Metrics for Logistic function

start0.0ms (0%)

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

analyze76.0ms (1.1%)

Memory

-3.4MiB live, 57.5MiB allocated; 45ms 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)

sample1.2s (16.7%)

Memory

61.4MiB live, 1 237.0MiB allocated; 456ms collecting garbage

Samples

907.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 690.0ms

const: 239.0ms (34.7% of total)

ival-div: 137.0ms (19.9% of total)

ival-<=: 119.0ms (17.3% of total)

ival-exp: 72.0ms (10.4% of total)

ival-neg: 49.0ms (7.1% of total)

ival-add: 43.0ms (6.2% of total)

exact: 12.0ms (1.7% of total)

ival-and: 11.0ms (1.6% of total)

ival-assert: 3.0ms (0.4% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain129.0ms (1.8%)

Memory

-8.4MiB live, 99.3MiB allocated; 86ms 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	(7.131334495567485e-16 4.763895275092947e-18)	-	`(exp.f32 (/.f32 (neg.f32 x) s))`
0	-	-	`(/.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	0

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	2	0	254

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

75.0ms

512×

valid

Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 11.0ms (52.5% of total)

ival-exp: 4.0ms (19.1% of total)

ival-neg: 3.0ms (14.3% of total)

ival-add: 2.0ms (9.5% 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)

preprocess114.0ms (1.6%)

Memory

-7.9MiB live, 83.9MiB allocated; 20ms 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

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

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify81.0ms (1.1%)

Memory

20.3MiB live, 63.8MiB allocated; 8ms 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

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f32 x)
accuracy	0.02734375	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.028007519536884032	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.03125	(/.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: 8.0ms

ival-div: 3.0ms (35.7% of total)

ival-exp: 2.0ms (23.8% of total)

ival-add: 1.0ms (11.9% of total)

ival-neg: 1.0ms (11.9% 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)

series31.0ms (0.4%)

Memory

-32.5MiB live, 18.8MiB allocated; 15ms 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
24.0ms	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))

simplify141.0ms (2%)

Memory

15.8MiB live, 136.2MiB allocated; 43ms 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)))

rewrite576.0ms (8.1%)

Memory

-49.6MiB live, 220.1MiB allocated; 1.1s 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))))
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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)

eval64.0ms (0.9%)

Memory: -14.5MiB live, 93.0MiB allocated; 16ms collecting garbage
Compiler: Compiled 17 059 to 1 687 computations (90.1% saved)

prune17.0ms (0.2%)

Memory

-9.5MiB live, 36.4MiB allocated; 5ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	460	13	473
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	460	14	474

Accuracy

100.0%

Counts

474 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.4%	(/.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))))
▶	63.1%	(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
	99.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	54.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
▶	57.3%	(/.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))))
	54.0%	(/.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))))
▶	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))))
	43.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	65.0%	(.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)))
	28.1%	#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))))
	31.4%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶	37.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 467 to 362 computations (22.5% saved)

simplify113.0ms (1.6%)

Memory

-16.8MiB live, 91.7MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(cosh.f32 (/.f32 x s))
cost-diff	0	(+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32))
cost-diff	1	(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
cost-diff	4	(-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s)))
cost-diff	0	(-.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))
cost-diff	0	(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))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.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 (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))))
cost-diff	0	(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)
cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) 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 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
cost-diff	1	(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	312
0	70	308
1	123	300
2	286	300
3	868	300
4	3370	300
0	8521	300

Stop Event

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

Calls

Call 1

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

Outputs
(exp.f32 (*.f32 (log1p.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 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(neg.f32 (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 binary32)
#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 (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 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))
#s(literal 2 binary32)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)
(/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x)
(fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(*.f32 (/.f32 x s) x)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (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)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 (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))
(fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(-.f32 (.f32 (/.f32 (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))
(-.f32 (*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x)
(*.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s))
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
#s(literal 1 binary32)
(-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s)))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32))
(cosh.f32 (/.f32 x s))
(/.f32 x s)
x
s
(sinh.f32 (/.f32 x s))

localize427.0ms (6%)

Memory

1.6MiB live, 328.0MiB allocated; 33ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.029628759768442016	(cosh.f32 (/.f32 x s))
accuracy	0.03125	(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
accuracy	0.03582001953688403	(sinh.f32 (/.f32 x s))
accuracy	0.4964571139881778	(-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s)))
accuracy	0.08431625976844201	(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s))
accuracy	0.35633221667779846	(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))
accuracy	2.0410424800217886	#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)))
accuracy	2.164333489035853	(.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x)
accuracy	0.03125	(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)
accuracy	0.03125	(/.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))))
accuracy	0.0625	(*.f32 (/.f32 x s) x)
accuracy	2.0369571914306523	#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)))
accuracy	2.5031122400482126	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy	0.0	(neg.f32 x)
accuracy	0.0234375	(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
accuracy	0.028007519536884032	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	1.0554718841234676	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))

Samples

329.0ms	89×	5	exit
22.0ms	82×	0	valid
20.0ms	81×	0	exit
3.0ms	4×	1	valid

Compiler

Compiled 261 to 38 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 337.0ms

ival-cosh: 64.0ms (19% of total)

ival-mult: 63.0ms (18.7% of total)

ival-sinh: 58.0ms (17.2% of total)

adjust: 48.0ms (14.2% of total)

ival-div: 37.0ms (11% of total)

ival-log1p: 17.0ms (5% of total)

ival-exp: 16.0ms (4.7% of total)

ival-add: 16.0ms (4.7% of total)

ival-sub: 8.0ms (2.4% of total)

const: 6.0ms (1.8% of total)

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

exact: 1.0ms (0.3% of total)

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

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

series159.0ms (2.2%)

Memory

6.6MiB live, 143.8MiB allocated; 30ms collecting garbage

Counts

22 → 137

Calls

Call 1

Inputs
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #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 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
#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 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))
(/.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))) (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))))
#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)))
(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 (.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))
(-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
(+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32))
(cosh.f32 (/.f32 x s))
(neg.f32 x)
(*.f32 (/.f32 x s) x)
(.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s))
(sinh.f32 (/.f32 x s))

Outputs
(* -1 (log 2))
(+ (* -1 (log 2)) (* 1/2 (/ x s)))
(+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
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)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))
(+ 2 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))
(+ 1 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))
(* -1 x)
(/ (pow x 2) s)
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(/ 1/2 (pow s 2))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(* x (+ (* 1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))
(* x (+ (* (pow x 2) (+ (* 1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/5040 (/ (pow x 2) (pow s 7))) (* 1/120 (/ 1 (pow s 5))))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))))
(/ 1 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
(+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))))
(* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))
(* -1/6 (/ x (pow s 3)))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ 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))))))
(+ (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))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(+ 2 (* -1/2 (/ (- x (* -1 x)) s)))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2)))))
(- (+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))))))
(+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (pow s 2)))) (* -1/8 (/ (- x (* -1 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* 1/4 (* (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- x (* -1 x)))) (* 1/4 (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))) (pow s 3)))) (+ (* -1/8 (/ (- x (* -1 x)) s)) (+ (* -1/32 (/ (pow (- x (* -1 x)) 2) (pow s 2))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (pow s 2))))))
(+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (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 (* -1/6 (/ x s))) (pow s 2))
(* 1/2 (/ (- x (* -1 x)) s))
(/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))) s)
(/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s)
(/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 3))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s)
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) 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)))
(+ (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)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(+ 2 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (pow x 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))
(+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) s)) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (* -1/8 (- (* -1 x) x))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (- (* -1 x) x) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (+ (* 1/4 (/ (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- (* -1 x) x)) s)) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)))) (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* -1/8 (- (* -1 x) x))) s)))
(+ 2 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(* -1/2 (/ (- (* -1 x) x) s))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) s)) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))

