Metrics for Logistic distribution

start0.0ms (0%)

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

analyze93.0ms (1.1%)

Memory

9.7MiB live, 62.5MiB allocated; 72ms 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)

sample1.5s (17.3%)

Memory

73.0MiB live, 1 945.2MiB allocated; 429ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 809.0ms

ival-div: 141.0ms (17.4% of total)

ival-fabs: 127.0ms (15.7% of total)

const: 123.0ms (15.2% of total)

ival-mult: 104.0ms (12.9% of total)

ival-neg: 86.0ms (10.6% of total)

ival-exp: 81.0ms (10% of total)

ival-add: 64.0ms (7.9% of total)

ival-<=: 53.0ms (6.5% of total)

ival-and: 12.0ms (1.5% of total)

exact: 12.0ms (1.5% of total)

adjust: 3.0ms (0.4% of total)

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

Bogosity

explain226.0ms (2.6%)

Memory

-39.0MiB live, 150.2MiB allocated; 19ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
2	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	(0.060256507247686386 8.424786938121542e-5)	-	`(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	3
`/.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	2	0
↳	`(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))`	underflow	186

Confusion

	Predicted +	Predicted -
+	2	1
-	1	252

Precision

0.6666666666666666

Recall

0.6666666666666666

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	1	0
-	1	2	250

Precision?

0.5

Recall?

1.0

Freqs

test

number	freq
0	253
1	1
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 194 to 37 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 7.0ms (27.2% of total)

ival-mult: 6.0ms (23.3% of total)

ival-exp: 4.0ms (15.5% of total)

ival-fabs: 3.0ms (11.6% of total)

ival-add: 2.0ms (7.8% of total)

ival-neg: 2.0ms (7.8% 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)

preprocess184.0ms (2.1%)

Memory

20.0MiB live, 149.7MiB allocated; 17ms 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: 0.1MiB live, 0.1MiB 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
▶	99.5%	(/.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

▶

99.5%

(/.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)

simplify147.0ms (1.7%)

Memory

9.9MiB live, 126.0MiB allocated; 14ms 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)

localize51.0ms (0.6%)

Memory

-25.0MiB live, 21.9MiB allocated; 1ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
accuracy	0.0390625	(.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	0.04260504138909578	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy	0.12765104957206236	(/.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

43.0ms

256×

valid

Compiler

Compiled 84 to 13 computations (84.5% saved)

Precisions

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

ival-mult: 27.0ms (74.6% of total)

ival-div: 3.0ms (8.3% of total)

ival-exp: 2.0ms (5.5% of total)

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

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

ival-neg: 1.0ms (2.8% 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)

series19.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

6 → 39

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))))
(+.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))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(* 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))))))))
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 (* 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)))
(+ 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
5.0ms	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)))) (+ 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)))) (+ 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)))) (+ 1 (exp (/ (neg (fabs x)) s))))
2.0ms	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)))) (+ 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)))) (+ 1 (exp (/ (neg (fabs x)) s))))

simplify181.0ms (2.1%)

Memory

-8.9MiB live, 132.2MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	1035
1	781	877
2	3017	863
0	8228	814

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

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

rewrite173.0ms (2%)

Memory

-1.1MiB live, 193.1MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	74
0	19	74
1	69	60
2	481	52
3	5851	52
0	8523	51

Stop Event

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

Counts

6 → 522

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))))
(+.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))))
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(/.f32 (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))
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(fma.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 (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 (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 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 s)))
(fma.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 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s) (exp.f32 (/.f32 x s))))
(fma.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 (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 (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 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 s)))
(fma.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 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s) (exp.f32 (/.f32 x s))))
(fma.f32 (*.f32 (cosh.f32 (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.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 (cosh.f32 (/.f32 x s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.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 (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))))
(fma.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)))
(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))))
(fma.f32 (*.f32 (cosh.f32 (/.f32 x s)) s) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.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 (.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))))
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(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32)) (-.f32 (pow.f32 (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 x s)) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (neg.f32 (+.f32 (neg.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) #s(literal -1 binary32))) (neg.f32 (neg.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 (.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (*.f32 #s(literal 1 binary32) (+.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(literal 1 binary32) (+.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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #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 (expm1.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)) (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(literal 1 binary32)) (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(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 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) #s(literal 1 binary32)) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
(/.f32 (fma.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 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 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 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -4 binary32))) (*.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -6 binary32))) (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (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) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -9 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (expm1.f32 (.f32 #s(literal 3 binary32) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (+.f32 #s(literal -1 binary32) (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 (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 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))
(-.f32 (-.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))) (cosh.f32 (/.f32 x s)))
(-.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) (expm1.f32 (/.f32 (neg.f32 x) s))))
(-.f32 (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))
(-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(-.f32 (cosh.f32 (/.f32 x s)) (-.f32 (sinh.f32 (/.f32 x s)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (expm1.f32 (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 (neg.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 (neg.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (+.f32 (neg.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) #s(literal -1 binary32))) #s(literal -1 binary32)) (pow.f32 (neg.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32)) (/.f32 (neg.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (neg.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (neg.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (-.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 #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 (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (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 #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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 (neg.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.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 (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 (/.f32 #s(literal 1 binary32) (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 (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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 (neg.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)))
(fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3/2 binary32)) (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3/2 binary32)) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) 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)))) #s(literal 1 binary32) (*.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(literal 1 binary32)))
(fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (/.f32 (exp.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)))) (/.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 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)))
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) (*.f32 (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(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 (exp.f32 (/.f32 (neg.f32 x) s)) (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))) (/.f32 #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(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 (neg.f32 x) s)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))) (*.f32 #s(literal 1 binary32) (/.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(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)) (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) (*.f32 (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) (*.f32 #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 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))
(+.f32 (*.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 1 binary32)) (sinh.f32 (/.f32 (neg.f32 x) 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(literal 1 binary32)) (.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(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32))) (sinh.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))) (.f32 #s(literal 1 binary32) (/.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 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 x s)))
(+.f32 (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (cosh.f32 (/.f32 x s)))
(+.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 (neg.f32 x) 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)))) (/.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 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (neg.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)))
(+.f32 (cosh.f32 (/.f32 x s)) (*.f32 (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(+.f32 (cosh.f32 (/.f32 x s)) (*.f32 #s(literal 1 binary32) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(neg.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))

eval77.0ms (0.9%)

Memory: 23.7MiB live, 164.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 32 126 to 2 653 computations (91.7% saved)

prune18.0ms (0.2%)

Memory

5.5MiB live, 51.1MiB allocated; 3ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	786	12	798
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	787	12	799

Accuracy

99.6%

Counts

799 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) 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))))
▶	99.5%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
	95.3%	(/.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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
▶	94.3%	(/.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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
	95.1%	(/.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 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) 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)))
▶	93.9%	(/.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)))
▶	99.5%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) s)
	99.5%	(.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)))))
	99.5%	#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))))
	19.7%	#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))
▶	26.7%	#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 750 to 432 computations (42.4% saved)

simplify147.0ms (1.7%)

Memory

1.2MiB live, 186.7MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	365
0	66	365
1	128	365
2	419	359
3	2057	358
0	8038	355

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

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

localize75.0ms (0.9%)

Memory

7.0MiB live, 156.5MiB allocated; 17ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.04260504138909578	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.05432379138909578	(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))
accuracy	0.12374479957206237	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) s)
accuracy	0.0390625	(.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))
accuracy	0.04260504138909578	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy	0.12765104957206236	(/.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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
accuracy	18.496809089836496	#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
accuracy	0.0	(fabs.f32 x)
accuracy	0.04260504138909578	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy	0.12765104957206236	(/.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	19.312940284540417	#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	23.46615367004062	#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	0.0390625	(*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
accuracy	0.04260504138909578	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy	0.04260504138909578	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.12765104957206236	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Samples

52.0ms

256×

valid

Compiler

Compiled 362 to 30 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 10.0ms (28.9% of total)

ival-mult: 8.0ms (23.1% of total)

ival-exp: 5.0ms (14.4% of total)

ival-fabs: 3.0ms (8.7% of total)

ival-add: 2.0ms (5.8% of total)

ival-log1p: 2.0ms (5.8% of total)

ival-neg: 2.0ms (5.8% of total)

ival-sub: 1.0ms (2.9% 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)

series134.0ms (1.6%)

