Metrics for Logistic function

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze86.0ms (1.1%)

Memory

-40.4MiB live, 52.0MiB allocated; 46ms 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)

sample1.4s (18.3%)

Memory

-12.3MiB live, 1 015.0MiB allocated; 1.2s collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 548.0ms

ival-div: 133.0ms (24.3% of total)

const: 129.0ms (23.5% of total)

ival-add: 96.0ms (17.5% of total)

ival-exp: 66.0ms (12% of total)

ival-<=: 56.0ms (10.2% of total)

ival-neg: 40.0ms (7.3% of total)

ival-and: 12.0ms (2.2% of total)

exact: 11.0ms (2% of total)

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

adjust: 2.0ms (0.4% of total)

Bogosity

explain91.0ms (1.2%)

Memory

-2.7MiB live, 89.4MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`s`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
2	(-4.2376523144728075e-25 4.078809547491119e-27)	-	`(exp.f32 (/.f32 (neg.f32 x) s))`
1	(-4.2376523144728075e-25 4.078809547491119e-27)	-	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
0	-	-	`(neg.f32 x)`
0	-	-	`(/.f32 (neg.f32 x) s)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 x) s))`	sensitivity	2	1
`/.f32`	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`	n/o	1	0
↳	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`	overflow	91
↳	`(/.f32 (neg.f32 x) s)`	overflow	65
↳	`(exp.f32 (/.f32 (neg.f32 x) s))`	overflow	91

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	2	1	253

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	1
2	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

30.0ms

512×

valid

Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 7.0ms (40.3% of total)

ival-exp: 4.0ms (23% of total)

ival-neg: 3.0ms (17.3% of total)

ival-add: 2.0ms (11.5% 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)

preprocess127.0ms (1.7%)

Memory

23.4MiB live, 84.9MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	41
1	50	41
2	101	41
3	211	41
4	585	41
5	4945	41
0	8	9
0	13	9
1	21	9
2	40	9
3	96	9
4	276	9
5	2327	9
0	8067	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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.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)

simplify99.0ms (1.3%)

Memory

-23.0MiB live, 110.2MiB allocated; 39ms 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	40	30
3	96	30
4	276	30
5	2327	30
0	8067	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

localize21.0ms (0.3%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f32 x)
accuracy	0.015625	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.039899684065627994	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.05078125	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Samples

15.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (46.7% of total)

ival-exp: 2.0ms (23.3% of total)

ival-add: 1.0ms (11.7% of total)

ival-neg: 1.0ms (11.7% 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

7.1MiB live, 7.1MiB 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))

simplify151.0ms (2%)

Memory

-17.7MiB live, 123.9MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	377
1	435	345
2	1607	341
0	8697	311

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 #s(literal 1/480 binary32) x) (/.f32 x (pow.f32 s #s(literal 5 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 (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))
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 (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 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 (/.f32 x s) x) 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 (/.f32 x s) x) 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 (/.f32 x s) x) 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 (/.f32 x s) x) 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 (/.f32 x s) x) 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 (/.f32 x s) x) 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 (/.f32 x s) x) 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 (/.f32 x s) x) x) s)))

rewrite179.0ms (2.3%)

Memory

27.3MiB live, 173.4MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	27
1	43	27
2	218	27
3	2032	27
0	9071	27

Stop Event

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

Counts

5 → 452

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 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (fma.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (-.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.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) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)))) (neg.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)))))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (-.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (neg.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.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 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(/.f32 (+.f32 (pow.f32 (.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) #s(literal 3 binary32))) (fma.f32 (.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (-.f32 (.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))))) (.f32 (.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))))))))
(/.f32 (+.f32 (pow.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (-.f32 (.f32 (.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))))) (.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))) (.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))))))))
(/.f32 (+.f32 (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))) (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))) (-.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32))) (.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))) (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32))))))
(/.f32 (+.f32 (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))) #s(literal 3 binary32))) (fma.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32)) (-.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s)))) (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))))) (.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))))))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) (cosh.f32 (.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) (-.f32 (.f32 (sinh.f32 (.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) (sinh.f32 (.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))) (.f32 (cosh.f32 (.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) (sinh.f32 (.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))))) (neg.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 2 binary32))))) (neg.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32))) (+.f32 (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (-.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))))) (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))) (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 2 binary32))))) (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (fma.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (-.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal -1 binary32)))
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(-.f32 (log.f32 (.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32))))) (log.f32 (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))))
(-.f32 (log.f32 (fma.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s)))))) (log.f32 #s(literal 4 binary32)))
(-.f32 (log.f32 (fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)))))) (log.f32 #s(literal 4 binary32)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 2 binary32)) (-.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)))) (log.f32 (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32))
(neg.f32 (/.f32 x s))
(neg.f32 x)

eval58.0ms (0.8%)

Memory: -12.6MiB live, 75.6MiB allocated; 11ms collecting garbage
Compiler: Compiled 17 059 to 1 687 computations (90.1% saved)

prune32.0ms (0.4%)

Memory

-14.2MiB live, 41.9MiB allocated; 10ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	461	12	473
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	461	13	474

Accuracy

100.0%

Counts

474 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
	30.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))) (/.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))) (-.f32 (.f32 (/.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))) (/.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))) (.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))) (/.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))))))))
	30.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32))) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	56.7%	(/.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)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
▶	53.2%	(/.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))))
	55.1%	(/.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 s) x) x) s))))
▶	42.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	64.2%	(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
	99.9%	(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
▶	29.4%	#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 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
	32.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶	37.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 847 to 380 computations (55.1% saved)

simplify107.0ms (1.4%)

Memory

13.6MiB live, 57.0MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f32 x s)
cost-diff	0	(pow.f32 (/.f32 x s) #s(literal 3 binary32))
cost-diff	0	(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)))
cost-diff	0	#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 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
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 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	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
cost-diff	0	(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff	0	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
cost-diff	0	(exp.f32 #s(literal -1 binary32))
cost-diff	0	(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	233
0	60	233
1	96	233
2	215	233
3	635	233
4	2386	233
0	8314	233

Stop Event

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

Calls

Call 1

Inputs
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 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))) (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)
#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 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(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)))
(pow.f32 (/.f32 x s) #s(literal 3 binary32))
(/.f32 x s)
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))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)

Outputs
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 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))) (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)
#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 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
(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)))
(fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(pow.f32 (/.f32 x s) #s(literal 3 binary32))
(/.f32 x s)
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))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)

localize403.0ms (5.3%)

Memory

-17.2MiB live, 321.1MiB allocated; 71ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.09699266302377368	(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
accuracy	0.20349506837909412	(pow.f32 (/.f32 x s) #s(literal 3 binary32))
accuracy	4.693079480842445	(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)))
accuracy	12.979668531090619	#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 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
accuracy	0.22494126245567062	(-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
accuracy	0.7827065384129807	(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	3.6145136262731206	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
accuracy	12.4241269667215	#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	0.0	(/.f32 x s)
accuracy	0.03353500976844202	(-.f32 #s(literal 2 binary32) (/.f32 x s))
accuracy	0.05078125	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
accuracy	13.328046857932378	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
accuracy	10.967436559350627	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy	0.0	(exp.f32 #s(literal -1 binary32))
accuracy	0.039899684065627994	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.045253759768442016	(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy	1.5256722496019162	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))

Samples

282.0ms	78×	5	exit
85.0ms	178×	0	valid

Compiler

Compiled 185 to 33 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 298.0ms

adjust: 80.0ms (26.9% of total)

ival-pow: 68.0ms (22.8% of total)

ival-exp: 61.0ms (20.5% of total)

ival-div: 20.0ms (6.7% of total)

ival-mult: 17.0ms (5.7% of total)

ival-add: 16.0ms (5.4% of total)

ival-log1p: 15.0ms (5% of total)

const: 12.0ms (4% of total)

ival-sub: 5.0ms (1.7% of total)

exact: 2.0ms (0.7% of total)

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

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

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

series162.0ms (2.1%)

Memory

8.5MiB live, 238.4MiB allocated; 47ms collecting garbage

Counts

18 → 72

Calls

Call 1

Inputs
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 #s(literal -1 binary32))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #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(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 x 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(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))
#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 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(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)))
(pow.f32 (/.f32 x s) #s(literal 3 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))

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)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 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))))
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)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/ (pow x 3) (pow s 3))
(* 1/2 (/ x (pow s 2)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(+ 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))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(/ (- (* 2 s) x) 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))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))
(+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 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)) (* 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)
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) 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)))
(+ 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))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))

Calls

6 calls:

Time	Variable		Point	Expression
55.0ms	x	@	inf	((pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (exp -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (* (/ 1/2 (* s s)) x) (+ (* (/ x s) 1/4) 1/2))
52.0ms	s	@	0	((pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (exp -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (* (/ 1/2 (* s s)) x) (+ (* (/ x s) 1/4) 1/2))
31.0ms	x	@	-inf	((pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (exp -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (* (/ 1/2 (* s s)) x) (+ (* (/ x s) 1/4) 1/2))
13.0ms	s	@	-inf	((pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (exp -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (* (/ 1/2 (* s s)) x) (+ (* (/ x s) 1/4) 1/2))
6.0ms	x	@	0	((pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (exp -1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (* (/ 1/2 (* s s)) x) (+ (* (/ x s) 1/4) 1/2))

simplify186.0ms (2.4%)