Calls

6 calls:

Time	Variable		Point	Expression
69.0ms	x	@	inf	((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -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 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (cosh (/ x s)) 1) (cosh (/ x s)) (neg x) (* (/ x s) x) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) (sinh (/ x s)))
27.0ms	s	@	-inf	((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -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 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (cosh (/ x s)) 1) (cosh (/ x s)) (neg x) (* (/ x s) x) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) (sinh (/ x s)))
25.0ms	s	@	0	((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -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 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (cosh (/ x s)) 1) (cosh (/ x s)) (neg x) (* (/ x s) x) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) (sinh (/ x s)))
21.0ms	x	@	-inf	((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -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 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (cosh (/ x s)) 1) (cosh (/ x s)) (neg x) (* (/ x s) x) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) (sinh (/ x s)))
7.0ms	s	@	inf	((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -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 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (cosh (/ x s)) 1) (cosh (/ x s)) (neg x) (* (/ x s) x) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) (sinh (/ x s)))

simplify160.0ms (2.3%)

Memory

28.3MiB live, 173.1MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	630	3228
1	2208	2538
0	9205	2362

Stop Event

1×	iter limit
1×	node limit

Counts

137 → 137

Calls

Call 1

Inputs
(* -1 (log 2))
(+ (* -1 (log 2)) (* 1/2 (/ x s)))
(+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
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)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))
(+ 2 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))
(+ 1 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))
(* -1 x)
(/ (pow x 2) s)
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(/ 1/2 (pow s 2))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(* x (+ (* 1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))
(* x (+ (* (pow x 2) (+ (* 1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/5040 (/ (pow x 2) (pow s 7))) (* 1/120 (/ 1 (pow s 5))))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))))
(/ 1 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
(+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))))
(* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))
(* -1/6 (/ x (pow s 3)))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ 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))))))
(+ (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))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(+ 2 (* -1/2 (/ (- x (* -1 x)) s)))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2)))))
(- (+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))))))
(+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (pow s 2)))) (* -1/8 (/ (- x (* -1 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* 1/4 (* (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- x (* -1 x)))) (* 1/4 (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))) (pow s 3)))) (+ (* -1/8 (/ (- x (* -1 x)) s)) (+ (* -1/32 (/ (pow (- x (* -1 x)) 2) (pow s 2))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (pow s 2))))))
(+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (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 (* -1/6 (/ x s))) (pow s 2))
(* 1/2 (/ (- x (* -1 x)) s))
(/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))) s)
(/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s)
(/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 3))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s)
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) 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)))
(+ (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)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(+ 2 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (pow x 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))
(+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) s)) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (* -1/8 (- (* -1 x) x))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (- (* -1 x) x) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (+ (* 1/4 (/ (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- (* -1 x) x)) s)) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)))) (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* -1/8 (- (* -1 x) x))) s)))
(+ 2 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(* -1/2 (/ (- (* -1 x) x) s))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) s)) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))

Outputs
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(+ (* -1 (log 2)) (* 1/2 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x (neg.f32 (log.f32 #s(literal 2 binary32))))
(+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (neg.f32 (log.f32 #s(literal 2 binary32))))
(+ (* -1 (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 (.f32 x 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 (neg.f32 (log.f32 #s(literal 2 binary32))))
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 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 (*.f32 x 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)))
(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 (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 x s) (/.f32 #s(literal -1/2 binary32) 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 (.f32 x 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 (/.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 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #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 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(/ x s)
(/.f32 x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) 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)
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s)
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (*.f32 x x) #s(literal 2 binary32))
(+ 2 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))
(fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/24 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s)) (.f32 x x) #s(literal 2 binary32))
(+ 2 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (/.f32 (.f32 x x) (pow.f32 s #s(literal 6 binary32))) #s(literal 1/720 binary32) (/.f32 #s(literal 1/24 binary32) (pow.f32 s #s(literal 4 binary32)))) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (.f32 x x) #s(literal 2 binary32)))
(+ 1 (* 1/2 (/ (pow x 2) (pow s 2))))
(fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))
(fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/24 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s)) (.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (/.f32 (.f32 x x) (pow.f32 s #s(literal 6 binary32))) #s(literal 1/720 binary32) (/.f32 #s(literal 1/24 binary32) (pow.f32 s #s(literal 4 binary32)))) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (.f32 x x) #s(literal 1 binary32)))
(* -1 x)
(neg.f32 x)
(/ (pow x 2) s)
(/.f32 (*.f32 x x) 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 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x)
(/ 1/2 (pow s 2))
(/.f32 (/.f32 #s(literal 1/2 binary32) s) s)
(+ (* -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)) s) s)
(* x (+ (* 1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 x s))
(* x (+ (* (pow x 2) (+ (* 1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))
(fma.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 s #s(literal 5 binary32))) x) x (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (/.f32 x s))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/5040 (/ (pow x 2) (pow s 7))) (* 1/120 (/ 1 (pow s 5))))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 x x) (pow.f32 s #s(literal 7 binary32))) #s(literal 1/5040 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 s #s(literal 5 binary32)))) (.f32 x x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (/.f32 x s))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(/ 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))
(* 1/2 (/ (pow x 2) (pow s 2)))
(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)
(* (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) s) x)) (.f32 x x))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (/.f32 #s(literal -1/2 binary32) (.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (.f32 x x))
(* -1/2 (/ (pow x 2) (pow s 2)))
(.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 binary32))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) s)) (.f32 x 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) s) x)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))))) (pow.f32 x #s(literal 3 binary32)))
(* -1/6 (/ (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) (- (/ 1/2 (* (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) s) x)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x))
(- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s))))))
(/ 1 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s)))))))
(+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))))
(fma.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 1/2 binary32) #s(literal 1 binary32))
(* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))
(*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) #s(literal 1/2 binary32))
(* -1/6 (/ x (pow s 3)))
(*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32))
(* x (- (* 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)))) x)
(* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))
(*.f32 (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1/2 binary32))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(.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))) (*.f32 x x))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (neg.f32 (pow.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 (neg.f32 (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) s) x)) (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 (neg.f32 (pow.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)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) s)) (neg.f32 x)) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x))
(* -1 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(*.f32 (neg.f32 x) (-.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 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) s) s)
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) (.f32 s x)) s) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (fma.f32 (.f32 (.f32 s x) x) #s(literal 1/2 binary32) (*.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 (.f32 #s(literal 2 binary32) s) x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (fma.f32 (.f32 s x) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) x (.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 x) (* 1/2 s)) (pow s 3))
(/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (pow.f32 s #s(literal 3 binary32)))
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s))))
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(+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) s)) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (* -1/8 (- (* -1 x) x))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 (neg.f32 x) x) #s(literal 2 binary32)) #s(literal -1/32 binary32) (fma.f32 #s(literal 1/8 binary32) (.f32 x x) #s(literal 0 binary32))) s) (.f32 (-.f32 (neg.f32 x) x) #s(literal -1/8 binary32))) s))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (- (* -1 x) x) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (+ (* 1/4 (/ (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- (* -1 x) x)) s)) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)))) (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* -1/8 (- (* -1 x) x))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (.f32 #s(literal 1/16 binary32) (-.f32 (neg.f32 x) x)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x #s(literal 0 binary32)) s) (.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 (neg.f32 x) x) #s(literal 2 binary32)) #s(literal -1/32 binary32) (fma.f32 #s(literal 1/8 binary32) (.f32 x x) #s(literal 0 binary32))) (-.f32 (neg.f32 x) x) (.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) x (-.f32 (fma.f32 #s(literal 0 binary32) x (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32)))))) s))) (fma.f32 (pow.f32 (-.f32 (neg.f32 x) x) #s(literal 2 binary32)) #s(literal -1/32 binary32) (fma.f32 #s(literal 1/8 binary32) (.f32 x x) #s(literal 0 binary32)))) (neg.f32 s)) (*.f32 (-.f32 (neg.f32 x) x) #s(literal -1/8 binary32))) s))
(+ 2 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (/.f32 (*.f32 #s(literal 0 binary32) x) (pow.f32 s #s(literal 3 binary32)))) #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/6 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/6 binary32) #s(literal 0 binary32)))) s) #s(literal 1/2 binary32) (.f32 #s(literal 0 binary32) x)) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (.f32 x x) #s(literal 2 binary32)))
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (/.f32 (*.f32 #s(literal 0 binary32) x) (pow.f32 s #s(literal 3 binary32)))) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/6 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/6 binary32) #s(literal 0 binary32)))) s) #s(literal 1/2 binary32) (.f32 #s(literal 0 binary32) x)) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (.f32 x x) #s(literal 1 binary32)))
(* -1/2 (/ (- (* -1 x) x) s))
(*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/2 binary32))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s))
(/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32) #s(literal 0 binary32)) (neg.f32 s))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))
(/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 0 binary32) x (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) s) #s(literal -1/2 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) s)) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))
(/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/24 binary32)) (fma.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/2 binary32)) #s(literal 1/2 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/8 binary32) (+.f32 #s(literal 0 binary32) (.f32 x (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))))))) s) (-.f32 (fma.f32 #s(literal 0 binary32) x (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))))) (neg.f32 s)) #s(literal -1 binary32) #s(literal 0 binary32)) s)) (neg.f32 s))