Memory

4.1MiB live, 236.8MiB allocated; 28ms collecting garbage

Counts

20 → 118

Calls

Call 1

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

Outputs
(* 1/2 (/ (exp (* -1 (/ (fabs x) s))) (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))))
(+ (* 1/4 (/ (* x (exp (* -1 (/ (fabs x) s)))) (* (pow s 2) (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* 1/2 (/ (exp (* -1 (/ (fabs x) s))) (* s (+ 1 (exp (* -1 (/ (fabs x) s))))))))
(+ (* 1/2 (/ (exp (* -1 (/ (fabs x) s))) (* s (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* x (- (* -1 (* x (+ (* -1/8 (/ (exp (* -1 (/ (fabs x) s))) (* (pow s 3) (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* 1/8 (/ (exp (* -1 (/ (fabs x) s))) (* (pow s 3) (+ 1 (exp (* -1 (/ (fabs x) s)))))))))) (* -1/4 (/ (exp (* -1 (/ (fabs x) s))) (* (pow s 2) (+ 1 (exp (* -1 (/ (fabs x) s))))))))))
(+ (* 1/2 (/ (exp (* -1 (/ (fabs x) s))) (* s (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (exp (* -1 (/ (fabs x) s))) (* (pow s 4) (+ 1 (exp (* -1 (/ (fabs x) s))))))) (+ (* 1/16 (/ (exp (* -1 (/ (fabs x) s))) (* (pow s 4) (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* 1/2 (/ (+ (* -1/8 (/ (exp (* -1 (/ (fabs x) s))) (* (pow s 3) (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* 1/8 (/ (exp (* -1 (/ (fabs x) s))) (* (pow s 3) (+ 1 (exp (* -1 (/ (fabs x) s)))))))) s)))))) (+ (* -1/8 (/ (exp (* -1 (/ (fabs x) s))) (* (pow s 3) (+ 1 (exp (* -1 (/ (fabs x) s))))))) (* 1/8 (/ (exp (* -1 (/ (fabs x) s))) (* (pow s 3) (+ 1 (exp (* -1 (/ (fabs x) s)))))))))) (* -1/4 (/ (exp (* -1 (/ (fabs x) s))) (* (pow s 2) (+ 1 (exp (* -1 (/ (fabs x) s))))))))))
(exp (* -1 (/ (fabs x) s)))
(* -1 (/ (fabs x) s))
(* -1 (fabs x))
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
(* -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))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* 2 (* s (+ 1 (exp (* -1 (/ (fabs x) s))))))
(+ (* -1 (* x (+ 1 (exp (* -1 (/ (fabs x) s)))))) (* 2 (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))))
(+ (* 2 (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))) (* x (+ (* -1 (+ 1 (exp (* -1 (/ (fabs x) s))))) (* 1/2 (/ (* x (+ 1 (exp (* -1 (/ (fabs x) s))))) s)))))
(+ (* 2 (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))) (* x (+ (* -1 (+ 1 (exp (* -1 (/ (fabs x) s))))) (* x (+ (* -1/6 (/ (* x (+ 1 (exp (* -1 (/ (fabs x) s))))) (pow s 2))) (* 1/2 (/ (+ 1 (exp (* -1 (/ (fabs x) s)))) s)))))))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(fabs x)
(+ 1 (exp (* -1 (/ (fabs x) 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)))))
(/ (exp (* -1 (/ (fabs x) s))) (* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ 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)))
(* (+ 1 (exp (* -1 (/ (fabs x) s)))) (+ s (* s (exp (* -1 (/ x s))))))
(log (+ 1 (exp (* -1 (/ x s)))))
(* -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))))))))
(/ (exp (* -1 (/ (fabs x) s))) (* s (* (+ 1 (exp (* -1 (/ x s)))) (+ 1 (exp (* -1 (/ (fabs x) s)))))))
(/ 1/4 s)
(/ (+ (* -2 (* s (log (+ 1 (exp (* -1 (/ x s))))))) (* -1 x)) s)
(* s (* (+ 1 (exp (* -1 (/ x s)))) (+ 1 (exp (* -1 (/ (fabs x) s))))))
(/ (- (+ 1/4 (* -1/4 (/ (fabs x) s))) (* 1/16 (/ (+ (* -2 x) (* -2 (fabs x))) s))) s)
(/ (- (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* 1/16 (/ (+ (* -2 x) (* -2 (fabs x))) s)) (+ (* 1/16 (/ (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2))) (pow s 2))) (* 1/4 (/ (* (+ (* -2 x) (* -2 (fabs x))) (- (* -1/4 (fabs x)) (* 1/16 (+ (* -2 x) (* -2 (fabs x)))))) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* 1/16 (/ (+ (* -2 x) (* -2 (fabs x))) s)) (+ (* 1/16 (/ (+ (* -1/2 (* x (pow (fabs x) 2))) (+ (* -1/2 (* (pow x 2) (fabs x))) (+ (* -1/3 (pow x 3)) (* -1/3 (pow (fabs x) 3))))) (pow s 3))) (+ (* 1/16 (/ (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2))) (pow s 2))) (+ (* 1/4 (/ (* (+ (* -2 x) (* -2 (fabs x))) (- (* -1/4 (fabs x)) (* 1/16 (+ (* -2 x) (* -2 (fabs x)))))) (pow s 2))) (+ (* 1/4 (/ (* (+ (* -2 x) (* -2 (fabs x))) (- (* 1/8 (pow (fabs x) 2)) (+ (* 1/16 (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2)))) (* 1/4 (* (+ (* -2 x) (* -2 (fabs x))) (- (* -1/4 (fabs x)) (* 1/16 (+ (* -2 x) (* -2 (fabs x)))))))))) (pow s 3))) (* 1/4 (/ (* (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2))) (- (* -1/4 (fabs x)) (* 1/16 (+ (* -2 x) (* -2 (fabs x)))))) (pow s 3))))))))) 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))))))
(/ (- (+ 1/4 (* 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)
(* 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 (/ (+ (* -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 (+ (* -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))))))
(* 4 s)
(* s (+ 4 (+ (* -2 (/ x s)) (* -2 (/ (fabs x) s)))))
(* s (+ 4 (+ (* -2 (/ x s)) (+ (* -2 (/ (fabs x) s)) (+ (/ (* x (fabs x)) (pow s 2)) (+ (/ (pow x 2) (pow s 2)) (/ (pow (fabs x) 2) (pow s 2))))))))
(* s (+ 4 (+ (* -2 (/ x s)) (+ (* -2 (/ (fabs x) s)) (+ (* -1/2 (/ (* x (pow (fabs x) 2)) (pow s 3))) (+ (* -1/2 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/3 (/ (pow x 3) (pow s 3))) (+ (* -1/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (* x (fabs x)) (pow s 2)) (+ (/ (pow x 2) (pow s 2)) (/ (pow (fabs x) 2) (pow s 2))))))))))))
(* 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
(+ 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))))))
(+ (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 (/ (- (* -1/4 (fabs x)) (* 1/16 (+ (* -2 x) (* -2 (fabs x))))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/8 (pow (fabs x) 2)) (+ (* -1/4 (* (+ (* -2 x) (* -2 (fabs x))) (- (* -1/4 (fabs x)) (* 1/16 (+ (* -2 x) (* -2 (fabs x))))))) (* 1/16 (+ (* -1 (* x (fabs x))) (+ (* -1 (pow x 2)) (* -1 (pow (fabs x) 2))))))) s)) (* -1/4 (fabs x))) (* 1/16 (+ (* -2 x) (* -2 (fabs x))))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/24 (pow (fabs x) 3)) (+ (* -1/4 (* (+ (* -2 x) (* -2 (fabs x))) (- (* -1/8 (pow (fabs x) 2)) (+ (* -1/4 (* (+ (* -2 x) (* -2 (fabs x))) (- (* -1/4 (fabs x)) (* 1/16 (+ (* -2 x) (* -2 (fabs x))))))) (* 1/16 (+ (* -1 (* x (fabs x))) (+ (* -1 (pow x 2)) (* -1 (pow (fabs x) 2))))))))) (+ (* -1/4 (* (+ (* -1 (* x (fabs x))) (+ (* -1 (pow x 2)) (* -1 (pow (fabs x) 2)))) (- (* -1/4 (fabs x)) (* 1/16 (+ (* -2 x) (* -2 (fabs x))))))) (* 1/16 (+ (* -1/2 (* x (pow (fabs x) 2))) (+ (* -1/2 (* (pow x 2) (fabs x))) (+ (* -1/3 (pow x 3)) (* -1/3 (pow (fabs x) 3))))))))) s)) (* -1/8 (pow (fabs x) 2))) (+ (* -1/4 (* (+ (* -2 x) (* -2 (fabs x))) (- (* -1/4 (fabs x)) (* 1/16 (+ (* -2 x) (* -2 (fabs x))))))) (* 1/16 (+ (* -1 (* x (fabs x))) (+ (* -1 (pow x 2)) (* -1 (pow (fabs x) 2))))))) s)) (* -1/4 (fabs x))) (* 1/16 (+ (* -2 x) (* -2 (fabs x))))) s)) 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 (/ (- (* 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 (* 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)))
(- (* 1/3 (/ (+ (* -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 (/ (+ 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 (* s (- (* -1 (/ (+ (* -2 x) (* -2 (fabs x))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -2 x) (+ (* -2 (fabs x)) (* -1 (/ (+ (* -1 (* x (fabs x))) (+ (* -1 (pow x 2)) (* -1 (pow (fabs x) 2)))) s)))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -2 x) (+ (* -2 (fabs x)) (* -1 (/ (+ (* -1 (* x (fabs x))) (+ (* -1 (/ (+ (* -1/2 (* x (pow (fabs x) 2))) (+ (* -1/2 (* (pow x 2) (fabs x))) (+ (* -1/3 (pow x 3)) (* -1/3 (pow (fabs x) 3))))) s)) (+ (* -1 (pow x 2)) (* -1 (pow (fabs x) 2))))) s)))) s)) 4)))
(* -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)))
(+ 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)))
(+ (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
40.0ms	x	@	inf	((/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg x) s)) s) 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))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* 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))))) (- (/ (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 x) s)) (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (log (+ 1 (exp (/ (neg x) s)))))
27.0ms	s	@	-inf	((/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg x) s)) s) 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))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* 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))))) (- (/ (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 x) s)) (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (log (+ 1 (exp (/ (neg x) s)))))
24.0ms	s	@	0	((/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg x) s)) s) 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))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* 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))))) (- (/ (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 x) s)) (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (log (+ 1 (exp (/ (neg x) s)))))
20.0ms	x	@	-inf	((/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg x) s)) s) 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))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* 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))))) (- (/ (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 x) s)) (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (log (+ 1 (exp (/ (neg x) s)))))
12.0ms	x	@	0	((/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg x) s)) s) 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))))) (/ 1/4 s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* 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))))) (- (/ (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 x) s)) (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (log (+ 1 (exp (/ (neg x) s)))))

