	`(/.f32 (neg.f32 x) s)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 x) s))`	sensitivity	2	4

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	2	4	250

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

83.0ms

512×

valid

Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 22.0ms (68.5% of total)

ival-exp: 4.0ms (12.5% of total)

ival-neg: 3.0ms (9.3% of total)

ival-add: 2.0ms (6.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess197.0ms (3%)

Memory

13.2MiB live, 102.5MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	41
1	50	41
2	104	41
3	247	41
4	883	41
0	8	9
0	13	9
1	21	9
2	43	9
3	118	9
4	427	9
5	4713	9
0	8515	9

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify238.0ms (3.6%)

Memory

-16.7MiB live, 166.5MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f32 (neg.f32 x) s)
cost-diff	0	(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff	0	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	13	30
1	21	30
2	43	30
3	118	30
4	427	30
5	4713	30
0	8515	30

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s

localize55.0ms (0.8%)

Memory

-16.3MiB live, 29.9MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f32 x)
accuracy	0.0234375	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.0390625	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy	0.06027520527994348	(exp.f32 (/.f32 (neg.f32 x) s))

Samples

14.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

ival-div: 3.0ms (37.6% of total)

ival-exp: 2.0ms (25% of total)

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

5 → 29

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)

Outputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (/ x s))
(* -1 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
2.0ms	s	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
2.0ms	x	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
1.0ms	s	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
1.0ms	x	@	-inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))

simplify163.0ms (2.4%)

Memory

-1.6MiB live, 142.3MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	377
1	435	345
2	1799	341
0	9323	313

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (/ x s))
(* -1 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))

Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* -1 x)
(neg.f32 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))

rewrite43.0ms (0.7%)

Memory

1.1MiB live, 47.5MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	27
1	43	27
0	254	27

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 46

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)

Outputs
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (-.f32 (.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 x) s)
(/.f32 x (neg.f32 s))
(neg.f32 (/.f32 x s))
(neg.f32 x)

eval6.0ms (0.1%)

Memory: 11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 143 to 253 computations (77.9% saved)

prune6.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	60	7	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	8	68

Accuracy

100.0%

Counts

68 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	53.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	52.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
▶	54.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
▶	40.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	65.4%	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
▶	30.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶	36.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 293 to 222 computations (24.2% saved)

simplify179.0ms (2.7%)

Memory

-8.1MiB live, 138.0MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)
cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
cost-diff	0	(/.f32 x s)
cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 x s))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
cost-diff	0	(/.f32 x s)
cost-diff	0	(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
cost-diff	0	(+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)))
cost-diff	1	(*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))
cost-diff	2	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	255
0	58	255
1	98	253
2	243	248
3	865	248
4	4922	248
0	8361	248

Stop Event

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

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 3 binary32)
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(expm1.f32 (/.f32 (neg.f32 x) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
#s(literal 2 binary32)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)
(fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x)
#s(literal -1/2 binary32)
(*.f32 x (/.f32 x s))
x
(/.f32 x s)
s

Outputs
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/.f32 (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (-.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -3 binary32) s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -3 binary32) s)) #s(literal -1 binary32)))
#s(literal 1 binary32)
(+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))
(-.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -3 binary32) s)) #s(literal -1 binary32))
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -3 binary32) s))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))
(*.f32 (/.f32 #s(literal -3 binary32) s) x)
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 3 binary32)
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(expm1.f32 (/.f32 (neg.f32 x) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))
#s(literal 2 binary32)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)
(/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)
(fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x)
(fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(*.f32 x (/.f32 x s))
(*.f32 (/.f32 x s) x)
x
(/.f32 x s)
s

localize169.0ms (2.5%)

Memory

-19.6MiB live, 123.3MiB allocated; 20ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.045253759768442016	(fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x)
accuracy	0.0703125	(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)
accuracy	0.08984375	(*.f32 x (/.f32 x s))
accuracy	12.937394552866806	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
accuracy	0.0	(/.f32 x s)
accuracy	0.00390625	(-.f32 #s(literal 2 binary32) (/.f32 x s))
accuracy	0.0390625	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
accuracy	13.85304939397464	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
accuracy	0.0	(/.f32 x s)
accuracy	0.08644215798095366	(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
accuracy	12.771513890784606	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
accuracy	11.171549293465215	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy	0.0546875	(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)))
accuracy	0.06027520527994348	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.15234375	(*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))
accuracy	1.2537960735004194	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))

Samples

41.0ms	178×	0	valid
15.0ms	78×	0	exit

Compiler

Compiled 222 to 32 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 18.0ms (43.9% of total)

ival-mult: 8.0ms (19.5% of total)

ival-add: 5.0ms (12.2% of total)

ival-exp: 4.0ms (9.7% of total)

ival-expm1: 2.0ms (4.9% of total)

ival-sub: 2.0ms (4.9% of total)

exact: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

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

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

series42.0ms (0.6%)

Memory

-0.7MiB live, 44.6MiB allocated; 9ms collecting garbage

Counts

18 → 80

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)))
(+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 x (/.f32 x s))
(fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x)

Outputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -3 (/ x s))
(+ 1/2 (* 3/4 (/ x s)))
(+ 1/2 (* x (+ (* -9/16 (/ (pow x 2) (pow s 3))) (* 3/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 81/160 (/ (pow x 2) (pow s 5))) (* 9/16 (/ 1 (pow s 3))))) (* 3/4 (/ 1 s)))))
2
(+ 2 (* -3 (/ x s)))
(+ 2 (* x (- (* 9/2 (/ x (pow s 2))) (* 3 (/ 1 s)))))
(+ 2 (* x (- (* x (+ (* -9/2 (/ x (pow s 3))) (* 9/2 (/ 1 (pow s 2))))) (* 3 (/ 1 s)))))
(/ x s)
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ (pow x 2) s)
x
(* x (+ 1 (* -1/2 (/ x s))))
(/ (+ 1 (* (exp (* -1 (/ x s))) (- (exp (* -1 (/ x s))) 1))) (+ 1 (exp (* -3 (/ x s)))))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(+ 1 (exp (* -3 (/ x s))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(+ 1 (exp (* -1 (/ x s))))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(exp (* -1 (/ x s)))
(* -1/2 (/ (pow x 2) s))
(* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (- (* 2 s) x) s)
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) s)
(- (+ 1/2 (* -1/2 (/ x s))) (* -3/4 (/ x s)))
(- (+ 1/2 (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* 1/2 (pow x 2)) (pow x 2)) (pow s 2))))) (+ (* -3/2 (/ (* x (- (* -1/2 x) (* -3/4 x))) (pow s 2))) (+ (* -3/4 (/ x s)) (* 9/8 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/2 (/ x s)) (+ (* 1/2 (/ (+ (* -1 (pow x 3)) (* -1/6 (pow x 3))) (pow s 3))) (* 1/2 (/ (+ (* 1/2 (pow x 2)) (pow x 2)) (pow s 2)))))) (+ (* -3/2 (/ (* x (- (* -1/2 x) (* -3/4 x))) (pow s 2))) (+ (* -3/2 (/ (* x (- (* 1/2 (+ (* 1/2 (pow x 2)) (pow x 2))) (+ (* -3/2 (* x (- (* -1/2 x) (* -3/4 x)))) (* 9/8 (pow x 2))))) (pow s 3))) (+ (* -9/8 (/ (pow x 3) (pow s 3))) (+ (* -3/4 (/ x s)) (+ (* 9/8 (/ (pow x 2) (pow s 2))) (* 9/4 (/ (* (pow x 2) (- (* -1/2 x) (* -3/4 x))) (pow s 3)))))))))
(- (+ 1/2 (* -1 (/ (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2))) (pow s 2)))) (* -3/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -9/8 (pow x 3)) (+ (* 3/2 (* x (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2))))) (* 27/16 (pow x 3)))) (pow s 3)))) (+ (* -9/8 (/ (pow x 2) (pow s 2))) (+ (* -3/4 (/ x s)) (* 9/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -3 (/ x s)) (* 9/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -9/2 (/ (pow x 3) (pow s 3))) (+ (* -3 (/ x s)) (* 9/2 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ x (* -1/2 (/ (pow x 2) s)))
(+ 1/2 (* -1 (/ (- (* 1/2 x) (* 3/4 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* 1/2 (pow x 2)) (pow x 2))) (+ (* 9/8 (pow x 2)) (* 3/2 (* x (- (* 1/2 x) (* 3/4 x)))))) s)) (* 1/2 x)) (* 3/4 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* 1/6 (pow x 3)) (pow x 3))) (+ (* 9/8 (pow x 3)) (+ (* 3/2 (* x (- (* 1/2 (+ (* 1/2 (pow x 2)) (pow x 2))) (+ (* 9/8 (pow x 2)) (* 3/2 (* x (- (* 1/2 x) (* 3/4 x)))))))) (* 9/4 (* (pow x 2) (- (* 1/2 x) (* 3/4 x))))))) s)) (* 1/2 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 9/8 (pow x 2)) (* 3/2 (* x (- (* 1/2 x) (* 3/4 x)))))) s)) (* 1/2 x)) (* 3/4 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -9/8 (/ (pow x 2) s)) (* 9/8 (/ (pow x 2) s))) (* 3/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -27/16 (/ (pow x 3) s)) (+ (* -3/2 (/ (* x (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2)))) s)) (* 9/8 (/ (pow x 3) s)))) (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2)))) s)) (* 3/4 x)) s)))
(+ 2 (* -1 (/ (+ (* -9/2 (/ (pow x 2) s)) (* 3 x)) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -9/2 (/ (pow x 3) s)) (* 9/2 (pow x 2))) s)) (* 3 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	s	@	0	((* (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (* (exp (/ (neg x) s)) (- (exp (/ (neg x) s)) 1)) 1)) (* (/ (neg x) s) 3) (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (exp (* (/ (neg x) s) 3)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/ (+ (* -1/2 (* x (/ x s))) x) s) (exp (/ (neg x) s)) (* x (/ x s)) (+ (* -1/2 (* x (/ x s))) x))
5.0ms	x	@	0	((* (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (* (exp (/ (neg x) s)) (- (exp (/ (neg x) s)) 1)) 1)) (* (/ (neg x) s) 3) (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (exp (* (/ (neg x) s) 3)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/ (+ (* -1/2 (* x (/ x s))) x) s) (exp (/ (neg x) s)) (* x (/ x s)) (+ (* -1/2 (* x (/ x s))) x))
4.0ms	x	@	inf	((* (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (* (exp (/ (neg x) s)) (- (exp (/ (neg x) s)) 1)) 1)) (* (/ (neg x) s) 3) (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (exp (* (/ (neg x) s) 3)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/ (+ (* -1/2 (* x (/ x s))) x) s) (exp (/ (neg x) s)) (* x (/ x s)) (+ (* -1/2 (* x (/ x s))) x))
4.0ms	s	@	-inf	((* (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (* (exp (/ (neg x) s)) (- (exp (/ (neg x) s)) 1)) 1)) (* (/ (neg x) s) 3) (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (exp (* (/ (neg x) s) 3)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/ (+ (* -1/2 (* x (/ x s))) x) s) (exp (/ (neg x) s)) (* x (/ x s)) (+ (* -1/2 (* x (/ x s))) x))
4.0ms	x	@	-inf	((* (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (* (exp (/ (neg x) s)) (- (exp (/ (neg x) s)) 1)) 1)) (* (/ (neg x) s) 3) (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (exp (* (/ (neg x) s) 3)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/ (+ (* -1/2 (* x (/ x s))) x) s) (exp (/ (neg x) s)) (* x (/ x s)) (+ (* -1/2 (* x (/ x s))) x))