Memory

42.1MiB live, 218.6MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	1125
1	1075	952
2	4569	938
0	8177	880

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 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))))
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)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/ (pow x 3) (pow s 3))
(* 1/2 (/ x (pow s 2)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(+ 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))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(/ (- (* 2 s) x) 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))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))
(+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 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)) (* 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)
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) 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)))
(+ 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))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) 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)))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.f32 (fma.f32 (.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/192 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) x (/.f32 #s(literal -1/2 binary32) s)) x (log.f32 #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 (/.f32 x s) #s(literal 1/2 binary32)) #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))
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 (/.f32 x s) #s(literal 1/2 binary32)) #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 s)
(/.f32 x s)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)
(/ (pow x 3) (pow s 3))
(pow.f32 (/.f32 x s) #s(literal 3 binary32))
(* 1/2 (/ x (pow s 2)))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(+ 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 (/.f32 #s(literal 1/2 binary32) 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))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x)
(* -1/48 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 s x) x)) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) (.f32 x x)) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* 1/4 (/ x s))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(* 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 (- (/ 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 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 (/.f32 #s(literal 1/2 binary32) s) s)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 s x) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) (.f32 (neg.f32 x) x)) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))))
(/ (- (* 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 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)) (*.f32 s s))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/.f32 (fma.f32 (.f32 (.f32 s x) s) #s(literal 1/4 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/.f32 (fma.f32 (.f32 (fma.f32 #s(literal 1/4 binary32) x (.f32 #s(literal 1/2 binary32) s)) s) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))
(-.f32 (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/4 binary32) (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))))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) s) x) s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(+.f32 (fma.f32 #s(literal 0 binary32) x (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal 1/8 binary32) (.f32 #s(literal -1/2 binary32) x)) s)) (log.f32 #s(literal 2 binary32)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 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))
(- (+ 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 (fma.f32 #s(literal 0 binary32) x (*.f32 #s(literal 1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) #s(literal -1 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 (*.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 x x) #s(literal 1/2 binary32))) s)) s))
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 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)))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 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 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)) #s(literal 1/4 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32)))) s) s) #s(literal 0 binary32))) s))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) s) x) s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (fma.f32 #s(literal 0 binary32) x (.f32 (.f32 x (/.f32 x s)) #s(literal -1/8 binary32)))) s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 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))
(+ 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)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.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 (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 x x) #s(literal 1/2 binary32))) s)) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) 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)))

rewrite246.0ms (3.2%)

Memory

-22.3MiB live, 230.6MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	194
0	60	194
1	203	191
2	1312	183
0	8191	183

Stop Event

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

Counts

18 → 428

Calls

Call 1

Inputs
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 #s(literal -1 binary32))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #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(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 x 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(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))
#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 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(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)))
(pow.f32 (/.f32 x s) #s(literal 3 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))

Outputs
(*.f32 (pow.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal 1 binary32)))
(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal 2 binary32))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (+.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (+.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)) #s(literal 2 binary32))))
(*.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))))
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))) (neg.f32 (neg.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))))
(*.f32 (fabs.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) (fabs.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))))
(.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 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)))
(*.f32 (neg.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) (neg.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))))
(*.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))
(/.f32 (-.f32 (.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) (-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) (.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.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) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (+.f32 (neg.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 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) #s(literal -1 binary32))
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(/.f32 (neg.f32 (*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (neg.f32 x))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) x)) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 x) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (neg.f32 s))
(/.f32 (*.f32 x (pow.f32 (/.f32 x s) #s(literal 2 binary32))) s)
(/.f32 (*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (neg.f32 x)) (neg.f32 s))
(/.f32 (*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) x) s)
(/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))
(/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (pow.f32 (neg.f32 s) #s(literal 3 binary32))))
(/.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (neg.f32 (neg.f32 s)) #s(literal 3 binary32)))
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(pow.f32 (exp.f32 #s(literal 3 binary32)) (log.f32 (/.f32 x s)))
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(pow.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (/.f32 x s) #s(literal 3 binary32))
(fabs.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (sinh.f32 (log.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)))))
(exp.f32 (-.f32 (.f32 (log.f32 x) #s(literal 3 binary32)) (.f32 (log.f32 s) #s(literal 3 binary32))))
(exp.f32 (fma.f32 (log.f32 (/.f32 x s)) #s(literal 3/2 binary32) (*.f32 (log.f32 (/.f32 x s)) #s(literal 3/2 binary32))))
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 x s)) #s(literal 3/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 3/2 binary32)))
(exp.f32 (log.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32))))
(neg.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s))
(.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s)))
(*.f32 (/.f32 (neg.f32 x) s) (/.f32 #s(literal -1/2 binary32) s))
(*.f32 (/.f32 (neg.f32 x) s) (/.f32 #s(literal 1/2 binary32) (neg.f32 s)))
(.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 s s)))
(/.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (neg.f32 s))
(/.f32 (neg.f32 (.f32 #s(literal -1/2 binary32) x)) (.f32 s s))
(/.f32 (neg.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) (neg.f32 s))
(/.f32 (neg.f32 (.f32 x #s(literal -1/2 binary32))) (.f32 s s))
(/.f32 (neg.f32 (neg.f32 (.f32 #s(literal 1/2 binary32) x))) (.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) s) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
(/.f32 (.f32 #s(literal -1/2 binary32) x) (.f32 (neg.f32 s) s))
(/.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) s)
(/.f32 (.f32 x #s(literal -1/2 binary32)) (.f32 (neg.f32 s) s))
(/.f32 (neg.f32 (.f32 #s(literal 1/2 binary32) x)) (.f32 (neg.f32 s) s))
(/.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 s s))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))) (.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))))) (+.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal -1/4 binary32) (/.f32 x s)) (.f32 #s(literal -1/4 binary32) (/.f32 x s)))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/4 binary32) (/.f32 x s))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32)) (.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))) (/.f32 (.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32)))))) (.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))) (/.f32 #s(literal 1/8 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))))) (-.f32 (/.f32 (.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))) (/.f32 #s(literal 1/8 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))))))
(/.f32 (-.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal -1/4 binary32) (/.f32 x s)) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (fma.f32 (.f32 #s(literal -1/4 binary32) (/.f32 x s)) (.f32 #s(literal -1/4 binary32) (/.f32 x s)) (.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))))
(/.f32 (-.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (fma.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32)) (.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32)) (.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))) (/.f32 (.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))) (-.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))) (/.f32 #s(literal 1/8 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32)))))) (.f32 (/.f32 (.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))) (/.f32 #s(literal 1/8 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32)))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/4 binary32) (/.f32 x s)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1/4 binary32)))) (neg.f32 (neg.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)))))))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) #s(literal 1/4 binary32))) (pow.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(/.f32 (fma.f32 (.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32)))) (.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32)))) #s(literal 1/8 binary32))) (pow.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)))) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/4 binary32) (/.f32 x s))))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1/4 binary32))) (neg.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32))))))
(/.f32 (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1/4 binary32)) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (.f32 (/.f32 x s) #s(literal 1/8 binary32)))))
(/.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)))))
(-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/4 binary32) (/.f32 x s)))) (/.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))))
(-.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32)))
(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 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))) (/.f32 (.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (*.f32 (/.f32 x s) #s(literal 1/8 binary32))))))
(+.f32 (/.f32 (.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))) (/.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (*.f32 (/.f32 x s) #s(literal 1/8 binary32))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))) (/.f32 (.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32))))))
(+.f32 (/.f32 (.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32))))) (/.f32 #s(literal 1/8 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32))))))
(+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))

eval96.0ms (1.3%)

Memory: -9.1MiB live, 84.3MiB allocated; 25ms collecting garbage
Compiler: Compiled 19 986 to 2 359 computations (88.2% saved)

prune27.0ms (0.3%)

Memory

20.0MiB live, 63.8MiB allocated; 4ms collecting garbage

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	489	20	509
Fresh	4	3	7
Picked	1	4	5
Done	0	1	1
Total	494	28	522

Accuracy

100.0%

Counts

522 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	99.9%	(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
▶	99.9%	(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
	30.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32))) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	54.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))))
	44.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 x #s(literal -1/2 binary32)) s) (.f32 (.f32 (neg.f32 s) s) #s(literal 1 binary32))) (.f32 (.f32 (neg.f32 s) s) s)) x #s(literal 2 binary32))))
	56.7%	(/.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)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
▶	56.7%	(/.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))))
▶	56.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓	53.2%	(/.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))))
	53.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 #s(approx (* (/ 1/2 (* s s)) x) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	56.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
	42.0%	(/.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))))
	55.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
✓	42.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	42.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
	17.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
	41.5%	(/.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))))
	29.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
▶	32.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
	99.2%	(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal 2 binary32))))
	64.2%	(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
	99.9%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
▶	32.1%	#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
✓	29.4%	#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 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
	23.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (/.f32 (.f32 x x) s) (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
✓	37.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 1 222 to 892 computations (27% saved)

simplify118.0ms (1.5%)

Memory

5.2MiB live, 96.1MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 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 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s))
cost-diff	0	(fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) 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 x s) (/.f32 #s(literal 1/2 binary32) 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 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff	0	(.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
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 (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
cost-diff	0	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
cost-diff	0	(/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))
cost-diff	0	(exp.f32 #s(literal -2 binary32))
cost-diff	0	(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	430
0	88	430
1	142	427
2	303	427
3	781	427
4	2460	427
0	8130	420