simplify152.0ms (1.8%)

Memory

-27.8MiB live, 205.6MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	728	3942
1	2563	3186
0	8687	2998

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 118

Calls

Call 1

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

rewrite192.0ms (2.2%)

Memory

58.5MiB live, 348.7MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	270
0	66	280
1	196	259
2	1376	215
0	9252	210

Stop Event

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

Counts

20 → 631

Calls

Call 1

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

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

eval274.0ms (3.2%)

Memory: 16.4MiB live, 281.4MiB allocated; 76ms collecting garbage
Compiler: Compiled 46 465 to 3 383 computations (92.7% saved)

prune94.0ms (1.1%)

Memory

-9.2MiB live, 92.6MiB allocated; 22ms collecting garbage

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	934	17	951
Fresh	3	4	7
Picked	4	1	5
Done	0	0	0
Total	941	22	963

Accuracy

99.6%

Counts

963 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.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) (exp.f32 (/.f32 (neg.f32 x) s))))
▶	94.3%	(/.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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
	93.9%	(/.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)))
▶	21.3%	(/.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.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)))
	99.5%	(/.f32 (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 (exp.f32 (/.f32 (.f32 (sqrt.f32 x) (neg.f32 (sqrt.f32 x))) s)) (.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
	93.9%	(/.f32 (exp.f32 (/.f32 (.f32 (sqrt.f32 x) (neg.f32 (sqrt.f32 x))) s)) #s(approx ( (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))
▶	99.5%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
	95.3%	(/.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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)))))
	95.3%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) s (neg.f32 x)))))
	95.1%	(/.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 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) 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)) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s)))
	93.9%	(/.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)))
	99.5%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)))) s)
	91.2%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.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)))) #s(literal 2 binary32)))) s)
	94.8%	(/.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 (.f32 x x) s) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))))) s)
▶	25.9%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) s) #s(literal 1/4 binary32))) s)
	94.3%	(.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) (.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))
▶	99.5%	(*.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 (neg.f32 x) s))))
	99.5%	#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))))
✓	26.7%	#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 1 276 to 810 computations (36.5% saved)

simplify226.0ms (2.6%)

Memory

-14.7MiB live, 236.2MiB allocated; 122ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	432
0	99	422
1	200	415
2	626	400
3	3122	399
0	8939	396

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

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

localize776.0ms (9%)

Memory

58.5MiB live, 2 207.0MiB allocated; 82ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.04260504138909578	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.05432379138909578	(exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 (neg.f32 x) s)))
accuracy	0.14718229957206236	(*.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 (neg.f32 x) s))))
accuracy	0.046368612185872675	(exp.f32 (/.f32 x s))
accuracy	0.0625	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
accuracy	0.12765104957206236	(/.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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
accuracy	2.235090218239351	#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
accuracy	0.06589986218587268	(sinh.f32 (/.f32 x s))
accuracy	0.12765104957206236	(/.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.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)))
accuracy	1.1449852540060543	(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))
accuracy	2.3445651998506767	#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))
accuracy	0.020195019536884032	(fma.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) s) #s(literal 1/4 binary32))
accuracy	0.12374479957206237	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) s) #s(literal 1/4 binary32))) s)
accuracy	1.6345250799131625	#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) s) #s(literal 1/4 binary32)))
accuracy	2.904077528184529	(/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) s)
accuracy	0.0390625	(*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy	0.04260504138909578	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy	0.04260504138909578	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.12765104957206236	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))

Samples

500.0ms	16×	5	exit
135.0ms	165×	0	exit
62.0ms	67×	0	valid
7.0ms	8×	1	valid

Compiler

Compiled 413 to 50 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 675.0ms

ival-sinh: 176.0ms (26.1% of total)

ival-exp: 103.0ms (15.3% of total)

ival-cosh: 96.0ms (14.2% of total)

ival-div: 92.0ms (13.6% of total)

adjust: 72.0ms (10.7% of total)

ival-mult: 64.0ms (9.5% of total)

ival-sub: 46.0ms (6.8% of total)

ival-add: 16.0ms (2.4% of total)

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

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

ival-log1p: 3.0ms (0.4% of total)

exact: 1.0ms (0.1% of total)

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

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

series105.0ms (1.2%)

Memory

-3.1MiB live, 382.0MiB allocated; 27ms collecting garbage

Counts

26 → 197

Calls

Call 1

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

Outputs
(* 4 s)
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(exp (* -1 (/ (fabs x) s)))
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1/4
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(exp (neg (* 2 (log 2))))
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1
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(/ x s)
(* s (+ 1 (exp (* -1 (/ (fabs x) s)))))
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(/ -1/4 s)
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(* 2 s)
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(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(* 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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(* 1/2 (/ (- x (* -1 x)) s))
(/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))) s)
(/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s)
(/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 3))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s)
2
(+ 2 (* -1 (/ (fabs x) s)))
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (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)))))
(+ (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 (* s (- (* 4 (/ x s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) s))) s)) 4)))
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(+ 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)))))
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(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (pow x 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))
(* -1 (/ (- (* -1/8 (/ (- (* -1 x) x) s)) (+ 1/4 (* 1/4 (/ (fabs x) s)))) s))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (/ (* (fabs x) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) s))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x))))))) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s))) (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) s)) (/ (* (fabs x) (- (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x))))))) s)))) s))) s)) 1/4) s))
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
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(* -1 (* s (- (/ (fabs x) s) 2)))
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(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow x 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (* (pow x 2) (fabs x))) (pow (fabs x) 3)))))))) s)) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s))
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(* -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 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) s))) s)) (* -1/4 (+ x (* -1 x)))) s)) 1/4) s))
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(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
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(* -1/2 (/ (- (* -1 x) x) s))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) s)) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))
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(+ (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
18.0ms	x	@	inf	((* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 1/4) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ -1/4 s) (- (cosh (/ x s)) (sinh (/ x s))) (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (cosh (/ x s)) (/ x s) (/ 1 (exp (/ x s))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ x s)) (* (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)))) (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s))) (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (exp (/ (neg x) s)) (/ (* 1/4 (* x x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (sinh (/ x s)) (+ 1 (exp (/ (neg (fabs x)) s))) (log (+ 1 (exp (/ (neg x) s)))))
18.0ms	x	@	-inf	((* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 1/4) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ -1/4 s) (- (cosh (/ x s)) (sinh (/ x s))) (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (cosh (/ x s)) (/ x s) (/ 1 (exp (/ x s))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ x s)) (* (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)))) (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s))) (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (exp (/ (neg x) s)) (/ (* 1/4 (* x x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (sinh (/ x s)) (+ 1 (exp (/ (neg (fabs x)) s))) (log (+ 1 (exp (/ (neg x) s)))))
16.0ms	s	@	0	((* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 1/4) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ -1/4 s) (- (cosh (/ x s)) (sinh (/ x s))) (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (cosh (/ x s)) (/ x s) (/ 1 (exp (/ x s))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ x s)) (* (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)))) (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s))) (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (exp (/ (neg x) s)) (/ (* 1/4 (* x x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (sinh (/ x s)) (+ 1 (exp (/ (neg (fabs x)) s))) (log (+ 1 (exp (/ (neg x) s)))))
13.0ms	s	@	inf	((* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 1/4) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ -1/4 s) (- (cosh (/ x s)) (sinh (/ x s))) (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (cosh (/ x s)) (/ x s) (/ 1 (exp (/ x s))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ x s)) (* (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)))) (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s))) (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (exp (/ (neg x) s)) (/ (* 1/4 (* x x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (sinh (/ x s)) (+ 1 (exp (/ (neg (fabs x)) s))) (log (+ 1 (exp (/ (neg x) s)))))
12.0ms	s	@	-inf	((* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (/ (exp (/ (neg (fabs x)) s)) (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 1/4) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ -1/4 s) (- (cosh (/ x s)) (sinh (/ x s))) (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (cosh (/ x s)) (/ x s) (/ 1 (exp (/ x s))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ x s)) (* (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)))) (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s))) (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (exp (/ (neg x) s)) (/ (* 1/4 (* x x)) s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (sinh (/ x s)) (+ 1 (exp (/ (neg (fabs x)) s))) (log (+ 1 (exp (/ (neg x) s)))))

simplify242.0ms (2.8%)