simplify215.0ms (3.2%)

Memory

59.4MiB live, 221.1MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	1360
1	1318	1220
2	5499	1190
0	8068	1108

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 79

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(* -3 (/ x s))
(+ 1/2 (* 3/4 (/ x s)))
(+ 1/2 (* x (+ (* -9/16 (/ (pow x 2) (pow s 3))) (* 3/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 81/160 (/ (pow x 2) (pow s 5))) (* 9/16 (/ 1 (pow s 3))))) (* 3/4 (/ 1 s)))))
2
(+ 2 (* -3 (/ x s)))
(+ 2 (* x (- (* 9/2 (/ x (pow s 2))) (* 3 (/ 1 s)))))
(+ 2 (* x (- (* x (+ (* -9/2 (/ x (pow s 3))) (* 9/2 (/ 1 (pow s 2))))) (* 3 (/ 1 s)))))
(/ x s)
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ (pow x 2) s)
x
(* x (+ 1 (* -1/2 (/ x s))))
(/ (+ 1 (* (exp (* -1 (/ x s))) (- (exp (* -1 (/ x s))) 1))) (+ 1 (exp (* -3 (/ x s)))))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(+ 1 (exp (* -3 (/ x s))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(+ 1 (exp (* -1 (/ x s))))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(exp (* -1 (/ x s)))
(* -1/2 (/ (pow x 2) s))
(* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (- (* 2 s) x) s)
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) s)
(- (+ 1/2 (* -1/2 (/ x s))) (* -3/4 (/ x s)))
(- (+ 1/2 (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* 1/2 (pow x 2)) (pow x 2)) (pow s 2))))) (+ (* -3/2 (/ (* x (- (* -1/2 x) (* -3/4 x))) (pow s 2))) (+ (* -3/4 (/ x s)) (* 9/8 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/2 (/ x s)) (+ (* 1/2 (/ (+ (* -1 (pow x 3)) (* -1/6 (pow x 3))) (pow s 3))) (* 1/2 (/ (+ (* 1/2 (pow x 2)) (pow x 2)) (pow s 2)))))) (+ (* -3/2 (/ (* x (- (* -1/2 x) (* -3/4 x))) (pow s 2))) (+ (* -3/2 (/ (* x (- (* 1/2 (+ (* 1/2 (pow x 2)) (pow x 2))) (+ (* -3/2 (* x (- (* -1/2 x) (* -3/4 x)))) (* 9/8 (pow x 2))))) (pow s 3))) (+ (* -9/8 (/ (pow x 3) (pow s 3))) (+ (* -3/4 (/ x s)) (+ (* 9/8 (/ (pow x 2) (pow s 2))) (* 9/4 (/ (* (pow x 2) (- (* -1/2 x) (* -3/4 x))) (pow s 3)))))))))
(- (+ 1/2 (* -1 (/ (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2))) (pow s 2)))) (* -3/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -9/8 (pow x 3)) (+ (* 3/2 (* x (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2))))) (* 27/16 (pow x 3)))) (pow s 3)))) (+ (* -9/8 (/ (pow x 2) (pow s 2))) (+ (* -3/4 (/ x s)) (* 9/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -3 (/ x s)) (* 9/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -9/2 (/ (pow x 3) (pow s 3))) (+ (* -3 (/ x s)) (* 9/2 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ x (* -1/2 (/ (pow x 2) s)))
(+ 1/2 (* -1 (/ (- (* 1/2 x) (* 3/4 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* 1/2 (pow x 2)) (pow x 2))) (+ (* 9/8 (pow x 2)) (* 3/2 (* x (- (* 1/2 x) (* 3/4 x)))))) s)) (* 1/2 x)) (* 3/4 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* 1/6 (pow x 3)) (pow x 3))) (+ (* 9/8 (pow x 3)) (+ (* 3/2 (* x (- (* 1/2 (+ (* 1/2 (pow x 2)) (pow x 2))) (+ (* 9/8 (pow x 2)) (* 3/2 (* x (- (* 1/2 x) (* 3/4 x)))))))) (* 9/4 (* (pow x 2) (- (* 1/2 x) (* 3/4 x))))))) s)) (* 1/2 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 9/8 (pow x 2)) (* 3/2 (* x (- (* 1/2 x) (* 3/4 x)))))) s)) (* 1/2 x)) (* 3/4 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -9/8 (/ (pow x 2) s)) (* 9/8 (/ (pow x 2) s))) (* 3/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -27/16 (/ (pow x 3) s)) (+ (* -3/2 (/ (* x (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2)))) s)) (* 9/8 (/ (pow x 3) s)))) (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2)))) s)) (* 3/4 x)) s)))
(+ 2 (* -1 (/ (+ (* -9/2 (/ (pow x 2) s)) (* 3 x)) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -9/2 (/ (pow x 3) s)) (* 9/2 (pow x 2))) s)) (* 3 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))

Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(* -3 (/ x s))
(*.f32 #s(literal -3 binary32) (/.f32 x s))
(+ 1/2 (* 3/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -9/16 (/ (pow x 2) (pow s 3))) (* 3/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -9/16 binary32) (fma.f32 (/.f32 #s(literal 3/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 81/160 (/ (pow x 2) (pow s 5))) (* 9/16 (/ 1 (pow s 3))))) (* 3/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 81/160 binary32) (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) (/.f32 #s(literal -9/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 3/4 binary32) s) x #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -3 (/ x s)))
(fma.f32 #s(literal -3 binary32) (/.f32 x s) #s(literal 2 binary32))
(+ 2 (* x (- (* 9/2 (/ x (pow s 2))) (* 3 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal -3 binary32) (/.f32 (*.f32 #s(literal 9/2 binary32) x) s)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -9/2 (/ x (pow s 3))) (* 9/2 (/ 1 (pow s 2))))) (* 3 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 9/2 binary32) (/.f32 (.f32 #s(literal -9/2 binary32) x) s)) (.f32 s s)) x (/.f32 #s(literal -3 binary32) s)) x #s(literal 2 binary32))
(/ x s)
(/.f32 x s)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(/ (pow x 2) s)
(*.f32 x (/.f32 x s))
x
(* x (+ 1 (* -1/2 (/ x s))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x)
(/ (+ 1 (* (exp (* -1 (/ x s))) (- (exp (* -1 (/ x s))) 1))) (+ 1 (exp (* -3 (/ x s)))))
(/.f32 (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(+ 1 (exp (* -3 (/ x s))))
(+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(* 1/4 (/ x s))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) (/.f32 #s(literal -1/2 binary32) (.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* -1/2 (/ (pow x 2) (pow s 2)))
(.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 binary32))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (*.f32 x x))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* -1/2 (/ (pow x 2) s))
(.f32 (.f32 #s(literal -1/2 binary32) (/.f32 x s)) x)
(* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) (.f32 x x))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(/ (- (* 2 s) x) s)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 (neg.f32 s) x (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (.f32 x x) #s(literal 1/2 binary32) (.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)) s) s)
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) (.f32 s x)) s) s)
(/ (+ (* -1/2 (pow x 2)) (* s x)) s)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) (.f32 s x)) s)
(- (+ 1/2 (* -1/2 (/ x s))) (* -3/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(- (+ 1/2 (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* 1/2 (pow x 2)) (pow x 2)) (pow s 2))))) (+ (* -3/2 (/ (* x (- (* -1/2 x) (* -3/4 x))) (pow s 2))) (+ (* -3/4 (/ x s)) (* 9/8 (/ (pow x 2) (pow s 2))))))
(-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (/.f32 (.f32 #s(literal 3/4 binary32) (.f32 x x)) s)) s) #s(literal -1/2 binary32)) (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (/.f32 (fma.f32 (.f32 (.f32 #s(literal -3/2 binary32) x) #s(literal 1/4 binary32)) x (.f32 #s(literal 9/8 binary32) (.f32 x x))) (*.f32 s s))))
(- (+ 1/2 (+ (* -1/2 (/ x s)) (+ (* 1/2 (/ (+ (* -1 (pow x 3)) (* -1/6 (pow x 3))) (pow s 3))) (* 1/2 (/ (+ (* 1/2 (pow x 2)) (pow x 2)) (pow s 2)))))) (+ (* -3/2 (/ (* x (- (* -1/2 x) (* -3/4 x))) (pow s 2))) (+ (* -3/2 (/ (* x (- (* 1/2 (+ (* 1/2 (pow x 2)) (pow x 2))) (+ (* -3/2 (* x (- (* -1/2 x) (* -3/4 x)))) (* 9/8 (pow x 2))))) (pow s 3))) (+ (* -9/8 (/ (pow x 3) (pow s 3))) (+ (* -3/4 (/ x s)) (+ (* 9/8 (/ (pow x 2) (pow s 2))) (* 9/4 (/ (* (pow x 2) (- (* -1/2 x) (* -3/4 x))) (pow s 3)))))))))
(-.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 3/2 binary32) x) x (/.f32 (.f32 #s(literal -7/6 binary32) (pow.f32 x #s(literal 3 binary32))) s)) (.f32 s s)) #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (fma.f32 #s(literal -3/2 binary32) (/.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) x) x (/.f32 (.f32 (-.f32 (fma.f32 #s(literal 3/4 binary32) (.f32 x x) (.f32 #s(literal -9/8 binary32) (.f32 x x))) (.f32 (.f32 (.f32 #s(literal -3/2 binary32) x) #s(literal 1/4 binary32)) x)) x) s)) (.f32 s s)) (+.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) x (.f32 #s(literal 9/8 binary32) (.f32 x (/.f32 x s)))) s) (/.f32 (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)) #s(literal 9/4 binary32) (.f32 #s(literal -9/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 s #s(literal 3 binary32))))))
(- (+ 1/2 (* -1 (/ (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2))) (pow s 2)))) (* -3/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) x #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -9/8 (pow x 3)) (+ (* 3/2 (* x (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2))))) (* 27/16 (pow x 3)))) (pow s 3)))) (+ (* -9/8 (/ (pow x 2) (pow s 2))) (+ (* -3/4 (/ x s)) (* 9/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (/.f32 (fma.f32 #s(literal -9/8 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 0 binary32) x (*.f32 #s(literal 27/16 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 3/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 2 (+ (* -3 (/ x s)) (* 9/2 (/ (pow x 2) (pow s 2)))))
(-.f32 (/.f32 (fma.f32 #s(literal 9/2 binary32) (.f32 x (/.f32 x s)) (.f32 #s(literal -3 binary32) x)) s) #s(literal -2 binary32))
(+ 2 (+ (* -9/2 (/ (pow x 3) (pow s 3))) (+ (* -3 (/ x s)) (* 9/2 (/ (pow x 2) (pow s 2))))))
(-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -9/2 binary32) (/.f32 (fma.f32 #s(literal 9/2 binary32) (.f32 x (/.f32 x s)) (.f32 #s(literal -3 binary32) x)) s)) #s(literal -2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
(+ x (* -1/2 (/ (pow x 2) s)))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x)
(+ 1/2 (* -1 (/ (- (* 1/2 x) (* 3/4 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* 1/2 (pow x 2)) (pow x 2))) (+ (* 9/8 (pow x 2)) (* 3/2 (* x (- (* 1/2 x) (* 3/4 x)))))) s)) (* 1/2 x)) (* 3/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (fma.f32 #s(literal 3/4 binary32) (.f32 x x) (.f32 #s(literal -9/8 binary32) (.f32 x x))) (.f32 (.f32 (.f32 #s(literal -1/4 binary32) x) x) #s(literal 3/2 binary32))) (neg.f32 s))) s))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* 1/6 (pow x 3)) (pow x 3))) (+ (* 9/8 (pow x 3)) (+ (* 3/2 (* x (- (* 1/2 (+ (* 1/2 (pow x 2)) (pow x 2))) (+ (* 9/8 (pow x 2)) (* 3/2 (* x (- (* 1/2 x) (* 3/4 x)))))))) (* 9/4 (* (pow x 2) (- (* 1/2 x) (* 3/4 x))))))) s)) (* 1/2 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 9/8 (pow x 2)) (* 3/2 (* x (- (* 1/2 x) (* 3/4 x)))))) s)) (* 1/2 x)) (* 3/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (fma.f32 #s(literal 3/4 binary32) (.f32 x x) (/.f32 (-.f32 (fma.f32 #s(literal 7/12 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 #s(literal -9/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (.f32 #s(literal 3/2 binary32) x) (-.f32 (fma.f32 #s(literal 3/4 binary32) (.f32 x x) (.f32 #s(literal -9/8 binary32) (.f32 x x))) (.f32 (.f32 (.f32 #s(literal -1/4 binary32) x) x) #s(literal 3/2 binary32))) (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/4 binary32)) #s(literal 9/4 binary32)))) (neg.f32 s))) (fma.f32 (.f32 (.f32 #s(literal -1/4 binary32) x) x) #s(literal 3/2 binary32) (.f32 #s(literal 9/8 binary32) (*.f32 x x)))) (neg.f32 s))) s))
(+ 1/2 (* -1 (/ (- (+ (* -9/8 (/ (pow x 2) s)) (* 9/8 (/ (pow x 2) s))) (* 3/4 x)) s)))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -27/16 (/ (pow x 3) s)) (+ (* -3/2 (/ (* x (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2)))) s)) (* 9/8 (/ (pow x 3) s)))) (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2)))) s)) (* 3/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -3/4 binary32) x (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -27/16 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 0 binary32) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 9/8 binary32)))) s) #s(literal 0 binary32)) (neg.f32 s))) s))
(+ 2 (* -1 (/ (+ (* -9/2 (/ (pow x 2) s)) (* 3 x)) s)))
(-.f32 (/.f32 (fma.f32 #s(literal 9/2 binary32) (.f32 x (/.f32 x s)) (.f32 #s(literal -3 binary32) x)) s) #s(literal -2 binary32))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -9/2 (/ (pow x 3) s)) (* 9/2 (pow x 2))) s)) (* 3 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) x (/.f32 (.f32 #s(literal -9/2 binary32) (-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) (.f32 x x))) (neg.f32 s))) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (fma.f32 #s(literal 0 binary32) x (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32))) #s(literal 0 binary32)) (neg.f32 s))) s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s)
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))

rewrite151.0ms (2.3%)

Memory

17.5MiB live, 144.1MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	201
0	58	201
1	205	186
0	1530	186

Stop Event

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

Counts

18 → 208

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)))
(+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 x (/.f32 x s))
(fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x)

Outputs
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(.f32 (/.f32 (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (.f32 (.f32 #s(literal 3 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))) (expm1.f32 (.f32 #s(literal 3 binary32) (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (-.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 9 binary32)) #s(literal -1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32))))
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))) (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))
(/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (+.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 (*.f32 (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32)) (+.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (-.f32 (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal 1 binary32))) (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (-.f32 (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3 binary32)) #s(literal -1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))) (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (-.f32 (/.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (.f32 (/.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (+.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3 binary32)) #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))) (pow.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) (+.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))) (pow.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3 binary32)) #s(literal -1 binary32))) (.f32 (+.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))) (pow.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)))) (pow.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 (fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(-.f32 (/.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))
(-.f32 (/.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (.f32 #s(literal 3 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))) (expm1.f32 (.f32 #s(literal 3 binary32) (/.f32 (neg.f32 x) s))) (/.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 9 binary32)) #s(literal -1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s))) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32))) (/.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (exp.f32 (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (exp.f32 (/.f32 (neg.f32 x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(fma.f32 (pow.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(fma.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(fma.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1 binary32) (/.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
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(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal 3 binary32))) (fma.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal 2 binary32)) #s(literal 4 binary32)))
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)))) (/.f32 x s))
(-.f32 (/.f32 #s(literal 4 binary32) (+.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal 2 binary32))) (/.f32 (pow.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal 2 binary32)) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal 2 binary32))))
(-.f32 (/.f32 #s(literal 8 binary32) (fma.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) (+.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal 2 binary32)) #s(literal 4 binary32))) (/.f32 (pow.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s) #s(literal 2 binary32)) #s(literal 4 binary32))))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))
(+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)))
(/.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)))) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (/.f32 x s)))
(/.f32 (+.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (/.f32 x s)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x))) (neg.f32 (neg.f32 s)))
(/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) (neg.f32 s) (.f32 s (neg.f32 x))) (.f32 s (neg.f32 s)))
(/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s (.f32 s x)) (.f32 s s))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (.f32 x x)) (.f32 (-.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) x) s))
(/.f32 (fma.f32 (pow.f32 (.f32 (/.f32 x s) x) #s(literal 3 binary32)) #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (.f32 (fma.f32 x (-.f32 x (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) (pow.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) #s(literal 2 binary32))) s))
(/.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x)) (neg.f32 s))
(/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)
(fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 (/.f32 x s) s) (/.f32 x s))
(fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s))
(fma.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 x s))
(+.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (/.f32 x s))
(+.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x)) s))
(neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) (neg.f32 s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (-.f32 (.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32)))
(exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 x s) x)
(*.f32 x (/.f32 x s))
(/.f32 (neg.f32 (*.f32 x x)) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s))
(/.f32 (*.f32 x (neg.f32 x)) (neg.f32 s))
(/.f32 (*.f32 x x) s)
(/.f32 (-.f32 (.f32 x x) (pow.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) #s(literal 2 binary32))) (-.f32 x (.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (.f32 x x))) (neg.f32 (-.f32 (.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) x)))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (.f32 (/.f32 x s) x) #s(literal 3 binary32)) #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (-.f32 x (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) (pow.f32 (.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (.f32 x x)) (-.f32 (.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) x))
(/.f32 (fma.f32 (pow.f32 (.f32 (/.f32 x s) x) #s(literal 3 binary32)) #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (pow.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) x))))
(/.f32 (fma.f32 (pow.f32 (.f32 (/.f32 x s) x) #s(literal 3 binary32)) #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x (-.f32 x (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) (pow.f32 (.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) x)) (/.f32 (.f32 x x) (-.f32 (.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) x)))
(-.f32 x (.f32 (neg.f32 (.f32 #s(literal -1/2 binary32) x)) (/.f32 x s)))
(-.f32 x (.f32 (neg.f32 (.f32 (/.f32 x s) x)) #s(literal -1/2 binary32)))
(-.f32 x (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 x s) x)))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x x)
(fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x)
(fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x)
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x)
(fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x)
(fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x)
(+.f32 (/.f32 (pow.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) (pow.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) (pow.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) #s(literal 2 binary32)))))
(+.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) x)
(+.f32 x (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)))

eval32.0ms (0.5%)