Stop Event

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

Calls

Call 1

Inputs
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
(exp.f32 #s(literal -2 binary32))
#s(literal -2 binary32)
(/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 2 binary32)
#s(approx (pow (exp -1) (log (+ 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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
(.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(*.f32 x (/.f32 (/.f32 x s) s))
x
(/.f32 (/.f32 x s) s)
(/.f32 x s)
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) 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 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s))
(/.f32 x s)
x
s
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
(/.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
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
(exp.f32 #s(literal -2 binary32))
#s(literal -2 binary32)
(/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 2 binary32)
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (pow (exp -1) (log (+ 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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32)))
(.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32))
(*.f32 x (/.f32 (/.f32 x s) s))
(*.f32 (/.f32 (/.f32 x s) s) x)
x
(/.f32 (/.f32 x s) s)
(/.f32 x s)
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) 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 x s) 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 x s) (/.f32 #s(literal 1/2 binary32) 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 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s))
(-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s))
(*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
(/.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x 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 #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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))
(/.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)

localize447.0ms (5.8%)

Memory

-6.7MiB live, 376.3MiB allocated; 34ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2265625	(*.f32 #s(literal -1/6 binary32) x)
accuracy	1.0146990588989906	(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	3.2606077807096803	(.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x)
accuracy	12.977998341874352	#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	0.15234375	(*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s))
accuracy	0.22494126245567062	(-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s))
accuracy	0.7827065384129807	(fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy	12.4241269667215	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy	0.09375	(/.f32 (/.f32 x s) s)
accuracy	0.8330230409370483	(*.f32 x (/.f32 (/.f32 x s) s))
accuracy	9.350306753789406	#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
accuracy	12.4241269667215	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
accuracy	0.0	(/.f32 x s)
accuracy	0.09699266302377368	(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
accuracy	12.356992296966784	#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
accuracy	0.0	(exp.f32 #s(literal -2 binary32))
accuracy	0.03641378162065376	(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
accuracy	0.039899684065627994	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	1.5256722496019162	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))

Samples

328.0ms	78×	5	exit
59.0ms	178×	0	valid

Compiler

Compiled 302 to 48 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-pow: 96.0ms (27.3% of total)

ival-exp: 62.0ms (17.6% of total)

adjust: 49.0ms (13.9% of total)

ival-mult: 41.0ms (11.7% of total)

ival-div: 38.0ms (10.8% of total)

ival-sub: 19.0ms (5.4% of total)

ival-log1p: 15.0ms (4.3% of total)

ival-add: 15.0ms (4.3% of total)

const: 13.0ms (3.7% of total)

exact: 2.0ms (0.6% of total)

ival-neg: 2.0ms (0.6% of total)

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

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

series167.0ms (2.2%)

Memory

7.3MiB live, 121.1MiB allocated; 143ms collecting garbage

Counts

25 → 90

Calls

Call 1

Inputs
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
(exp.f32 #s(literal -2 binary32))
(/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (pow (exp -1) (log (+ 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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
(.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))) (fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.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))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 x (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 x s) s)
(*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) 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)))))
(* 1/2 (log 2))
(+ (* -1/4 (/ x s)) (* 1/2 (log 2)))
(+ (* 1/2 (log 2)) (* x (- (* 1/16 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(+ (* 1/2 (log 2)) (* x (- (* x (+ (* -1/384 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(/ x 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))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(+ 1/2 (* -1/6 (/ x 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) (pow s 2))
(/ x (pow s 2))
(* 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)))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(log (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(+ 1 (exp (* -1 (/ x s))))
(* (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))))
(* 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))))))
(exp (* -1 (/ x 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 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))))))
(/ (+ (* 1/4 x) (* 1/2 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))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))
(+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))
(+ (* -1/4 (/ x s)) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 2))))
(+ (* -1/4 (/ x s)) (+ (* 1/12 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (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))))))
(/ (- (* 1/2 (/ x s)) 1) 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))))))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s)))
(+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/4 x)) s)) (* 1/2 (log 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/4 x)) s)) (* 1/2 (log 2)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 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)))
(* -1 (/ (+ 1 (* -1/2 (/ x 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
103.0ms	x	@	inf	((pow (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2)) (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (log (+ 1 (exp (/ (neg x) s)))) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x s) (/ 1/2 s)) (/ 1 s)) x) 2) (- (* (/ x s) (/ 1/2 s)) (/ 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) (exp (/ (neg x) s)) (* x (/ (/ x s) s)) (/ (/ x s) s) (* (/ x s) (/ 1/2 s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
28.0ms	s	@	0	((pow (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2)) (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (log (+ 1 (exp (/ (neg x) s)))) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x s) (/ 1/2 s)) (/ 1 s)) x) 2) (- (* (/ x s) (/ 1/2 s)) (/ 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) (exp (/ (neg x) s)) (* x (/ (/ x s) s)) (/ (/ x s) s) (* (/ x s) (/ 1/2 s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
25.0ms	x	@	-inf	((pow (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2)) (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (log (+ 1 (exp (/ (neg x) s)))) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x s) (/ 1/2 s)) (/ 1 s)) x) 2) (- (* (/ x s) (/ 1/2 s)) (/ 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) (exp (/ (neg x) s)) (* x (/ (/ x s) s)) (/ (/ x s) s) (* (/ x s) (/ 1/2 s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
4.0ms	x	@	0	((pow (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2)) (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (log (+ 1 (exp (/ (neg x) s)))) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x s) (/ 1/2 s)) (/ 1 s)) x) 2) (- (* (/ x s) (/ 1/2 s)) (/ 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) (exp (/ (neg x) s)) (* x (/ (/ x s) s)) (/ (/ x s) s) (* (/ x s) (/ 1/2 s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))
3.0ms	s	@	inf	((pow (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2)) (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (log (+ 1 (exp (/ (neg x) s)))) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x s) (/ 1/2 s)) (/ 1 s)) x) 2) (- (* (/ x s) (/ 1/2 s)) (/ 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) (exp (/ (neg x) s)) (* x (/ (/ x s) s)) (/ (/ x s) s) (* (/ x s) (/ 1/2 s)) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x))

simplify158.0ms (2.1%)

Memory

2.2MiB live, 147.2MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	380	1466
1	1280	1260
2	5445	1233
0	8282	1155

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 90

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)))))
(* 1/2 (log 2))
(+ (* -1/4 (/ x s)) (* 1/2 (log 2)))
(+ (* 1/2 (log 2)) (* x (- (* 1/16 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(+ (* 1/2 (log 2)) (* x (- (* x (+ (* -1/384 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(/ x 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))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(+ 1/2 (* -1/6 (/ x 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) (pow s 2))
(/ x (pow s 2))
(* 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)))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(log (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(+ 1 (exp (* -1 (/ x s))))
(* (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))))
(* 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))))))
(exp (* -1 (/ x 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 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))))))
(/ (+ (* 1/4 x) (* 1/2 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))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))
(+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))
(+ (* -1/4 (/ x s)) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 2))))
(+ (* -1/4 (/ x s)) (+ (* 1/12 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (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))))))
(/ (- (* 1/2 (/ x s)) 1) 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))))))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s)))
(+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/4 x)) s)) (* 1/2 (log 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/4 x)) s)) (* 1/2 (log 2)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 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)))
(* -1 (/ (+ 1 (* -1/2 (/ x 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)))
(* 1/2 (log 2))
(*.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32))
(+ (* -1/4 (/ x s)) (* 1/2 (log 2)))
(fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(+ (* 1/2 (log 2)) (* x (- (* 1/16 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (.f32 #s(literal 1/16 binary32) x) s)) s) x (.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(+ (* 1/2 (log 2)) (* x (- (* x (+ (* -1/384 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(fma.f32 (fma.f32 (fma.f32 (.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/384 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 s s))) x (/.f32 #s(literal -1/4 binary32) s)) x (*.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/192 binary32) (.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) x (/.f32 #s(literal -1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))
(/ x s)
(/.f32 x s)
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 (/.f32 x s) #s(literal 1/2 binary32)) #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))
(* 1/2 (/ (pow x 2) (pow s 2)))
(.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #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))
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 (/.f32 x s) #s(literal 1/2 binary32)) #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 (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 1 binary32))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 (/.f32 x s) s))
(/ x (pow s 2))
(/.f32 (/.f32 x s) s)
(* 1/2 (/ x (pow s 2)))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) 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)))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(* 1/4 (/ x s))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(* 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))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) 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))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) 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 (/.f32 #s(literal 1/2 binary32) 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 (/.f32 #s(literal 1/2 binary32) 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 (/.f32 #s(literal 1/2 binary32) 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)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) 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 (/.f32 #s(literal 1/2 binary32) 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 (-.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 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 (/.f32 #s(literal 1/2 binary32) s) s)))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (neg.f32 x)) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #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 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.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))) (neg.f32 x)) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)) (*.f32 s s))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) 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 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) s) 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 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) 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 (fma.f32 #s(literal 2 binary32) s (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 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) s (.f32 (*.f32 #s(literal -1/6 binary32) x) x)) (pow.f32 s #s(literal 3 binary32)))
(+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))
(-.f32 (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1/16 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 1/48 binary32))))) (pow.f32 s #s(literal 3 binary32))))
(+ (* -1/4 (/ x s)) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 2))))
(fma.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 x x)) s)) s))
(+ (* -1/4 (/ x s)) (+ (* 1/12 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 2)))))
(fma.f32 #s(literal -1/12 binary32) (.f32 #s(literal 0 binary32) x) (fma.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (.f32 #s(literal 1/16 binary32) (*.f32 x x)) s)) s)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/8 binary32) (.f32 #s(literal 1/2 binary32) x)) s))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(+.f32 (fma.f32 #s(literal 0 binary32) x (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal 1/8 binary32) (.f32 #s(literal -1/2 binary32) x)) s)) (log.f32 #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 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 (-.f32 (.f32 #s(literal 0 binary32) x) (.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32))) #s(literal -1 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 (*.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 x x) #s(literal 1/2 binary32))) s)) s))
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 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))
(/ (+ (* -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 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 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 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32)))) s) s) #s(literal 0 binary32))) s))
(+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/4 x)) s)) (* 1/2 (log 2)))
(fma.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 x x)) s)) s))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/4 x)) s)) (* 1/2 (log 2)))
(fma.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (fma.f32 #s(literal -1/12 binary32) (.f32 #s(literal 0 binary32) x) (/.f32 (.f32 #s(literal -1/16 binary32) (*.f32 x x)) s))) (neg.f32 s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/8 binary32) (.f32 #s(literal 1/2 binary32) x)) s))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (fma.f32 #s(literal 0 binary32) x (.f32 (.f32 x (/.f32 x s)) #s(literal -1/8 binary32)))) 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)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.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 x x) #s(literal 1/2 binary32))) s)) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 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))