Memory

-0.9MiB live, 525.8MiB allocated; 107ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1185	5927
1	4269	5560
0	8951	5190

Stop Event

1×	iter limit
1×	node limit

Counts

197 → 197

Calls

Call 1

Inputs
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1
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(/ (+ 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 (+ (* -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)))))) s)
(+ 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 (+ (* -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))))))
(* 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))))))))
(* 1/2 (/ (- x (* -1 x)) s))
(/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))) s)
(/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s)
(/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 3))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s)
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))))))
(+ (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 (* s (- (* 4 (/ x s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) s))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) s)) (* -1 (pow x 2)))) s))) s)) 4)))
(* -1 (/ (- (* -1 (/ (- (* -1/4 (fabs x)) (* -1/4 x)) s)) 1/4) s))
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(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/24 (pow (fabs x) 3)) (+ (* -1/4 (* (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (- (* -1/4 (fabs x)) (* -1/4 x)))) (+ (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3)))) (* x (- (* -1/8 (pow (fabs x) 2)) (+ (* 1/16 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* x (- (* -1/4 (fabs x)) (* -1/4 x))))))))) s)) (* -1/8 (pow (fabs x) 2))) (+ (* 1/16 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* x (- (* -1/4 (fabs x)) (* -1/4 x))))) s)) (* -1/4 (fabs x))) (* -1/4 x)) s)) 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 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (pow x 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))
(* -1 (/ (- (* -1/8 (/ (- (* -1 x) x) s)) (+ 1/4 (* 1/4 (/ (fabs x) s)))) s))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (/ (* (fabs x) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) s))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x))))))) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s))) (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x)))) s)) (/ (* (fabs x) (- (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (* (fabs x) (- (* -1/8 (- (* -1 x) x)) (* 1/4 (fabs x))))))) s)))) s))) s)) 1/4) s))
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(* -1 (* 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 (/ (- (* -1/16 (/ (+ (* -4 x) (* 4 (fabs x))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow x 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (* (pow x 2) (fabs x))) (pow (fabs x) 3)))))))) s)) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) 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)))
(* -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 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) s))) s)) (* -1/4 (+ x (* -1 x)))) s)) 1/4) 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)))
(+ 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 (* 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)))
(* -1/2 (/ (- (* -1 x) x) s))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) s)) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))
(+ 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)))
(+ (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
(* 4 s)
(*.f32 #s(literal 4 binary32) s)
(+ (* -4 x) (* 4 s))
(fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) s))
(+ (* 4 s) (* x (- (* 3 (/ x s)) 4)))
(fma.f32 (-.f32 (.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 4 binary32)) x (.f32 #s(literal 4 binary32) s))
(+ (* 4 s) (* x (- (* x (+ (* -5/3 (/ x (pow s 2))) (* 3 (/ 1 s)))) 4)))
(fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 x (.f32 s s)) #s(literal -5/3 binary32) (/.f32 #s(literal 3 binary32) s)) x) #s(literal 4 binary32)) x (*.f32 #s(literal 4 binary32) s))
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))
(*.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) #s(literal 1/4 binary32))
(+ (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) (* 1/4 (/ (* x (exp (* -1 (/ (fabs x) s)))) (pow s 2))))
(.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (.f32 x (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s s)))))
(+ (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) (* x (- (* -1 (* x (+ (* -1/4 (/ (exp (* -1 (/ (fabs x) s))) (pow s 3))) (* 3/16 (/ (exp (* -1 (/ (fabs x) s))) (pow s 3)))))) (* -1/4 (/ (exp (* -1 (/ (fabs x) s))) (pow s 2))))))
(fma.f32 (fma.f32 (neg.f32 x) (.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/16 binary32)) (.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (.f32 s s)))) x (.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) #s(literal 1/4 binary32)))
(+ (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) (* x (- (* x (- (* -1 (* x (+ (* -1/4 (/ (exp (* -1 (/ (fabs x) s))) (pow s 4))) (+ (* -5/48 (/ (exp (* -1 (/ (fabs x) s))) (pow s 4))) (* 3/8 (/ (exp (* -1 (/ (fabs x) s))) (pow s 4))))))) (+ (* -1/4 (/ (exp (* -1 (/ (fabs x) s))) (pow s 3))) (* 3/16 (/ (exp (* -1 (/ (fabs x) s))) (pow s 3)))))) (* -1/4 (/ (exp (* -1 (/ (fabs x) s))) (pow s 2))))))
(fma.f32 (fma.f32 (-.f32 (.f32 (neg.f32 x) (fma.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (pow.f32 s #s(literal 4 binary32))) #s(literal 13/48 binary32) (.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (pow.f32 s #s(literal 4 binary32))) #s(literal -1/4 binary32)))) (.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/16 binary32))) x (.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (.f32 s s)))) x (.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) #s(literal 1/4 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))
1/4
#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))
(/ (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))
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(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/4 binary32))) s) #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 0 binary32) x) #s(literal -1/4 binary32))) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 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 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) s))) s)) (* -1/4 (+ x (* -1 x)))) s)) 1/4) s))
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 #s(literal 0 binary32) x) #s(literal -1/4 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/4 binary32)) (.f32 #s(literal 0 binary32) x) (fma.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/3 binary32) (.f32 (.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32)))) s) #s(literal 1/4 binary32) (.f32 (fma.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/4 binary32))) #s(literal -1/4 binary32))) (neg.f32 s))) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s))
(+ 1/4 (* -1/4 (/ (+ x (* -1 x)) s)))
(fma.f32 (*.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal -1/4 binary32) #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)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/4 binary32))) s) #s(literal -1/4 binary32) (.f32 (.f32 #s(literal 0 binary32) x) #s(literal 1/4 binary32))) s) #s(literal -1 binary32) #s(literal 1/4 binary32))
(+ 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)))
(fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 0 binary32) x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/4 binary32)) (.f32 #s(literal 0 binary32) x) (fma.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/3 binary32) (.f32 (.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32)))) s) #s(literal -1/4 binary32) (.f32 (fma.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/4 binary32))) #s(literal 1/4 binary32))) (neg.f32 s))) s) #s(literal -1 binary32) #s(literal 1/4 binary32))
(+ (* -2 (log 2)) (* -1 (/ (+ x (* -1 x)) s)))
(fma.f32 #s(literal 0 binary32) (/.f32 x s) (*.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32))))
(+ (* -2 (log 2)) (* -1 (/ (+ x (+ (* -1 x) (+ (* -1/4 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))))) s)))
(fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 0 binary32) x (.f32 (/.f32 (.f32 x x) s) #s(literal 1/4 binary32))) (neg.f32 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)))
(fma.f32 #s(literal -2 binary32) (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 0 binary32) x (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal -1/4 binary32))) (neg.f32 s))) (neg.f32 s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(fma.f32 (/.f32 (fma.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))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32))
(* -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 (fma.f32 #s(literal 3 binary32) (/.f32 (.f32 x x) s) (*.f32 #s(literal -4 binary32) (fabs.f32 x))) (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 (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))) (neg.f32 s)) #s(literal 4 binary32)))
(* -1/2 (/ (- (* -1 x) x) s))
(*.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/2 binary32))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s))
(/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32) (.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) (.f32 #s(literal -1/2 binary32) (.f32 x x))) s) #s(literal -1/2 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))
(/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32)) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) x (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32)))) s) #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) (.f32 #s(literal -1/2 binary32) (.f32 x x))) #s(literal 1/2 binary32))) (neg.f32 s))) (neg.f32 s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) s)) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))
(/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) (.f32 #s(literal -1/2 binary32) (.f32 x x))) #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/24 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 #s(literal 1/2 binary32) (.f32 x x)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/8 binary32) (.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/3 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) x)) x)))) s) #s(literal -1/2 binary32) (.f32 (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32)) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32)))) #s(literal 1/2 binary32))) (neg.f32 s))) (neg.f32 s))) (neg.f32 s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(fma.f32 (/.f32 (fma.f32 (/.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(literal -1 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(fma.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) #s(literal 1/4 binary32)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 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))) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))

rewrite108.0ms (1.3%)

Memory

12.7MiB live, 344.9MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	318
0	99	308
1	319	287
0	2282	285

Stop Event

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

Counts

26 → 343

Calls

Call 1

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

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

eval479.0ms (5.6%)

Memory: -180.6MiB live, 443.8MiB allocated; 936ms collecting garbage
Compiler: Compiled 22 015 to 2 436 computations (88.9% saved)

prune45.0ms (0.5%)

