Metrics for Logistic distribution

start0.0ms (0%)

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

analyze51.0ms (0.7%)

Memory

32.2MiB live, 74.4MiB allocated; 10ms 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 34 to 17 computations (50% saved)

sample1.4s (18.8%)

Memory

36.3MiB live, 1 103.5MiB allocated; 328ms collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 839.0ms

ival-<=: 178.0ms (21.2% of total)

ival-mult: 158.0ms (18.8% of total)

ival-div: 118.0ms (14.1% of total)

const: 107.0ms (12.8% of total)

ival-fabs: 74.0ms (8.8% of total)

ival-neg: 73.0ms (8.7% of total)

ival-exp: 61.0ms (7.3% of total)

ival-add: 43.0ms (5.1% of total)

ival-and: 11.0ms (1.3% of total)

exact: 11.0ms (1.3% of total)

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

adjust: 2.0ms (0.2% of total)

Bogosity

explain177.0ms (2.4%)

Memory

-19.8MiB live, 127.5MiB allocated; 23ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
1	0	-	-	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
0	0	-	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))`
0	0	-	-	`#s(literal 1 binary32)`
0	3	(0.0006455409456975758 1.3766201618636842e-6)	-	`(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))`
0	0	-	-	`s`
0	0	-	-	`(neg.f32 (fabs.f32 x))`
0	0	-	-	`(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))`
0	0	-	-	`(/.f32 (neg.f32 (fabs.f32 x)) s)`
0	0	-	-	`(.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))`
0	0	-	-	`x`
0	0	-	-	`(fabs.f32 x)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))`	sensitivity	3	1
`/.f32`	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`	u/n	1	0
↳	`(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))`	underflow	195

Confusion

	Predicted +	Predicted -
+	1	0
-	2	253

Precision

0.3333333333333333

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	2	1	252

Precision?

0.25

Recall?

1.0

Freqs

test

number	freq
0	253
1	2
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms

512×

valid

Compiler

Compiled 194 to 37 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 40.0ms (67.5% of total)

ival-div: 7.0ms (11.8% of total)

ival-exp: 4.0ms (6.8% of total)

ival-fabs: 3.0ms (5.1% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess182.0ms (2.4%)

Memory

-14.5MiB live, 232.1MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	140
1	125	128
2	629	123
3	3247	122
0	11	26
0	19	26
1	47	26
2	182	25
3	833	25
4	5497	25
0	8031	25

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs x)

Compiler

Compiled 26 to 11 computations (57.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Status

Accuracy

Program

▶

99.4%

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

Compiler

Compiled 26 to 11 computations (57.7% saved)

simplify130.0ms (1.7%)

Memory

26.0MiB live, 169.6MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	82
0	19	82
1	47	82
2	182	79
3	833	79
4	5497	79
0	8031	79

Stop Event

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

Calls

Call 1

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

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

localize31.0ms (0.4%)

Memory

-21.5MiB live, 69.2MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
accuracy	0.04296875	(.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
accuracy	0.04989507502624879	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy	0.1366611823577008	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Samples

19.0ms

256×

valid

Compiler

Compiled 84 to 13 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 3.0ms (24.8% of total)

ival-mult: 3.0ms (24.8% of total)

ival-exp: 2.0ms (16.5% of total)

ival-add: 1.0ms (8.3% of total)

ival-fabs: 1.0ms (8.3% of total)

ival-neg: 1.0ms (8.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

-4.6MiB live, 42.2MiB allocated; 3ms collecting garbage

Counts

5 → 32

Calls

Call 1

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

Outputs
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* 2 s)
(* s (+ 2 (* -1 (/ (fabs x) s))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* 4 s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(* -1 (* s (- (/ (fabs x) s) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	s	@	inf	((* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
3.0ms	x	@	-inf	((* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
3.0ms	s	@	-inf	((* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
2.0ms	x	@	inf	((* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))
2.0ms	x	@	0	((* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))

simplify203.0ms (2.7%)

Memory

2.2MiB live, 242.9MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	929
1	775	788
2	3009	774
0	8218	729

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

Inputs
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(* 2 s)
(* s (+ 2 (* -1 (/ (fabs x) s))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
1
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* 4 s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(* -1 (* s (- (/ (fabs x) s) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))

Outputs
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(* 2 s)
(*.f32 #s(literal 2 binary32) s)
(* s (+ 2 (* -1 (/ (fabs x) s))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) s)
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s)
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
(.f32 (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) (*.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) (.f32 #s(literal 3/16 binary32) (.f32 x x))) (.f32 s s))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (.f32 x x) s) (fma.f32 #s(literal -1/24 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal 1/4 binary32))) (fma.f32 #s(literal 3/16 binary32) (/.f32 (/.f32 (.f32 x x) s) s) (/.f32 (-.f32 (.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/48 binary32)) (.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (fabs.f32 x))) (pow.f32 s #s(literal 3 binary32))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(/.f32 (-.f32 (+.f32 (fma.f32 #s(literal -1/24 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal 1/4 binary32)) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (.f32 x x) s) (/.f32 (.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 1/96 binary32)) (pow.f32 s #s(literal 4 binary32))))) (fma.f32 (neg.f32 (fabs.f32 x)) (+.f32 (/.f32 (fma.f32 (fabs.f32 x) (fma.f32 (.f32 x x) #s(literal -1/24 binary32) (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (.f32 x x)))) (.f32 #s(literal 5/48 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -5/3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (/.f32 (.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32)) (pow.f32 s #s(literal 4 binary32)))) (.f32 (.f32 #s(literal 3 binary32) (.f32 x x)) (fma.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (pow.f32 s #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 s s))))))) s)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (fabs x) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) (.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(* 4 s)
(*.f32 #s(literal 4 binary32) s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(*.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32)) s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(.f32 (+.f32 (fma.f32 #s(literal -5/3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s)) #s(literal 4 binary32)) s)
(* -1 (* s (- (/ (fabs x) s) 2)))
(*.f32 (neg.f32 s) (-.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s) #s(literal 2 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))
(.f32 (neg.f32 s) (-.f32 (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32)) #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) #s(literal 2 binary32)))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(/.f32 (-.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (.f32 x x))) s) (neg.f32 s)) (fma.f32 #s(literal -1/24 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal 1/4 binary32))) (/.f32 (fma.f32 #s(literal 5/48 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (fabs.f32 x))) (pow.f32 s #s(literal 3 binary32)))) (neg.f32 s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) s) #s(literal 1/96 binary32) (neg.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/48 binary32))) (.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (fabs.f32 x))))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/48 binary32))) (.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (fabs.f32 x))) (fabs.f32 x) (fma.f32 (.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32)) #s(literal 1/16 binary32) (.f32 (.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (.f32 x x)))) (.f32 #s(literal 3 binary32) (.f32 x x))))) s)) s) (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (.f32 x x)))) (.f32 s s))) #s(literal 1/4 binary32)) (neg.f32 s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) (.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(.f32 (neg.f32 s) (-.f32 (.f32 #s(literal 4 binary32) (/.f32 (fabs.f32 x) s)) #s(literal 4 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (neg.f32 (fabs.f32 x)) #s(literal -4 binary32) (.f32 #s(literal -3 binary32) (/.f32 (*.f32 x x) s))) s) #s(literal 4 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (-.f32 (.f32 #s(literal -4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal -3 binary32) (.f32 x x) (.f32 #s(literal 5/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s))) s)) (neg.f32 s)) #s(literal 4 binary32)))

rewrite219.0ms (2.9%)

Memory

1.3MiB live, 241.2MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	66
0	19	66
1	69	52
2	481	45
3	5851	45
0	8523	44

Stop Event

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

Counts

5 → 418

Calls

Call 1

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

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

eval108.0ms (1.4%)

Memory: 18.2MiB live, 193.0MiB allocated; 41ms collecting garbage
Compiler: Compiled 22 418 to 1 882 computations (91.6% saved)

prune20.0ms (0.3%)

Memory

15.2MiB live, 61.5MiB allocated; 4ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	567	13	580
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	568	13	581

Accuracy

99.5%

Counts

581 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
▶	95.7%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	94.6%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 2 binary32) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	99.4%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
	95.4%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32)) s)))
▶	94.3%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
▶	99.4%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) s)
	79.9%	(/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 x s)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)))
	40.3%	(*.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (pow.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s) #s(literal 2 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s))
▶	99.4%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
	21.2%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
	18.6%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) (.f32 #s(literal 3/16 binary32) (.f32 x x))) (.f32 s s))) s))
▶	22.9%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))

Compiler

Compiled 892 to 494 computations (44.6% saved)

simplify104.0ms (1.4%)

Memory

13.7MiB live, 203.8MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	479
0	85	451
1	162	451
2	416	448
3	1584	448
0	8357	445

Stop Event

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

Calls

Call 1

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

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

localize183.0ms (2.4%)

Memory

51.9MiB live, 336.6MiB allocated; 78ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))
accuracy	0.04989507502624879	(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
accuracy	0.05859375	(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))
accuracy	0.1405674323577008	(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
accuracy	0.1366611823577008	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
accuracy	3.333102872570806	(/.f32 (*.f32 x x) s)
accuracy	4.580329883629151	(.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s)
accuracy	24.14061552893768	#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s))
accuracy	0.0	(fabs.f32 x)
accuracy	0.04989507502624879	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy	0.1366611823577008	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
accuracy	19.963049674157563	#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))
accuracy	0.0	(/.f32 #s(literal 1/4 binary32) s)
accuracy	24.687751660601716	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
accuracy	0.015625	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.04989507502624879	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.06529002155338329	(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))
accuracy	0.1210361823577008	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) s)

Samples

111.0ms

256×

valid

Compiler

Compiled 415 to 41 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 34.0ms (40.8% of total)

ival-div: 16.0ms (19.2% of total)

ival-add: 13.0ms (15.6% of total)

ival-exp: 8.0ms (9.6% of total)

ival-neg: 3.0ms (3.6% of total)

ival-sub: 2.0ms (2.4% of total)

ival-log1p: 2.0ms (2.4% of total)

ival-pow2: 2.0ms (2.4% of total)

ival-fabs: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series173.0ms (2.3%)