rewrite205.0ms (2.9%)

Memory

-0.8MiB live, 148.1MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	261
0	70	257
1	245	249
2	1700	241
0	8238	241

Stop Event

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

Counts

22 → 552

Calls

Call 1

Inputs
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #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 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
#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 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))
(/.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))) (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))))
#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)))
(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 (.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))
(-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
(+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32))
(cosh.f32 (/.f32 x s))
(neg.f32 x)
(*.f32 (/.f32 x s) x)
(.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s))
(sinh.f32 (/.f32 x s))

Outputs
(log.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 (neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))))
(-.f32 #s(literal 0 binary32) (neg.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))) (log1p.f32 (exp.f32 (/.f32 x s))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 3 binary32))))) (log.f32 (fma.f32 (sinh.f32 (/.f32 x s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (pow.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)))) (log1p.f32 (.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))))
(neg.f32 (log.f32 (neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))))
(neg.f32 (log1p.f32 (exp.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 (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 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 3 binary32)))) (fma.f32 (sinh.f32 (/.f32 x s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (pow.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 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 (fma.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (*.f32 #s(literal 2 binary32) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))))))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))) #s(literal 4 binary32))
(/.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 (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (neg.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) (exp.f32 (neg.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))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (neg.f32 (neg.f32 (log1p.f32 (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 (/.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)) (exp.f32 (neg.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) (/.f32 (pow.f32 (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32)) (exp.f32 (neg.f32 (neg.f32 (log1p.f32 (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)))))
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(/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (neg.f32 s)) (neg.f32 s) (.f32 (neg.f32 s) (/.f32 #s(literal -1/2 binary32) s))) (*.f32 s s))
(/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (neg.f32 s)) s (.f32 (neg.f32 s) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 (neg.f32 s) s))
(/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (neg.f32 s)) (.f32 (neg.f32 s) s) (.f32 (neg.f32 s) #s(literal -1/2 binary32))) (.f32 (neg.f32 s) (*.f32 (neg.f32 s) s)))
(/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (neg.f32 s)) (.f32 s s) (*.f32 (neg.f32 s) #s(literal 1/2 binary32))) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))
(/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (neg.f32 s) (.f32 s (/.f32 #s(literal -1/2 binary32) s))) (*.f32 (neg.f32 s) s))
(/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) s (.f32 s (/.f32 #s(literal 1/2 binary32) s))) (*.f32 s s))
(/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (.f32 (neg.f32 s) s) (.f32 s #s(literal -1/2 binary32))) (.f32 s (*.f32 (neg.f32 s) s)))
(/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (.f32 s s) (*.f32 s #s(literal 1/2 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/.f32 (fma.f32 (neg.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (neg.f32 s) (.f32 (.f32 (neg.f32 s) s) (/.f32 #s(literal -1/2 binary32) s))) (.f32 (*.f32 (neg.f32 s) s) (neg.f32 s)))
(/.f32 (fma.f32 (neg.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s))) s (.f32 (.f32 (neg.f32 s) s) (/.f32 #s(literal 1/2 binary32) s))) (.f32 (*.f32 (neg.f32 s) s) s))
(/.f32 (fma.f32 (neg.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 (neg.f32 s) s) (.f32 (.f32 (neg.f32 s) s) #s(literal -1/2 binary32))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 (neg.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s) (.f32 (.f32 (neg.f32 s) s) #s(literal 1/2 binary32))) (.f32 (.f32 (neg.f32 s) s) (*.f32 s s)))
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (neg.f32 s) (.f32 (pow.f32 s #s(literal 3 binary32)) (/.f32 #s(literal -1/2 binary32) s))) (*.f32 (pow.f32 s #s(literal 3 binary32)) (neg.f32 s)))
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) s (.f32 (pow.f32 s #s(literal 3 binary32)) (/.f32 #s(literal 1/2 binary32) s))) (*.f32 (pow.f32 s #s(literal 3 binary32)) s))
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (neg.f32 s) s) (.f32 (pow.f32 s #s(literal 3 binary32)) #s(literal -1/2 binary32))) (.f32 (pow.f32 s #s(literal 3 binary32)) (*.f32 (neg.f32 s) s)))
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 s s) (.f32 (pow.f32 s #s(literal 3 binary32)) #s(literal 1/2 binary32))) (.f32 (pow.f32 s #s(literal 3 binary32)) (*.f32 s s)))
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (neg.f32 s) (.f32 (*.f32 s s) (/.f32 #s(literal -1/2 binary32) s))) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) s (.f32 (*.f32 s s) (/.f32 #s(literal 1/2 binary32) s))) (pow.f32 s #s(literal 3 binary32)))
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (.f32 (neg.f32 s) s) (.f32 (.f32 s s) #s(literal -1/2 binary32))) (.f32 (.f32 s s) (*.f32 (neg.f32 s) s)))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) #s(literal 2 binary32))) (/.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (.f32 s s)))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) #s(literal 3 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 s #s(literal 6 binary32)))) (+.f32 (pow.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) #s(literal 2 binary32)) (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))))))
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 s)) (neg.f32 s))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (neg.f32 (.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (.f32 s s))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32))) (*.f32 s s))))
(/.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) (neg.f32 s))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (*.f32 s s))
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (.f32 s s) (.f32 (.f32 s s) #s(literal 1/2 binary32))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s)
(/.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (.f32 s s)))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32))) (*.f32 s s)))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (*.f32 (neg.f32 s) s))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s))
(-.f32 (/.f32 (pow.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (.f32 s s))) (/.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (.f32 s s))))
(-.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (.f32 s s))) (/.f32 #s(literal 1/4 binary32) (.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s))))
(-.f32 (/.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (.f32 s s)) (/.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (*.f32 s s)))
(-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 #s(literal 1/6 binary32) (/.f32 x s)) (*.f32 s s)))
(-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32)) (*.f32 s s)))
(fma.f32 (/.f32 #s(literal -1/6 binary32) (neg.f32 (neg.f32 s))) (/.f32 (/.f32 x s) (neg.f32 (neg.f32 s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(fma.f32 (/.f32 (/.f32 x s) (neg.f32 (neg.f32 s))) (/.f32 #s(literal -1/6 binary32) (neg.f32 (neg.f32 s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(fma.f32 (/.f32 #s(literal -1/6 binary32) (neg.f32 s)) (/.f32 (/.f32 (neg.f32 x) s) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(fma.f32 (/.f32 (/.f32 (neg.f32 x) s) s) (/.f32 #s(literal -1/6 binary32) (neg.f32 s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(fma.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 x (.f32 s s)) (/.f32 #s(literal 1/2 binary32) (.f32 s s)))
(fma.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(fma.f32 (/.f32 (/.f32 x s) s) (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 x s) (.f32 s s)) (/.f32 #s(literal 1/2 binary32) (.f32 s s)))
(fma.f32 (/.f32 x s) (/.f32 #s(literal -1/6 binary32) (.f32 s s)) (/.f32 #s(literal 1/2 binary32) (.f32 s s)))
(+.f32 (/.f32 (pow.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) #s(literal 3 binary32)) (+.f32 (pow.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) #s(literal 2 binary32)) (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 s s)))))) (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 s #s(literal 6 binary32))) (+.f32 (pow.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) #s(literal 2 binary32)) (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(+.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (.f32 s s)) (pow.f32 s #s(literal 4 binary32))) (/.f32 (.f32 (*.f32 s s) #s(literal 1/2 binary32)) (pow.f32 s #s(literal 4 binary32))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32))) (.f32 s s))) (/.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 3 binary32)) (.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32))) (*.f32 s s))))
(+.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 3 binary32)) (.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32))) (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32))) (*.f32 s s))))
(+.f32 (/.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (.f32 s s)) (/.f32 (/.f32 #s(literal 1/8 binary32) (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (*.f32 s s)))
(+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))))
(+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 s s)))
(neg.f32 (/.f32 (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 #s(literal 2 binary32) (sinh.f32 (/.f32 x s))))) #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s)))) #s(literal -2 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 x s))) #s(literal 2 binary32))
(-.f32 (/.f32 (-.f32 (exp.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) #s(literal 2 binary32)) (/.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
(-.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))
(neg.f32 (sinh.f32 (/.f32 (neg.f32 x) s)))
(sinh.f32 (/.f32 x s))