rewrite150.0ms (2%)

Memory

-30.5MiB live, 201.1MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	350
0	88	350
1	292	332
2	1999	323
0	8067	318

Stop Event

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

Counts

25 → 413

Calls

Call 1

Inputs
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
(exp.f32 #s(literal -2 binary32))
(/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
#s(approx (pow (exp -1) (log (+ 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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))
(.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))) (fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.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))
(exp.f32 (/.f32 (neg.f32 x) s))
(*.f32 x (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 x s) s)
(*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) 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 (neg.f32 (neg.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))) (neg.f32 (neg.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))))
(*.f32 (neg.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) (neg.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))))
(*.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))
(sqrt.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(pow.f32 (exp.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal -2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4 binary32)))
(pow.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal 2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4 binary32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4 binary32))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (+.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4 binary32)))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
(fabs.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(+.f32 (cosh.f32 (.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -2 binary32))) (sinh.f32 (.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -2 binary32))))
(+.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(exp.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4 binary32)))))
(exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))))
(exp.f32 (.f32 (.f32 #s(literal -2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4 binary32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal -1 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -4 binary32))) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4 binary32))))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4 binary32)))))
(exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (+.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4 binary32))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) #s(literal 2 binary32)))
(exp.f32 (.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -2 binary32)))
(*.f32 (neg.f32 (exp.f32 #s(literal -1 binary32))) (neg.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (fabs.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32)))
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(/.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 s))
(/.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (neg.f32 s))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x)) (neg.f32 s))
(/.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (neg.f32 s))
(/.f32 (neg.f32 (.f32 #s(literal 1/2 binary32) x)) (.f32 (neg.f32 s) s))
(/.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 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 x)) (.f32 (neg.f32 s) s))
(/.f32 (.f32 (neg.f32 x) #s(literal -1/2 binary32)) (.f32 s s))
(/.f32 (.f32 (neg.f32 x) #s(literal 1/2 binary32)) (.f32 (neg.f32 s) s))
(/.f32 (.f32 x #s(literal -1/2 binary32)) (.f32 (neg.f32 s) s))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
(/.f32 (.f32 #s(literal 1/2 binary32) x) (.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)) 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 (/.f32 x s) s))
(*.f32 x (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s))
(/.f32 (neg.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (neg.f32 s))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x)) (neg.f32 s))
(/.f32 (neg.f32 (.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x)) (.f32 s s))
(/.f32 (neg.f32 (*.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))) (neg.f32 s))
(/.f32 (neg.f32 (.f32 x (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))))) (.f32 s s))
(/.f32 (neg.f32 (neg.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))) (.f32 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) 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) s) (/.f32 (neg.f32 x) s) (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) x))
(fma.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 (neg.f32 x) s) (.f32 x (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) x))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (.f32 x (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32)))))
(fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) x))
(fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (.f32 x (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32)))))
(fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) x))
(fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (.f32 x (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x s) s) (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) x))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x s) s) (.f32 x (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32)))))
(fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) x))
(fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (.f32 x (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32)))))
(fma.f32 (/.f32 (neg.f32 x) s) (/.f32 #s(literal -1/2 binary32) s) (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) x))
(fma.f32 (/.f32 (neg.f32 x) s) (/.f32 #s(literal -1/2 binary32) s) (.f32 x (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32)))))
(fma.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) x))
(fma.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (.f32 x (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32)))))
(+.f32 (.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) x))
(+.f32 (.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32)))))
(*.f32 #s(literal -1/6 binary32) x)
(*.f32 x #s(literal -1/6 binary32))

eval72.0ms (0.9%)

Memory: 37.2MiB live, 82.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 16 490 to 2 528 computations (84.7% saved)

prune34.0ms (0.4%)

Memory

8.6MiB live, 52.3MiB allocated; 5ms collecting garbage

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	489	15	504
Fresh	7	11	18
Picked	3	2	5
Done	0	5	5
Total	499	33	532

Accuracy

100.0%

Counts

532 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	99.9%	(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
	99.7%	(pow.f32 (exp.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal -2 binary32))
▶	99.9%	(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))))
	30.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32))) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	61.3%	(/.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(literal 1 binary32)) s) x #s(literal 2 binary32))))
▶	54.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))))
	56.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	53.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	56.7%	(/.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 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) s)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	57.2%	(/.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))))
✓	56.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓	53.2%	(/.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))))
	56.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x s) (/ 1/2 s)) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
	42.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x s) (/ 1/2 s)) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
✓	42.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	61.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.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))))
	42.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
	17.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
	29.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
	30.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s))))
▶	29.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
	33.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
	99.2%	(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal 2 binary32))))
▶	64.2%	(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
	99.9%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
✓	32.1%	#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶	7.0%	#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
	31.8%	#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
✓	29.4%	#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 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
	23.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (/.f32 (.f32 x x) s) (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
✓	37.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 1 498 to 1 110 computations (25.9% saved)

simplify93.0ms (1.2%)

Memory

-9.1MiB live, 48.4MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))
cost-diff	1	(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
cost-diff	2	(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))))
cost-diff	1	(/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s))
cost-diff	2	(*.f32 s #s(literal 1 binary32))
cost-diff	4	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
cost-diff	0	(.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
cost-diff	0	(/.f32 x s)
cost-diff	0	(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
cost-diff	0	#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
cost-diff	0	#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
cost-diff	0	(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32)))
cost-diff	0	(exp.f32 #s(literal -2 binary32))
cost-diff	0	(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	410
0	90	398
1	162	396
2	505	359
3	2546	359
4	6570	359
0	8125	350

Stop Event

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

Calls

Call 1

Inputs
(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))))
(exp.f32 #s(literal -2 binary32))
#s(literal -2 binary32)
#s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32)))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 1/2 binary32)
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 x s)
x
s
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))
(.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))
(/.f32 (.f32 x x) (.f32 s s))
(*.f32 x x)
x
(*.f32 s s)
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.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 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s))
(-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (*.f32 s #s(literal 1 binary32)))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
(*.f32 (/.f32 #s(literal 1/2 binary32) s) x)
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
x
(*.f32 s #s(literal 1 binary32))
(*.f32 s s)
#s(literal 2 binary32)
(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
#s(literal 2 binary32)
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(expm1.f32 (/.f32 (neg.f32 x) s))

Outputs
(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(exp.f32 #s(literal -2 binary32))
#s(literal -2 binary32)
#s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32)))
#s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal 1/2 binary32)
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 x s)
x
s
#s(literal 1/4 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))
(.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)
(/.f32 (.f32 x x) (.f32 s s))
(*.f32 (/.f32 (/.f32 x s) s) x)
(*.f32 x x)
x
(*.f32 s s)
s
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
(-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (*.f32 s #s(literal 1 binary32)))
(-.f32 (*.f32 #s(literal 1/2 binary32) x) s)
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
(*.f32 #s(literal 1/2 binary32) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) s) x)
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
s
x
(*.f32 s #s(literal 1 binary32))
s
(*.f32 s s)
#s(literal 2 binary32)
(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
#s(literal 1 binary32)
(expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))
(expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
(*.f32 (/.f32 x s) #s(literal -2 binary32))
#s(literal 2 binary32)
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(expm1.f32 (/.f32 (neg.f32 x) s))

localize125.0ms (1.6%)