Memory

-13.2MiB live, 407.8MiB allocated; 80ms collecting garbage

Counts

24 → 118

Calls

Call 1

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

Outputs
(* -2 (log 2))
(- (* -1/4 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))
(- (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(- (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(/ (exp (neg (* 2 (log 2)))) s)
(+ (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 3))) (/ (exp (neg (* 2 (log 2)))) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 5))))) (/ (exp (neg (* 2 (log 2)))) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 7))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 5))))))) (/ (exp (neg (* 2 (log 2)))) s))
(exp (neg (* 2 (log 2))))
(+ (exp (neg (* 2 (log 2)))) (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 2))))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 4))))))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 6))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 4))))))))
(* -1 (/ x s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (fabs x))
(/ (exp (* -1 (/ (fabs x) s))) 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))))
(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)))))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(fabs x)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (- 2 (/ (fabs x) s)))
(+ (* 1/2 (/ (pow x 2) s)) (* s (- 2 (/ (fabs x) s))))
(/ (pow x 2) s)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(+ 1 (exp (* -1 (/ (fabs x) s))))
(* x (- (* -2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s)))
(/ (exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))) s)
(exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s))))
(exp (* -1 (/ x s)))
(log (+ 1 (exp (* -1 (/ x s)))))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(* -1 (* x (+ (* 2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s))))
(/ (exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s)))))))) s)
(exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s))))))))
(/ (+ (* -2 (* s (log (+ 1 (exp (* -1 (/ x s))))))) (* -1 x)) s)
(/ 1/4 s)
(/ (+ (* -1 (* s (fabs x))) (* 1/2 (pow x 2))) s)
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 (fabs x)) (* 2 s)))) s)
(- (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 2 (log 2)))
(- (* -1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(- (* -1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) (pow s 4))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2))))))
(/ (+ (exp (neg (* 2 (log 2)))) (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s)
(/ (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))))) s)
(/ (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) (pow s 4))))) s)
(+ (exp (neg (* 2 (log 2)))) (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3)))))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) (pow s 4)))))
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(/ 1 s)
(/ (+ 1 (* -1 (/ (fabs x) s))) s)
(/ (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) s)
(/ (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ (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))))))
(* 4 s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(* 2 s)
(* s (+ 2 (* -1 (/ (fabs x) s))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow x 2) (pow s 2))))))
4
(+ 4 (* -4 (/ (fabs x) s)))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(- (* 1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(- (* -1 (/ (- (* 1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) s)) (* 1/3 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) s))
(* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))
(* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1 (/ (+ (* 1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* 1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3)))))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (* -1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))))) (pow s 3)))))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* -1 (/ (- (/ (fabs x) s) 1) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1) 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)))
(+ (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 (* s (- (* 4 (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
(* -1 (* s (- (/ (fabs x) s) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow x 2) s))) s)) 2)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))

Calls

6 calls:

Time	Variable		Point	Expression
65.0ms	x	@	inf	((- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ (exp (/ (fabs x) (neg s))) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (/ (exp (/ (fabs x) (neg s))) s) (exp (/ (fabs x) (neg s))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (* (- 2 (/ (+ (* -1/2 (/ (* x x) s)) (fabs x)) s)) s) (/ (* x x) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1))
37.0ms	s	@	-inf	((- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ (exp (/ (fabs x) (neg s))) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (/ (exp (/ (fabs x) (neg s))) s) (exp (/ (fabs x) (neg s))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (* (- 2 (/ (+ (* -1/2 (/ (* x x) s)) (fabs x)) s)) s) (/ (* x x) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1))
21.0ms	s	@	0	((- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ (exp (/ (fabs x) (neg s))) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (/ (exp (/ (fabs x) (neg s))) s) (exp (/ (fabs x) (neg s))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (* (- 2 (/ (+ (* -1/2 (/ (* x x) s)) (fabs x)) s)) s) (/ (* x x) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1))
20.0ms	x	@	-inf	((- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ (exp (/ (fabs x) (neg s))) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (/ (exp (/ (fabs x) (neg s))) s) (exp (/ (fabs x) (neg s))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (* (- 2 (/ (+ (* -1/2 (/ (* x x) s)) (fabs x)) s)) s) (/ (* x x) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1))
20.0ms	x	@	0	((- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ (exp (/ (fabs x) (neg s))) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (/ (exp (/ (fabs x) (neg s))) s) (exp (/ (fabs x) (neg s))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (* (- 2 (/ (+ (* -1/2 (/ (* x x) s)) (fabs x)) s)) s) (/ (* x x) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1))

simplify683.0ms (9.1%)

Memory

-139.3MiB live, 357.8MiB allocated; 1.0s collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	567	2988
1	1924	2314
0	8688	2165

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 118

Calls

Call 1

Inputs
(* -2 (log 2))
(- (* -1/4 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))
(- (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(- (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(/ (exp (neg (* 2 (log 2)))) s)
(+ (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 3))) (/ (exp (neg (* 2 (log 2)))) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 5))))) (/ (exp (neg (* 2 (log 2)))) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 7))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 5))))))) (/ (exp (neg (* 2 (log 2)))) s))
(exp (neg (* 2 (log 2))))
(+ (exp (neg (* 2 (log 2)))) (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 2))))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 4))))))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 6))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 4))))))))
(* -1 (/ x s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (fabs x))
(/ (exp (* -1 (/ (fabs x) s))) 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))))
(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)))))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(fabs x)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* s (- 2 (/ (fabs x) s)))
(+ (* 1/2 (/ (pow x 2) s)) (* s (- 2 (/ (fabs x) s))))
(/ (pow x 2) s)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(+ 1 (exp (* -1 (/ (fabs x) s))))
(* x (- (* -2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s)))
(/ (exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))) s)
(exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s))))
(exp (* -1 (/ x s)))
(log (+ 1 (exp (* -1 (/ x s)))))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(* -1 (* x (+ (* 2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s))))
(/ (exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s)))))))) s)
(exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s))))))))
(/ (+ (* -2 (* s (log (+ 1 (exp (* -1 (/ x s))))))) (* -1 x)) s)
(/ 1/4 s)
(/ (+ (* -1 (* s (fabs x))) (* 1/2 (pow x 2))) s)
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 (fabs x)) (* 2 s)))) s)
(- (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 2 (log 2)))
(- (* -1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(- (* -1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) (pow s 4))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2))))))
(/ (+ (exp (neg (* 2 (log 2)))) (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s)
(/ (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))))) s)
(/ (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) (pow s 4))))) s)
(+ (exp (neg (* 2 (log 2)))) (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3)))))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) (pow s 4)))))
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(/ 1 s)
(/ (+ 1 (* -1 (/ (fabs x) s))) s)
(/ (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) s)
(/ (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ (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))))))
(* 4 s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))
(* 2 s)
(* s (+ 2 (* -1 (/ (fabs x) s))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow x 2) (pow s 2))))))
4
(+ 4 (* -4 (/ (fabs x) s)))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(- (* 1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(- (* -1 (/ (- (* 1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) s)) (* 1/3 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) s))
(* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))
(* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1 (/ (+ (* 1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* 1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3)))))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (* -1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))))) (pow s 3)))))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* -1 (/ (- (/ (fabs x) s) 1) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1) 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)))
(+ (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 (* s (- (* 4 (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
(* -1 (* s (- (/ (fabs x) s) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow x 2) s))) s)) 2)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))

Outputs
(* -2 (log 2))
(*.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))
(- (* -1/4 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))
(fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 x (/.f32 x s)) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
(- (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/4 binary32) (.f32 s s))) (.f32 x x) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
(- (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(fma.f32 (fma.f32 (fma.f32 (.f32 x (/.f32 x (pow.f32 s #s(literal 6 binary32)))) #s(literal -1/1440 binary32) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x) (/.f32 #s(literal -1/4 binary32) (.f32 s s))) (.f32 x x) (*.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
(/ (exp (neg (* 2 (log 2)))) s)
(/.f32 #s(literal 1/4 binary32) s)
(+ (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 3))) (/ (exp (neg (* 2 (log 2)))) s))
(/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s)
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 5))))) (/ (exp (neg (* 2 (log 2)))) s))
(fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 5 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 7))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 5))))))) (/ (exp (neg (* 2 (log 2)))) s))
(fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal -17/11520 binary32) (.f32 x x)) (pow.f32 s #s(literal 7 binary32))) (/.f32 #s(literal -1/96 binary32) (pow.f32 s #s(literal 5 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
(exp (neg (* 2 (log 2))))
#s(literal 1/4 binary32)
(+ (exp (neg (* 2 (log 2)))) (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 2))))
(fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 4))))))
(fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 6))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 4))))))))
(fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal -17/11520 binary32) (.f32 x x)) (pow.f32 s #s(literal 6 binary32))) (/.f32 #s(literal -1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(/ (exp (* -1 (/ (fabs x) s))) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 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 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)))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(fabs x)
(fabs.f32 x)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)
(* s (- 2 (/ (fabs x) s)))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) s)
(+ (* 1/2 (/ (pow x 2) s)) (* s (- 2 (/ (fabs x) s))))
(fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) x (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) s))
(/ (pow x 2) s)
(*.f32 x (/.f32 x s))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))
(* x (- (* -2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s)))
(.f32 (-.f32 (.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) x) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)
(/ (exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))) s)
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))) s)
(exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s))))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(* 1/2 (/ (pow x 2) s))
(.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32))
(* (pow x 2) (+ (* 1/2 (/ 1 s)) (/ (* s (- 2 (/ (fabs x) s))) (pow x 2))))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) x) (/.f32 s x) (/.f32 #s(literal 1/2 binary32) s)) (.f32 x x))
(* -1 (* x (+ (* 2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s))))
(*.f32 (neg.f32 x) (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/ (exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s)))))))) s)
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(exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s))))))))
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(/.f32 (-.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) (pow.f32 s #s(literal 3 binary32))) (/.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (*.f32 x x)) s) s)) #s(literal 1/4 binary32)) (neg.f32 s))
(* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1 (/ (+ (* 1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))
(/.f32 (-.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1/12 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) (/.f32 (fma.f32 #s(literal -1/48 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -7/4 binary32) (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 13/8 binary32))) (.f32 (pow.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) #s(literal 2 binary32)) #s(literal 1/8 binary32))) s))) (pow.f32 s #s(literal 3 binary32))) (.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x)) #s(literal 1/4 binary32)) (neg.f32 s))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* 1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3)))))
(fma.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) (pow.f32 s #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (*.f32 x x) #s(literal 1/4 binary32)))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (* -1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))))) (pow s 3)))))
(-.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) (/.f32 (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) #s(literal -1/12 binary32) (/.f32 (fma.f32 #s(literal -1/48 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -7/4 binary32) (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 13/8 binary32))) (.f32 (pow.f32 (.f32 #s(literal 1/4 binary32) (*.f32 x x)) #s(literal 2 binary32)) #s(literal 1/8 binary32))) (neg.f32 s))) (pow.f32 s #s(literal 3 binary32))))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(neg.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))) (/.f32 #s(literal 1/4 binary32) s)))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(/.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (neg.f32 (.f32 s s)))) (+.f32 (/.f32 (fma.f32 #s(literal 5/48 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (fabs.f32 x))) (pow.f32 s #s(literal 3 binary32))) #s(literal 1/4 binary32))) (neg.f32 s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(/.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (neg.f32 (.f32 s s))) (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) s) #s(literal 1/96 binary32) (neg.f32 (-.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1/24 binary32) (.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/48 binary32))) (.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (fabs.f32 x))))) (fma.f32 (/.f32 (-.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1/24 binary32) (.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/48 binary32))) (.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (fabs.f32 x))) s) (fabs.f32 x) (/.f32 (fma.f32 (.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32)) #s(literal 1/16 binary32) (.f32 (.f32 #s(literal 1/4 binary32) (.f32 #s(literal 3 binary32) (.f32 x x))) (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (.f32 x x))))) s))) (pow.f32 s #s(literal 3 binary32)))) #s(literal 1/4 binary32)) (neg.f32 s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)) s))
(* -1 (/ (- (/ (fabs x) s) 1) s))
(/.f32 (-.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1) s))
(/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x (neg.f32 (fabs.f32 x))) (neg.f32 s)) #s(literal 1 binary32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1) s))
(/.f32 (-.f32 (/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) (.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal 1/6 binary32))) s)) (neg.f32 s)) #s(literal 1 binary32)) (neg.f32 s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)) s))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (*.f32 x x)) s) x)) s))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (fma.f32 (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 s))) s))
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(.f32 (neg.f32 s) (-.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) #s(literal 4 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (neg.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x)))) s) #s(literal 4 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (-.f32 (.f32 #s(literal -4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal -3 binary32) (.f32 x x) (.f32 #s(literal 5/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s))) s)) (neg.f32 s)) #s(literal 4 binary32)))
(* -1 (* s (- (/ (fabs x) s) 2)))
(*.f32 (neg.f32 s) (-.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) x (neg.f32 (fabs.f32 x))) (neg.f32 s)) #s(literal 2 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) (*.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal 1/6 binary32))) s)) (neg.f32 s)) #s(literal 2 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow x 2) s))) s)) 2)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) x (neg.f32 (fabs.f32 x))) (neg.f32 s)) #s(literal 2 binary32)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal -3 binary32) (.f32 x (/.f32 x s)) (.f32 #s(literal 4 binary32) (fabs.f32 x))) s))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))
(-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (fma.f32 #s(literal -5/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) (.f32 #s(literal 3 binary32) (.f32 x x))) (neg.f32 s))) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)) s))