Memory: 1.7MiB live, 92.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 8 816 to 1 265 computations (85.7% saved)

prune77.0ms (1.2%)

Memory

-13.8MiB live, 91.0MiB allocated; 76ms collecting garbage

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	267	15	282
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	268	22	290

Accuracy

100.0%

Counts

290 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶	53.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
▶	52.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	54.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)))))
▶	54.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
	51.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s (.f32 s x)) (.f32 s s)))))
	54.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
✓	54.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
✓	40.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	32.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/.f32 (fma.f32 (neg.f32 s) x (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
	49.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/.f32 (/.f32 (fma.f32 (.f32 x x) #s(literal 1/2 binary32) (.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)) s) s))))
	34.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
	40.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
	18.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
▶	40.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
✓	30.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	28.4%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (fma.f32 #s(literal 0 binary32) x (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32))) #s(literal 0 binary32)) (neg.f32 s))) s)))
	30.7%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
▶	7.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
✓	36.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
	27.7%	#s(approx (* (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (* (exp (/ (neg x) s)) (- (exp (/ (neg x) s)) 1)) 1)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))))
	23.3%	#s(approx (* (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (* (exp (/ (neg x) s)) (- (exp (/ (neg x) s)) 1)) 1)) (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (/.f32 (.f32 #s(literal 3/4 binary32) (.f32 x x)) s)) s) #s(literal -1/2 binary32)) (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (/.f32 (fma.f32 (.f32 (.f32 #s(literal -3/2 binary32) x) #s(literal 1/4 binary32)) x (.f32 #s(literal 9/8 binary32) (.f32 x x))) (*.f32 s s)))))

Compiler

Compiled 1 101 to 793 computations (28% saved)

simplify105.0ms (1.6%)

Memory

1.3MiB live, 188.8MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff	1	(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
cost-diff	0	(-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
cost-diff	0	(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff	0	(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
cost-diff	0	#s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
cost-diff	0	(/.f32 #s(literal 1/4 binary32) s)
cost-diff	0	(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
cost-diff	0	#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
cost-diff	0	(/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s)
cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	459
0	81	459
1	129	459
2	298	459
3	872	459
4	3033	459
0	8260	450

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))
#s(literal 2 binary32)
(/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s)
(fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x)
(/.f32 x s)
x
s
(*.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
s
x
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
#s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(/.f32 #s(literal 1 binary32) s)
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 s s)
s
x
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (.f32 s s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
#s(literal 1/2 binary32)
(/.f32 (*.f32 #s(literal -1/6 binary32) x) s)
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
x
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)

Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) s) x #s(literal 1 binary32)) (/.f32 x s)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) s) x #s(literal 1 binary32)) (/.f32 x s))))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))
(-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) s) x #s(literal 1 binary32)) (/.f32 x s)))
#s(literal 2 binary32)
(/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s)
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) s) x #s(literal 1 binary32)) (/.f32 x s))
(fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x)
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) s) x #s(literal 1 binary32)) x)
(/.f32 x s)
x
s
(*.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
s
x
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
#s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(/.f32 #s(literal 1 binary32) s)
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
#s(literal 1/2 binary32)
(*.f32 s s)
s
x
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
(*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (.f32 s s))
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s)
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 (*.f32 #s(literal -1/6 binary32) x) s)
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(*.f32 #s(literal -1/6 binary32) x)
#s(literal -1/6 binary32)
x
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)

localize106.0ms (1.6%)

Memory

22.4MiB live, 309.4MiB allocated; 13ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3359375	(*.f32 #s(literal -1/6 binary32) x)
accuracy	0.9056336560915508	(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy	3.3850046886774874	(.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
accuracy	14.009715687645668	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy	0.109375	(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
accuracy	1.1549788006585306	(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy	3.7398185740525145	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
accuracy	14.421080280158302	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy	0.0390625	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
accuracy	0.06869125976844201	(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
accuracy	0.30464329956299363	(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
accuracy	19.350970576106548	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
accuracy	0.0	(/.f32 #s(literal 1/4 binary32) s)
accuracy	0.18359375	(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
accuracy	8.905709017771391	#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
accuracy	22.152987111968784	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
accuracy	0.0390625	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
accuracy	0.0625	(fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x)
accuracy	0.08984375	(/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s)
accuracy	14.421080280158302	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s)))

Samples

78.0ms

256×

valid

Compiler

Compiled 306 to 44 computations (85.6% saved)

Precisions

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

ival-div: 20.0ms (34.5% of total)

ival-mult: 16.0ms (27.6% of total)

ival-add: 7.0ms (12.1% of total)

ival-sub: 6.0ms (10.3% of total)

const: 4.0ms (6.9% of total)

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

exact: 1.0ms (1.7% of total)

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

adjust: 0.0ms (0% of total)

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

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

series35.0ms (0.5%)

Memory

-30.7MiB live, 112.1MiB allocated; 8ms collecting garbage

Counts

26 → 84

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))
(/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
#s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x)
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
(*.f32 #s(literal -1/6 binary32) x)

Outputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(* 1/4 (/ x s))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(+ 1/2 (* -1/6 (/ x s)))
x
(* x (+ 1 (* -1/2 (/ x s))))
(/ 2 x)
(/ (+ 2 (* -1 (/ x s))) x)
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/2 (/ (pow x 2) s))
(* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))
(- (* 2 (/ 1 x)) (/ 1 s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ 1/4 s)
(/ (- (* 2 s) x) s)
(/ (+ (* -1 x) (* 2 s)) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/2 (pow x 2)) (* s x)) s)
(/ (- (* 2 (/ s x)) 1) s)
(/ 1/2 (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(+ x (* -1/2 (/ (pow x 2) s)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	s	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/ (+ (* (/ x s) (* -1/2 x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (/ 2 x) (/ 1 s)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (+ (* (/ x s) (* -1/2 x)) x) (- (/ 2 x) (/ 1 s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
6.0ms	x	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/ (+ (* (/ x s) (* -1/2 x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (/ 2 x) (/ 1 s)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (+ (* (/ x s) (* -1/2 x)) x) (- (/ 2 x) (/ 1 s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
6.0ms	s	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/ (+ (* (/ x s) (* -1/2 x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (/ 2 x) (/ 1 s)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (+ (* (/ x s) (* -1/2 x)) x) (- (/ 2 x) (/ 1 s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
5.0ms	x	@	-inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/ (+ (* (/ x s) (* -1/2 x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (/ 2 x) (/ 1 s)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (+ (* (/ x s) (* -1/2 x)) x) (- (/ 2 x) (/ 1 s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
5.0ms	x	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/ (+ (* (/ x s) (* -1/2 x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (* (- (/ 2 x) (/ 1 s)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (+ (* (/ x s) (* -1/2 x)) x) (- (/ 2 x) (/ 1 s)) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))

simplify226.0ms (3.4%)

Memory

-53.0MiB live, 332.6MiB allocated; 100ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	1075
1	891	997
2	3514	962
0	8292	911

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(* 1/4 (/ x s))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(+ 1/2 (* -1/6 (/ x s)))
x
(* x (+ 1 (* -1/2 (/ x s))))
(/ 2 x)
(/ (+ 2 (* -1 (/ x s))) x)
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/2 (/ (pow x 2) s))
(* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))
(- (* 2 (/ 1 x)) (/ 1 s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ 1/4 s)
(/ (- (* 2 s) x) s)
(/ (+ (* -1 x) (* 2 s)) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/2 (pow x 2)) (* s x)) s)
(/ (- (* 2 (/ s x)) 1) s)
(/ 1/2 (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(+ x (* -1/2 (/ (pow x 2) s)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))

Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(/ x s)
(/.f32 x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s)
(* 1/4 (/ x s))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
x
(* x (+ 1 (* -1/2 (/ x s))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x)
(/ 2 x)
(/.f32 #s(literal 2 binary32) x)
(/ (+ 2 (* -1 (/ x s))) x)
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) x)
(* 1/2 (/ x (pow s 2)))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x)
(* -1/6 x)
(*.f32 #s(literal -1/6 binary32) x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* 1/2 (/ (pow x 2) (pow s 2)))
(.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (/.f32 #s(literal -1/2 binary32) (.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (.f32 x x))
(* -1/2 (/ (pow x 2) (pow s 2)))
(.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 binary32))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) x)
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x)
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))))) (pow.f32 x #s(literal 3 binary32)))
(* -1/2 (/ (pow x 2) s))
(.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32))
(* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) (.f32 x x))
(- (* 2 (/ 1 x)) (/ 1 s))
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(* -1/6 (/ (pow x 2) (pow s 3)))
(.f32 (.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x)
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal -1 binary32) s)) x)
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 s x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x)) (pow.f32 x #s(literal 3 binary32)))
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/2 binary32) x s))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (- (* 2 s) x) s)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)
(/ (+ (* -1 x) (* 2 s)) s)
(/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/.f32 (fma.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/2 (pow x 2)) (* s x)) s)
(*.f32 (/.f32 x s) (fma.f32 #s(literal -1/2 binary32) x s))
(/ (- (* 2 (/ s x)) 1) s)
(/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) s)
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+.f32 (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32)) (pow.f32 s #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) x) s)) #s(literal -2 binary32))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(+ x (* -1/2 (/ (pow x 2) s)))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x)
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x)
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/48 binary32) #s(literal 0 binary32)) s)) s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) x) s)) #s(literal -2 binary32))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s)
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)

rewrite107.0ms (1.6%)

Memory

4.1MiB live, 190.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	379
0	81	379
1	297	379
0	2233	372