Memory

-12.1MiB live, 123.5MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03972626953688403	(expm1.f32 (/.f32 (neg.f32 x) s))
accuracy	0.0546875	(/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))
accuracy	0.05747752155338329	(expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))
accuracy	1.6717317705479156	(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.7827065384129807	(fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))
accuracy	3.345805233122166	(/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s))
accuracy	4.259258810854705	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
accuracy	12.326412741215849	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32)))
accuracy	0.05078125	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
accuracy	6.620806950526875	(/.f32 (.f32 x x) (.f32 s s))
accuracy	9.264318438323757	#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))
accuracy	12.326412741215849	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
accuracy	0.0	(/.f32 x s)
accuracy	0.08527391302377368	(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
accuracy	9.42882677015386	#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
accuracy	12.236141552683591	#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
accuracy	0.0	#s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32)))
accuracy	0.03250753162065376	(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))))
accuracy	0.039899684065627994	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	1.5256722496019162	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))

Samples

55.0ms	177×	0	valid
34.0ms	78×	0	exit
1.0ms	1×	5	exit

Compiler

Compiled 295 to 48 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 24.0ms (32.8% of total)

ival-div: 18.0ms (24.6% of total)

ival-exp: 8.0ms (10.9% of total)

ival-pow: 8.0ms (10.9% of total)

ival-add: 4.0ms (5.5% of total)

ival-expm1: 3.0ms (4.1% of total)

ival-sub: 2.0ms (2.7% of total)

ival-log1p: 2.0ms (2.7% of total)

adjust: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

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

series165.0ms (2.2%)

Memory

-8.6MiB live, 133.8MiB allocated; 65ms collecting garbage

Counts

26 → 109

Calls

Call 1

Inputs
(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))))
(exp.f32 #s(literal -2 binary32))
#s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32)))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))
(.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
(*.f32 s #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))
(expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (.f32 x x) (.f32 s s))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))
(expm1.f32 (/.f32 (neg.f32 x) 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)))))
(* 1/2 (log 2))
(+ (* -1/4 (/ x s)) (* 1/2 (log 2)))
(+ (* 1/2 (log 2)) (* x (- (* 1/16 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(+ (* 1/2 (log 2)) (* x (- (* x (+ (* -1/384 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* 1/4 (/ x s))
(/ x 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))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 x)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(* -2 (/ x s))
(* -1/2 (/ s x))
(/ (+ (* -1/2 s) (* -1/2 x)) x)
(/ (+ (* -1/2 s) (* x (- (* -1/6 (/ x s)) 1/2))) x)
(/ (+ (* -1/2 s) (* x (- (* x (- (* 1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s)))) 1/2))) x)
(* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 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) (pow s 2))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(+ 1 (exp (* -1 (/ x s))))
(* (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 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(- (exp (* -2 (/ x s))) 1)
(log (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(- (exp (* -1 (/ x s))) 1)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(/ (+ (* 1/4 x) (* 1/2 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))
s
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))
(+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))
(+ (* -1/4 (/ x s)) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 2))))
(+ (* -1/4 (/ x s)) (+ (* 1/12 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 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))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* -1/3 x) (* 1/2 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* -1/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (* x (+ (* -1/3 x) (* 1/2 x))))) (pow s 3))) (+ (* -1/3 (/ x (pow s 2))) (+ (* 1/2 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 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 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s)))
(+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/4 x)) s)) (* 1/2 (log 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/4 x)) s)) (* 1/2 (log 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))
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(* -1 (* s (+ (* -1 (/ (- (+ (* -1/2 (/ x s)) (* 1/3 (/ x s))) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/2 x) (* 1/3 x))) s)) (+ (* -1/3 (/ (pow x 2) s)) (* 1/6 (/ (pow x 2) s)))) (+ (* -1/2 x) (* 1/3 x))) s)) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) 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)))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))

Calls

6 calls:

Time	Variable		Point	Expression
93.0ms	x	@	inf	((pow (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2)) (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (* (log (+ 1 (exp (/ (neg x) s)))) 1/2) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ (* x x) (* s s)) 1/2) (* (* (/ 1/2 s) x) s) (* s 1) (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (* (/ 1 (- (exp (* 2 (/ (neg x) s))) 1)) (- (exp (/ (neg x) s)) 1)) (* 2 (/ (neg x) s)) (/ 1 (- (exp (* 2 (/ (neg x) s))) 1)) (- (exp (* 2 (/ (neg x) s))) 1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (* x x) (* s s)) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) x) 2) (- (exp (/ (neg x) s)) 1))
29.0ms	x	@	-inf	((pow (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2)) (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (* (log (+ 1 (exp (/ (neg x) s)))) 1/2) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ (* x x) (* s s)) 1/2) (* (* (/ 1/2 s) x) s) (* s 1) (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (* (/ 1 (- (exp (* 2 (/ (neg x) s))) 1)) (- (exp (/ (neg x) s)) 1)) (* 2 (/ (neg x) s)) (/ 1 (- (exp (* 2 (/ (neg x) s))) 1)) (- (exp (* 2 (/ (neg x) s))) 1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (* x x) (* s s)) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) x) 2) (- (exp (/ (neg x) s)) 1))
27.0ms	s	@	0	((pow (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2)) (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (* (log (+ 1 (exp (/ (neg x) s)))) 1/2) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ (* x x) (* s s)) 1/2) (* (* (/ 1/2 s) x) s) (* s 1) (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (* (/ 1 (- (exp (* 2 (/ (neg x) s))) 1)) (- (exp (/ (neg x) s)) 1)) (* 2 (/ (neg x) s)) (/ 1 (- (exp (* 2 (/ (neg x) s))) 1)) (- (exp (* 2 (/ (neg x) s))) 1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (* x x) (* s s)) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) x) 2) (- (exp (/ (neg x) s)) 1))
5.0ms	x	@	0	((pow (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2)) (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (* (log (+ 1 (exp (/ (neg x) s)))) 1/2) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ (* x x) (* s s)) 1/2) (* (* (/ 1/2 s) x) s) (* s 1) (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (* (/ 1 (- (exp (* 2 (/ (neg x) s))) 1)) (- (exp (/ (neg x) s)) 1)) (* 2 (/ (neg x) s)) (/ 1 (- (exp (* 2 (/ (neg x) s))) 1)) (- (exp (* 2 (/ (neg x) s))) 1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (* x x) (* s s)) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) x) 2) (- (exp (/ (neg x) s)) 1))
4.0ms	s	@	inf	((pow (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2)) (exp -2) (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (* (log (+ 1 (exp (/ (neg x) s)))) 1/2) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ (* x x) (* s s)) 1/2) (* (* (/ 1/2 s) x) s) (* s 1) (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (* (/ 1 (- (exp (* 2 (/ (neg x) s))) 1)) (- (exp (/ (neg x) s)) 1)) (* 2 (/ (neg x) s)) (/ 1 (- (exp (* 2 (/ (neg x) s))) 1)) (- (exp (* 2 (/ (neg x) s))) 1) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (* x x) (* s s)) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) x) 2) (- (exp (/ (neg x) s)) 1))

simplify159.0ms (2.1%)

Memory

3.6MiB live, 143.7MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	556	2007
1	1910	1743
2	7803	1704
0	8268	1577