Memory

28.9MiB live, 220.4MiB allocated; 24ms collecting garbage

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	511	12	523
Fresh	12	4	16
Picked	4	1	5
Done	0	1	1
Total	527	18	545

Accuracy

99.7%

Counts

545 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.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) (exp.f32 (/.f32 (neg.f32 x) s))))
	81.4%	(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (.f32 x x) s) (/.f32 x s))) #s(literal 1 binary32)))) (.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
	99.5%	(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))) s)
	90.9%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 x (.f32 s s)) #s(literal -5/3 binary32) (/.f32 #s(literal 3 binary32) s)) x) #s(literal 4 binary32)) x (*.f32 #s(literal 4 binary32) s))))
	96.4%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 4 binary32)) x (.f32 #s(literal 4 binary32) s))))
	95.1%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (*.f32 (fma.f32 (/.f32 x s) #s(literal -4 binary32) #s(literal 4 binary32)) 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)))
▶	94.8%	(/.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 (.f32 x x) s) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))))) s)
	26.4%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 (.f32 x (/.f32 x s)) #s(literal 1/4 binary32)) #s(literal 1/4 binary32))) s)
	20.4%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))) s)
▶	4.9%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
✓	99.5%	(*.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 (neg.f32 x) s))))
	99.4%	(.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) s) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 x)) s))))
▶	80.4%	(.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) s))))
	97.4%	(.f32 (exp.f32 (.f32 (log.f32 s) #s(literal -1 binary32))) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 (neg.f32 x) s))))
▶	99.4%	#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 s (exp.f32 (/.f32 x s))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
	68.6%	#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) s))
✓	26.7%	#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 1 145 to 734 computations (35.9% saved)

simplify207.0ms (2.4%)

Memory

-22.0MiB live, 605.3MiB allocated; 60ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	529
0	108	521
1	219	509
2	611	504
3	2802	502
0	8238	479

Stop Event

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

Calls

Call 1

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

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

localize157.0ms (1.8%)

Memory

-8.1MiB live, 808.2MiB allocated; 26ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.046368612185872675	(exp.f32 (/.f32 x s))
accuracy	0.05078125	(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))
accuracy	0.05859375	(*.f32 s (exp.f32 (/.f32 x s)))
accuracy	0.12765104957206236	(/.f32 #s(literal 1 binary32) (.f32 (.f32 s (exp.f32 (/.f32 x s))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
accuracy	0.11328125	(fma.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 (.f32 x x) s) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
accuracy	0.12374479957206237	(/.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 (.f32 x x) s) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))))) s)
accuracy	3.501233074481788	(/.f32 (*.f32 x x) s)
accuracy	15.035551205677349	#s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 (.f32 x x) s) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))))
accuracy	0.0	(neg.f32 x)
accuracy	0.05432379138909578	(exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) s)))
accuracy	0.14718229957206236	(.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) s))))
accuracy	7.017720451583158	#s(approx (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) s))
accuracy	1.2140263810669645	(.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s))
accuracy	3.501233074481788	(/.f32 (*.f32 x x) s)
accuracy	8.126472707234203	#s(approx (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))
accuracy	23.47170672323266	#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s))))
accuracy	0.02734375	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.03515625	(/.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) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy	0.04260504138909578	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.12765104957206236	(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s))

Samples

120.0ms

256×

valid

Compiler

Compiled 400 to 60 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-div: 31.0ms (31% of total)

ival-mult: 23.0ms (23% of total)

ival-exp: 15.0ms (15% of total)

ival-add: 14.0ms (14% of total)

ival-neg: 6.0ms (6% of total)

ival-log: 3.0ms (3% of total)

ival-pow2: 3.0ms (3% of total)

ival-log1p: 2.0ms (2% of total)

ival-fabs: 1.0ms (1% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series62.0ms (0.7%)

Memory

12.5MiB live, 155.3MiB allocated; 8ms collecting garbage

Counts

25 → 166

Calls

Call 1

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

Outputs
(/ 1/4 s)
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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) (+ (* 1/96 (/ 1 (pow s 5))) (* x (- (* 1/96 (/ 1 (pow s 6))) (* 1/96 (/ 1 (pow s 6))))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))
(/ 1/2 s)
(+ (* -1/4 (/ x (pow s 2))) (* 1/2 (/ 1 s)))
(+ (* x (- (* 1/48 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))
(+ (* x (- (* (pow x 2) (+ (* -1/480 (/ (pow x 2) (pow s 6))) (* 1/48 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (/ x s))
(/ (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 (/ (pow x 2) (pow s 2)))
(+ (* (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)))
(+ 1/4 (* (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))))))
(- (* -1/4 (/ (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 (* 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))))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(+ (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(+ (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (* x (+ (* 1/2 (/ (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
(+ (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (* x (+ (* x (+ (* 1/6 (/ (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (pow s 2))) (* 1/2 (/ (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) s)))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
s
(+ s x)
(+ s (* x (+ 1 (* 1/2 (/ x s)))))
(+ s (* x (+ 1 (* x (+ (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ (pow x 2) s)
(* -1 x)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(+ 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 (* -1 (/ x s))) (* (+ 1 (exp (* -1 (/ x s)))) (+ s (* s (exp (* -1 (/ x s)))))))
(/ (exp (* -1 (/ x s))) (+ s (* s (exp (* -1 (/ x s))))))
(exp (* -1 (/ x s)))
(/ (exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))) s)
(exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))
(/ (exp (- (* -2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s))) s)
(exp (- (* -2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))
(* x (- (* -2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s)))
(* -1/4 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* -2 (/ (log 2) (pow x 2))) (* 1/4 (/ 1 (pow s 2)))))
(/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
(* s (* (exp (/ x s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* s (exp (/ x s)))
(+ 1 (exp (* -1 (/ 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)))) s)
(exp (+ (* -2 (log (+ 1 (exp (* -1 (/ x s)))))) (* -1 (/ x s))))
(* -1 (* x (+ (* 2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s))))
(/ (exp (* -1 (/ x s))) (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2)))
(/ (exp (* -1 (/ x s))) (* s (+ 1 (exp (* -1 (/ x s))))))
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ 1 s)
(/ (+ (* -2 (* s (log (+ 1 (exp (* -1 (/ x s))))))) (* -1 x)) s)
(/ (+ (* -2 (* (pow s 2) (log 2))) (* -1/4 (pow x 2))) (pow s 2))
(/ (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (+ (* 1/96 (/ (pow x 4) (pow s 4))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/24 (pow x 3)) (+ (* -1 (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))))))) (pow s 4))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 4))))))))) s)
(/ (- (+ 1/2 (* -1/2 (/ x s))) (* -1/4 (/ x s))) s)
(/ (- (+ 1/2 (+ (* -1/2 (/ x s)) (* 1/4 (/ (pow x 2) (pow s 2))))) (+ (* -1/2 (/ (* x (- (* -1/2 x) (* -1/4 x))) (pow s 2))) (+ (* -1/4 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))) s)
(/ (- (+ 1/2 (+ (* -1/2 (/ x s)) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (* 1/4 (/ (pow x 2) (pow s 2)))))) (+ (* -1/2 (/ (* x (- (* -1/2 x) (* -1/4 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 1/4 (pow x 2)) (+ (* -1/2 (* x (- (* -1/2 x) (* -1/4 x)))) (* 1/8 (pow x 2))))) (pow s 3))) (+ (* -1/4 (/ x s)) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (* 1/4 (/ (* (pow x 2) (- (* -1/2 x) (* -1/4 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))))))
(/ (+ (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))) 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 (+ (* -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)))))) s)
(+ 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 (/ (+ (* -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))))))
(/ (+ 1/4 (* -1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 2)))) (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -2 (* (pow x 2) (fabs x))) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow x 3)) (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 x)) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s)) (* 1/16 (/ (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))))) s)
(* 4 s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (* 4 (/ x s)))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (* x (fabs x)) (pow s 2))) (+ (* 2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ x s)) (/ (pow (fabs x) 2) (pow s 2)))))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (* x (fabs x)) (pow s 2))) (+ (* -2 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ x s)) (+ (/ (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2))))))))))))))
(* s (+ 1 (/ x s)))
(* s (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(* s (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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)))))))
(+ 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 (/ (- (* -1/8 (/ (pow x 2) (pow s 2))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow s 2))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* -1/24 (pow x 3)) (+ (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3)))) (* x (- (* -1/8 (pow x 2)) (* 1/16 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))))) (pow s 3))) (* -1/8 (/ (pow x 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow s 2))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/96 (pow x 4)) (+ (* -1/4 (* (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (- (* -1/8 (pow x 2)) (* 1/16 (+ (* -2 (pow x 2)) (* -1 (pow x 2))))))) (+ (* 1/16 (+ (* -1/3 (pow x 4)) (+ (* -1/4 (pow x 4)) (* -1/6 (pow x 4))))) (* x (- (* -1/24 (pow x 3)) (+ (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3)))) (* x (- (* -1/8 (pow x 2)) (* 1/16 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))))))))) s)) (* -1/24 (pow x 3))) (+ (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3)))) (* x (- (* -1/8 (pow x 2)) (* 1/16 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))))) (pow s 3))) (* -1/8 (/ (pow x 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow s 2))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1/2 x) (* -1/4 x)) s)) 1/2) s))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/2 (* x (- (* -1/2 x) (* -1/4 x)))))) s)) (* -1/2 x)) (* -1/4 x)) s)) 1/2) s))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/12 (pow x 3)) (+ (* -1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- (* -1/2 x) (* -1/4 x)))) (* 1/2 (* x (- (* -1/4 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/2 (* x (- (* -1/2 x) (* -1/4 x))))))))))) s)) (* -1/4 (pow x 2))) (+ (* -1/8 (pow x 2)) (* 1/2 (* x (- (* -1/2 x) (* -1/4 x)))))) s)) (* -1/2 x)) (* -1/4 x)) s)) 1/2) 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 (/ (+ (* -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 (* -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 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) s))) s)) (* -1/4 (+ x (* -1 x)))) s)) 1/4) 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)))
(- (* 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 (/ (- (* -1/16 (/ (+ (* -4 x) (* 4 (fabs x))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow x 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (* (pow x 2) (fabs x))) (pow (fabs x) 3)))))))) s)) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s))
(* -1 (* s (- (+ (* -4 (/ x s)) (* 4 (/ (fabs x) s))) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (/ (* x (fabs x)) s)) (+ (* -1 (+ (* -4 x) (* 4 (fabs x)))) (+ (* 2 (/ (pow x 2) s)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (+ (* -4 x) (* 4 (fabs x)))) (* -1 (/ (+ (* -1 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (+ (* -1 (/ (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (+ (* -2/3 (/ (pow x 3) s)) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (+ (* 2 (/ (* (pow x 2) (fabs x)) s)) (/ (pow (fabs x) 3) s)))))) s))) s)) 4)))
(* -1 (* s (- (* -1 (/ x s)) 1)))
(* -1 (* s (- (* -1 (/ (+ x (* 1/2 (/ (pow x 2) s))) s)) 1)))
(* -1 (* s (- (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/6 (/ (pow x 3) s))) s))) s)) 1)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 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 (* -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)))