rewrite205.0ms (2.7%)

Memory

-13.5MiB live, 650.2MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	345
0	85	310
1	275	310
2	1756	255
0	9141	253

Stop Event

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

Counts

24 → 560

Calls

Call 1

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

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

eval110.0ms (1.5%)

Memory: 29.3MiB live, 700.3MiB allocated; 31ms collecting garbage
Compiler: Compiled 33 010 to 2 869 computations (91.3% saved)

prune42.0ms (0.6%)

Memory

-49.0MiB live, 247.6MiB allocated; 11ms collecting garbage

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	632	19	651
Fresh	2	6	8
Picked	4	1	5
Done	0	0	0
Total	638	26	664

Accuracy

99.6%

Counts

664 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.3%	(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
	73.3%	(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (-.f32 (/.f32 x s) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x s)))))))) s)
	23.6%	(/.f32 (.f32 (exp.f32 (/.f32 x s)) (exp.f32 (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s)))))) s)
▶	73.3%	(/.f32 (exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))) s)
	95.6%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s)) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))))))
	94.6%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 2 binary32) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	74.2%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(approx (* (- 2 (/ (+ (* -1/2 (/ (* x x) s)) (fabs x)) s)) s) (/.f32 (fma.f32 (neg.f32 s) (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	99.4%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
	95.4%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32)) s)))
	95.7%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (+.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32)) s)))
	94.3%	(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
▶	94.3%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
	96.0%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 #s(approx (log (+ 1 (exp (/ (neg x) 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)))) #s(literal 2 binary32)))) s)
	70.2%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
	96.4%	(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 x (/.f32 x s)) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))))) s)
	20.5%	(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))) (.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	20.7%	(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))) #s(approx ( (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
	10.7%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
▶	18.6%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
▶	99.4%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
	79.9%	(/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 x s)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)))
	23.6%	(*.f32 (/.f32 (exp.f32 (/.f32 x s)) (fma.f32 (exp.f32 (/.f32 x s)) s s)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))))
	21.2%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
	18.6%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) (.f32 #s(literal 3/16 binary32) (.f32 x x))) (.f32 s s))) s))
✓	22.9%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
▶	13.8%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))))

Compiler

Compiled 1 764 to 1 074 computations (39.1% saved)

simplify123.0ms (1.6%)

Memory

25.7MiB live, 356.3MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 (log1p.f32 (exp.f32 (/.f32 x s))))
cost-diff	0	(exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s)))
cost-diff	0	(/.f32 (exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))) s)
cost-diff	1	(fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))
cost-diff	0	(/.f32 (neg.f32 x) s)
cost-diff	0	(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))))
cost-diff	0	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
cost-diff	1	(-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1/4 binary32) s)
cost-diff	0	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))))
cost-diff	1	(+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32))))
cost-diff	5	(fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x)))
cost-diff	0	(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
cost-diff	0	(fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))
cost-diff	0	#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)))
cost-diff	0	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
cost-diff	0	(fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))
cost-diff	0	(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
cost-diff	0	#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))))
cost-diff	0	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	429
0	99	409
1	204	405
2	684	402
3	3859	402
0	8371	396

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
(fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(literal -2 binary32)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)))
(fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))
(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
#s(literal -1/16 binary32)
(*.f32 s s)
s
(*.f32 x x)
x
#s(literal 1/4 binary32)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32))))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
s
(/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))
(fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x)))
#s(literal -3/16 binary32)
(*.f32 x x)
x
(.f32 #s(literal 1/8 binary32) (.f32 x x))
#s(literal 1/8 binary32)
(pow.f32 s #s(literal 3 binary32))
#s(literal 3 binary32)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))))
(-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))
(log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 2 binary32)
(/.f32 (exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))) s)
(exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s)))
(fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x s))))
(log1p.f32 (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(literal 2 binary32)

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

localize582.0ms (7.8%)

Memory

-11.5MiB live, 2 057.4MiB allocated; 84ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.06507462485731899	(exp.f32 (/.f32 x s))
accuracy	0.06529002155338329	(exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s)))
accuracy	0.1210361823577008	(/.f32 (exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))) s)
accuracy	1.876896854303246	(log1p.f32 (exp.f32 (/.f32 x s)))
accuracy	0.015625	(log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32)))
accuracy	0.06529002155338329	(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))))
accuracy	0.1210361823577008	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
accuracy	3.688764388639544	#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
accuracy	0.0078125	(.f32 #s(literal 1/8 binary32) (.f32 x x))
accuracy	0.09778170194669852	(+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32))))
accuracy	3.131678899748012	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))))
accuracy	5.3646660887111235	(/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))
accuracy	0.08453220678211854	(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
accuracy	0.1210361823577008	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
accuracy	3.0061694146132596	(fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))
accuracy	3.0941127890737623	#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)))
accuracy	0.015625	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.04989507502624879	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.06529002155338329	(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
accuracy	0.1210361823577008	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)

Samples

481.0ms	179×	5	exit
45.0ms	77×	0	valid

Compiler

Compiled 393 to 51 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 454.0ms

ival-log1p: 190.0ms (41.8% of total)

adjust: 125.0ms (27.5% of total)

ival-exp: 45.0ms (9.9% of total)

ival-div: 36.0ms (7.9% of total)

ival-mult: 24.0ms (5.3% of total)

ival-add: 15.0ms (3.3% of total)

ival-neg: 9.0ms (2% of total)

ival-pow: 5.0ms (1.1% of total)

ival-sub: 2.0ms (0.4% of total)

ival-fabs: 1.0ms (0.2% of total)

exact: 1.0ms (0.2% of total)

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

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

series95.0ms (1.3%)

Memory

18.1MiB live, 253.4MiB allocated; 12ms collecting garbage

Counts

28 → 141

Calls

Call 1

Inputs
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
(fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)))
(fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))
(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
(fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x)))
(+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))))
(/.f32 #s(literal 1/4 binary32) s)
(-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))))
(/.f32 (neg.f32 x) s)
(fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))
(/.f32 (exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))) s)
(exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s)))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 (neg.f32 x) s))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))
(.f32 #s(literal 1/8 binary32) (.f32 x x))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
(log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32)))
(log1p.f32 (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))

Outputs
(/ (exp (neg (* 2 (log 2)))) s)
(+ (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 3))) (/ (exp (neg (* 2 (log 2)))) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 5))))) (/ (exp (neg (* 2 (log 2)))) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 7))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 5))))))) (/ (exp (neg (* 2 (log 2)))) s))
(exp (neg (* 2 (log 2))))
(+ (exp (neg (* 2 (log 2)))) (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 2))))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 4))))))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 6))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 4))))))))
1/4
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))))
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -17/11520 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2))))))
(* -2 (log 2))
(+ (* -2 (log 2)) (* -1/4 (/ (pow x 2) (pow s 2))))
(+ (* -2 (log 2)) (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))))
(+ (* -2 (log 2)) (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))))
(* -1/16 (pow x 2))
(/ 1/4 s)
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(- (* -1/4 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))
(- (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(- (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(* -1 (/ x s))
(+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/11520 (/ (pow x 2) (pow s 7))) (* 1/96 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))
(* -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))
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))))
(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)))))
(* -1/16 (/ (pow x 2) (pow s 3)))
(* 1/8 (pow x 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 (/ 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))))
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Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	s	@	0	((/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (/ -1/16 (* s s)) (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (+ (/ 1/4 s) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s)) (/ (exp (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s))) s) (exp (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s))) (neg (log (+ 1 (exp (/ x s))))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3)) (* 1/8 (* x x)) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (log (+ 1 (exp (/ x s)))) (exp (/ x s)))
20.0ms	x	@	-inf	((/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (/ -1/16 (* s s)) (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (+ (/ 1/4 s) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s)) (/ (exp (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s))) s) (exp (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s))) (neg (log (+ 1 (exp (/ x s))))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3)) (* 1/8 (* x x)) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (log (+ 1 (exp (/ x s)))) (exp (/ x s)))
20.0ms	x	@	inf	((/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (/ -1/16 (* s s)) (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (+ (/ 1/4 s) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s)) (/ (exp (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s))) s) (exp (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s))) (neg (log (+ 1 (exp (/ x s))))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3)) (* 1/8 (* x x)) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (log (+ 1 (exp (/ x s)))) (exp (/ x s)))
9.0ms	x	@	0	((/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (/ -1/16 (* s s)) (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (+ (/ 1/4 s) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s)) (/ (exp (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s))) s) (exp (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s))) (neg (log (+ 1 (exp (/ x s))))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3)) (* 1/8 (* x x)) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (log (+ 1 (exp (/ x s)))) (exp (/ x s)))
8.0ms	s	@	inf	((/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (/ -1/16 (* s s)) (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (+ (/ 1/4 s) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s)) (/ (exp (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s))) s) (exp (+ (* (neg (log (+ 1 (exp (/ x s))))) 2) (/ x s))) (neg (log (+ 1 (exp (/ x s))))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3)) (* 1/8 (* x x)) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (log (+ 1 (exp (/ x s)))) (exp (/ x s)))

simplify141.0ms (1.9%)