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 108

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)))))
(* 1/2 (log 2))
(+ (* -1/4 (/ x s)) (* 1/2 (log 2)))
(+ (* 1/2 (log 2)) (* x (- (* 1/16 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(+ (* 1/2 (log 2)) (* x (- (* x (+ (* -1/384 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* 1/4 (/ x s))
(/ x 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))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* 1/2 x)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(* -2 (/ x s))
(* -1/2 (/ s x))
(/ (+ (* -1/2 s) (* -1/2 x)) x)
(/ (+ (* -1/2 s) (* x (- (* -1/6 (/ x s)) 1/2))) x)
(/ (+ (* -1/2 s) (* x (- (* x (- (* 1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s)))) 1/2))) x)
(* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 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) (pow s 2))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(+ 1 (exp (* -1 (/ x s))))
(* (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 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(- (exp (* -2 (/ x s))) 1)
(log (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(- (exp (* -1 (/ x s))) 1)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(/ (+ (* 1/4 x) (* 1/2 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))
s
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))
(+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))
(+ (* -1/4 (/ x s)) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 2))))
(+ (* -1/4 (/ x s)) (+ (* 1/12 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 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))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* -1/3 x) (* 1/2 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* -1/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (* x (+ (* -1/3 x) (* 1/2 x))))) (pow s 3))) (+ (* -1/3 (/ x (pow s 2))) (+ (* 1/2 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 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 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s)))
(+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/4 x)) s)) (* 1/2 (log 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/4 x)) s)) (* 1/2 (log 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))
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(* -1 (* s (+ (* -1 (/ (- (+ (* -1/2 (/ x s)) (* 1/3 (/ x s))) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/2 x) (* 1/3 x))) s)) (+ (* -1/3 (/ (pow x 2) s)) (* 1/6 (/ (pow x 2) s)))) (+ (* -1/2 x) (* 1/3 x))) s)) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) 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)))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 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 #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)))
(* 1/2 (log 2))
(*.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32))
(+ (* -1/4 (/ x s)) (* 1/2 (log 2)))
(fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(+ (* 1/2 (log 2)) (* x (- (* 1/16 (/ x (pow s 2))) (* 1/4 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (.f32 #s(literal 1/16 binary32) x) s)) s) x (.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(+ (* 1/2 (log 2)) (* x (- (* x (+ (* -1/384 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(fma.f32 (fma.f32 (fma.f32 (.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/384 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 s s))) x (/.f32 #s(literal -1/4 binary32) s)) x (*.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(* 1/4 (/ x s))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(/ x s)
(/.f32 x s)
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 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))
(* 1/2 (/ (pow x 2) (pow s 2)))
(.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
(* -2 (/ x s))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
(* -1/2 (/ s x))
(*.f32 (/.f32 s x) #s(literal -1/2 binary32))
(/ (+ (* -1/2 s) (* -1/2 x)) x)
(*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 s x) x))
(/ (+ (* -1/2 s) (* x (- (* -1/6 (/ x s)) 1/2))) x)
(/.f32 (fma.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) x (.f32 #s(literal -1/2 binary32) s)) x)
(/ (+ (* -1/2 s) (* x (- (* x (- (* 1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s)))) 1/2))) x)
(/.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal 1/90 binary32) (.f32 x (/.f32 x (pow.f32 s #s(literal 3 binary32)))) (/.f32 #s(literal -1/6 binary32) s)) x) #s(literal 1/2 binary32)) x (*.f32 #s(literal -1/2 binary32) s)) x)
(* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x s) #s(literal -2 binary32)) s) x)
(* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(.f32 (fma.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -4/3 binary32) x) s)) (*.f32 s s)) x (/.f32 #s(literal -2 binary32) s)) x)
(* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 4 binary32))) #s(literal 2/3 binary32) (/.f32 #s(literal -4/3 binary32) (pow.f32 s #s(literal 3 binary32)))) x (/.f32 (/.f32 #s(literal 2 binary32) s) s)) x (/.f32 #s(literal -2 binary32) s)) x)
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/192 binary32) (.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) x (/.f32 #s(literal -1/2 binary32) s)) x (log.f32 #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 x s)) #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 (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 1 binary32))
(/ (pow x 2) (pow s 2))
(*.f32 x (/.f32 (/.f32 x s) s))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x)
(* x (- (* 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)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x)
(* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(.f32 (-.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 x (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(* 1/2 (log (+ 1 (exp (* -1 (/ x s))))))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))
(* 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))
(* (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 (/ x (pow s 2)))
(*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))
(* 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) x) s)) x)
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))
(- (exp (* -2 (/ x s))) 1)
(expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (/.f32 (neg.f32 x) s))
(* (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 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(.f32 (neg.f32 x) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (.f32 s 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 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (.f32 s x)) (.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (.f32 (.f32 #s(literal 1/2 binary32) x) x)) (*.f32 s s))
s
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)
(+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2)))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3))))))
(-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1/16 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 1/48 binary32))))) (pow.f32 s #s(literal 3 binary32))))
(+ (* -1/4 (/ x s)) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 2))))
(fma.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 x x)) s)) s))
(+ (* -1/4 (/ x s)) (+ (* 1/12 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (log 2)))))
(fma.f32 (.f32 #s(literal 0 binary32) x) #s(literal 1/12 binary32) (fma.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (.f32 #s(literal 1/16 binary32) (*.f32 x x)) s)) 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))))))
(fma.f32 (-.f32 (.f32 #s(literal 0 binary32) x) (.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32))) #s(literal -1 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 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 1/12 binary32) (.f32 x (/.f32 x s)) (.f32 #s(literal -1/4 binary32) x)) s) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 x x) (.f32 #s(literal -1/4 binary32) (.f32 x x))) (.f32 s s))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
(-.f32 (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (/.f32 (fma.f32 #s(literal 1/12 binary32) (.f32 x (/.f32 x s)) (.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) x) x (/.f32 (.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) x) x (.f32 (.f32 #s(literal 1/4 binary32) x) x)) x) s)) (.f32 s s)) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (.f32 #s(literal 1/3 binary32) x) x (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)) #s(literal 2/3 binary32)) s)) (.f32 s s))))))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/2 binary32) s)) (neg.f32 s))
(* s (- (* -1 (/ (+ (* -1/3 x) (* 1/2 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(.f32 (-.f32 (/.f32 (+.f32 (/.f32 (.f32 (neg.f32 x) #s(literal 1/6 binary32)) s) #s(literal -1/2 binary32)) s) (/.f32 #s(literal 1/2 binary32) x)) s)
(* s (- (* -1 (/ (+ (* -1/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (* x (+ (* -1/3 x) (* 1/2 x))))) (pow s 3))) (+ (* -1/3 (/ x (pow s 2))) (+ (* 1/2 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))))
(.f32 (-.f32 (/.f32 (fma.f32 (.f32 x x) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/6 binary32) x) x)) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) x) s) #s(literal 1/2 binary32)) s) (/.f32 #s(literal -1/2 binary32) x))) s)
(/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)
(/.f32 (.f32 #s(literal -2 binary32) (-.f32 x (.f32 x (/.f32 x s)))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)
(/.f32 (fma.f32 #s(literal -2 binary32) x (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) x) x (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -4/3 binary32))) s)) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)
(/.f32 (fma.f32 #s(literal -2 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 s #s(literal 3 binary32))) #s(literal 2/3 binary32) (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) x) x (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -4/3 binary32))) s))) s)
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal 1/8 binary32) (.f32 #s(literal -1/2 binary32) x)) s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(+.f32 (fma.f32 (.f32 #s(literal 0 binary32) x) #s(literal 1/6 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/2 binary32) x)) s)) (log.f32 #s(literal 2 binary32)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 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 #s(literal 1/2 binary32) x) x)) s)) s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s))
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)
(/.f32 (+.f32 (neg.f32 x) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 s #s(literal 3 binary32))) #s(literal 1/24 binary32) (/.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 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 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 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (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 (fma.f32 #s(literal 0 binary32) x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32)))) s) #s(literal -1/2 binary32) #s(literal 0 binary32)) (neg.f32 s))) s))
(+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/4 x)) s)) (* 1/2 (log 2)))
(fma.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) s)) (neg.f32 s)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/4 x)) s)) (* 1/2 (log 2)))
(fma.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (/.f32 (fma.f32 (.f32 #s(literal 0 binary32) x) #s(literal -1/12 binary32) (.f32 #s(literal 1/16 binary32) (*.f32 x x))) (neg.f32 s))) (neg.f32 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 (-.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 (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)) (neg.f32 s))
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) x) x (.f32 (*.f32 #s(literal 1/4 binary32) x) x)) (neg.f32 s))) s))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (+.f32 (/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -7/48 binary32)) (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) x) x (.f32 (.f32 #s(literal 1/4 binary32) x) x)) x (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/4 binary32)) #s(literal 2/3 binary32)))) (neg.f32 s)) (fma.f32 (.f32 #s(literal -1/4 binary32) x) x (.f32 (*.f32 #s(literal 1/4 binary32) x) x))) (neg.f32 s))) s))
(* -1 (* s (+ (* -1 (/ (- (+ (* -1/2 (/ x s)) (* 1/3 (/ x s))) 1/2) s)) (* 1/2 (/ 1 x)))))
(*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) s) #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) x)) (neg.f32 s))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/2 x) (* 1/3 x))) s)) (+ (* -1/3 (/ (pow x 2) s)) (* 1/6 (/ (pow x 2) s)))) (+ (* -1/2 x) (* 1/3 x))) s)) 1/2) s)) (* 1/2 (/ 1 x)))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 x (/.f32 x s)) x) (.f32 (neg.f32 x) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) (neg.f32 s)) #s(literal 1/2 binary32)) (neg.f32 s)) (/.f32 #s(literal -1/2 binary32) x)) (neg.f32 s))
(* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))
(/.f32 (.f32 #s(literal -2 binary32) (-.f32 (.f32 x (/.f32 x s)) x)) (neg.f32 s))
(* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(/.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) x) x (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -4/3 binary32))) (neg.f32 s))) (neg.f32 s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(/.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) x) x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal -2/3 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4/3 binary32))) (neg.f32 s))) (neg.f32 s))) (neg.f32 s))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/8 binary32) (.f32 #s(literal 1/2 binary32) x)) s))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (fma.f32 #s(literal 0 binary32) x (.f32 #s(literal 1/8 binary32) (.f32 x x))) (neg.f32 s))) s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 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 #s(literal 1/2 binary32) x) x)) s)) s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(/.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)) (neg.f32 s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))
(/.f32 (-.f32 x (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal -1/24 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) (neg.f32 s))) s)) (neg.f32 s))

rewrite205.0ms (2.7%)

Memory

23.7MiB live, 211.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	350
0	90	340
1	304	327
2	1976	297
0	8191	295

Stop Event

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

Counts

26 → 541

Calls

Call 1

Inputs
(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))))
(exp.f32 #s(literal -2 binary32))
#s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32)))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(*.f32 (/.f32 x s) #s(literal 1/4 binary32))
(/.f32 x s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))
(.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
(*.f32 s #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))
(expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (.f32 x x) (.f32 s s))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))
(expm1.f32 (/.f32 (neg.f32 x) s))