eval85.0ms (1.2%)

Memory: -14.0MiB live, 121.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 22 636 to 3 438 computations (84.8% saved)

prune40.0ms (0.6%)

Memory

-13.0MiB live, 41.2MiB allocated; 7ms collecting garbage

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	628	13	641
Fresh	3	5	8
Picked	1	4	5
Done	0	1	1
Total	632	23	655

Accuracy

100.0%

Counts

655 → 23

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))
✓	63.1%	(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
	99.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	60.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
	60.3%	(/.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))))
	60.3%	(/.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)) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
	57.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))))
▶	57.7%	(/.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)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
▶	33.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (.f32 (neg.f32 s) s) (.f32 (.f32 s s) #s(literal -1/2 binary32))) (.f32 (.f32 s s) (.f32 (neg.f32 s) s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓	57.3%	(/.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))))
	60.3%	(/.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))))
	43.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
	54.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
✓	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))))
	43.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	55.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 binary32))))))
	34.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))))
	65.0%	(.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)))))
	28.1%	#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))))
▶	31.4%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
✓	37.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 958 to 711 computations (25.8% saved)

simplify89.0ms (1.2%)

Memory

7.9MiB live, 92.7MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	1	(-.f32 (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (.f32 (neg.f32 s) s) (.f32 (.f32 s s) #s(literal -1/2 binary32))) (.f32 (.f32 s s) (.f32 (neg.f32 s) s))) x) (/.f32 #s(literal 1 binary32) s))
cost-diff	4	(.f32 (.f32 s s) (*.f32 (neg.f32 s) s))
cost-diff	5	(fma.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (.f32 (neg.f32 s) s) (.f32 (.f32 s s) #s(literal -1/2 binary32)))
cost-diff	5	(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (.f32 (neg.f32 s) s) (.f32 (.f32 s s) #s(literal -1/2 binary32))) (.f32 (.f32 s s) (*.f32 (neg.f32 s) s)))
cost-diff	0	(fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff	1	(-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s))
cost-diff	0	#s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 binary32)))
cost-diff	0	(-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 binary32))))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (.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))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (.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 (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #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	(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
cost-diff	0	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	583
0	92	513
1	172	506
2	573	495
3	3010	490
0	8621	477

Stop Event

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

Calls

Call 1

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

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

localize292.0ms (4.1%)

Memory

24.2MiB live, 257.5MiB allocated; 31ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.2782874460353923	(.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (.f32 (neg.f32 s) s) (.f32 (.f32 s s) #s(literal -1/2 binary32))) (.f32 (.f32 s s) (.f32 (neg.f32 s) s))) x)
accuracy	4.910248838391429	(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (.f32 (neg.f32 s) s) (.f32 (.f32 s s) #s(literal -1/2 binary32))) (.f32 (.f32 s s) (*.f32 (neg.f32 s) s)))
accuracy	4.991291379098534	(fma.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (.f32 (neg.f32 s) s) (.f32 (.f32 s s) #s(literal -1/2 binary32)))
accuracy	13.130406220743565	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (.f32 (neg.f32 s) s) (.f32 (.f32 s s) #s(literal -1/2 binary32))) (.f32 (.f32 s s) (.f32 (neg.f32 s) s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy	0.21384185295886388	(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	1.3540940607025014	(fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy	1.6306345928571417	(/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s))
accuracy	13.130406220743565	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy	0.1484375	(/.f32 (/.f32 x s) s)
accuracy	0.9687382094845057	(*.f32 x (/.f32 (/.f32 x s) s))
accuracy	8.674483343295313	#s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 binary32)))
accuracy	12.485942725653116	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal -1/2 binary32)))))
accuracy	0.0	(/.f32 x s)
accuracy	0.1016262360199942	(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
accuracy	12.327846300085069	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
accuracy	0.0	(neg.f32 x)
accuracy	0.0234375	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
accuracy	0.028007519536884032	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	1.0554718841234676	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))

Samples

136.0ms	80×	5	exit
78.0ms	176×	0	valid

Compiler

Compiled 421 to 49 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

adjust: 58.0ms (34.2% of total)

ival-mult: 30.0ms (17.7% of total)

ival-div: 27.0ms (15.9% of total)

ival-log1p: 17.0ms (10% of total)

ival-exp: 12.0ms (7.1% of total)

ival-add: 11.0ms (6.5% of total)

ival-neg: 5.0ms (3% of total)

const: 5.0ms (3% of total)

ival-sub: 4.0ms (2.4% of total)

exact: 1.0ms (0.6% of total)

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

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

series56.0ms (0.8%)