Stop Event

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

Counts

26 → 239

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))
(/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(/.f32 #s(literal 1/4 binary32) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))
#s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x)
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
(*.f32 #s(literal -1/6 binary32) x)

Outputs
(.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))) #s(literal -1/2 binary32)))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) #s(literal 2 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) (+.f32 (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) #s(literal 2 binary32)) #s(literal 4 binary32))))
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) #s(literal 2 binary32))) (+.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) (+.f32 (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) #s(literal 2 binary32)) #s(literal 4 binary32)))
(-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32)) (/.f32 x s))) (/.f32 x s))
(-.f32 (/.f32 #s(literal 4 binary32) (+.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) #s(literal 2 binary32))) (/.f32 (pow.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) #s(literal 2 binary32)) (+.f32 (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) #s(literal 2 binary32))))
(-.f32 (/.f32 #s(literal 8 binary32) (fma.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) (+.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) #s(literal 2 binary32)) #s(literal 4 binary32))) (/.f32 (pow.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) #s(literal 3 binary32)) (fma.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) (+.f32 (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s) #s(literal 2 binary32)) #s(literal 4 binary32))))
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(*.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (/.f32 x (fabs.f32 s)))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s)))
(.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 s s)))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s)) (neg.f32 s))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fabs.f32 s)) (fabs.f32 s))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
(/.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) s)
(/.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 s s))
(/.f32 (.f32 #s(literal -1/2 binary32) x) (.f32 (neg.f32 s) s))
(/.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (fabs.f32 s))
(/.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) s)
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 s) s))
(neg.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 s s)))
(neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 s) s)))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 s)) (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (fabs.f32 s)) (/.f32 x (fabs.f32 s)))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))
(*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x)
(.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (.f32 s s)))
(*.f32 x (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s))
(/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (neg.f32 s)) (neg.f32 s))
(/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (fabs.f32 s)) (fabs.f32 s))
(/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s)
(/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s)
(/.f32 (.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x) (.f32 (neg.f32 s) s))
(/.f32 (*.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) s)
(/.f32 (.f32 x (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (.f32 (neg.f32 s) s))
(/.f32 (neg.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) (.f32 (neg.f32 s) s))
(/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s) (.f32 (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s) (.f32 x (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (/.f32 x (fabs.f32 s)) (.f32 (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (/.f32 x (fabs.f32 s)) (.f32 x (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (.f32 (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (.f32 x (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x (.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x (.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s)) (.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s)) (.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (.f32 (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x))
(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (.f32 x (.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s))))
(*.f32 #s(literal -1/6 binary32) x)
(*.f32 x #s(literal -1/6 binary32))

eval49.0ms (0.7%)

Memory: 14.9MiB live, 60.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 10 268 to 1 579 computations (84.6% saved)

prune25.0ms (0.4%)

Memory

16.1MiB live, 61.1MiB allocated; 4ms collecting garbage

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	288	18	306
Fresh	9	3	12
Picked	3	2	5
Done	1	4	5
Total	301	27	328

Accuracy

100.0%

Counts

328 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	56.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
	45.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) s) (.f32 (.f32 s s) #s(literal 1 binary32))) (.f32 (.f32 s s) s)) x #s(literal 2 binary32))))
▶	59.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
▶	54.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	53.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	53.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	54.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓	52.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	52.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
	40.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
	54.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (/.f32 x s)))))
✓	40.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	49.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
▶	32.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
	34.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
	32.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/.f32 (fma.f32 (neg.f32 s) x (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
	18.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
	34.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) (*.f32 s x)) x))))
	36.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
	27.7%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))))
✓	30.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	28.4%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/48 binary32) #s(literal 0 binary32)) s)) s)))
▶	30.7%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
✓	7.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
✓	36.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
	23.3%	#s(approx (* (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (* (exp (/ (neg x) s)) (- (exp (/ (neg x) s)) 1)) 1)) (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (/.f32 (.f32 #s(literal 3/4 binary32) (.f32 x x)) s)) s) #s(literal -1/2 binary32)) (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (/.f32 (fma.f32 (.f32 (.f32 #s(literal -3/2 binary32) x) #s(literal 1/4 binary32)) x (.f32 #s(literal 9/8 binary32) (.f32 x x))) (*.f32 s s)))))

Compiler

Compiled 1 420 to 1 024 computations (27.9% saved)

simplify120.0ms (1.8%)

Memory

14.0MiB live, 155.3MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s))
cost-diff	0	(fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
cost-diff	2	(/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)
cost-diff	2	(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
cost-diff	0	#s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
cost-diff	1	(/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))
cost-diff	0	(fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))
cost-diff	0	#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
cost-diff	2	(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
cost-diff	0	(-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s))
cost-diff	0	(fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	631
0	94	631
1	168	631
2	401	628
3	1345	615
4	5730	615
0	8066	595

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s))
(/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s)
(/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))
#s(literal 1/2 binary32)
s
(*.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
x
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))
#s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))
(/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))
(.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s))
x
(-.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))
#s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))
(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)
(fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32)))
(-.f32 (*.f32 #s(literal 2 binary32) s) x)
(*.f32 #s(literal 2 binary32) s)
#s(literal 2 binary32)
s
x
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)

Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)) x #s(literal 2 binary32))
(-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s))
(/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))
(/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s)
(*.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 #s(literal -1/6 binary32) s) x #s(literal 1/2 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)
(*.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal -1/6 binary32) s) x #s(literal 1/2 binary32)))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(*.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) x #s(literal 1/2 binary32)) x)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 #s(literal -1/6 binary32) s) x #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
#s(approx (+ (* (/ x s) 1/4) 1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))
#s(literal 1/2 binary32)
s
(*.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
x
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) x))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) x)))
#s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))
#s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) x))
(/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))
(*.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) x)
(.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s))
(.f32 (-.f32 (.f32 #s(literal 1/2 binary32) x) s) x)
x
(-.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s))))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s)))))
#s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))
#s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s))))
(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(-.f32 #s(literal 2 binary32) (*.f32 x (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s)))
(/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)
(fma.f32 (.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 2 binary32) s) x))
(fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32)))
(-.f32 (*.f32 #s(literal 2 binary32) s) x)
(*.f32 #s(literal 2 binary32) s)
#s(literal 2 binary32)
s
x
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)) x #s(literal 2 binary32))
(-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s))
(/.f32 (fma.f32 (.f32 (/.f32 x s) x) #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))
(/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s))
(*.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 #s(literal -1/6 binary32) s) x #s(literal 1/2 binary32)))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(*.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) x #s(literal 1/2 binary32)) x)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 #s(literal -1/6 binary32) s) x #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)

localize175.0ms (2.6%)

Memory

-8.5MiB live, 228.1MiB allocated; 48ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.8681781178108133	(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	0.9056336560915508	(fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy	2.51037262047638	(/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s))
accuracy	14.009715687645668	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy	0.0390625	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
accuracy	0.08984375	(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
accuracy	2.8867995902592423	(/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)
accuracy	14.421080280158302	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))
accuracy	0.0390625	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
accuracy	5.521765151205509	(/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))
accuracy	8.348251520114252	#s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))
accuracy	14.421080280158302	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))
accuracy	0.0	(*.f32 #s(literal 1/4 binary32) x)
accuracy	0.0	#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
accuracy	0.05078125	(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
accuracy	22.152987111968784	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
accuracy	0.09765625	(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
accuracy	0.8681781178108133	(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	0.9056336560915508	(fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy	14.009715687645668	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))

Samples

116.0ms

256×

valid

Compiler

Compiled 402 to 53 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 25.0ms (32.3% of total)

ival-div: 19.0ms (24.5% of total)

ival-add: 16.0ms (20.6% of total)

const: 8.0ms (10.3% of total)

ival-sub: 5.0ms (6.5% of total)

ival-exp: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

series40.0ms (0.6%)

Memory

-11.3MiB live, 40.8MiB allocated; 16ms collecting garbage

Counts

24 → 92

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))
(/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))
#s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))
(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(*.f32 #s(literal 1/4 binary32) x)
(/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s))

Outputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(* 1/2 s)
(+ (* 1/4 x) (* 1/2 s))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* 2 s)
(+ (* -1 x) (* 2 s))
(+ (* 2 s) (* x (- (* 1/2 (/ x s)) 1)))
(+ 1/2 (* -1/6 (/ x s)))
(* 1/2 x)
(* x (+ 1/2 (* -1/6 (/ x s))))
(* 1/4 x)
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* (pow x 2) (- (+ (* 2 (/ s (pow x 2))) (* 1/2 (/ 1 s))) (/ 1 x)))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (* -1/2 (/ s x)) 1/4)))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (+ 1 (* -2 (/ s x))) x)) (* 1/2 (/ 1 s))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(* s (+ 1/2 (* 1/4 (/ x s))))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(* s (+ 2 (* -1 (/ x s))))
(* s (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1 (* s (- (* -1/4 (/ x s)) 1/2)))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* -1 (* s (- (/ x s) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)) 2)))