Memory

27.4MiB live, 210.2MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	725	3846
1	2455	2989
0	8887	2778

Stop Event

1×	iter limit
1×	node limit

Counts

141 → 141

Calls

Call 1

Inputs
(/ (exp (neg (* 2 (log 2)))) s)
(+ (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 3))) (/ (exp (neg (* 2 (log 2)))) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 5))))) (/ (exp (neg (* 2 (log 2)))) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 7))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 5))))))) (/ (exp (neg (* 2 (log 2)))) s))
(exp (neg (* 2 (log 2))))
(+ (exp (neg (* 2 (log 2)))) (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 2))))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 4))))))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 6))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 4))))))))
1/4
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))))
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -17/11520 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2))))))
(* -2 (log 2))
(+ (* -2 (log 2)) (* -1/4 (/ (pow x 2) (pow s 2))))
(+ (* -2 (log 2)) (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))))
(+ (* -2 (log 2)) (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))))
(* -1/16 (pow x 2))
(/ 1/4 s)
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(- (* -1/4 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))
(- (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(- (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(* -1 (/ x s))
(+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/11520 (/ (pow x 2) (pow s 7))) (* 1/96 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))
(* -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))
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))))
(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)))))
(* -1/16 (/ (pow x 2) (pow s 3)))
(* 1/8 (pow x 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 (/ 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))))
(/ (exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))) s)
(exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s))))
(exp (- (* -2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))
(* x (- (* -2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s)))
(* -1/16 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))
(/ x s)
(* x (+ (* -2 (/ (log (+ 1 (exp (/ x s)))) x)) (/ 1 s)))
(/ (exp (+ (* -2 (log (+ 1 (exp (/ x s))))) (/ x s))) s)
(exp (+ (* -2 (log (+ 1 (exp (/ x s))))) (/ x s)))
(* -1 (log (+ 1 (exp (/ x s)))))
(exp (* -1 (/ x s)))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (/ x s))))
(exp (/ x s))
(/ (exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s)))))))) s)
(exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s))))))))
(exp (+ (* -2 (log (+ 1 (exp (* -1 (/ x s)))))) (* -1 (/ x s))))
(* -1 (* x (+ (* 2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s))))
(* -1 (* x (- (* 2 (/ (log (+ 1 (exp (/ x s)))) x)) (/ 1 s))))
(/ (exp (- (* -2 (log (+ 1 (exp (/ x s))))) (* -1 (/ x s)))) s)
(exp (- (* -2 (log (+ 1 (exp (/ x s))))) (* -1 (/ x s))))
(/ (+ (* -2 (* s (log (+ 1 (exp (* -1 (/ x s))))))) (* -1 x)) s)
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ -1/16 (pow s 2))
(/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 3))
(/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 3))
(/ (+ x (* -2 (* s (log (+ 1 (exp (/ x s))))))) s)
(/ (+ (exp (neg (* 2 (log 2)))) (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s)
(/ (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))))) s)
(/ (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) (pow s 4))))) s)
(+ (exp (neg (* 2 (log 2)))) (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3)))))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) (pow s 4)))))
(+ 1/4 (* 1/4 (/ (+ x (* -1 x)) s)))
(+ 1/4 (+ (* 1/4 (/ (+ x (* -1 x)) s)) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))) (pow s 2)))))
(+ 1/4 (+ (* 1/4 (/ (+ x (* -1 x)) s)) (+ (* 1/4 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/3 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) (pow s 3))) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))) (pow s 2))))))
(+ (* -2 (log 2)) (+ (* -1 (/ x s)) (/ x s)))
(+ (* -2 (log 2)) (+ (* -1 (/ x s)) (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (/ x s))))
(+ (* -2 (log 2)) (+ (* -1 (/ x s)) (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (/ x s)))))
(/ (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))) s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(- (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 2 (log 2)))
(- (* -1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(- (* -1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) (pow s 4))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2))))))
(+ (* -2 (log 2)) (+ (* -1 (/ x s)) (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (/ x s)))))
(/ (+ 1/4 (* 1/4 (/ (+ x (* -1 x)) s))) s)
(/ (+ 1/4 (+ (* 1/4 (/ (+ x (* -1 x)) s)) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))) (pow s 2))))) s)
(/ (+ 1/4 (+ (* 1/4 (/ (+ x (* -1 x)) s)) (+ (* 1/4 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/3 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) (pow s 3))) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))) (pow s 2)))))) s)
(+ 1/4 (+ (* 1/4 (/ (+ x (* -1 x)) s)) (+ (* 1/4 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/3 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) (pow s 3))) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))) (pow s 2))))))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* 1/2 (/ x s))))
(- (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (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))))))
(+ 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))))))
(+ (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))))))
(+ (log 2) (+ (* 1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ (* 1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (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 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) s))
(* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))
(* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1 (/ (+ (* 1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* 1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3)))))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (* -1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))))) (pow s 3)))))
(+ 1/4 (* -1/4 (/ (+ x (* -1 x)) s)))
(+ 1/4 (* -1 (/ (+ (* -1/4 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))) s)) (* 1/4 (+ x (* -1 x)))) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/3 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) s)) (* 1/4 (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))))) s)) (* 1/4 (+ x (* -1 x)))) s)))
(+ (* -2 (log 2)) (* -1 (/ (+ x (* -1 x)) s)))
(+ (* -2 (log 2)) (* -1 (/ (+ x (+ (* -1 x) (+ (* -1/4 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))))) s)))
(+ (* -2 (log 2)) (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)))) s)))
(* -1 (/ (- (* -1 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) 1/4) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(- (* 1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(- (* -1 (/ (- (* 1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) s)) (* 1/3 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(+ (* -2 (log 2)) (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) s))) s)))) s)))
(* -1 (/ (- (* 1/4 (/ (+ x (* -1 x)) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/4 (+ x (* -1 x))) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))) s))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2)))) (* 1/4 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/3 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) s))) s)) (* -1/4 (+ x (* -1 x)))) s)) 1/4) s))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/3 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) s)) (* 1/4 (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))))) s)) (* 1/4 (+ x (* -1 x)))) 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 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* -1/2 x)) s)) (log 2))
(+ 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)))
(+ (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)))
(+ (log 2) (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* -1/2 x)) s)))
(+ 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)))

Outputs
(/ (exp (neg (* 2 (log 2)))) s)
(/.f32 #s(literal 1/4 binary32) s)
(+ (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 3))) (/ (exp (neg (* 2 (log 2)))) s))
(fma.f32 (.f32 (.f32 x x) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 5))))) (/ (exp (neg (* 2 (log 2)))) s))
(fma.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/24 binary32) (/.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 7))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 5))))))) (/ (exp (neg (* 2 (log 2)))) s))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 7 binary32)))) #s(literal -17/2880 binary32) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 5 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
(exp (neg (* 2 (log 2))))
#s(literal 1/4 binary32)
(+ (exp (neg (* 2 (log 2)))) (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 2))))
(fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 (/.f32 (.f32 x x) s) #s(literal 1/4 binary32)) #s(literal 1/4 binary32))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 4))))))
(fma.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 4 binary32)))) #s(literal 1/24 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (.f32 x x) #s(literal 1/4 binary32))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 6))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 4))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 6 binary32)))) #s(literal -17/2880 binary32) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32))
(+ 1/4 (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))))
(fma.f32 (-.f32 (/.f32 (.f32 #s(literal 1/96 binary32) (.f32 x x)) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal 1/16 binary32) (.f32 s s))) (.f32 x x) #s(literal 1/4 binary32))
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -17/11520 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2))))))
(fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 (.f32 x x) (pow.f32 s #s(literal 6 binary32))) #s(literal -17/11520 binary32) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x)) (/.f32 #s(literal 1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))
(* -2 (log 2))
(*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)))
(+ (* -2 (log 2)) (* -1/4 (/ (pow x 2) (pow s 2))))
(fma.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 (.f32 x x) s) (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))
(+ (* -2 (log 2)) (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))))
(fma.f32 (-.f32 (/.f32 (.f32 #s(literal 1/96 binary32) (.f32 x x)) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 s s))) (.f32 x x) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))
(+ (* -2 (log 2)) (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))))
(fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/1440 binary32) (/.f32 (.f32 x x) (pow.f32 s #s(literal 6 binary32))) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x)) (/.f32 #s(literal 1/4 binary32) (.f32 s s))) (.f32 x x) (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))
(* -1/16 (pow x 2))
(.f32 #s(literal -1/16 binary32) (.f32 x x))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))
(fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/16 binary32) (/.f32 #s(literal 1/4 binary32) s))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(- (* -1/4 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))
(fma.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 (.f32 x x) s) (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))
(- (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(fma.f32 (-.f32 (/.f32 (.f32 #s(literal 1/96 binary32) (.f32 x x)) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 s s))) (.f32 x x) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))
(- (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/1440 binary32) (/.f32 (.f32 x x) (pow.f32 s #s(literal 6 binary32))) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x)) (/.f32 #s(literal 1/4 binary32) (.f32 s s))) (.f32 x x) (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))
(fma.f32 (-.f32 (/.f32 (.f32 #s(literal 1/96 binary32) (.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/11520 (/ (pow x 2) (pow s 7))) (* 1/96 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))
(fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 (.f32 x x) (pow.f32 s #s(literal 7 binary32))) #s(literal -17/11520 binary32) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 5 binary32)))) (.f32 x x)) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
(* -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 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32)) (/.f32 #s(literal 1/2 binary32) 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 (-.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal 1/192 binary32) (.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 #s(literal 1/2 binary32) (/.f32 x (.f32 s s))) (/.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 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 (-.f32 (.f32 #s(literal 1/8 binary32) (/.f32 x (.f32 s 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 (-.f32 (.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)))
(* -1/16 (/ (pow x 2) (pow s 3)))
(/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (pow.f32 s #s(literal 3 binary32)))
(* 1/8 (pow x 2))
(.f32 #s(literal 1/8 binary32) (.f32 x x))
(+ (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 #s(literal 1/8 binary32) (/.f32 x (*.f32 s 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 (/ x s))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
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(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/3 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) s)) (* 1/4 (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))))) s)) (* 1/4 (+ x (* -1 x)))) s)))
(-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/4 binary32) (-.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/4 binary32)) #s(literal 0 binary32) (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) #s(literal -1/3 binary32) #s(literal 0 binary32))) s) (fma.f32 (*.f32 x x) #s(literal -1/4 binary32) #s(literal 0 binary32)))) (neg.f32 s)) #s(literal 0 binary32)) s))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/2 x)) s)) (log 2))
(-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (.f32 x x) s) #s(literal 1/4 binary32) x)) (neg.f32 s)) (log.f32 #s(literal 2 binary32)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* -1/2 x)) s)) (log 2))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) s) #s(literal 1/6 binary32) (.f32 (.f32 (.f32 x x) #s(literal -1/4 binary32)) #s(literal 1/2 binary32))) (neg.f32 s)) (*.f32 #s(literal -1/2 binary32) x)) (neg.f32 s)) (log.f32 #s(literal 2 binary32)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x 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 #s(literal 1/2 binary32) (.f32 x x))) s)) s))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 x x) s) #s(literal 1/4 binary32) (neg.f32 x))) s))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (fma.f32 (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) #s(literal 1/2 binary32))) (neg.f32 s))) s))
(+ (log 2) (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 x x) s) #s(literal 1/4 binary32) x)) s))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* -1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) x (/.f32 (fma.f32 (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) #s(literal 1/2 binary32))) (neg.f32 s))) s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32)) x) s))
(+ 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 #s(literal 1/2 binary32) (.f32 x x))) (neg.f32 s)) x) s))

rewrite164.0ms (2.2%)