Outputs
(.f32 (neg.f32 (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))))) (neg.f32 (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))))))
(.f32 (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))) (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))))
(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) (sqrt.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))))
(pow.f32 (exp.f32 #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal -2 binary32))
(pow.f32 (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32)))
(pow.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (.f32 (/.f32 #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (/.f32 #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (+.f32 #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(fabs.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))
(+.f32 (cosh.f32 (.f32 #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal -2 binary32))) (sinh.f32 (.f32 #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal -2 binary32))))
(exp.f32 (fma.f32 #s(literal -2 binary32) (/.f32 #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32)) (.f32 #s(literal -2 binary32) (/.f32 #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32)))))
(exp.f32 (.f32 (.f32 #s(literal -2 binary32) (/.f32 #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (log.f32 (exp.f32 #s(literal -4 binary32))) (/.f32 #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32))))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))) #s(literal 2 binary32)))
(exp.f32 (.f32 #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32)))))
(exp.f32 (.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal 2 binary32))))
(exp.f32 (.f32 #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (.f32 #s(literal 1/2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal -2 binary32)))
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(*.f32 (fabs.f32 (exp.f32 #s(literal -1 binary32))) (fabs.f32 (exp.f32 #s(literal -1 binary32))))
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(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #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 2 binary32)))
(/.f32 (-.f32 (.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) (.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 1 binary32))) (.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(/.f32 (.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (+.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))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(-.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32)) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(-.f32 (exp.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)))

eval73.0ms (1%)

Memory: -3.5MiB live, 141.6MiB allocated; 17ms collecting garbage
Compiler: Compiled 20 265 to 3 079 computations (84.8% saved)

prune41.0ms (0.5%)

Memory

5.0MiB live, 97.8MiB allocated; 5ms collecting garbage

Pruning

38 alts after pruning (28 fresh and 10 done)

	Pruned	Kept	Total
New	628	12	640
Fresh	5	16	21
Picked	2	3	5
Done	0	7	7
Total	635	38	673

Accuracy

100.0%

Counts

673 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	99.9%	(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
✓	99.9%	(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))))
	64.2%	(/.f32 (.f32 (expm1.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	27.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)) (.f32 s s) (.f32 (.f32 (neg.f32 s) s) (neg.f32 s))) (.f32 (.f32 (neg.f32 s) s) (.f32 s s))) x #s(literal 2 binary32))))
	61.3%	(/.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(literal 1 binary32)) s) x #s(literal 2 binary32))))
	54.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) s) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))))
	54.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) s) (*.f32 s s)) x #s(literal 2 binary32))))
	54.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 #s(approx (* (* (/ 1/2 s) x) s) (.f32 #s(literal 1/2 binary32) x)) (.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))))
	56.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	53.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	56.7%	(/.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 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) s)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	57.2%	(/.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))))
✓	56.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓	53.2%	(/.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))))
	56.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
	42.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s 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))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
✓	42.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	61.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.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))))
	42.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
	17.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))
	29.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
✓	29.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32)))))
	30.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s)))))
	33.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
	30.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) s)))))
	99.2%	(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal 2 binary32))))
	64.1%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
	99.9%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
✓	32.1%	#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
✓	7.0%	#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))
	31.8%	#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))
✓	29.4%	#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 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
	23.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (/.f32 (.f32 x x) s) (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
✓	37.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
	64.2%	#s(approx (* (/ 1 (- (exp (* 2 (/ (neg x) s))) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))

Compiler

Compiled 2 753 to 1 113 computations (59.6% saved)

regimes126.0ms (1.7%)

Memory

-14.3MiB live, 179.4MiB allocated; 28ms collecting garbage

Counts

60 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 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 (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.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))) (-.f32 #s(literal 2 binary32) (/.f32 x 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 #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 (- (* (/ x s) (/ 1/2 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))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #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) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 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) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 #s(approx (* (* (/ 1/2 s) x) s) (.f32 #s(literal 1/2 binary32) x)) (.f32 s #s(literal 1 binary32))) (*.f32 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 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) 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 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x s) (/ 1/2 s)) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 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(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 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) 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 #s(approx (* (/ 1/2 (* s s)) x) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) 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 x s) (/.f32 #s(literal 1/2 binary32) 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) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (/.f32 (.f32 x x) s) (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.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 (.f32 #s(literal 1/2 binary32) x) s) s) (.f32 s #s(literal 1 binary32))) (.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(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(literal -1/2 binary32)) s) (.f32 (.f32 (neg.f32 s) s) #s(literal 1 binary32))) (.f32 (.f32 (neg.f32 s) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.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))))
(/.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 #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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #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 (+.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 (+ 1/2 (/ ( -1/6 x) s)) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) 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 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)) (.f32 s s) (.f32 (.f32 (neg.f32 s) s) (neg.f32 s))) (.f32 (.f32 (neg.f32 s) s) (.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#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 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
#s(approx (* (/ 1 (- (exp (* 2 (/ (neg x) s))) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (.f32 (expm1.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal -2 binary32))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32))) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))))
(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))) (/.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))) (-.f32 (.f32 (/.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))) (/.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))) (.f32 (/.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))))) (/.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (-.f32 (cosh.f32 (/.f32 (+.f32 x x) s)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))))))))))

Outputs
(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))))

Calls

7 calls:

42.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
16.0ms	s
15.0ms	(neg.f32 x)
14.0ms	x
13.0ms	(/.f32 (neg.f32 x) s)

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)

regimes101.0ms (1.3%)

Memory

30.5MiB live, 76.2MiB allocated; 5ms collecting garbage

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 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 (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.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))) (-.f32 #s(literal 2 binary32) (/.f32 x 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 #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 (- (* (/ x s) (/ 1/2 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))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #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) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 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) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 #s(approx (* (* (/ 1/2 s) x) s) (.f32 #s(literal 1/2 binary32) x)) (.f32 s #s(literal 1 binary32))) (*.f32 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 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) 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 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x s) (/ 1/2 s)) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 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(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 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) 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 #s(approx (* (/ 1/2 (* s s)) x) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) 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 x s) (/.f32 #s(literal 1/2 binary32) 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) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (/.f32 (.f32 x x) s) (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.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 (.f32 #s(literal 1/2 binary32) x) s) s) (.f32 s #s(literal 1 binary32))) (.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(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(literal -1/2 binary32)) s) (.f32 (.f32 (neg.f32 s) s) #s(literal 1 binary32))) (.f32 (.f32 (neg.f32 s) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.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))))
(/.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 #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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #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 (+.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 (+ 1/2 (/ ( -1/6 x) s)) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) 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 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)) (.f32 s s) (.f32 (.f32 (neg.f32 s) s) (neg.f32 s))) (.f32 (.f32 (neg.f32 s) s) (.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#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 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
#s(approx (* (/ 1 (- (exp (* 2 (/ (neg x) s))) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (.f32 (expm1.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))

Outputs
(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))

Calls

7 calls:

32.0ms	x
13.0ms	s
13.0ms	(neg.f32 x)
12.0ms	(/.f32 (neg.f32 x) s)
10.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

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)

regimes115.0ms (1.5%)

Memory

-2.7MiB live, 93.6MiB allocated; 9ms collecting garbage

Counts

50 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 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 (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.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))) (-.f32 #s(literal 2 binary32) (/.f32 x 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 #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 (- (* (/ x s) (/ 1/2 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))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #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) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 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) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 #s(approx (* (* (/ 1/2 s) x) s) (.f32 #s(literal 1/2 binary32) x)) (.f32 s #s(literal 1 binary32))) (*.f32 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 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) 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 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x s) (/ 1/2 s)) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 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(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 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) 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 #s(approx (* (/ 1/2 (* s s)) x) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) 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 x s) (/.f32 #s(literal 1/2 binary32) 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) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (/.f32 (.f32 x x) s) (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.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 (.f32 #s(literal 1/2 binary32) x) s) s) (.f32 s #s(literal 1 binary32))) (.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(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(literal -1/2 binary32)) s) (.f32 (.f32 (neg.f32 s) s) #s(literal 1 binary32))) (.f32 (.f32 (neg.f32 s) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.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))))
(/.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 #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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #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 (+.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 (+ 1/2 (/ ( -1/6 x) s)) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) 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 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)) (.f32 s s) (.f32 (.f32 (neg.f32 s) s) (neg.f32 s))) (.f32 (.f32 (neg.f32 s) s) (.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#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 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
#s(approx (* (/ 1 (- (exp (* 2 (/ (neg x) s))) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))

Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

Calls

7 calls:

30.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
30.0ms	s
12.0ms	x
12.0ms	(neg.f32 x)
11.0ms	(/.f32 (neg.f32 x) s)

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)

regimes145.0ms (1.9%)

Memory

14.8MiB live, 99.5MiB allocated; 13ms collecting garbage

Counts

47 → 1

Calls

Call 1

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

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

Calls

7 calls:

51.0ms	s
41.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
11.0ms	x
11.0ms	(neg.f32 x)
10.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
99.8%	1	`(neg.f32 x)`
99.8%	1	`(/.f32 (neg.f32 x) s)`
99.8%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
99.8%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
99.8%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
99.8%	1	`x`
99.8%	1	`s`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes94.0ms (1.2%)

Memory

-20.7MiB live, 77.3MiB allocated; 15ms collecting garbage

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 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 (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.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))) (-.f32 #s(literal 2 binary32) (/.f32 x 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 #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 (- (* (/ x s) (/ 1/2 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))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #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) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 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) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 #s(approx (* (* (/ 1/2 s) x) s) (.f32 #s(literal 1/2 binary32) x)) (.f32 s #s(literal 1 binary32))) (*.f32 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 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) 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 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x s) (/ 1/2 s)) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 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(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 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) 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 #s(approx (* (/ 1/2 (* s s)) x) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) 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 x s) (/.f32 #s(literal 1/2 binary32) 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) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (/.f32 (.f32 x x) s) (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.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 (.f32 #s(literal 1/2 binary32) x) s) s) (.f32 s #s(literal 1 binary32))) (.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(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(literal -1/2 binary32)) s) (.f32 (.f32 (neg.f32 s) s) #s(literal 1 binary32))) (.f32 (.f32 (neg.f32 s) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.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))))
(/.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 #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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #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 (+.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 (+ 1/2 (/ ( -1/6 x) s)) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) 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 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)) (.f32 s s) (.f32 (.f32 (neg.f32 s) s) (neg.f32 s))) (.f32 (.f32 (neg.f32 s) s) (.f32 s s))) x #s(literal 2 binary32))))