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	s	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) x) 2) (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) (/ (+ (* 1/2 s) (* 1/4 x)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (+ (* 1/2 s) (* 1/4 x)) (/ (* x (- (* 1/2 x) s)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/ (/ (+ (* (- (* 2 s) x) s) (* (* x x) 1/2)) s) s) (/ (+ (* (- (* 2 s) x) s) (* (* x x) 1/2)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) x) 2) (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) (+ (* -1/6 (/ x s)) 1/2) (* (+ (* -1/6 (/ x s)) 1/2) x) (* 1/4 x) (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)))
4.0ms	x	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) x) 2) (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) (/ (+ (* 1/2 s) (* 1/4 x)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (+ (* 1/2 s) (* 1/4 x)) (/ (* x (- (* 1/2 x) s)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/ (/ (+ (* (- (* 2 s) x) s) (* (* x x) 1/2)) s) s) (/ (+ (* (- (* 2 s) x) s) (* (* x x) 1/2)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) x) 2) (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) (+ (* -1/6 (/ x s)) 1/2) (* (+ (* -1/6 (/ x s)) 1/2) x) (* 1/4 x) (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)))
4.0ms	x	@	-inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) x) 2) (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) (/ (+ (* 1/2 s) (* 1/4 x)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (+ (* 1/2 s) (* 1/4 x)) (/ (* x (- (* 1/2 x) s)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/ (/ (+ (* (- (* 2 s) x) s) (* (* x x) 1/2)) s) s) (/ (+ (* (- (* 2 s) x) s) (* (* x x) 1/2)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) x) 2) (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) (+ (* -1/6 (/ x s)) 1/2) (* (+ (* -1/6 (/ x s)) 1/2) x) (* 1/4 x) (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)))
3.0ms	x	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) x) 2) (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) (/ (+ (* 1/2 s) (* 1/4 x)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (+ (* 1/2 s) (* 1/4 x)) (/ (* x (- (* 1/2 x) s)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/ (/ (+ (* (- (* 2 s) x) s) (* (* x x) 1/2)) s) s) (/ (+ (* (- (* 2 s) x) s) (* (* x x) 1/2)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) x) 2) (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) (+ (* -1/6 (/ x s)) 1/2) (* (+ (* -1/6 (/ x s)) 1/2) x) (* 1/4 x) (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)))
3.0ms	s	@	-inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) x) 2) (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) (/ (+ (* 1/2 s) (* 1/4 x)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (+ (* 1/2 s) (* 1/4 x)) (/ (* x (- (* 1/2 x) s)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/ (/ (+ (* (- (* 2 s) x) s) (* (* x x) 1/2)) s) s) (/ (+ (* (- (* 2 s) x) s) (* (* x x) 1/2)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) x) 2) (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) (+ (* -1/6 (/ x s)) 1/2) (* (+ (* -1/6 (/ x s)) 1/2) x) (* 1/4 x) (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)))

simplify194.0ms (2.9%)

Memory

21.1MiB live, 253.0MiB allocated; 46ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	1263
1	1010	1153
2	3983	1152
0	8291	1091

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 92

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(* 1/2 s)
(+ (* 1/4 x) (* 1/2 s))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* 2 s)
(+ (* -1 x) (* 2 s))
(+ (* 2 s) (* x (- (* 1/2 (/ x s)) 1)))
(+ 1/2 (* -1/6 (/ x s)))
(* 1/2 x)
(* x (+ 1/2 (* -1/6 (/ x s))))
(* 1/4 x)
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* (pow x 2) (- (+ (* 2 (/ s (pow x 2))) (* 1/2 (/ 1 s))) (/ 1 x)))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (* -1/2 (/ s x)) 1/4)))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (+ 1 (* -2 (/ s x))) x)) (* 1/2 (/ 1 s))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(* s (+ 1/2 (* 1/4 (/ x s))))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(* s (+ 2 (* -1 (/ x s))))
(* s (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(* -1 (* s (- (* -1/4 (/ x s)) 1/2)))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* -1 (* s (- (/ x s) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)) 2)))

Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
(* 1/2 s)
(*.f32 #s(literal 1/2 binary32) s)
(+ (* 1/4 x) (* 1/2 s))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x)
(* 2 s)
(*.f32 #s(literal 2 binary32) s)
(+ (* -1 x) (* 2 s))
(-.f32 (*.f32 #s(literal 2 binary32) s) x)
(+ (* 2 s) (* x (- (* 1/2 (/ x s)) 1)))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) x (*.f32 #s(literal 2 binary32) s))
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* x (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(* 1/4 x)
(*.f32 #s(literal 1/4 binary32) x)
(* 1/2 (/ x (pow s 2)))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))))) (pow.f32 x #s(literal 3 binary32)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(.f32 (.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x)
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* 1/4 (/ x s))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
(* x (+ 1/4 (* 1/2 (/ s x))))
(*.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (/.f32 #s(literal -1/2 binary32) (.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (.f32 x x))
(* 1/2 (/ (pow x 2) s))
(.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) (.f32 x x))
(* (pow x 2) (- (+ (* 2 (/ s (pow x 2))) (* 1/2 (/ 1 s))) (/ 1 x)))
(.f32 (-.f32 (fma.f32 (/.f32 (/.f32 s x) x) #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) x)) (.f32 x x))
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)
(* -1/6 (/ (pow x 2) s))
(.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x) x)
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) x)) x) (/.f32 #s(literal -1/2 binary32) (.f32 s s))) x) (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* -1 (* x (- (* -1/2 (/ s x)) 1/4)))
(*.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) x)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) x)) x) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x)
(* (pow x 2) (+ (* -1 (/ (+ 1 (* -2 (/ s x))) x)) (* 1/2 (/ 1 s))))
(.f32 (.f32 (-.f32 (/.f32 (fma.f32 (/.f32 s x) #s(literal 2 binary32) #s(literal -1 binary32)) x) (/.f32 #s(literal -1/2 binary32) s)) x) x)
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (fma.f32 (.f32 (.f32 s x) #s(literal 1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (neg.f32 x) s)) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s)) s (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (fma.f32 (.f32 s x) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s (.f32 #s(literal -1/6 binary32) (.f32 x x))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (neg.f32 x) s)) s) s)
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (neg.f32 x) s)) s) s)
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)) s) s)
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)) s) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (neg.f32 x) s)) s)
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) s)
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
(/.f32 (fma.f32 (.f32 s x) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (*.f32 x x))) s)
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.f32 #s(literal 0 binary32) x)) (pow.f32 s #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) x) x)) s)) s))
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
(* s (+ 1/2 (* 1/4 (/ x s))))
(*.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(* s (+ 2 (* -1 (/ x s))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) s)
(* s (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) s)
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s)
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (fma.f32 #s(literal 0 binary32) x #s(literal 0 binary32))) (neg.f32 s))) s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) x) x)) s)) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
(* -1 (* s (- (* -1/4 (/ x s)) 1/2)))
(*.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(* -1 (* s (- (/ x s) 2)))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) s)
(* -1 (* s (- (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)) 2)))
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) s)

rewrite129.0ms (1.9%)

Memory

13.3MiB live, 184.6MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	479
0	94	463
1	374	463
0	2678	448

Stop Event

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

Counts

24 → 285

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))
(fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x))
(/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))
#s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))
(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(*.f32 #s(literal 1/4 binary32) x)
(/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s))

Outputs
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 2 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 3 binary32)) #s(literal 8 binary32))) (neg.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x)) (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 2 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) (.f32 x #s(literal 2 binary32))))))
(/.f32 (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x)) (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (*.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 2 binary32))))
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s)) x))
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 x) (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s)))
(fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(+.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x)) (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 2 binary32)))) (/.f32 #s(literal 8 binary32) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x)) (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 2 binary32)))))
(+.f32 (*.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x))
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x)))
(/.f32 (/.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) s)) s) (neg.f32 s)) (neg.f32 s))
(/.f32 (/.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) s)) s) (fabs.f32 s)) (fabs.f32 s))
(/.f32 (/.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) s)) s) s) s)
(/.f32 (/.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 x s)) (.f32 s s)) (.f32 s s)) s)
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 s #s(literal -2 binary32)))) (neg.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 s #s(literal -3 binary32)))) (neg.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) (pow.f32 (.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) s)) s)) (*.f32 (neg.f32 s) s))
(/.f32 (neg.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 x s)) (*.f32 s s))) (neg.f32 (pow.f32 s #s(literal 3 binary32))))
(/.f32 (neg.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32))) (neg.f32 s))
(/.f32 (-.f32 (.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (neg.f32 x) s)) (neg.f32 s)) (.f32 (neg.f32 s) #s(literal -1 binary32))) (.f32 s s))
(/.f32 (-.f32 (.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (neg.f32 x) s)) s) (.f32 (neg.f32 s) #s(literal 1 binary32))) (.f32 (neg.f32 s) s))
(/.f32 (-.f32 (.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (neg.f32 x)) (neg.f32 s)) (.f32 (.f32 (neg.f32 s) s) #s(literal -1 binary32))) (.f32 (.f32 (neg.f32 s) s) (neg.f32 s)))
(/.f32 (-.f32 (.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (neg.f32 x)) s) (.f32 (.f32 (neg.f32 s) s) #s(literal 1 binary32))) (.f32 (.f32 (neg.f32 s) s) s))
(/.f32 (-.f32 (.f32 (.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (neg.f32 s)) (.f32 s #s(literal -1 binary32))) (.f32 (neg.f32 s) s))
(/.f32 (-.f32 (.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x) (neg.f32 s)) (.f32 (.f32 s s) #s(literal -1 binary32))) (.f32 (.f32 s s) (neg.f32 s)))
(/.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (neg.f32 s))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 s #s(literal -2 binary32))) (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s))
(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 s #s(literal -3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) (pow.f32 (.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) s)) s) (*.f32 s s))
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(/.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (neg.f32 s))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 s #s(literal -2 binary32))) (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s))
(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 s #s(literal -3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) (pow.f32 (.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) s)) s) (*.f32 s s))
(/.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 x s)) (*.f32 s s)) (pow.f32 s #s(literal 3 binary32)))
(/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s)
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) (/.f32 (pow.f32 s #s(literal -2 binary32)) (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)))
(-.f32 (/.f32 (pow.f32 (.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) (pow.f32 (.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 s #s(literal -3 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) (pow.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal 2 binary32)))))
(-.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) s)) (.f32 s s)) (/.f32 s (.f32 s s)))
(-.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 x s)) (pow.f32 s #s(literal 3 binary32))) (/.f32 (*.f32 s s) (pow.f32 s #s(literal 3 binary32))))
(-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1/2 binary32) (.f32 (/.f32 x s) #s(literal -1/6 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (neg.f32 (-.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (-.f32 (+.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32))))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32)))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s)))
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+.f32 (/.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (/.f32 #s(literal 1/8 binary32) (-.f32 (+.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(+.f32 (*.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal -1/6 binary32)))
(*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x)
(*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(/.f32 (.f32 x (-.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (-.f32 (*.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)))
(/.f32 (.f32 x (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (-.f32 (+.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) x) (-.f32 (*.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)))
(/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) x) (-.f32 (+.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))
(fma.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) x (.f32 #s(literal 1/2 binary32) x))
(fma.f32 #s(literal 1/2 binary32) x (.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) x))
(fma.f32 #s(literal 1/2 binary32) x (.f32 x (.f32 (/.f32 x s) #s(literal -1/6 binary32))))
(fma.f32 x (.f32 (/.f32 x s) #s(literal -1/6 binary32)) (.f32 #s(literal 1/2 binary32) x))
(fma.f32 x #s(literal 1/2 binary32) (.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) x))
(fma.f32 x #s(literal 1/2 binary32) (.f32 x (.f32 (/.f32 x s) #s(literal -1/6 binary32))))
(+.f32 (.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) x) (*.f32 #s(literal 1/2 binary32) x))
(+.f32 (.f32 x (.f32 (/.f32 x s) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) x))
(+.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 (*.f32 (/.f32 x s) #s(literal -1/6 binary32)) x))
(+.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 x (*.f32 (/.f32 x s) #s(literal -1/6 binary32))))
(.f32 (.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/4 binary32) x)
(.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) x))
(*.f32 x #s(literal 1/4 binary32))
(*.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (neg.f32 s)) (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (fabs.f32 s)) (/.f32 x (fabs.f32 s)))
(*.f32 (/.f32 x (fabs.f32 s)) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (fabs.f32 s)))
(*.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 x s))
(*.f32 (/.f32 x s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s))
(*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s))
(*.f32 (/.f32 (neg.f32 x) s) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (neg.f32 s)))
(.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 s s)))
(/.f32 (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x) (fabs.f32 s)) (fabs.f32 s))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (/.f32 (/.f32 x s) s)) (-.f32 (*.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)))
(/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (/.f32 (/.f32 x s) s)) (-.f32 (+.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))
(/.f32 (*.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (neg.f32 x)) (neg.f32 s))
(/.f32 (*.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) x) s)
(/.f32 (neg.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (neg.f32 x))) (.f32 s s))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) x) (.f32 (-.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (*.f32 s s)))
(/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) x) (.f32 (-.f32 (+.f32 (pow.f32 (.f32 (/.f32 x s) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32))) (*.f32 s s)))
(/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (neg.f32 x) s)) (neg.f32 s))
(/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (neg.f32 x)) (.f32 (neg.f32 s) s))
(/.f32 (*.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)
(/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x) (.f32 s s))
(neg.f32 (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (neg.f32 x) s)) s))
(neg.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (neg.f32 x)) (.f32 s s)))
(neg.f32 (/.f32 (*.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (neg.f32 s)))
(neg.f32 (/.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x) (.f32 (neg.f32 s) s)))