Memory

12.3MiB live, 69.6MiB allocated; 10ms collecting garbage

Counts

26 → 121

Calls

Call 1

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

Outputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(* -1 (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)))) (log 2))
(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))))
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)))))
(/ 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))))
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(/ 1/2 (pow s 2))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(* -1/2 (pow s 2))
(+ (* -1/2 (pow s 2)) (* 1/6 (* s x)))
(* -1 x)
(/ (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)))))
(+ 1/2 (* -1/6 (/ x s)))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(log (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ x (pow s 3)))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* 1/6 (* s x))
(* x (+ (* -1/2 (/ (pow s 2) x)) (* 1/6 s)))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -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 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* x (+ (* -1/6 s) (* 1/2 (/ (pow s 2) x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (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 x) (* 1/2 s)) (pow s 3))
(* s (+ (* -1/2 s) (* 1/6 x)))
(* -1 (pow s 4))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 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)))))
(- (* -1/2 (/ (+ (* -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))) (+ (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)) (* 1/2 (/ (+ (* -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))))))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(* (pow s 2) (- (* 1/6 (/ x s)) 1/2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 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)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(- (* -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)) (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 (* -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)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) x) 2) (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s)) (- (* (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) x) (/ 1 s)) (neg x) (* x (/ (/ x s) s)) (/ (/ x s) s) (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (+ (* -1/6 (/ x s)) 1/2) (+ 1 (exp (/ (neg x) s))) (* (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) x))
12.0ms	x	@	-inf	((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) x) 2) (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s)) (- (* (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) x) (/ 1 s)) (neg x) (* x (/ (/ x s) s)) (/ (/ x s) s) (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (+ (* -1/6 (/ x s)) 1/2) (+ 1 (exp (/ (neg x) s))) (* (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) x))
10.0ms	s	@	0	((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) x) 2) (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s)) (- (* (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) x) (/ 1 s)) (neg x) (* x (/ (/ x s) s)) (/ (/ x s) s) (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (+ (* -1/6 (/ x s)) 1/2) (+ 1 (exp (/ (neg x) s))) (* (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) x))
6.0ms	s	@	-inf	((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) x) 2) (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s)) (- (* (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) x) (/ 1 s)) (neg x) (* x (/ (/ x s) s)) (/ (/ x s) s) (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (+ (* -1/6 (/ x s)) 1/2) (+ 1 (exp (/ (neg x) s))) (* (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) x))
5.0ms	x	@	0	((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) x) 2) (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s)) (- (* (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) x) (/ 1 s)) (neg x) (* x (/ (/ x s) s)) (/ (/ x s) s) (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (+ (* -1/6 (/ x s)) 1/2) (+ 1 (exp (/ (neg x) s))) (* (/ (+ (* (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (* (* s s) (* (neg s) s))) x))

simplify168.0ms (2.4%)

Memory

-26.3MiB live, 176.6MiB allocated; 56ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	462	1999
1	1557	1609
2	6700	1591
0	9212	1506

Stop Event

1×	iter limit
1×	node limit

Counts

121 → 121

Calls

Call 1

Inputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(* -1 (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)))) (log 2))
(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))))
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)))))
(/ 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))))
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(/ 1/2 (pow s 2))
(+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(* -1/2 (pow s 2))
(+ (* -1/2 (pow s 2)) (* 1/6 (* s x)))
(* -1 x)
(/ (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)))))
(+ 1/2 (* -1/6 (/ x s)))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(log (+ 1 (exp (* -1 (/ x s)))))
(exp (* -1 (/ x s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ x (pow s 3)))
(* x (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* 1/6 (* s x))
(* x (+ (* -1/2 (/ (pow s 2) x)) (* 1/6 s)))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -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 (* x (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* x (+ (* -1/6 s) (* 1/2 (/ (pow s 2) x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/6 (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 x) (* 1/2 s)) (pow s 3))
(* s (+ (* -1/2 s) (* 1/6 x)))
(* -1 (pow s 4))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 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)))))
(- (* -1/2 (/ (+ (* -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))) (+ (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)) (* 1/2 (/ (+ (* -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))))))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/ (+ 1/2 (* -1/6 (/ x s))) (pow s 2))
(* (pow s 2) (- (* 1/6 (/ x s)) 1/2))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 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)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(- (* -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)) (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 (* -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)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))

Outputs
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) (log.f32 #s(literal 2 binary32)))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(-.f32 (.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)))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(-.f32 (.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)))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) (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 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(/ 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 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)
(/ -1 s)
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(-.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))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (fma.f32 (/.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 #s(literal 1/2 binary32) x) x)) s)) s))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) (neg.f32 s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) (neg.f32 s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))

rewrite160.0ms (2.2%)

Memory

-0.2MiB live, 133.7MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	426
0	90	426
1	319	392
2	2397	372
0	8296	368

Stop Event

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

Counts

26 → 419

Calls

Call 1

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

Outputs
(*.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 (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 (fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) #s(literal 4 binary32))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (.f32 #s(literal 2 binary32) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal 2 binary32))
(/.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))))
(/.f32 (-.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (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))) (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #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)))))))))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.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))))
(-.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 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(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))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 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))))))
(+.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(log.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(-.f32 (log.f32 (-.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))))
(-.f32 (log.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)))) (log.f32 (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #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))))))))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 (neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))))
(-.f32 #s(literal 0 binary32) (neg.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)))) (log1p.f32 (.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))))
(neg.f32 (log.f32 (neg.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(-.f32 (log.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (log.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (log1p.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (log.f32 (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(-.f32 (log1p.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (log1p.f32 (.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(/.f32 (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))))) #s(literal 4 binary32))
(/.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))))) #s(literal 4 binary32))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(+.f32 (.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))
(+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s)))
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
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(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 2 binary32))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/4 binary32) (/.f32 x s))))
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(/.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s)))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(+.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (/.f32 #s(literal 1/8 binary32) (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) (/.f32 (neg.f32 x) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (/.f32 x s))
(.f32 (/.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) (*.f32 (neg.f32 s) s)) (/.f32 (/.f32 x s) s))
(.f32 (/.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) s) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))))
(.f32 (/.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) (.f32 s s)) (/.f32 x (.f32 (neg.f32 s) s)))
(.f32 (/.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 s #s(literal 4 binary32)))) x)
(.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) (/.f32 (neg.f32 x) (pow.f32 s #s(literal 4 binary32))))
(.f32 x (/.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 s #s(literal 4 binary32)))))
(/.f32 (/.f32 (.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) s)
(/.f32 (/.f32 (.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) x) (.f32 (neg.f32 s) s)) (.f32 s s))
(/.f32 (/.f32 (.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) x) (.f32 s s)) (.f32 (neg.f32 s) s))
(/.f32 (/.f32 (.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) x) s) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))
(/.f32 (.f32 (/.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) (.f32 s s)) x) (.f32 (neg.f32 s) s))
(/.f32 (.f32 (neg.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32)))) x) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (.f32 x (/.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) (.f32 s s))) (.f32 (neg.f32 s) s))
(/.f32 (.f32 x (neg.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (neg.f32 (.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) x)) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) x) (neg.f32 (pow.f32 s #s(literal 4 binary32))))
(fma.f32 (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (/.f32 #s(literal 1 binary32) s)) x (.f32 (.f32 (pow.f32 (neg.f32 s) #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) s)) x))
(fma.f32 x (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (/.f32 #s(literal 1 binary32) s)) (.f32 x (.f32 (pow.f32 (neg.f32 s) #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) s))))
(+.f32 (.f32 (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (/.f32 #s(literal 1 binary32) s)) x) (.f32 (*.f32 (pow.f32 (neg.f32 s) #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) s)) x))
(+.f32 (.f32 x (.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (/.f32 #s(literal 1 binary32) s))) (.f32 x (*.f32 (pow.f32 (neg.f32 s) #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) s))))

eval77.0ms (1.1%)