Memory

-35.0MiB live, 158.3MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	376
0	99	360
1	371	346
2	2915	308
0	9354	303

Stop Event

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

Counts

28 → 528

Calls

Call 1

Inputs
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
(fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)))
(fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))
(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
(fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x)))
(+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))))
(/.f32 #s(literal 1/4 binary32) s)
(-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))))
(/.f32 (neg.f32 x) s)
(fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))
(/.f32 (exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))) s)
(exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s)))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 (neg.f32 x) s))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))
(.f32 #s(literal 1/8 binary32) (.f32 x x))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
(log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32)))
(log1p.f32 (exp.f32 (/.f32 x s)))
(exp.f32 (/.f32 x s))

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

eval76.0ms (1%)

Memory: 10.4MiB live, 110.4MiB allocated; 20ms collecting garbage
Compiler: Compiled 28 132 to 3 059 computations (89.1% saved)

prune29.0ms (0.4%)

Memory

18.9MiB live, 65.1MiB allocated; 4ms collecting garbage

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	587	13	600
Fresh	8	12	20
Picked	4	1	5
Done	0	1	1
Total	599	27	626

Accuracy

99.6%

Counts

626 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.3%	(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
	23.6%	(/.f32 (.f32 (exp.f32 (/.f32 x s)) (exp.f32 (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s)))))) s)
	73.3%	(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x s))) s)
	94.6%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 2 binary32) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	74.2%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(approx (* (- 2 (/ (+ (* -1/2 (/ (* x x) s)) (fabs x)) s)) s) (/.f32 (fma.f32 (neg.f32 s) (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
▶	99.4%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
▶	94.3%	(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
▶	70.2%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
	96.4%	(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 x (/.f32 x s)) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))))) s)
	20.7%	(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))) #s(approx ( (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
	10.7%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
	22.1%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32))) s)
▶	18.7%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))) s)
	73.3%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x s)))))) s)
✓	99.4%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
▶	94.3%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
	93.1%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 #s(literal 1/8 binary32) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
	5.7%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
	79.9%	(/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 x s)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)))
	23.6%	(*.f32 (/.f32 (exp.f32 (/.f32 x s)) (fma.f32 (exp.f32 (/.f32 x s)) s s)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))))
	22.5%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal -1/16 binary32) s) (/.f32 #s(literal 1/4 binary32) s)))
	20.8%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal -3/16 binary32) s) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
	18.6%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) s)))
	17.8%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (/.f32 (.f32 #s(literal -3/16 binary32) x) (.f32 s s)) (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
	19.6%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) s (.f32 s #s(literal 1/4 binary32))) (*.f32 s s)))
✓	22.9%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
	22.5%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (+ (/ 1/4 s) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3))) (/.f32 (-.f32 (.f32 #s(literal 1/16 binary32) (.f32 (/.f32 x s) (/.f32 x s))) #s(literal 1/4 binary32)) (neg.f32 s))))

Compiler

Compiled 1 856 to 1 109 computations (40.2% saved)

simplify139.0ms (1.8%)

Memory

-29.9MiB live, 207.7MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32))))
cost-diff	0	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
cost-diff	1	(-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))
cost-diff	3	(fma.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))
cost-diff	0	(fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))
cost-diff	0	(exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
cost-diff	0	#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))))
cost-diff	0	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
cost-diff	0	(neg.f32 x)
cost-diff	0	(/.f32 (neg.f32 x) s)
cost-diff	0	(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff	0	(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
cost-diff	0	(.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x)
cost-diff	0	(fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))
cost-diff	0	#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32)))
cost-diff	0	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))) s)
cost-diff	0	(neg.f32 (fabs.f32 x))
cost-diff	0	(/.f32 (neg.f32 (fabs.f32 x)) s)
cost-diff	0	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
cost-diff	0	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	611
0	108	583
1	203	579
2	534	579
3	2001	563
0	8519	540

Stop Event

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

Calls

Call 1

Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(/.f32 (fabs.f32 x) (neg.f32 s))
(neg.f32 s)
#s(literal 1 binary32)
#s(literal 2 binary32)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))) s)
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32)))
(fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))
(.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x)
(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
#s(literal -1/16 binary32)
(*.f32 s s)
s
x
#s(literal 1/4 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))
(*.f32 #s(literal 4 binary32) s)
#s(literal 4 binary32)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))))
(exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
(fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))
(log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal -2 binary32)
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32))))
(-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))))
(fma.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))
(*.f32 x (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 x s) s)
(/.f32 x s)
#s(literal 1/8 binary32)
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))
#s(literal -1/2 binary32)
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)

Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(/.f32 (fabs.f32 x) (neg.f32 s))
(neg.f32 (fabs.f32 x))
(fabs.f32 x)
x
s
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s))
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) s)
(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(/.f32 (fabs.f32 x) (neg.f32 s))
(neg.f32 s)
#s(literal 1 binary32)
#s(literal 2 binary32)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))) s)
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32)))
(fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))
(.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x)
(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
#s(literal -1/16 binary32)
(*.f32 s s)
s
x
#s(literal 1/4 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))
(*.f32 #s(literal 4 binary32) s)
#s(literal 4 binary32)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) (/.f32 (neg.f32 x) s)))) s)
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))))
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) (/.f32 (neg.f32 x) s))))
(exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) (/.f32 (neg.f32 x) s)))
(fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))
(fma.f32 #s(literal -2 binary32) (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) (/.f32 (neg.f32 x) s))
(log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal -2 binary32)
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (fma.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 #s(literal 1/8 binary32) s) x #s(literal -1/2 binary32))) s) (log.f32 #s(literal 2 binary32)))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))) s)
(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32))))
(exp.f32 (fma.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 #s(literal 1/8 binary32) s) x #s(literal -1/2 binary32))) s) (log.f32 #s(literal 2 binary32)))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
(-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))
(fma.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 #s(literal 1/8 binary32) s) x #s(literal -1/2 binary32))) s) (log.f32 #s(literal 2 binary32)))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
(.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32))
(.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (/.f32 (.f32 x (fma.f32 (/.f32 #s(literal 1/8 binary32) s) x #s(literal -1/2 binary32))) s) (log.f32 #s(literal 2 binary32)))) #s(literal 2 binary32))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 #s(literal 1/8 binary32) s) x #s(literal -1/2 binary32))) s) (log.f32 #s(literal 2 binary32))))
(fma.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))
(+.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 #s(literal 1/8 binary32) s) x #s(literal -1/2 binary32))) s) (log.f32 #s(literal 2 binary32)))
(*.f32 x (/.f32 (/.f32 x s) s))
(*.f32 (/.f32 (/.f32 x s) s) x)
(/.f32 (/.f32 x s) s)
(/.f32 x s)
#s(literal 1/8 binary32)
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))
#s(literal -1/2 binary32)
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)

localize204.0ms (2.7%)

Memory

40.1MiB live, 276.4MiB allocated; 15ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(/.f32 (/.f32 x s) s)
accuracy	1.8498375979280168	(*.f32 x (/.f32 (/.f32 x s) s))
accuracy	5.775032642926899	(fma.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))
accuracy	24.580428805202448	#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))))
accuracy	0.015625	(log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32)))
accuracy	0.06529002155338329	(exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
accuracy	0.1210361823577008	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
accuracy	24.657415010415388	#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
accuracy	0.0	(neg.f32 x)
accuracy	0.04989507502624879	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.1366611823577008	(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
accuracy	19.963049674157563	#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))
accuracy	0.17752968694640608	(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
accuracy	1.7614757151955636	(fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))
accuracy	3.4288752324080978	(.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x)
accuracy	24.73436594052228	#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32)))
accuracy	0.04989507502624879	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy	0.04989507502624879	(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
accuracy	0.05859375	(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))
accuracy	0.1366611823577008	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))

Samples

133.0ms

256×

valid

Compiler

Compiled 444 to 52 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-div: 65.0ms (60% of total)

ival-mult: 16.0ms (14.8% of total)

ival-exp: 8.0ms (7.4% of total)

ival-add: 6.0ms (5.5% of total)

ival-neg: 3.0ms (2.8% of total)

ival-fabs: 2.0ms (1.8% of total)

ival-log: 2.0ms (1.8% of total)

ival-log1p: 2.0ms (1.8% of total)

ival-pow2: 2.0ms (1.8% of total)

ival-sub: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series91.0ms (1.2%)

Memory

-13.1MiB live, 92.1MiB allocated; 18ms collecting garbage

Counts

29 → 133

Calls

Call 1

Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))) s)
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32)))
(fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))
(.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x)
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))))
(exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
(fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))
(fma.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))
(-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32))))
(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
(log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32)))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))))
(*.f32 x (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 x s) s)

Outputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (fabs x))
(/ (exp (neg (* 2 (log 2)))) s)
(+ (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 3))) (/ (exp (neg (* 2 (log 2)))) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 5))))) (/ (exp (neg (* 2 (log 2)))) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 7))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 5))))))) (/ (exp (neg (* 2 (log 2)))) s))
(exp (neg (* 2 (log 2))))
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(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 4))))))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 6))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 4))))))))
1/4
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(* -1/16 (/ x (pow s 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(+ (* -1 (/ x (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
(+ (* x (- (* 1/2 (/ x (* (pow s 3) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
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1
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(* -1 (/ x s))
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(* -2 (log 2))
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(log 2)
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(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
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(/ (pow x 2) (pow s 2))
(/ x (pow s 2))
(/ (exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))) s)
(exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s))))
(* -1/16 (/ (pow x 2) (pow s 2)))
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(exp (+ (* -2 (log (+ 1 (exp (* -1 (/ x s)))))) (* -1 (/ x s))))
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(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (log 2) x)) (* 1/2 (/ 1 s))) x)) (* 1/8 (/ 1 (pow s 2)))))
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ (+ (* -2 (* s (log (+ 1 (exp (* -1 (/ x s))))))) (* -1 x)) s)
(/ (+ (* -1/2 (* s x)) (* 1/8 (pow x 2))) (pow s 2))
(/ (+ (* 1/8 (pow x 2)) (* s (+ (* -1/2 x) (* s (log 2))))) (pow s 2))
(/ -1/16 (pow s 2))
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
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(/ (+ (exp (neg (* 2 (log 2)))) (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s)
(/ (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))))) s)
(/ (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) (pow s 4))))) s)
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(/ (- (+ 1/4 (* -1/4 (/ x s))) (* -1/4 (/ (fabs x) s))) s)
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(/ (- (+ 1/4 (+ (* -1/4 (/ x s)) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/4 x) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow x 2)) (+ (* -1 (* (fabs x) (- (* -1/4 x) (* -1/4 (fabs x))))) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 3))) (+ (* -1/4 (/ (fabs x) s)) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* -1/4 x) (* -1/4 (fabs x)))) (pow s 3))))))))) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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(+ (* -2 (log 2)) (+ (* -1 (/ x s)) (/ x s)))
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(+ (* -2 (log 2)) (+ (* -1 (/ x s)) (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (/ x s)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))
(- (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 2 (log 2)))
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(- (* -1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) (pow s 4))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2))))))
4
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(* 4 s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
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(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
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(* -1 (/ (- (* 1/4 (/ x s)) (+ 1/4 (* 1/4 (/ (fabs x) s)))) s))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/4 x) (* 1/4 (fabs x)))) (* 1/8 (/ (pow x 2) s))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (/ (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x)))) s))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* 1/4 x) (* 1/4 (fabs x)))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x))))))) (* 1/24 (/ (pow x 3) s))) (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/4 x) (* 1/4 (fabs x)))) s)) (/ (* (fabs x) (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x))))))) s)))) s))) s)) 1/4) 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)))
(+ 1/4 (* -1/4 (/ (+ x (* -1 x)) s)))
(+ 1/4 (* -1 (/ (+ (* -1/4 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))) s)) (* 1/4 (+ x (* -1 x)))) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/3 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) s)) (* 1/4 (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))))) s)) (* 1/4 (+ x (* -1 x)))) s)))
(+ (* -2 (log 2)) (* -1 (/ (+ x (* -1 x)) s)))
(+ (* -2 (log 2)) (* -1 (/ (+ x (+ (* -1 x) (+ (* -1/4 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))))) s)))
(+ (* -2 (log 2)) (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)))) s)))
(+ (log 2) (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))
(- (* 1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(- (* -1 (/ (- (* 1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) s)) (* 1/3 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
(+ (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)))

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	x	@	0	((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (* (/ -1/16 (* s s)) x) x) 1/4) (* (/ -1/16 (* s s)) x) (/ (exp (/ (neg x) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (+ (* (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (exp (/ (fabs x) (neg s))) (/ -1/16 (* s s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (log (+ 1 (exp (/ (neg x) s)))) (* x (/ (/ x s) s)) (/ (/ x s) s))
19.0ms	x	@	-inf	((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (* (/ -1/16 (* s s)) x) x) 1/4) (* (/ -1/16 (* s s)) x) (/ (exp (/ (neg x) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (+ (* (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (exp (/ (fabs x) (neg s))) (/ -1/16 (* s s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (log (+ 1 (exp (/ (neg x) s)))) (* x (/ (/ x s) s)) (/ (/ x s) s))
12.0ms	x	@	inf	((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (* (/ -1/16 (* s s)) x) x) 1/4) (* (/ -1/16 (* s s)) x) (/ (exp (/ (neg x) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (+ (* (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (exp (/ (fabs x) (neg s))) (/ -1/16 (* s s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (log (+ 1 (exp (/ (neg x) s)))) (* x (/ (/ x s) s)) (/ (/ x s) s))
11.0ms	s	@	0	((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (* (/ -1/16 (* s s)) x) x) 1/4) (* (/ -1/16 (* s s)) x) (/ (exp (/ (neg x) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (+ (* (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (exp (/ (fabs x) (neg s))) (/ -1/16 (* s s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (log (+ 1 (exp (/ (neg x) s)))) (* x (/ (/ x s) s)) (/ (/ x s) s))
4.0ms	s	@	inf	((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (* (/ -1/16 (* s s)) x) x) 1/4) (* (/ -1/16 (* s s)) x) (/ (exp (/ (neg x) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (+ (* (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (exp (/ (fabs x) (neg s))) (/ -1/16 (* s s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (log (+ 1 (exp (/ (neg x) s)))) (* x (/ (/ x s) s)) (/ (/ x s) s))

simplify212.0ms (2.8%)

Memory

-35.3MiB live, 154.3MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	745	3771
1	2530	3070
0	8863	2888

Stop Event

1×	iter limit
1×	node limit

Counts

133 → 133

Calls

Call 1

Inputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (fabs x))
(/ (exp (neg (* 2 (log 2)))) s)
(+ (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 3))) (/ (exp (neg (* 2 (log 2)))) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 5))))) (/ (exp (neg (* 2 (log 2)))) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 7))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 5))))))) (/ (exp (neg (* 2 (log 2)))) s))
(exp (neg (* 2 (log 2))))
(+ (exp (neg (* 2 (log 2)))) (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 2))))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 4))))))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 6))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 4))))))))
1/4
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(* -1/16 (/ x (pow s 2)))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(+ (* -1 (/ x (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
(+ (* x (- (* 1/2 (/ x (* (pow s 3) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
(+ (* x (- (* x (+ (* -1/6 (/ x (* (pow s 4) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
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)
(+ 1/4 (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))))
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -17/11520 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2))))))
(* -2 (log 2))
(+ (* -2 (log 2)) (* -1/4 (/ (pow x 2) (pow s 2))))
(+ (* -2 (log 2)) (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))))
(+ (* -2 (log 2)) (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(- (* -1/4 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))
(- (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(- (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(/ (pow x 2) (pow s 2))
(/ x (pow s 2))
(/ (exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))) s)
(exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s))))
(* -1/16 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))
(/ (exp (* -1 (/ x s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(exp (* -1 (/ x s)))
(exp (- (* -2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))
(* x (- (* -2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s)))
(* 1/8 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/8 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x)))))
(* (pow x 2) (- (+ (* 1/8 (/ 1 (pow s 2))) (/ (log 2) (pow x 2))) (/ 1/2 (* s x))))
(log (+ 1 (exp (* -1 (/ x s)))))
(/ (exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s)))))))) s)
(exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s))))))))
(exp (+ (* -2 (log (+ 1 (exp (* -1 (/ x s)))))) (* -1 (/ x s))))
(* -1 (* x (+ (* 2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (log 2) x)) (* 1/2 (/ 1 s))) x)) (* 1/8 (/ 1 (pow s 2)))))
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ (+ (* -2 (* s (log (+ 1 (exp (* -1 (/ x s))))))) (* -1 x)) s)
(/ (+ (* -1/2 (* s x)) (* 1/8 (pow x 2))) (pow s 2))
(/ (+ (* 1/8 (pow x 2)) (* s (+ (* -1/2 x) (* s (log 2))))) (pow s 2))
(/ -1/16 (pow s 2))
(/ 1/4 s)
(/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s)
(+ 1 (* -1 (/ (fabs x) s)))
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))
(/ (+ (exp (neg (* 2 (log 2)))) (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s)
(/ (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))))) s)
(/ (+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) (pow s 4))))) s)
(+ (exp (neg (* 2 (log 2)))) (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3)))))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) (pow s 4)))))
(/ (- (+ 1/4 (* -1/4 (/ x s))) (* -1/4 (/ (fabs x) s))) s)
(/ (- (+ 1/4 (+ (* -1/4 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* -1/4 x) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1/4 (/ (fabs x) s)) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/4 (/ x s)) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/4 x) (* -1/4 (fabs x)))) (pow s 2))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow x 2)) (+ (* -1 (* (fabs x) (- (* -1/4 x) (* -1/4 (fabs x))))) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 3))) (+ (* -1/4 (/ (fabs x) s)) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* -1/4 x) (* -1/4 (fabs x)))) (pow s 3))))))))) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1/4 (* 1/4 (/ (+ x (* -1 x)) s)))
(+ 1/4 (+ (* 1/4 (/ (+ x (* -1 x)) s)) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))) (pow s 2)))))
(+ 1/4 (+ (* 1/4 (/ (+ x (* -1 x)) s)) (+ (* 1/4 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/3 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) (pow s 3))) (* 1/4 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))) (pow s 2))))))
(+ (* -2 (log 2)) (+ (* -1 (/ x s)) (/ x s)))
(+ (* -2 (log 2)) (+ (* -1 (/ x s)) (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (/ x s))))
(+ (* -2 (log 2)) (+ (* -1 (/ x s)) (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (/ x s)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))
(- (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 2 (log 2)))
(- (* -1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(- (* -1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) (pow s 4))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2))))))
4
(+ 4 (* -4 (/ (fabs x) s)))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))
(+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))
(* 4 s)
(* s (+ 4 (* -4 (/ (fabs x) s))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs 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 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) s))
(* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))
(* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1 (/ (+ (* 1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* 1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3)))))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (* -1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))))) (pow s 3)))))
(* -1 (/ (- (* 1/4 (/ x s)) (+ 1/4 (* 1/4 (/ (fabs x) s)))) s))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/4 x) (* 1/4 (fabs x)))) (* 1/8 (/ (pow x 2) s))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (/ (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x)))) s))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* 1/4 x) (* 1/4 (fabs x)))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x))))))) (* 1/24 (/ (pow x 3) s))) (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/4 x) (* 1/4 (fabs x)))) s)) (/ (* (fabs x) (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x))))))) s)))) s))) s)) 1/4) 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)))
(+ 1/4 (* -1/4 (/ (+ x (* -1 x)) s)))
(+ 1/4 (* -1 (/ (+ (* -1/4 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))) s)) (* 1/4 (+ x (* -1 x)))) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/3 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) s)) (* 1/4 (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))))) s)) (* 1/4 (+ x (* -1 x)))) s)))
(+ (* -2 (log 2)) (* -1 (/ (+ x (* -1 x)) s)))
(+ (* -2 (log 2)) (* -1 (/ (+ x (+ (* -1 x) (+ (* -1/4 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))))) s)))
(+ (* -2 (log 2)) (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)))) s)))
(+ (log 2) (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))
(- (* 1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(- (* -1 (/ (- (* 1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) s)) (* 1/3 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
(+ (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)))

Outputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(/ (exp (neg (* 2 (log 2)))) s)
(/.f32 #s(literal 1/4 binary32) s)
(+ (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 3))) (/ (exp (neg (* 2 (log 2)))) s))
(fma.f32 (.f32 (.f32 x x) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/4 binary32) (/.f32 #s(literal 1/4 binary32) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 5))))) (/ (exp (neg (* 2 (log 2)))) s))
(fma.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/24 binary32) (/.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 7))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 5))))))) (/ (exp (neg (* 2 (log 2)))) s))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 7 binary32)))) #s(literal -17/2880 binary32) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 5 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
(exp (neg (* 2 (log 2))))
#s(literal 1/4 binary32)
(+ (exp (neg (* 2 (log 2)))) (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 2))))
(fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 (/.f32 (.f32 x x) s) #s(literal 1/4 binary32)) #s(literal 1/4 binary32))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 4))))))
(fma.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 4 binary32)))) #s(literal 1/24 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (.f32 x x) #s(literal 1/4 binary32))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 6))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 4))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 x x) (/.f32 #s(literal 1/4 binary32) (pow.f32 s #s(literal 6 binary32)))) #s(literal -17/2880 binary32) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32))
(* -1/16 (/ x (pow s 2)))
(.f32 (/.f32 x (.f32 s s)) #s(literal -1/16 binary32))
(/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(+ (* -1 (/ x (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
(fma.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 x (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(+ (* x (- (* 1/2 (/ x (* (pow s 3) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 x (pow.f32 s #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 s s)) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) x (/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(+ (* x (- (* x (+ (* -1/6 (/ x (* (pow s 4) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
(fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 4 binary32))) (/.f32 x (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) x) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) x (/.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #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 #s(literal 1/2 binary32) (/.f32 x (.f32 s s))) (/.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 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #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)
(+ 1/4 (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))))
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4
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(*.f32 #s(literal 4 binary32) s)
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(* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))
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(* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/4 x) (* 1/4 (fabs x)))) (* 1/8 (/ (pow x 2) s))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (/ (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x)))) s))) s)) 1/4) s))
(/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (-.f32 x (fabs.f32 x)) (/.f32 (-.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 x x) (.f32 (.f32 #s(literal -3 binary32) (.f32 x x)) #s(literal 1/16 binary32))) (.f32 (.f32 #s(literal 1/4 binary32) (-.f32 x (fabs.f32 x))) (fabs.f32 x))) s)) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* 1/4 x) (* 1/4 (fabs x)))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x))))))) (* 1/24 (/ (pow x 3) s))) (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/4 x) (* 1/4 (fabs x)))) s)) (/ (* (fabs x) (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* 1/4 x) (* 1/4 (fabs x))))))) s)))) s))) s)) 1/4) s))
(/.f32 (-.f32 (/.f32 (-.f32 (.f32 #s(literal -1/4 binary32) (-.f32 x (fabs.f32 x))) (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/24 binary32) (neg.f32 (-.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 x x) (.f32 (.f32 #s(literal -3 binary32) (.f32 x x)) #s(literal 1/16 binary32))) (.f32 (.f32 #s(literal 1/4 binary32) (-.f32 x (fabs.f32 x))) (fabs.f32 x))))) (fma.f32 (.f32 #s(literal 5/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s)) #s(literal 1/16 binary32) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 x x) (.f32 (.f32 #s(literal -3 binary32) (.f32 x x)) #s(literal 1/16 binary32))) (.f32 (.f32 #s(literal 1/4 binary32) (-.f32 x (fabs.f32 x))) (fabs.f32 x))) (fabs.f32 x) (.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/4 binary32) (-.f32 x (fabs.f32 x))) (.f32 #s(literal 3 binary32) (*.f32 x x))))) s))) s)) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x 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 #s(literal 1/2 binary32) (.f32 x x))) s)) s))
(+ 1/4 (* -1/4 (/ (+ x (* -1 x)) s)))
#s(literal 1/4 binary32)
(+ 1/4 (* -1 (/ (+ (* -1/4 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))) s)) (* 1/4 (+ x (* -1 x)))) s)))
(-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/4 binary32) #s(literal 0 binary32)) s) #s(literal -1/4 binary32) #s(literal 0 binary32)) s))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/3 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) s)) (* 1/4 (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/2 (pow (+ x (* -1 x)) 2))))) s)) (* 1/4 (+ x (* -1 x)))) s)))
(-.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/4 binary32) (-.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/4 binary32)) #s(literal 0 binary32) (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) #s(literal -1/3 binary32) #s(literal 0 binary32))) s) (fma.f32 (*.f32 x x) #s(literal -1/4 binary32) #s(literal 0 binary32)))) (neg.f32 s)) #s(literal 0 binary32)) s))
(+ (* -2 (log 2)) (* -1 (/ (+ x (* -1 x)) s)))
(fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) #s(literal 0 binary32))
(+ (* -2 (log 2)) (* -1 (/ (+ x (+ (* -1 x) (+ (* -1/4 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))))) s)))
(-.f32 (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal 1/4 binary32) #s(literal 0 binary32)) s))
(+ (* -2 (log 2)) (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)))) s)))
(-.f32 (.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) s) #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal -1/4 binary32))) s)) s))
(+ (log 2) (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) s) (.f32 #s(literal 1/2 binary32) x)) s))
(- (* 1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(-.f32 (/.f32 (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) #s(literal 1/3 binary32)) (pow.f32 s #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/4 binary32) s) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))
(- (* -1 (/ (- (* 1/12 (/ (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4)))))) s)) (* 1/3 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (pow s 3))) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))
(-.f32 (/.f32 (neg.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -7/4 binary32) (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 13/8 binary32))) s) #s(literal 1/12 binary32) (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) #s(literal -1/3 binary32)))) (pow.f32 s #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/4 binary32) s) (*.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (.f32 x x) s) (.f32 #s(literal 4 binary32) (fabs.f32 x))) s))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))
(-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (fma.f32 #s(literal -5/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) (.f32 #s(literal 3 binary32) (.f32 x x))) (neg.f32 s))) s))
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(.f32 (neg.f32 s) (-.f32 (.f32 #s(literal 4 binary32) (/.f32 (fabs.f32 x) s)) #s(literal 4 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) (neg.f32 s)) #s(literal 4 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (-.f32 (.f32 #s(literal -4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal -3 binary32) (.f32 x x) (.f32 #s(literal 5/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s))) s)) (neg.f32 s)) #s(literal 4 binary32)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32)) x)) s))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (fma.f32 (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) #s(literal 1/2 binary32))) (neg.f32 s))) s))

rewrite240.0ms (3.2%)

Memory

40.9MiB live, 181.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	473
0	108	455
1	356	445
2	2371	426
0	10085	414

Stop Event

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

Counts

29 → 536

Calls

Call 1

Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
(/.f32 (neg.f32 (fabs.f32 x)) s)
(neg.f32 (fabs.f32 x))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))) s)
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32)))
(fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))
(.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x)
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))))
(exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
(fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))
(fma.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))
(-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32))))
(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))
(log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32)))
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))))
(*.f32 x (/.f32 (/.f32 x s) s))
(/.f32 (/.f32 x s) s)

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

eval122.0ms (1.6%)

Memory: -3.1MiB live, 82.8MiB allocated; 21ms collecting garbage
Compiler: Compiled 35 988 to 3 495 computations (90.3% saved)

prune45.0ms (0.6%)

Memory

8.0MiB live, 54.6MiB allocated; 5ms collecting garbage

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	593	12	605
Fresh	4	16	20
Picked	3	2	5
Done	0	2	2
Total	600	32	632

Accuracy

99.6%

Counts

632 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
	94.3%	(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
	23.6%	(/.f32 (.f32 (exp.f32 (/.f32 x s)) (exp.f32 (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s)))))) s)
	73.3%	(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x s))) s)
	94.6%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 2 binary32) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	74.2%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(approx (* (- 2 (/ (+ (* -1/2 (/ (* x x) s)) (fabs x)) s)) s) (/.f32 (fma.f32 (neg.f32 s) (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	99.4%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)))
✓	94.3%	(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
✓	70.2%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
	67.4%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
	90.0%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x (.f32 (log.f32 #s(literal 2 binary32)) s)) s (.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 s s)))) #s(literal 2 binary32)))) s)
	77.8%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (/.f32 (fma.f32 (.f32 s x) #s(literal -1/2 binary32) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 s s)))) #s(literal 2 binary32)))) s)
	81.8%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (.f32 x x) s)))) #s(literal 2 binary32)))) s)
	66.6%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (*.f32 x x)))) #s(literal 2 binary32)))) s)
	96.4%	(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 x (/.f32 x s)) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))))) s)
	19.0%	(/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
	20.7%	(/.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) x) s))) #s(approx ( (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
	10.7%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
	22.5%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (*.f32 (/.f32 x s) #s(literal -1/16 binary32)) s) x #s(literal 1/4 binary32))) s)
	19.7%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (.f32 #s(literal -1/16 binary32) x) (.f32 s s)) x #s(literal 1/4 binary32))) s)
	73.3%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x s)))))) s)
✓	99.4%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
	93.1%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 #s(literal 1/8 binary32) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
	5.7%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
	79.9%	(/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 x s)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)))
	22.5%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal -1/16 binary32) s) (/.f32 #s(literal 1/4 binary32) s)))
	20.8%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal -3/16 binary32) s) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
	18.6%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) s)))
	17.8%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (/.f32 (.f32 #s(literal -3/16 binary32) x) (.f32 s s)) (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
	19.6%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) s (.f32 s #s(literal 1/4 binary32))) (*.f32 s s)))
✓	22.9%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
	65.8%	#s(approx (/ (exp (/ (neg x) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32))) s))

Compiler

Compiled 3 336 to 1 129 computations (66.2% saved)

regimes118.0ms (1.6%)