Outputs

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

Calls

7 calls:

13.0ms	(/.f32 (neg.f32 x) s)
11.0ms	s
10.0ms	(neg.f32 x)
10.0ms	x
8.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
68.6%	2	`(neg.f32 x)`
68.9%	2	`(/.f32 (neg.f32 x) s)`
68.9%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
68.9%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
68.9%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
68.6%	2	`x`
61.3%	1	`s`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes77.0ms (1%)

Memory

17.7MiB live, 63.4MiB allocated; 2ms collecting garbage

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 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 (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.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))) (-.f32 #s(literal 2 binary32) (/.f32 x 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 #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 (- (* (/ x s) (/ 1/2 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))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #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) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/2 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) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 #s(approx (* (* (/ 1/2 s) x) s) (.f32 #s(literal 1/2 binary32) x)) (.f32 s #s(literal 1 binary32))) (*.f32 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 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) 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 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x s) (/ 1/2 s)) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 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(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 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) 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 #s(approx (* (/ 1/2 (* s s)) x) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) 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 x s) (/.f32 #s(literal 1/2 binary32) 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) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (/.f32 (.f32 x x) s) (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (.f32 s #s(literal 1 binary32))) (.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 (.f32 #s(literal 1/2 binary32) x) s) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))))

Outputs

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

(/.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))))

Calls

6 calls:

38.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
8.0ms	(neg.f32 x)
8.0ms	x
8.0ms	(/.f32 (neg.f32 x) s)
7.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
64.9%	2	`x`
64.9%	2	`(neg.f32 x)`
64.5%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
64.5%	2	`(/.f32 (neg.f32 x) s)`
64.5%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
64.5%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes31.0ms (0.4%)

Memory

-25.0MiB live, 20.6MiB allocated; 3ms collecting garbage

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

23.0ms	(neg.f32 x)
7.0ms	x

Results

Accuracy	Segments	Branch
64.5%	2	`x`
64.5%	2	`(neg.f32 x)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes44.0ms (0.6%)

Memory

1.0MiB live, 48.9MiB allocated; 7ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

15.0ms	(/.f32 (neg.f32 x) s)
5.0ms	s
5.0ms	(neg.f32 x)
5.0ms	x
4.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
54.0%	1	`s`
63.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
63.7%	2	`(/.f32 (neg.f32 x) s)`
63.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
63.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
61.2%	2	`x`
61.2%	2	`(neg.f32 x)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes33.0ms (0.4%)

Memory

-13.1MiB live, 33.0MiB allocated; 2ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

15.0ms	s
3.0ms	x
3.0ms	(neg.f32 x)
3.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
42.0%	1	`s`
49.6%	2	`x`
49.6%	2	`(neg.f32 x)`
49.9%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
49.9%	2	`(/.f32 (neg.f32 x) s)`
49.9%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
49.9%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes11.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB 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 (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 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 (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.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))) (-.f32 #s(literal 2 binary32) (/.f32 x 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 #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 (- (* (/ x s) (/ 1/2 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))) (fma.f32 #s(approx (/ (- (* (* (/ 1/2 s) x) s) (* s 1)) (* s s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)))

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

Calls

4 calls:

3.0ms	(/.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	(+.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
49.9%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
49.9%	2	`(/.f32 (neg.f32 x) s)`
49.9%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
49.9%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes11.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

2.0ms	(neg.f32 x)
2.0ms	x
2.0ms	(/.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))))

Results

Accuracy	Segments	Branch
48.2%	2	`x`
48.2%	2	`(neg.f32 x)`
48.3%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
48.3%	2	`(/.f32 (neg.f32 x) s)`
48.3%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
48.3%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes29.0ms (0.4%)

Memory

-24.8MiB live, 21.5MiB allocated; 2ms collecting garbage

Accuracy

Total -9.7b remaining (-48.1%)

Threshold costs -9.7b (-48.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

18.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms	s
2.0ms	(neg.f32 x)
2.0ms	x
2.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
37.2%	1	`s`
37.2%	1	`x`
37.2%	1	`(neg.f32 x)`
37.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
37.2%	1	`(/.f32 (neg.f32 x) s)`
37.2%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
37.2%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1275696754455566	1.3924953937530518

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.455721383386691e-29	1.135671295509085e-28

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	5.455721383386691e-29	1.135671295509085e-28

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	174436.46875	+inf

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3924953937530518	1.407925009727478

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3924953937530518	1.407925009727478

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0901899337768555	21.6115779876709

Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify55.0ms (0.7%)

Memory

15.1MiB live, 55.3MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	102	371
1	157	371
2	245	371
3	401	369
4	743	367
5	3107	367

Stop Event

1×	node limit

Calls

Call 1

Inputs
(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5033165/4194304 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 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(literal 1 binary32)) s) x #s(literal 2 binary32)))))
(if (<=.f32 (neg.f32 x) #s(literal 8307675/83076749736557242056487941267521536 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.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)))))
(if (<=.f32 (neg.f32 x) #s(literal 8307675/83076749736557242056487941267521536 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 #s(approx (* (* (/ 1/2 s) x) s) (.f32 #s(literal 1/2 binary32) x)) (.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 200000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 11744051/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 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)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 11744051/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #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)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.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(literal 1/2 binary32))

Outputs
(pow.f32 (exp.f32 #s(literal -2 binary32)) #s(approx (/ (log (+ 1 (exp (/ (neg x) s)))) 2) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (E.f32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5033165/4194304 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 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(literal 1 binary32)) s) x #s(literal 2 binary32)))))
(if (<=.f32 (neg.f32 x) #s(literal 8307675/83076749736557242056487941267521536 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.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)))))
(if (<=.f32 (neg.f32 x) #s(literal 8307675/83076749736557242056487941267521536 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 #s(approx (* (* (/ 1/2 s) x) s) (.f32 #s(literal 1/2 binary32) x)) (.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))))
(if (<=.f32 (neg.f32 x) #s(literal 8307675/83076749736557242056487941267521536 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 #s(approx (* (* (/ 1/2 s) x) s) (.f32 #s(literal 1/2 binary32) x)) s) (.f32 s s)) x #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 200000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 11744051/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 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)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 11744051/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #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)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.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(literal 1/2 binary32))

derivations1.2s (16.2%)

Memory

28.1MiB live, 718.7MiB allocated; 102ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	380	1466
1	1280	1260
2	5445	1233
0	8282	1155
0	37	194
0	60	194
1	203	191
2	1312	183
0	8191	183
0	556	2007
1	1910	1743
2	7803	1704
0	8268	1577
0	323	1125
1	1075	952
2	4569	938
0	8177	880
0	140	377
1	435	345
2	1607	341
0	8697	311
0	8	27
0	13	27
1	43	27
2	218	27
3	2032	27
0	9071	27
0	56	350
0	88	350
1	292	332
2	1999	323
0	8067	318

Stop Event

1×	fuel
1×	iter limit
1×	node limit
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

Compiler

Compiled 371 to 104 computations (72% saved)

preprocess44.0ms (0.6%)

Memory: 8.3MiB live, 55.4MiB allocated; 2ms collecting garbage
Compiler: Compiled 760 to 224 computations (70.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze86.0ms (1.1%)

sample1.4s (18.3%)

explain91.0ms (1.2%)

preprocess127.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify99.0ms (1.3%)

localize21.0ms (0.3%)

series9.0ms (0.1%)

simplify151.0ms (2%)

rewrite179.0ms (2.3%)

eval58.0ms (0.8%)

prune32.0ms (0.4%)

simplify107.0ms (1.4%)

localize403.0ms (5.3%)

series162.0ms (2.1%)

simplify186.0ms (2.4%)

rewrite246.0ms (3.2%)

eval96.0ms (1.3%)

prune27.0ms (0.3%)

simplify118.0ms (1.5%)

localize447.0ms (5.8%)

series167.0ms (2.2%)

simplify158.0ms (2.1%)

rewrite150.0ms (2%)

eval72.0ms (0.9%)

prune34.0ms (0.4%)

simplify93.0ms (1.2%)

localize125.0ms (1.6%)

series165.0ms (2.2%)

simplify159.0ms (2.1%)

rewrite205.0ms (2.7%)

eval73.0ms (1%)

prune41.0ms (0.5%)

regimes126.0ms (1.7%)

regimes101.0ms (1.3%)

regimes115.0ms (1.5%)

regimes145.0ms (1.9%)

regimes94.0ms (1.2%)

regimes77.0ms (1%)

regimes31.0ms (0.4%)

regimes44.0ms (0.6%)

regimes33.0ms (0.4%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes29.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify55.0ms (0.7%)

derivations1.2s (16.2%)

preprocess44.0ms (0.6%)

end0.0ms (0%)

Profiling