Memory: -16.6MiB live, 84.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 21 578 to 3 261 computations (84.9% saved)

prune25.0ms (0.3%)

Memory

2.1MiB live, 49.1MiB allocated; 2ms collecting garbage

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	527	10	537
Fresh	3	10	13
Picked	3	2	5
Done	0	5	5
Total	533	27	560

Accuracy

100.0%

Counts

560 → 27

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))
✓	63.1%	(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
▶	99.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	60.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
▶	60.3%	(/.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))))
	60.3%	(/.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)) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
✓	57.7%	(/.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)) x) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
✓	57.3%	(/.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))))
	33.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) (.f32 (.f32 s s) (*.f32 (neg.f32 s) s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	48.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (.f32 (.f32 s x) #s(literal 1/6 binary32))) (.f32 (.f32 s s) (*.f32 (neg.f32 s) s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	43.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) (* s s)) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
	54.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
✓	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))))
	43.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	53.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (.f32 (/.f32 (.f32 (/.f32 x s) x) s) #s(literal -1/2 binary32))))))
	52.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal -1/2 binary32))))))
	53.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (.f32 (.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/2 binary32))))))
▶	34.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))))
	33.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
	65.0%	(.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)))))
	28.1%	#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))))
	31.4%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
▶	31.2%	#s(approx (/ 1 (+ 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)))
▶	6.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
✓	37.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 1 189 to 886 computations (25.5% saved)

simplify121.0ms (1.7%)

Memory

-6.4MiB live, 90.6MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	395
0	77	395
1	124	395
2	233	395
3	614	395
4	2163	393
0	8560	386

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

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

localize102.0ms (1.4%)

Memory

12.2MiB live, 99.0MiB allocated; 13ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
accuracy	0.21384185295886388	(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	1.3540940607025014	(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))
accuracy	13.130406220743565	#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)))
accuracy	0.9721648957179724	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)
accuracy	2.9060224007403237	(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x)
accuracy	8.811244470395202	#s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))
accuracy	12.485942725653116	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)))
accuracy	0.0	#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))
accuracy	0.0703125	(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s))
accuracy	0.15234375	(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)
accuracy	12.327846300085069	#s(approx (/ 1 (+ 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)))
accuracy	0.0	(/.f32 x s)
accuracy	0.0899074860199942	(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
accuracy	9.040726908858137	#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
accuracy	12.327846300085069	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
accuracy	0.017910009768442016	(exp.f32 (/.f32 x s))
accuracy	0.02734375	(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
accuracy	0.03125	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
accuracy	0.0390625	(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))

Samples

49.0ms	176×	0	valid
22.0ms	80×	0	exit

Compiler

Compiled 262 to 46 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 19.0ms (35.1% of total)

ival-mult: 15.0ms (27.7% of total)

ival-add: 6.0ms (11.1% of total)

ival-sub: 5.0ms (9.2% of total)

ival-exp: 4.0ms (7.4% of total)

const: 4.0ms (7.4% of total)

exact: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

series26.0ms (0.4%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Counts

23 → 98

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (* (* (/ (/ 1/2 s) s) x) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) x) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (* (/ (/ 1/2 s) s) x) (+ (* -1/6 (/ x s)) 1/2) (* (+ (* -1/6 (/ x s)) 1/2) x))
5.0ms	x	@	inf	((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (* (* (/ (/ 1/2 s) s) x) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) x) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (* (/ (/ 1/2 s) s) x) (+ (* -1/6 (/ x s)) 1/2) (* (+ (* -1/6 (/ x s)) 1/2) x))
4.0ms	s	@	inf	((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (* (* (/ (/ 1/2 s) s) x) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) x) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (* (/ (/ 1/2 s) s) x) (+ (* -1/6 (/ x s)) 1/2) (* (+ (* -1/6 (/ x s)) 1/2) x))
4.0ms	s	@	-inf	((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (* (* (/ (/ 1/2 s) s) x) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) x) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (* (/ (/ 1/2 s) s) x) (+ (* -1/6 (/ x s)) 1/2) (* (+ (* -1/6 (/ x s)) 1/2) x))
4.0ms	s	@	0	((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (- (/ 1/2 x) (/ -1/4 s)) x) (- (/ 1/2 x) (/ -1/4 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (* (* (/ (/ 1/2 s) s) x) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) x) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (* (/ (/ 1/2 s) s) x) (+ (* -1/6 (/ x s)) 1/2) (* (+ (* -1/6 (/ x s)) 1/2) x))

simplify150.0ms (2.1%)

Memory

-16.7MiB live, 122.9MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	427	1561
1	1480	1350
2	5980	1334
0	8174	1256

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 98

Calls

Call 1

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

Outputs
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 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
1/2
#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
#s(literal -1 binary32)
(- (/ x s) 1)
(-.f32 (/.f32 x s) #s(literal 1 binary32))
(- (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s))) 1)
(-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x) #s(literal 1 binary32))
(- (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))) 1)
(-.f32 (.f32 (fma.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
#s(literal 1 binary32)
(+ 1 (/ x s))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (fma.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))
(* 1/4 (/ x s))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(/ x s)
(/.f32 x s)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/4 (/ x s))) x)
(/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(* 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 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
(* 1/2 (/ x (pow s 2)))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(* 1/2 x)
(*.f32 #s(literal 1/2 binary32) x)
(* x (+ 1/2 (* -1/6 (/ x s))))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(+ 1 (/ 1 (exp (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ -1 (exp (/ x s)))
(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 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)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s))
(+ 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))
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))))) (pow.f32 x #s(literal 3 binary32)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(.f32 (.f32 x (/.f32 x (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/6 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)
(* -1/6 (/ (pow x 2) s))
(.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x) x)
(* (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 (* (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 #s(literal 1/2 binary32) (.f32 s s)) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (/.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) (.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.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)))) (*.f32 x x))
(* -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)))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)
(/ (+ 1/4 (* 1/2 (/ s x))) s)
(/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (*.f32 s x)) s) s)
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 #s(literal 1/2 binary32) x) x)) 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) s) x) 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 #s(literal 1/2 binary32) x) x) (.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 (.f32 #s(literal 2 binary32) s) x) s (.f32 (.f32 #s(literal 1/2 binary32) x) 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 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) s) x (.f32 (*.f32 x x) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s (.f32 (.f32 x x) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) s) x (.f32 (*.f32 x x) #s(literal -1/6 binary32))) s)
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (.f32 #s(literal -1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 s #s(literal 3 binary32)))) (.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (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 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(fma.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/12 binary32) (fma.f32 #s(literal 0 binary32) x (.f32 #s(literal -1/8 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32)))))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (pow x 2)) (pow s 2))) (+ 1 (* -1 (/ x s))))
(-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x) #s(literal 1 binary32))
(- (* -1 (/ (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ 1 (+ (* -1 (/ x s)) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))
(-.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x)))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
(- (+ 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 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32) (*.f32 #s(literal 0 binary32) x)) (pow.f32 s #s(literal 3 binary32))) #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)))))
(fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(-.f32 #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))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) s) (.f32 (*.f32 x x) #s(literal -1/2 binary32))) s) #s(literal -1 binary32) x) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (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 (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (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 (-.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32)) (fma.f32 #s(literal 0 binary32) x (.f32 (fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) #s(literal -1/4 binary32)))) s) #s(literal 0 binary32)) (neg.f32 s))) s))
(- (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) s)) (/ (pow x 2) s)) x) s)) 1)
(-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x) #s(literal 1 binary32))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 3) s)) (+ (* 1/6 (/ (pow x 3) s)) (/ (* x (+ (* -1/2 (pow x 2)) (pow x 2))) s))) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) x) s)) 1)
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (.f32 #s(literal -1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) s) (.f32 (*.f32 #s(literal 1/2 binary32) x) x)) (neg.f32 s)) x) (neg.f32 s)) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.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) x) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 #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)))
(fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))
(+ 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))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))
(* -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 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)) (neg.f32 s))

rewrite189.0ms (2.7%)