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	s	@	-inf	((/ (/ (exp (/ (neg x) s)) (+ (* (exp (/ (neg x) s)) s) s)) (+ 1 (exp (/ (neg x) s)))) (/ (exp (/ (neg x) s)) (+ (* (exp (/ (neg x) s)) s) s)) (exp (/ (neg x) s)) (/ (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))) (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 1/4) (* (/ -1/16 s) (/ (* x x) s)) (* (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)))) (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s))) (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (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))) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (+ (* (/ -1/4 s) (/ (* x x) s)) (* (log 2) -2)) (/ 1 (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2))) (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (* s (exp (/ x s))) (+ 1 (exp (/ (neg x) s))) (/ (* x x) s) (neg x) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (exp (/ x s)))
10.0ms	x	@	inf	((/ (/ (exp (/ (neg x) s)) (+ (* (exp (/ (neg x) s)) s) s)) (+ 1 (exp (/ (neg x) s)))) (/ (exp (/ (neg x) s)) (+ (* (exp (/ (neg x) s)) s) s)) (exp (/ (neg x) s)) (/ (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))) (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 1/4) (* (/ -1/16 s) (/ (* x x) s)) (* (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)))) (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s))) (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (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))) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (+ (* (/ -1/4 s) (/ (* x x) s)) (* (log 2) -2)) (/ 1 (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2))) (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (* s (exp (/ x s))) (+ 1 (exp (/ (neg x) s))) (/ (* x x) s) (neg x) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (exp (/ x s)))
9.0ms	x	@	0	((/ (/ (exp (/ (neg x) s)) (+ (* (exp (/ (neg x) s)) s) s)) (+ 1 (exp (/ (neg x) s)))) (/ (exp (/ (neg x) s)) (+ (* (exp (/ (neg x) s)) s) s)) (exp (/ (neg x) s)) (/ (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))) (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 1/4) (* (/ -1/16 s) (/ (* x x) s)) (* (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)))) (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s))) (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (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))) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (+ (* (/ -1/4 s) (/ (* x x) s)) (* (log 2) -2)) (/ 1 (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2))) (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (* s (exp (/ x s))) (+ 1 (exp (/ (neg x) s))) (/ (* x x) s) (neg x) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (exp (/ x s)))
9.0ms	s	@	inf	((/ (/ (exp (/ (neg x) s)) (+ (* (exp (/ (neg x) s)) s) s)) (+ 1 (exp (/ (neg x) s)))) (/ (exp (/ (neg x) s)) (+ (* (exp (/ (neg x) s)) s) s)) (exp (/ (neg x) s)) (/ (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))) (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 1/4) (* (/ -1/16 s) (/ (* x x) s)) (* (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)))) (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s))) (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (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))) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (+ (* (/ -1/4 s) (/ (* x x) s)) (* (log 2) -2)) (/ 1 (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2))) (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (* s (exp (/ x s))) (+ 1 (exp (/ (neg x) s))) (/ (* x x) s) (neg x) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (exp (/ x s)))
7.0ms	x	@	-inf	((/ (/ (exp (/ (neg x) s)) (+ (* (exp (/ (neg x) s)) s) s)) (+ 1 (exp (/ (neg x) s)))) (/ (exp (/ (neg x) s)) (+ (* (exp (/ (neg x) s)) s) s)) (exp (/ (neg x) s)) (/ (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))) (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 1/4) (* (/ -1/16 s) (/ (* x x) s)) (* (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)))) (/ 1 s) (exp (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s))) (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (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))) (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (+ (* (/ -1/4 s) (/ (* x x) s)) (* (log 2) -2)) (/ 1 (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2))) (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (* s (exp (/ x s))) (+ 1 (exp (/ (neg x) s))) (/ (* x x) s) (neg x) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (exp (/ x s)))

simplify178.0ms (2.1%)

Memory

31.1MiB live, 215.5MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	964	4939
1	3357	4380
0	8407	4078