eval59.0ms (0.9%)

Memory: 38.9MiB live, 117.1MiB allocated; 32ms collecting garbage
Compiler: Compiled 13 306 to 1 884 computations (85.8% saved)

prune105.0ms (1.6%)

Memory

-38.9MiB live, 167.1MiB allocated; 73ms collecting garbage

Pruning

34 alts after pruning (25 fresh and 9 done)

	Pruned	Kept	Total
New	331	14	345
Fresh	5	11	16
Picked	2	3	5
Done	0	6	6
Total	338	34	372

Accuracy

100.0%

Counts

372 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	59.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
	56.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
	59.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) s)) s) s) s) x #s(literal 2 binary32))))
	54.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) s)) s) (*.f32 s s)) x #s(literal 2 binary32))))
	49.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x) (neg.f32 s)) (.f32 (.f32 s s) #s(literal -1 binary32))) (.f32 (.f32 s s) (neg.f32 s))) x #s(literal 2 binary32))))
	45.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) s) (.f32 (.f32 s s) #s(literal 1 binary32))) (.f32 (.f32 s s) s)) x #s(literal 2 binary32))))
	58.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 #s(approx (* (+ (* -1/6 (/ x s)) 1/2) x) (/.f32 (fma.f32 (.f32 s x) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (*.f32 x x))) s)) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	58.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 #s(approx (* (+ (* -1/6 (/ x s)) 1/2) x) (.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32))) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓	54.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	52.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 #s(approx (* (+ (* -1/6 (/ x s)) 1/2) x) (/.f32 (fma.f32 (.f32 s x) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (.f32 x x))) s)) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓	52.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	40.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
	52.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
	54.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (/.f32 x s)))))
✓	40.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	50.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) (.f32 s s)))))
	49.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)) s) s))))
✓	32.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
	31.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) x) s) s) (/.f32 x s)))))
	34.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
	18.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) #s(approx (/ (* x (- (* 1/2 x) s)) (* s s)) (/.f32 (neg.f32 x) s)))))
	32.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/.f32 (fma.f32 (neg.f32 s) x (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
	34.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) (*.f32 s x)) x))))
	36.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
	27.7%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))))
✓	30.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	28.4%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/48 binary32) #s(literal 0 binary32)) s)) s)))
✓	30.7%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
	24.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (-.f32 (.f32 (.f32 s s) #s(literal 1/4 binary32)) (.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 (fma.f32 #s(literal 1/2 binary32) s (.f32 #s(literal -1/4 binary32) x)) s))))
	36.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
✓	7.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
✓	36.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
	23.3%	#s(approx (* (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (* (exp (/ (neg x) s)) (- (exp (/ (neg x) s)) 1)) 1)) (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (/.f32 (.f32 #s(literal 3/4 binary32) (.f32 x x)) s)) s) #s(literal -1/2 binary32)) (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (/.f32 (fma.f32 (.f32 (.f32 #s(literal -3/2 binary32) x) #s(literal 1/4 binary32)) x (.f32 #s(literal 9/8 binary32) (.f32 x x))) (*.f32 s s)))))

Compiler

Compiled 2 702 to 1 154 computations (57.3% saved)

regimes154.0ms (2.3%)

Memory

1.4MiB live, 291.2MiB allocated; 51ms collecting garbage

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) #s(approx (/ (* x (- (* 1/2 x) s)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) (*.f32 s x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/.f32 (fma.f32 (neg.f32 s) x (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) x) s) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (-.f32 (.f32 (.f32 s s) #s(literal 1/4 binary32)) (.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 (fma.f32 #s(literal 1/2 binary32) s (.f32 #s(literal -1/4 binary32) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/.f32 (/.f32 (fma.f32 (.f32 x x) #s(literal 1/2 binary32) (.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) s) (.f32 (.f32 s s) #s(literal 1 binary32))) (.f32 (.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 #s(approx (* (+ (* -1/6 (/ x s)) 1/2) x) (.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32))) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) s)) s) (*.f32 s s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 #s(approx (* (+ (* -1/6 (/ x s)) 1/2) x) (/.f32 (fma.f32 (.f32 s x) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (.f32 x x))) s)) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) s)) s) s) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x) (neg.f32 s)) (.f32 (.f32 s s) #s(literal -1 binary32))) (.f32 (.f32 s s) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 #s(approx (* (+ (* -1/6 (/ x s)) 1/2) x) (/.f32 (fma.f32 (.f32 s x) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (*.f32 x x))) s)) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (* (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (* (exp (/ (neg x) s)) (- (exp (/ (neg x) s)) 1)) 1)) (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (/.f32 (.f32 #s(literal 3/4 binary32) (.f32 x x)) s)) s) #s(literal -1/2 binary32)) (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (/.f32 (fma.f32 (.f32 (.f32 #s(literal -3/2 binary32) x) #s(literal 1/4 binary32)) x (.f32 #s(literal 9/8 binary32) (.f32 x x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(approx (* (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (* (exp (/ (neg x) s)) (- (exp (/ (neg x) s)) 1)) 1)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/48 binary32) #s(literal 0 binary32)) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (fma.f32 #s(literal 0 binary32) x (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32))) #s(literal 0 binary32)) (neg.f32 s))) s)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Calls

7 calls:

38.0ms	s
35.0ms	(/.f32 (neg.f32 x) s)
23.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
17.0ms	(neg.f32 x)
14.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`(neg.f32 x)`
99.9%	1	`(/.f32 (neg.f32 x) s)`
99.9%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
99.9%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
99.9%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
99.9%	1	`x`
99.9%	1	`s`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes92.0ms (1.4%)

Memory

3.3MiB live, 195.0MiB allocated; 23ms collecting garbage

Counts

49 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) #s(approx (/ (* x (- (* 1/2 x) s)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) (*.f32 s x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/.f32 (fma.f32 (neg.f32 s) x (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) x) s) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (-.f32 (.f32 (.f32 s s) #s(literal 1/4 binary32)) (.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 (fma.f32 #s(literal 1/2 binary32) s (.f32 #s(literal -1/4 binary32) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/.f32 (/.f32 (fma.f32 (.f32 x x) #s(literal 1/2 binary32) (.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) s) (.f32 (.f32 s s) #s(literal 1 binary32))) (.f32 (.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 #s(approx (* (+ (* -1/6 (/ x s)) 1/2) x) (.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32))) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) s)) s) (*.f32 s s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 #s(approx (* (+ (* -1/6 (/ x s)) 1/2) x) (/.f32 (fma.f32 (.f32 s x) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (.f32 x x))) s)) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 (/.f32 x s) s)) s) s) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ 1/2 (/ ( -1/6 x) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x) (neg.f32 s)) (.f32 (.f32 s s) #s(literal -1 binary32))) (.f32 (.f32 s s) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (/.f32 #s(approx (* (+ (* -1/6 (/ x s)) 1/2) x) (/.f32 (fma.f32 (.f32 s x) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (*.f32 x x))) s)) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (* (/ 1 (+ (exp (* (/ (neg x) s) 3)) 1)) (+ (* (exp (/ (neg x) s)) (- (exp (/ (neg x) s)) 1)) 1)) (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (/.f32 (.f32 #s(literal 3/4 binary32) (.f32 x x)) s)) s) #s(literal -1/2 binary32)) (fma.f32 #s(literal -3/4 binary32) (/.f32 x s) (/.f32 (fma.f32 (.f32 (.f32 #s(literal -3/2 binary32) x) #s(literal 1/4 binary32)) x (.f32 #s(literal 9/8 binary32) (.f32 x x))) (*.f32 s s)))))