Memory

4.3MiB live, 203.8MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	332
0	77	332
1	266	332
2	1808	332
0	8088	325

Stop Event

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

Counts

23 → 268

Calls

Call 1

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

Outputs
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))))) (neg.f32 (neg.f32 (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))) (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) #s(literal 1 binary32)))))
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(-.f32 (/.f32 (.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (.f32 s s)) (/.f32 (.f32 s #s(literal 1 binary32)) (*.f32 s s)))
(-.f32 (/.f32 (pow.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32)) (.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal 1 binary32)) s)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal 1 binary32)) s)))
(-.f32 (/.f32 (pow.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 3 binary32)) (.f32 (+.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal 1 binary32)) (pow.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32))) s)) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal 1 binary32)) (pow.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32))) s)))
(-.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal 1 binary32))) s) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal 1 binary32))) s))
(-.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 3 binary32)) (+.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal 1 binary32)) (pow.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32)))) s) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal 1 binary32)) (pow.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32)))) s))
(-.f32 (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (/.f32 #s(literal 1 binary32) s))
(neg.f32 (/.f32 (neg.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))
(neg.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)) (neg.f32 s)))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x)
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))
(*.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) x)) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (.f32 #s(literal 1/2 binary32) x)) (neg.f32 (.f32 s s)))
(/.f32 (neg.f32 (.f32 x #s(literal 1/2 binary32))) (neg.f32 (.f32 s s)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x))) (neg.f32 (neg.f32 s)))
(/.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) s) x) (neg.f32 s))
(/.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) s)) (neg.f32 s))
(/.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 s s))
(/.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 s s))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (neg.f32 s))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s)
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)))) (neg.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (neg.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) #s(literal 1/4 binary32))) (.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))))
(/.f32 (fma.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))) #s(literal 1/8 binary32))) (.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (neg.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(/.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) (/.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))))
(-.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s)))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(+.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal -1/12 binary32))))) (/.f32 #s(literal 1/8 binary32) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (.f32 x (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)))) (neg.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (.f32 x (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) (neg.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(/.f32 (neg.f32 (.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) x)) (neg.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) x)) (neg.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(/.f32 (.f32 x (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 (.f32 x (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) x) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
(/.f32 (.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) x) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) x (.f32 #s(literal 1/2 binary32) x))
(fma.f32 #s(literal 1/2 binary32) x (.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) x))
(fma.f32 x (.f32 #s(literal -1/6 binary32) (/.f32 x s)) (.f32 x #s(literal 1/2 binary32)))
(fma.f32 x #s(literal 1/2 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (/.f32 x s))))
(+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) x) (*.f32 #s(literal 1/2 binary32) x))
(+.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) x))
(+.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 x #s(literal 1/2 binary32)))
(+.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 x s))))

eval48.0ms (0.7%)

Memory: 0.2MiB live, 44.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 12 987 to 1 955 computations (84.9% saved)

prune33.0ms (0.5%)

Memory

8.3MiB live, 54.0MiB allocated; 4ms collecting garbage

Pruning

37 alts after pruning (27 fresh and 10 done)

	Pruned	Kept	Total
New	346	17	363
Fresh	5	10	15
Picked	1	4	5
Done	1	6	7
Total	353	37	390

Accuracy

100.0%

Counts

390 → 37

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))
✓	63.1%	(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
✓	99.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
	62.3%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.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))))))
	65.0%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))
	64.1%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	43.7%	(/.f32 #s(literal 1 binary32) #s(approx (- 1 (/ -1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	60.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
	59.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
	59.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(approx (* (+ (* -1/6 (/ x s)) 1/2) x) (.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32))) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
	60.3%	(/.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)) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
	57.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
✓	57.3%	(/.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))))
	33.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (neg.f32 s) s) (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal -1/2 binary32))) (.f32 (.f32 s s) (*.f32 (neg.f32 s) s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	48.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( (* -1/6 (/ x s)) (* (neg s) s)) (* (* s s) -1/2)) (.f32 (.f32 s x) #s(literal 1/6 binary32))) (.f32 (.f32 s s) (*.f32 (neg.f32 s) s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	43.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
	54.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
✓	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))))
	53.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (.f32 (/.f32 (.f32 (/.f32 x s) x) s) #s(literal -1/2 binary32))))))
	53.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (.f32 (.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/2 binary32))))))
	30.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s))))
	31.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) x) s))))
	33.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) x))))
	34.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (/.f32 (.f32 x #s(literal 1/2 binary32)) (*.f32 s s)) x))))
	31.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)))))
✓	34.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))))
	34.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 #s(approx ( (/ (/ 1/2 s) s) x) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)) x))))
	65.0%	(.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)))))
	28.1%	#s(approx (/ 1 (- 1 (/ -1 (exp (/ x 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))))
	31.4%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
✓	31.2%	#s(approx (/ 1 (+ 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)))
	31.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x)))
	37.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(approx (- (/ 1/2 x) (/ -1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x)))
✓	6.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
✓	37.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 2 409 to 1 075 computations (55.4% saved)

regimes93.0ms (1.3%)

Memory

-19.3MiB live, 78.0MiB allocated; 17ms collecting garbage

Counts

54 → 1

Calls

Call 1

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

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

Calls

7 calls:

21.0ms	x
16.0ms	(neg.f32 x)
13.0ms	s
12.0ms	(/.f32 (neg.f32 x) s)
10.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (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)

regimes79.0ms (1.1%)

Memory

15.9MiB live, 60.8MiB allocated; 4ms collecting garbage

Counts

50 → 1

Calls

Call 1

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

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

regimes70.0ms (1%)

Memory

12.9MiB live, 58.2MiB allocated; 4ms collecting garbage

Counts

44 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
95.1%	2	`(neg.f32 x)`
95.6%	2	`(/.f32 (neg.f32 x) s)`
95.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
95.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
95.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
95.1%	2	`x`
69.1%	2	`s`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes56.0ms (0.8%)

Memory

-5.7MiB live, 44.5MiB allocated; 15ms collecting garbage

Counts

35 → 2

Calls

Call 1

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

Outputs

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

6 calls:

16.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
9.0ms	x
9.0ms	(neg.f32 x)
8.0ms	(/.f32 (neg.f32 x) s)
7.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
94.5%	2	`(neg.f32 x)`
94.5%	2	`x`
94.5%	2	`(/.f32 (neg.f32 x) s)`
94.5%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
94.5%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
94.5%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes47.0ms (0.7%)

Memory

-5.9MiB live, 40.7MiB allocated; 3ms collecting garbage

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

8.0ms	x
8.0ms	(neg.f32 x)
8.0ms	(/.f32 (neg.f32 x) s)
8.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
6.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
94.5%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
94.5%	2	`(neg.f32 x)`
94.5%	2	`(/.f32 (neg.f32 x) s)`
94.5%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
94.5%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
94.5%	2	`x`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes46.0ms (0.6%)