Stop Event

1×	iter limit
1×	node limit

Counts

166 → 165

Calls

Call 1

Inputs
(/ 1/4 s)
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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) (+ (* 1/96 (/ 1 (pow s 5))) (* x (- (* 1/96 (/ 1 (pow s 6))) (* 1/96 (/ 1 (pow s 6))))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))
(/ 1/2 s)
(+ (* -1/4 (/ x (pow s 2))) (* 1/2 (/ 1 s)))
(+ (* x (- (* 1/48 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))
(+ (* x (- (* (pow x 2) (+ (* -1/480 (/ (pow x 2) (pow s 6))) (* 1/48 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (/ x s))
(/ (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 (/ (pow x 2) (pow s 2)))
(+ (* (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)))
(+ 1/4 (* (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))))))
(- (* -1/4 (/ (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 (* 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))))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(+ (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(+ (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (* x (+ (* 1/2 (/ (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
(+ (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (* x (+ (* x (+ (* 1/6 (/ (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (pow s 2))) (* 1/2 (/ (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) s)))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
s
(+ s x)
(+ s (* x (+ 1 (* 1/2 (/ x s)))))
(+ s (* x (+ 1 (* x (+ (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ (pow x 2) s)
(* -1 x)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(+ 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 (* -1 (/ x s))) (* (+ 1 (exp (* -1 (/ x s)))) (+ s (* s (exp (* -1 (/ x s)))))))
(/ (exp (* -1 (/ x s))) (+ s (* s (exp (* -1 (/ x s))))))
(exp (* -1 (/ x s)))
(/ (exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))) s)
(exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))
(/ (exp (- (* -2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s))) s)
(exp (- (* -2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))
(* x (- (* -2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s)))
(* -1/4 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* -2 (/ (log 2) (pow x 2))) (* 1/4 (/ 1 (pow s 2)))))
(/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))
(* s (* (exp (/ x s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(* s (exp (/ x s)))
(+ 1 (exp (* -1 (/ 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)))) s)
(exp (+ (* -2 (log (+ 1 (exp (* -1 (/ x s)))))) (* -1 (/ x s))))
(* -1 (* x (+ (* 2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s))))
(/ (exp (* -1 (/ x s))) (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2)))
(/ (exp (* -1 (/ x s))) (* s (+ 1 (exp (* -1 (/ x s))))))
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ 1 s)
(/ (+ (* -2 (* s (log (+ 1 (exp (* -1 (/ x s))))))) (* -1 x)) s)
(/ (+ (* -2 (* (pow s 2) (log 2))) (* -1/4 (pow x 2))) (pow s 2))
(/ (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))) s)
(/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (+ (* 1/96 (/ (pow x 4) (pow s 4))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/24 (pow x 3)) (+ (* -1 (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))))))) (pow s 4))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 4))))))))) s)
(/ (- (+ 1/2 (* -1/2 (/ x s))) (* -1/4 (/ x s))) s)
(/ (- (+ 1/2 (+ (* -1/2 (/ x s)) (* 1/4 (/ (pow x 2) (pow s 2))))) (+ (* -1/2 (/ (* x (- (* -1/2 x) (* -1/4 x))) (pow s 2))) (+ (* -1/4 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2)))))) s)
(/ (- (+ 1/2 (+ (* -1/2 (/ x s)) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (* 1/4 (/ (pow x 2) (pow s 2)))))) (+ (* -1/2 (/ (* x (- (* -1/2 x) (* -1/4 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 1/4 (pow x 2)) (+ (* -1/2 (* x (- (* -1/2 x) (* -1/4 x)))) (* 1/8 (pow x 2))))) (pow s 3))) (+ (* -1/4 (/ x s)) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (* 1/4 (/ (* (pow x 2) (- (* -1/2 x) (* -1/4 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))))))
(/ (+ (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))) 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 (+ (* -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)))))) s)
(+ 1/4 (* 1/4 (/ (+ x (* -1 x)) s)))
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(+ (* -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 (/ (+ (* -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))))))
(/ (+ 1/4 (* -1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 2)))) (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s)
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -2 (* (pow x 2) (fabs x))) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow x 3)) (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 x)) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s)) (* 1/16 (/ (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))))) s)
(* 4 s)
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (* 4 (/ x s)))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (* x (fabs x)) (pow s 2))) (+ (* 2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ x s)) (/ (pow (fabs x) 2) (pow s 2)))))))))
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (* x (fabs x)) (pow s 2))) (+ (* -2 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ x s)) (+ (/ (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2))))))))))))))
(* s (+ 1 (/ x s)))
(* s (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(* s (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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)))))))
(+ 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 (/ (- (* -1/8 (/ (pow x 2) (pow s 2))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow s 2))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (* -1/24 (pow x 3)) (+ (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3)))) (* x (- (* -1/8 (pow x 2)) (* 1/16 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))))) (pow s 3))) (* -1/8 (/ (pow x 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow s 2))))) s))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/96 (pow x 4)) (+ (* -1/4 (* (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (- (* -1/8 (pow x 2)) (* 1/16 (+ (* -2 (pow x 2)) (* -1 (pow x 2))))))) (+ (* 1/16 (+ (* -1/3 (pow x 4)) (+ (* -1/4 (pow x 4)) (* -1/6 (pow x 4))))) (* x (- (* -1/24 (pow x 3)) (+ (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3)))) (* x (- (* -1/8 (pow x 2)) (* 1/16 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))))))))) s)) (* -1/24 (pow x 3))) (+ (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3)))) (* x (- (* -1/8 (pow x 2)) (* 1/16 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))))) (pow s 3))) (* -1/8 (/ (pow x 2) (pow s 2)))) (+ 1/4 (* 1/16 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow s 2))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1/2 x) (* -1/4 x)) s)) 1/2) s))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/2 (* x (- (* -1/2 x) (* -1/4 x)))))) s)) (* -1/2 x)) (* -1/4 x)) s)) 1/2) s))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/12 (pow x 3)) (+ (* -1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- (* -1/2 x) (* -1/4 x)))) (* 1/2 (* x (- (* -1/4 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/2 (* x (- (* -1/2 x) (* -1/4 x))))))))))) s)) (* -1/4 (pow x 2))) (+ (* -1/8 (pow x 2)) (* 1/2 (* x (- (* -1/2 x) (* -1/4 x)))))) s)) (* -1/2 x)) (* -1/4 x)) s)) 1/2) 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 (/ (+ (* -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 (* -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 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) s))) s)) (* -1/4 (+ x (* -1 x)))) s)) 1/4) 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)))
(- (* 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 (/ (- (* -1/16 (/ (+ (* -4 x) (* 4 (fabs x))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow x 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (* (pow x 2) (fabs x))) (pow (fabs x) 3)))))))) s)) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s))
(* -1 (* s (- (+ (* -4 (/ x s)) (* 4 (/ (fabs x) s))) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (/ (* x (fabs x)) s)) (+ (* -1 (+ (* -4 x) (* 4 (fabs x)))) (+ (* 2 (/ (pow x 2) s)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))))) s)) 4)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (+ (* -4 x) (* 4 (fabs x)))) (* -1 (/ (+ (* -1 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (+ (* -1 (/ (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (+ (* -2/3 (/ (pow x 3) s)) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (+ (* 2 (/ (* (pow x 2) (fabs x)) s)) (/ (pow (fabs x) 3) s)))))) s))) s)) 4)))
(* -1 (* s (- (* -1 (/ x s)) 1)))
(* -1 (* s (- (* -1 (/ (+ x (* 1/2 (/ (pow x 2) s))) s)) 1)))
(* -1 (* s (- (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/6 (/ (pow x 3) s))) s))) s)) 1)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 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 (* -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
(/ 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))
(+ (* (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) (+ (* 1/96 (/ 1 (pow s 5))) (* x (- (* 1/96 (/ 1 (pow s 6))) (* 1/96 (/ 1 (pow s 6))))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))
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(/ 1/2 s)
(/.f32 #s(literal 1/2 binary32) s)
(+ (* -1/4 (/ x (pow s 2))) (* 1/2 (/ 1 s)))
(fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/4 binary32) (/.f32 #s(literal 1/2 binary32) s))
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1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
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(/ (exp (neg (* 2 (log 2)))) s)
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(+ (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 3))) (/ (exp (neg (* 2 (log 2)))) s))
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(exp (neg (* 2 (log 2))))
#s(literal 1/4 binary32)
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1/4
#s(literal 1/4 binary32)
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s
(+ s x)
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
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(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/4 binary32))) s) #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 0 binary32) x) #s(literal -1/4 binary32))) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 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 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (* 1/6 (pow (+ x (* -1 x)) 3)))) s))) s)) (* -1/4 (+ x (* -1 x)))) s)) 1/4) s))
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 #s(literal 0 binary32) x) #s(literal -1/4 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 0 binary32) x) (.f32 (.f32 x x) #s(literal -1/4 binary32)) (fma.f32 (.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal -1/3 binary32)))) s) #s(literal 1/4 binary32) (.f32 (fma.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/4 binary32))) #s(literal -1/4 binary32))) (neg.f32 s))) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s))
(+ 1/4 (* -1/4 (/ (+ x (* -1 x)) s)))
(fma.f32 (*.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #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)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/4 binary32))) s) #s(literal -1/4 binary32) (.f32 (.f32 #s(literal 0 binary32) x) #s(literal 1/4 binary32))) s) #s(literal -1 binary32) #s(literal 1/4 binary32))
(+ 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)))
(fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 0 binary32) x) #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 0 binary32) x) (.f32 (.f32 x x) #s(literal -1/4 binary32)) (fma.f32 (.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal -1/3 binary32)))) s) #s(literal -1/4 binary32) (.f32 (fma.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) #s(literal 1/2 binary32) (.f32 (.f32 x x) #s(literal -1/4 binary32))) #s(literal 1/4 binary32))) (neg.f32 s))) s) #s(literal -1 binary32) #s(literal 1/4 binary32))
(+ (* -2 (log 2)) (* -1 (/ (+ x (* -1 x)) s)))
(fma.f32 #s(literal 0 binary32) (/.f32 x s) (*.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
(+ (* -2 (log 2)) (* -1 (/ (+ x (+ (* -1 x) (+ (* -1/4 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))))) s)))
(fma.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 0 binary32) x (.f32 (/.f32 (.f32 x x) s) #s(literal 1/4 binary32))) (neg.f32 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)))
(fma.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 0 binary32) x (/.f32 (fma.f32 (/.f32 (.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 3 binary32))) s) #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal -1/4 binary32))) (neg.f32 s))) (neg.f32 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 #s(literal 0 binary32) (pow.f32 x #s(literal 3 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 #s(literal 0 binary32) (pow.f32 x #s(literal 3 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 (/ (- (* -1/16 (/ (+ (* -4 x) (* 4 (fabs x))) s)) 1/4) s))
(/.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) s) #s(literal -1/16 binary32)) #s(literal 1/4 binary32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s))
(/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal 1/16 binary32) (/.f32 (fma.f32 (pow.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal 2 binary32)) #s(literal -1/64 binary32) (.f32 (fma.f32 (.f32 (fabs.f32 x) x) #s(literal -4 binary32) (fma.f32 #s(literal 3 binary32) (.f32 x x) (.f32 (*.f32 x x) #s(literal 2 binary32)))) #s(literal 1/16 binary32))) (neg.f32 s))) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow x 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (* (pow x 2) (fabs x))) (pow (fabs x) 3)))))))) s)) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s))
(/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal 1/16 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x)))) (fma.f32 (pow.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal 2 binary32)) #s(literal -1/64 binary32) (.f32 (fma.f32 (.f32 (fabs.f32 x) x) #s(literal -4 binary32) (fma.f32 #s(literal 3 binary32) (.f32 x x) (.f32 (.f32 x x) #s(literal 2 binary32)))) #s(literal 1/16 binary32))) (fma.f32 (.f32 #s(literal -1/64 binary32) (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x)))) (fma.f32 (.f32 (fabs.f32 x) x) #s(literal -4 binary32) (fma.f32 #s(literal 3 binary32) (.f32 x x) (.f32 (.f32 x x) #s(literal 2 binary32)))) (.f32 (-.f32 (fma.f32 #s(literal -2/3 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 2/3 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))))) (.f32 (.f32 #s(literal 3 binary32) (.f32 x x)) x)) #s(literal 1/16 binary32)))) (neg.f32 s)) (fma.f32 (pow.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal 2 binary32)) #s(literal -1/64 binary32) (.f32 (fma.f32 (.f32 (fabs.f32 x) x) #s(literal -4 binary32) (fma.f32 #s(literal 3 binary32) (.f32 x x) (.f32 (*.f32 x x) #s(literal 2 binary32)))) #s(literal 1/16 binary32)))) (neg.f32 s))) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s))
(* -1 (* s (- (+ (* -4 (/ x s)) (* 4 (/ (fabs x) s))) 4)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (/ (* x (fabs x)) s)) (+ (* -1 (+ (* -4 x) (* 4 (fabs x)))) (+ (* 2 (/ (pow x 2) s)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))))) s)) 4)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 (fabs.f32 x) s)) #s(literal -4 binary32) (fma.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (.f32 x x) (.f32 (.f32 x x) #s(literal 2 binary32))) s))) (neg.f32 s)) #s(literal 4 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (+ (* -4 x) (* 4 (fabs x)))) (* -1 (/ (+ (* -1 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (+ (* -1 (/ (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (+ (* -2/3 (/ (pow x 3) s)) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (+ (* 2 (/ (* (pow x 2) (fabs x)) s)) (/ (pow (fabs x) 3) s)))))) s))) s)) 4)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 (fma.f32 (.f32 (fabs.f32 x) x) #s(literal -4 binary32) (fma.f32 #s(literal 3 binary32) (.f32 x x) (.f32 (.f32 x x) #s(literal 2 binary32)))) #s(literal -1 binary32) (fma.f32 x (.f32 #s(literal -3 binary32) (/.f32 (.f32 x x) s)) (+.f32 (/.f32 (fma.f32 #s(literal -2/3 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 #s(literal 2/3 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) s) (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) s)))) s) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))))) (neg.f32 s)) #s(literal 4 binary32)))
(* -1 (* s (- (* -1 (/ x s)) 1)))
(*.f32 (neg.f32 s) (-.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)))
(* -1 (* s (- (* -1 (/ (+ x (* 1/2 (/ (pow x 2) s))) s)) 1)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal 1/2 binary32) x) (neg.f32 s)) #s(literal 1 binary32)))
(* -1 (* s (- (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/6 (/ (pow x 3) s))) s))) s)) 1)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (fma.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))) s) #s(literal -1 binary32) x) (neg.f32 s)) #s(literal 1 binary32)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(fma.f32 (/.f32 (fma.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))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (.f32 x x) s) (.f32 #s(literal 4 binary32) (fabs.f32 x))) s) #s(literal -1 binary32) #s(literal 4 binary32))
(+ 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)))
(fma.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (fma.f32 #s(literal 3 binary32) (.f32 x x) (/.f32 (.f32 #s(literal 5/3 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (neg.f32 s))) (neg.f32 s))) s) #s(literal -1 binary32) #s(literal 4 binary32))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(fma.f32 (/.f32 (neg.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))) s) x)) s) #s(literal -1 binary32) #s(literal 1 binary32))