Outputs

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))

Calls

7 calls:

16.0ms	(neg.f32 x)
16.0ms	s
13.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
13.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
12.0ms	x

Results

Accuracy	Segments	Branch
67.6%	2	`(neg.f32 x)`
68.1%	2	`(/.f32 (neg.f32 x) s)`
68.1%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
68.1%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
68.1%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
67.6%	2	`x`
59.6%	1	`s`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes52.0ms (0.8%)

Memory

6.4MiB live, 99.0MiB allocated; 5ms collecting garbage

Counts

35 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) #s(approx (/ (* x (- (* 1/2 x) s)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) (*.f32 s x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/.f32 (fma.f32 (neg.f32 s) x (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) x) s) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (-.f32 (.f32 (.f32 s s) #s(literal 1/4 binary32)) (.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 (fma.f32 #s(literal 1/2 binary32) s (.f32 #s(literal -1/4 binary32) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/.f32 (/.f32 (fma.f32 (.f32 x x) #s(literal 1/2 binary32) (.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (/.f32 x s) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) s) (.f32 (.f32 s s) #s(literal 1 binary32))) (.f32 (.f32 s s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s (.f32 s x)) (.f32 s s)))))

Outputs

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32))))

Calls

6 calls:

11.0ms	(/.f32 (neg.f32 x) s)
10.0ms	(neg.f32 x)
9.0ms	x
7.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
64.3%	2	`x`
64.3%	2	`(neg.f32 x)`
64.8%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
64.8%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
64.8%	2	`(/.f32 (neg.f32 x) s)`
64.8%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes74.0ms (1.1%)

Memory

-4.8MiB live, 49.7MiB allocated; 51ms collecting garbage

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) #s(approx (/ (* x (- (* 1/2 x) s)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) (*.f32 s x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* x (/ x s))) x) s)) (/.f32 (fma.f32 (neg.f32 s) x (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))

Outputs

#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))

Calls

6 calls:

48.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
6.0ms	(neg.f32 x)
5.0ms	x
5.0ms	(/.f32 (neg.f32 x) s)
4.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
64.0%	2	`x`
64.0%	2	`(neg.f32 x)`
64.1%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
64.1%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
64.1%	2	`(/.f32 (neg.f32 x) s)`
64.1%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes32.0ms (0.5%)

Memory

-8.6MiB live, 41.2MiB allocated; 9ms collecting garbage

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) #s(approx (/ (* x (- (* 1/2 x) s)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) (*.f32 s x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))

Outputs

#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))

Calls

6 calls:

11.0ms	(/.f32 (neg.f32 x) s)
5.0ms	(neg.f32 x)
5.0ms	x
3.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
60.1%	2	`x`
60.1%	2	`(neg.f32 x)`
62.9%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
62.9%	2	`(/.f32 (neg.f32 x) s)`
62.9%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
62.9%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes30.0ms (0.5%)

Memory

-3.4MiB live, 42.1MiB allocated; 5ms collecting garbage

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) #s(approx (/ (* x (- (* 1/2 x) s)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) (*.f32 s x)) x))))

Outputs

#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) (*.f32 s x)) x))))

Calls

7 calls:

8.0ms	s
4.0ms	(neg.f32 x)
4.0ms	x
4.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
50.4%	2	`x`
50.4%	2	`(neg.f32 x)`
40.9%	1	`s`
50.9%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
50.9%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
50.9%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
50.9%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes21.0ms (0.3%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) #s(approx (/ (* x (- (* 1/2 x) s)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))

Outputs

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))

Calls

6 calls:

4.0ms	x
4.0ms	(neg.f32 x)
4.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
49.3%	2	`x`
49.3%	2	`(neg.f32 x)`
49.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
49.6%	2	`(/.f32 (neg.f32 x) s)`
49.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
49.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes20.0ms (0.3%)

Memory

-27.1MiB live, 18.1MiB allocated; 9ms collecting garbage

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) #s(approx (/ (* x (- (* 1/2 x) s)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) s) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))

Outputs

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))

Calls

4 calls:

11.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
49.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
49.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
49.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
49.6%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes11.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) #s(approx (/ (* x (- (* 1/2 x) s)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))

Outputs

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))))

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))

Calls

4 calls:

3.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
2.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
49.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
49.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
49.6%	2	`(/.f32 (neg.f32 x) s)`
49.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes10.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) #s(approx (/ (* x (- (* 1/2 x) s)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))

Outputs

#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))

Calls

4 calls:

3.0ms	(/.f32 (neg.f32 x) s)
2.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
49.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
49.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
49.6%	2	`(/.f32 (neg.f32 x) s)`
49.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes46.0ms (0.7%)

Memory

-26.3MiB live, 25.9MiB allocated; 8ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ x s) (* -1/2 x)) x) s)) #s(approx (/ (* x (- (* 1/2 x) s)) (* s s)) (/.f32 (neg.f32 x) s)))))

Outputs

#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))

(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))

Calls

6 calls:

33.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms	(neg.f32 x)
3.0ms	x
2.0ms	(/.f32 (neg.f32 x) s)
2.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
47.8%	2	`x`
47.8%	2	`(neg.f32 x)`
48.0%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
48.0%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
48.0%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
48.0%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes14.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))

Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))

Calls

7 calls:

2.0ms	(neg.f32 x)
2.0ms	x
2.0ms	s
2.0ms	(/.f32 (neg.f32 x) s)
2.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
36.5%	1	`s`
36.5%	1	`x`
36.5%	1	`(neg.f32 x)`
36.5%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
36.5%	1	`(/.f32 (neg.f32 x) s)`
36.5%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
36.5%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes14.0ms (0.2%)

Memory

-26.4MiB live, 17.8MiB allocated; 7ms collecting garbage

Accuracy

Total -9.4b remaining (-46.5%)

Threshold costs -9.4b (-46.5%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))

Outputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Calls

7 calls:

6.0ms	s
1.0ms	(neg.f32 x)
1.0ms	x
1.0ms	(/.f32 (neg.f32 x) s)
1.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
36.5%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
36.5%	1	`x`
36.5%	1	`(neg.f32 x)`
36.5%	1	`(/.f32 (neg.f32 x) s)`
36.5%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
36.5%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
36.5%	1	`s`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.053974974900484085	0.1605372428894043

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.053974974900484085	0.1605372428894043

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0731228590011597	2.4477126598358154

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1390.056640625	8046.77490234375

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07057291269302368	0.8951539397239685

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8292293548583984	-0.19816817343235016

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8292293548583984	-0.19816817343235016

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1605372428894043	0.8202319145202637

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8292293548583984	-0.19816817343235016

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.654428720474243	488.4485168457031

Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify60.0ms (0.9%)

Memory

-3.6MiB live, 42.1MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	672
1	178	672
2	294	672
3	629	672
4	1790	672

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 13421773/134217728 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 13421773/134217728 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- ( (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ ( (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 13421773/134217728 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) (.f32 s x)) x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- ( (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 13421773/67108864 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 13421773/134217728 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 13421773/134217728 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- ( (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ ( (/ x s) (* -1/2 x)) x) s)) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 13421773/134217728 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (.f32 (/.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) (.f32 s x)) x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- ( (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 13421773/67108864 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 #s(approx (+ (* 1/2 s) (* 1/4 x)) (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

derivations1.3s (19.5%)

Memory

-4.4MiB live, 1 151.1MiB allocated; 231ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	201
0	58	201
1	205	186
0	1530	186
0	59	479
0	94	463
1	374	463
0	2678	448
0	393	1360
1	1318	1220
2	5499	1190
0	8068	1108
0	140	377
1	435	345
2	1799	341
0	9323	313
0	282	1075
1	891	997
2	3514	962
0	8292	911
0	311	1263
1	1010	1153
2	3983	1152
0	8291	1091
0	51	379
0	81	379
1	297	379
0	2233	372

Stop Event

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

Compiler

Compiled 672 to 124 computations (81.5% saved)

preprocess146.0ms (2.2%)

Memory: 11.2MiB live, 112.5MiB allocated; 20ms collecting garbage
Compiler: Compiled 1 362 to 264 computations (80.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze62.0ms (0.9%)

sample1.3s (20%)

explain141.0ms (2.1%)

preprocess197.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify238.0ms (3.6%)

localize55.0ms (0.8%)

series9.0ms (0.1%)

simplify163.0ms (2.4%)

rewrite43.0ms (0.7%)

eval6.0ms (0.1%)

prune6.0ms (0.1%)

simplify179.0ms (2.7%)

localize169.0ms (2.5%)

series42.0ms (0.6%)

simplify215.0ms (3.2%)

rewrite151.0ms (2.3%)

eval32.0ms (0.5%)

prune77.0ms (1.2%)

simplify105.0ms (1.6%)

localize106.0ms (1.6%)

series35.0ms (0.5%)

simplify226.0ms (3.4%)

rewrite107.0ms (1.6%)

eval49.0ms (0.7%)

prune25.0ms (0.4%)

simplify120.0ms (1.8%)

localize175.0ms (2.6%)

series40.0ms (0.6%)

simplify194.0ms (2.9%)

rewrite129.0ms (1.9%)

eval59.0ms (0.9%)

prune105.0ms (1.6%)

regimes154.0ms (2.3%)

regimes92.0ms (1.4%)

regimes52.0ms (0.8%)

regimes74.0ms (1.1%)

regimes32.0ms (0.5%)

regimes30.0ms (0.5%)

regimes21.0ms (0.3%)

regimes20.0ms (0.3%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes46.0ms (0.7%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify60.0ms (0.9%)

derivations1.3s (19.5%)

preprocess146.0ms (2.2%)

end0.0ms (0%)

Profiling