Memory

-30.6MiB live, 118.6MiB allocated; 21ms collecting garbage

Counts

58 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (.f32 #s(literal -1/16 binary32) x) (.f32 s s)) x #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (*.f32 (/.f32 x s) #s(literal -1/16 binary32)) s) x #s(literal 1/4 binary32))) s)
#s(approx (/ (exp (/ (neg x) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (+ (/ 1/4 s) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3))) (/.f32 (-.f32 (.f32 #s(literal 1/16 binary32) (.f32 (/.f32 x s) (/.f32 x s))) #s(literal 1/4 binary32)) (neg.f32 s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) (.f32 #s(literal 3/16 binary32) (.f32 x x))) (.f32 s s))) s))
(/.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) x) s))) #s(approx ( (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))) #s(approx ( (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal -1/16 binary32) s) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) s (.f32 s #s(literal 1/4 binary32))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (.f32 x x) s)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (/.f32 (fma.f32 (.f32 s x) #s(literal -1/2 binary32) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 s s)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (+.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32)) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (/.f32 (.f32 #s(literal -3/16 binary32) x) (.f32 s s)) (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (*.f32 x x)))) #s(literal 2 binary32)))) s)
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))) (.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s)) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 x (/.f32 x s)) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 2 binary32) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal -3/16 binary32) s) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 #s(literal 1/8 binary32) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x (.f32 (log.f32 #s(literal 2 binary32)) s)) s (.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 s s)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 #s(approx (log (+ 1 (exp (/ (neg x) 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)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(approx (* (- 2 (/ (+ (* -1/2 (/ (* x x) s)) (fabs x)) s)) s) (/.f32 (fma.f32 (neg.f32 s) (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x s))) s)
(/.f32 (exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)))
(/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 x s)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x s)))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (-.f32 (/.f32 x s) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x s)))))))) s)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
(*.f32 (/.f32 (exp.f32 (/.f32 x s)) (fma.f32 (exp.f32 (/.f32 x s)) s s)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (.f32 (exp.f32 (/.f32 x s)) (exp.f32 (.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s)))))) s)
(*.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (pow.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s) #s(literal 2 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s))

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

Calls

5 calls:

58.0ms	x
17.0ms	(neg.f32 (fabs.f32 x))
16.0ms	(fabs.f32 x)
14.0ms	s
10.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Results

Accuracy	Segments	Branch
99.4%	1	`(fabs.f32 x)`
99.4%	1	`(neg.f32 (fabs.f32 x))`
99.4%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
99.4%	1	`x`
99.4%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes93.0ms (1.2%)

Memory

15.3MiB live, 172.1MiB allocated; 30ms collecting garbage

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (.f32 #s(literal -1/16 binary32) x) (.f32 s s)) x #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (*.f32 (/.f32 x s) #s(literal -1/16 binary32)) s) x #s(literal 1/4 binary32))) s)
#s(approx (/ (exp (/ (neg x) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (+ (/ 1/4 s) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3))) (/.f32 (-.f32 (.f32 #s(literal 1/16 binary32) (.f32 (/.f32 x s) (/.f32 x s))) #s(literal 1/4 binary32)) (neg.f32 s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) (.f32 #s(literal 3/16 binary32) (.f32 x x))) (.f32 s s))) s))
(/.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) x) s))) #s(approx ( (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))) #s(approx ( (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal -1/16 binary32) s) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) s (.f32 s #s(literal 1/4 binary32))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (.f32 x x) s)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (/.f32 (fma.f32 (.f32 s x) #s(literal -1/2 binary32) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 s s)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (+.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32)) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (/.f32 (.f32 #s(literal -3/16 binary32) x) (.f32 s s)) (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (*.f32 x x)))) #s(literal 2 binary32)))) s)
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))) (.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s)) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 x (/.f32 x s)) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 2 binary32) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal -3/16 binary32) s) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 #s(literal 1/8 binary32) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x (.f32 (log.f32 #s(literal 2 binary32)) s)) s (.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 s s)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 #s(approx (log (+ 1 (exp (/ (neg x) 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)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(approx (* (- 2 (/ (+ (* -1/2 (/ (* x x) s)) (fabs x)) s)) s) (/.f32 (fma.f32 (neg.f32 s) (fabs.f32 x) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x s))) s)
(/.f32 (exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))) s)

Outputs

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

Calls

5 calls:

48.0ms	(neg.f32 (fabs.f32 x))
13.0ms	x
11.0ms	(fabs.f32 x)
11.0ms	s
8.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Results

Accuracy	Segments	Branch
96.4%	1	`(fabs.f32 x)`
96.4%	1	`(neg.f32 (fabs.f32 x))`
96.4%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
96.4%	1	`x`
96.4%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes55.0ms (0.7%)

Memory

-18.4MiB live, 123.2MiB allocated; 12ms collecting garbage

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (.f32 #s(literal -1/16 binary32) x) (.f32 s s)) x #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (*.f32 (/.f32 x s) #s(literal -1/16 binary32)) s) x #s(literal 1/4 binary32))) s)
#s(approx (/ (exp (/ (neg x) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (+ (/ 1/4 s) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3))) (/.f32 (-.f32 (.f32 #s(literal 1/16 binary32) (.f32 (/.f32 x s) (/.f32 x s))) #s(literal 1/4 binary32)) (neg.f32 s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) (.f32 #s(literal 3/16 binary32) (.f32 x x))) (.f32 s s))) s))
(/.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) x) s))) #s(approx ( (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))) #s(approx ( (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal -1/16 binary32) s) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) s (.f32 s #s(literal 1/4 binary32))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (.f32 x x) s)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (/.f32 (fma.f32 (.f32 s x) #s(literal -1/2 binary32) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 s s)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (+.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal 3 binary32) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32)) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (/.f32 (.f32 #s(literal -3/16 binary32) x) (.f32 s s)) (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (*.f32 x x)))) #s(literal 2 binary32)))) s)
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))) (.f32 #s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s) (fabs.f32 x)) s)) s)) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 #s(approx (exp (/ (neg x) s)) #s(literal 1 binary32))) #s(literal 2 binary32)))) s)

Outputs

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

Calls

5 calls:

17.0ms	s
11.0ms	(fabs.f32 x)
9.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
8.0ms	(neg.f32 (fabs.f32 x))
8.0ms	x

Results

Accuracy	Segments	Branch
95.7%	1	`(fabs.f32 x)`
95.7%	1	`(neg.f32 (fabs.f32 x))`
95.7%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
95.7%	1	`x`
95.7%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes36.0ms (0.5%)

Memory

35.1MiB live, 124.7MiB allocated; 7ms collecting garbage

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) x) x #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (.f32 #s(literal -1/16 binary32) x) (.f32 s s)) x #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (*.f32 x x) s) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (*.f32 (/.f32 x s) #s(literal -1/16 binary32)) s) x #s(literal 1/4 binary32))) s)
#s(approx (/ (exp (/ (neg x) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32))) s))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (+ (/ 1/4 s) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (pow s 3))) (/.f32 (-.f32 (.f32 #s(literal 1/16 binary32) (.f32 (/.f32 x s) (/.f32 x s))) #s(literal 1/4 binary32)) (neg.f32 s))))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) (.f32 #s(literal 3/16 binary32) (.f32 x x))) (.f32 s s))) s))
(/.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) x) s))) #s(approx ( (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 #s(approx (exp (/ (neg (fabs x)) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))) #s(approx ( (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 #s(literal -1/16 binary32) s) (/.f32 #s(literal 1/4 binary32) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (.f32 #s(literal -1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) s (.f32 s #s(literal 1/4 binary32))) (*.f32 s s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (pow.f32 s #s(literal 3 binary32)))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (.f32 x x) s)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(approx (+ ( (* x (/ (/ x s) s)) 1/8) (+ (* -1/2 (/ x s)) (log 2))) (/.f32 (fma.f32 (.f32 s x) #s(literal -1/2 binary32) (.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 s s)))) #s(literal 2 binary32)))) s)

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

Calls

5 calls:

11.0ms	x
7.0ms	(neg.f32 (fabs.f32 x))
6.0ms	(fabs.f32 x)
6.0ms	s
5.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Results

Accuracy	Segments	Branch
94.3%	1	`(fabs.f32 x)`
94.3%	1	`(neg.f32 (fabs.f32 x))`
94.3%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
94.3%	1	`x`
94.3%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes24.0ms (0.3%)

Memory

-36.3MiB live, 66.4MiB allocated; 5ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

6.0ms	(fabs.f32 x)
5.0ms	s
4.0ms	x
4.0ms	(neg.f32 (fabs.f32 x))
3.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Results

Accuracy	Segments	Branch
65.8%	1	`(fabs.f32 x)`
65.8%	1	`(neg.f32 (fabs.f32 x))`
65.8%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
65.8%	1	`x`
65.8%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes12.0ms (0.2%)

Memory

33.1MiB live, 33.1MiB allocated; 0ms collecting garbage

Accuracy

Total -6.3b remaining (-25.5%)

Threshold costs -6.3b (-25.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
22.9%	1	`(fabs.f32 x)`
22.9%	1	`x`
22.9%	1	`s`
22.9%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
22.9%	1	`(neg.f32 (fabs.f32 x))`

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify54.0ms (0.7%)

Memory

-15.4MiB live, 77.9MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	207
1	121	206
2	331	202
3	1235	202
4	7405	202

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations757.0ms (10.1%)

Memory

33.3MiB live, 680.2MiB allocated; 125ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	745	3771
1	2530	3070
0	8863	2888
0	228	929
1	775	788
2	3009	774
0	8218	729
0	11	66
0	19	66
1	69	52
2	481	45
3	5851	45
0	8523	44
0	567	2988
1	1924	2314
0	8688	2165
0	50	345
0	85	310
1	275	310
2	1756	255
0	9141	253

Stop Event

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

Compiler

Compiled 207 to 66 computations (68.1% saved)

preprocess38.0ms (0.5%)

Memory: -1.0MiB live, 90.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 530 to 196 computations (63% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze51.0ms (0.7%)

sample1.4s (18.8%)

explain177.0ms (2.4%)

preprocess182.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify130.0ms (1.7%)

localize31.0ms (0.4%)

series20.0ms (0.3%)

simplify203.0ms (2.7%)

rewrite219.0ms (2.9%)

eval108.0ms (1.4%)

prune20.0ms (0.3%)

simplify104.0ms (1.4%)

localize183.0ms (2.4%)

series173.0ms (2.3%)

simplify683.0ms (9.1%)

rewrite205.0ms (2.7%)

eval110.0ms (1.5%)

prune42.0ms (0.6%)

simplify123.0ms (1.6%)

localize582.0ms (7.8%)

series95.0ms (1.3%)

simplify141.0ms (1.9%)

rewrite164.0ms (2.2%)

eval76.0ms (1%)

prune29.0ms (0.4%)

simplify139.0ms (1.8%)

localize204.0ms (2.7%)

series91.0ms (1.2%)

simplify212.0ms (2.8%)

rewrite240.0ms (3.2%)

eval122.0ms (1.6%)

prune45.0ms (0.6%)

regimes118.0ms (1.6%)

regimes93.0ms (1.2%)

regimes55.0ms (0.7%)

regimes36.0ms (0.5%)

regimes24.0ms (0.3%)

regimes12.0ms (0.2%)

simplify54.0ms (0.7%)

derivations757.0ms (10.1%)

preprocess38.0ms (0.5%)

end0.0ms (0%)

Profiling