Memory

4.8MiB live, 51.3MiB allocated; 2ms collecting garbage

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

8.0ms	x
8.0ms	(neg.f32 x)
8.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
8.0ms	(/.f32 (neg.f32 x) s)
6.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
94.0%	2	`(neg.f32 x)`
94.2%	2	`(/.f32 (neg.f32 x) s)`
94.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
94.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
94.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
94.0%	2	`x`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes45.0ms (0.6%)

Memory

24.9MiB live, 68.5MiB allocated; 7ms collecting garbage

Counts

30 → 2

Calls

Call 1

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

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))

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

Calls

6 calls:

9.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
8.0ms	x
8.0ms	(neg.f32 x)
7.0ms	(/.f32 (neg.f32 x) s)
6.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
91.4%	2	`(neg.f32 x)`
91.4%	2	`x`
92.1%	2	`(/.f32 (neg.f32 x) s)`
92.1%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
92.1%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
92.1%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes47.0ms (0.7%)

Memory

-35.6MiB live, 61.5MiB allocated; 15ms collecting garbage

Counts

28 → 2

Calls

Call 1

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

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))

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

Calls

6 calls:

11.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
11.0ms	x
7.0ms	(neg.f32 x)
7.0ms	(/.f32 (neg.f32 x) s)
5.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
90.8%	2	`x`
90.8%	2	`(neg.f32 x)`
91.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
91.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
91.2%	2	`(/.f32 (neg.f32 x) s)`
91.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes24.0ms (0.3%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Counts

27 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

7.0ms	(/.f32 (neg.f32 x) s)
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
5.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
91.2%	2	`(/.f32 (neg.f32 x) s)`
91.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
91.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
91.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes68.0ms (0.9%)

Memory

-32.1MiB live, 14.6MiB allocated; 1ms collecting garbage

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
91.2%	2	`(/.f32 (neg.f32 x) s)`
91.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
91.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
91.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes17.0ms (0.2%)

Memory

30.6MiB live, 30.6MiB allocated; 0ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
91.2%	2	`(/.f32 (neg.f32 x) s)`
91.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
91.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
91.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes30.0ms (0.4%)

Memory

1.3MiB live, 43.6MiB allocated; 8ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Calls

7 calls:

7.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms	s
4.0ms	x
4.0ms	(neg.f32 x)
4.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
50.8%	2	`s`
59.6%	2	`x`
59.6%	2	`(neg.f32 x)`
64.7%	2	`(/.f32 (neg.f32 x) s)`
64.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
64.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
64.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes38.0ms (0.5%)

Memory

-23.1MiB live, 32.4MiB allocated; 30ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Calls

6 calls:

21.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
4.0ms	(neg.f32 x)
3.0ms	x
3.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
52.0%	2	`x`
52.0%	2	`(neg.f32 x)`
52.3%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
52.3%	2	`(/.f32 (neg.f32 x) s)`
52.3%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
52.3%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes9.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.3%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
52.3%	2	`(/.f32 (neg.f32 x) s)`
52.3%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
52.3%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes15.0ms (0.2%)

Memory

-8.4MiB live, 38.1MiB allocated; 3ms collecting garbage

Accuracy

Total -9.8b remaining (-49.3%)

Threshold costs -9.8b (-49.3%)

Counts

5 → 1

Calls

Call 1

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

4.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms	x
2.0ms	(neg.f32 x)
2.0ms	(/.f32 (neg.f32 x) s)
2.0ms	s

Results

Accuracy	Segments	Branch
37.6%	1	`s`
37.6%	1	`x`
37.6%	1	`(neg.f32 x)`
37.6%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
37.6%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
37.6%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
37.6%	1	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.29202190041542053	0.3369011878967285

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0011025667190552	1.9998905658721924

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-7.69617273647468e-35	-1.810596786813225e-35

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.29202190041542053	0.3369011878967285

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.29202190041542053	0.3369011878967285

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.29202190041542053	0.3369011878967285

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.29202190041542053	0.3369011878967285

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.098683004689519e-7

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.098683004689519e-7

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1961290.75	+inf

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0011025667190552	1.9998905658721924

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.810144901275635	-0.00010942136577796191

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify77.0ms (1.1%)

Memory

-22.2MiB live, 68.3MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	715
1	212	715
2	387	715
3	985	715
4	2990	715

Stop Event

1×	node limit

Calls

Call 1

Inputs
(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) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/16777216 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) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 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 x #s(literal -8711229/174224571863520493293247799005065324265472 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)) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/16777216 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(approx (* (+ (* -1/6 (/ x s)) 1/2) x) (.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32))) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/16777216 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/16777216 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/16777216 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) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 #s(approx ( (/ (/ 1/2 s) s) x) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)) x)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2000000 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 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 #s(approx ( (/ (/ 1/2 s) s) x) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)) x)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 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 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Outputs
(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) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/16777216 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) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 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 x #s(literal -8711229/174224571863520493293247799005065324265472 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)) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/16777216 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(approx (* (+ (* -1/6 (/ x s)) 1/2) x) (.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32))) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/16777216 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/16777216 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/16777216 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) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 #s(approx ( (/ (/ 1/2 s) s) x) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)) x)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2000000 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 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 #s(approx ( (/ (/ 1/2 s) s) x) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)) x)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 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 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 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)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

derivations1.1s (15.1%)

Memory

43.3MiB live, 748.5MiB allocated; 91ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
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	41	261
0	70	257
1	245	249
2	1700	241
0	8238	241
0	630	3228
1	2208	2538
0	9205	2362
0	427	1561
1	1480	1350
2	5980	1334
0	8174	1256

Stop Event

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

Compiler

Compiled 715 to 143 computations (80% saved)

preprocess119.0ms (1.7%)

Memory: -24.7MiB live, 70.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 448 to 302 computations (79.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze76.0ms (1.1%)

sample1.2s (16.7%)

explain129.0ms (1.8%)

preprocess114.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify81.0ms (1.1%)

localize21.0ms (0.3%)

series31.0ms (0.4%)

simplify141.0ms (2%)

rewrite576.0ms (8.1%)

eval64.0ms (0.9%)

prune17.0ms (0.2%)

simplify113.0ms (1.6%)

localize427.0ms (6%)

series159.0ms (2.2%)

simplify160.0ms (2.3%)

rewrite205.0ms (2.9%)

eval85.0ms (1.2%)

prune40.0ms (0.6%)

simplify89.0ms (1.2%)

localize292.0ms (4.1%)

series56.0ms (0.8%)

simplify168.0ms (2.4%)

rewrite160.0ms (2.2%)

eval77.0ms (1.1%)

prune25.0ms (0.3%)

simplify121.0ms (1.7%)

localize102.0ms (1.4%)

series26.0ms (0.4%)

simplify150.0ms (2.1%)

rewrite189.0ms (2.7%)

eval48.0ms (0.7%)

prune33.0ms (0.5%)

regimes93.0ms (1.3%)

regimes79.0ms (1.1%)

regimes70.0ms (1%)

regimes56.0ms (0.8%)

regimes47.0ms (0.7%)

regimes46.0ms (0.6%)

regimes45.0ms (0.6%)

regimes47.0ms (0.7%)

regimes24.0ms (0.3%)

regimes68.0ms (0.9%)

regimes17.0ms (0.2%)

regimes30.0ms (0.4%)

regimes38.0ms (0.5%)

regimes9.0ms (0.1%)

regimes15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify77.0ms (1.1%)

derivations1.1s (15.1%)

preprocess119.0ms (1.7%)

end0.0ms (0%)

Profiling