rewrite144.0ms (1.7%)

Memory

3.7MiB live, 133.4MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	448
0	108	444
1	375	418
2	2502	357
0	9229	326

Stop Event

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

Counts

25 → 689

Calls

Call 1

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

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

eval150.0ms (1.7%)

Memory: -27.7MiB live, 163.0MiB allocated; 69ms collecting garbage
Compiler: Compiled 37 727 to 3 928 computations (89.6% saved)

prune41.0ms (0.5%)

Memory

26.6MiB live, 86.0MiB allocated; 7ms collecting garbage

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	936	9	945
Fresh	2	9	11
Picked	1	4	5
Done	0	2	2
Total	939	24	963

Accuracy

99.7%

Counts

963 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.5%	(/.f32 (fma.f32 (cosh.f32 (/.f32 x s)) (.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 (exp.f32 (/.f32 x s)))) s) (.f32 (.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 (exp.f32 (/.f32 x s)))) s) (sinh.f32 (/.f32 x s)))) (.f32 (.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 (exp.f32 (/.f32 x s)))) s) (.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 (exp.f32 (/.f32 x s)))) s)))
✓	99.5%	(/.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) (exp.f32 (/.f32 (neg.f32 x) s))))
	81.4%	(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (.f32 x x) s) (/.f32 x s))) #s(literal 1 binary32)))) (.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
	99.5%	(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))) s)
	90.9%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 x (.f32 s s)) #s(literal -5/3 binary32) (/.f32 #s(literal 3 binary32) s)) x) #s(literal 4 binary32)) x (*.f32 #s(literal 4 binary32) s))))
	96.4%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 4 binary32)) x (.f32 #s(literal 4 binary32) s))))
	95.1%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (*.f32 (fma.f32 (/.f32 x s) #s(literal -4 binary32) #s(literal 4 binary32)) 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)))
	26.3%	(/.f32 (exp.f32 (/.f32 x s)) (*.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 (exp.f32 (/.f32 x s)))) s))
	97.0%	(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) x) s) (/.f32 x s) (log.f32 #s(literal 1/4 binary32))))) s)
	26.4%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 (.f32 x (/.f32 x s)) #s(literal 1/4 binary32)) #s(literal 1/4 binary32))) s)
	20.4%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #s(literal 1/4 binary32))) s)
✓	4.9%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
	80.4%	(.f32 (pow.f32 (pow.f32 s #s(literal -1/2 binary32)) #s(literal 2 binary32)) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) s))))
✓	99.5%	(*.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 (neg.f32 x) s))))
	78.3%	(*.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x s))))
✓	80.4%	(.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) s))))
	80.3%	(.f32 (exp.f32 (.f32 (log.f32 s) #s(literal -1 binary32))) (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) s))))
	76.0%	(exp.f32 (*.f32 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (-.f32 (log.f32 s) (/.f32 x s))) #s(literal -1 binary32)))
✓	99.4%	#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 s (exp.f32 (/.f32 x s))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))
	27.4%	#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)) s))))
	39.5%	#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 (fabs.f32 x) s)) #s(literal -4 binary32) (fma.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (.f32 x x) (.f32 (.f32 x x) #s(literal 2 binary32))) s))) (neg.f32 s)) #s(literal 4 binary32))))))
	68.6%	#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) s))
✓	26.7%	#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 2 473 to 813 computations (67.1% saved)

regimes67.0ms (0.8%)

Memory

-5.3MiB live, 133.3MiB allocated; 7ms collecting garbage

Counts

51 → 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))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)) s))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 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 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #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 -1/4 binary32) s) (.f32 (.f32 x (/.f32 x s)) #s(literal 1/4 binary32)) #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 -1/4 binary32) s) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x 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 (-.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))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) s))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 (fabs.f32 x) s)) #s(literal -4 binary32) (fma.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (.f32 x x) (.f32 (.f32 x x) #s(literal 2 binary32))) s))) (neg.f32 s)) #s(literal 4 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) 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)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (*.f32 (fma.f32 (/.f32 x s) #s(literal -4 binary32) #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 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s)))
(/.f32 (exp.f32 (/.f32 (.f32 (sqrt.f32 x) (neg.f32 (sqrt.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 (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 4 binary32)) x (.f32 #s(literal 4 binary32) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 x (.f32 s s)) #s(literal -5/3 binary32) (/.f32 #s(literal 3 binary32) s)) x) #s(literal 4 binary32)) x (*.f32 #s(literal 4 binary32) s))))
(/.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.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)))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) x) s) (/.f32 x s) (log.f32 #s(literal 1/4 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) 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 (.f32 x 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 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) s (neg.f32 x)))))
(.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) (.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))
(/.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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.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 (.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)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (/.f32 (.f32 (sqrt.f32 x) (neg.f32 (sqrt.f32 x))) s)) (.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (.f32 x x) s) (/.f32 x s))) #s(literal 1 binary32)))) (.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(.f32 (pow.f32 (pow.f32 s #s(literal -1/2 binary32)) #s(literal 2 binary32)) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) s))))
(.f32 (exp.f32 (.f32 (log.f32 s) #s(literal -1 binary32))) (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) 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)
(*.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x 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 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 (neg.f32 x) s))))
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)))) 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 (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)))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 s (exp.f32 (/.f32 x 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) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) s) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (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 (/.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 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.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) (exp.f32 (/.f32 (neg.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 (fma.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (-.f32 (log.f32 s) (/.f32 x s))) #s(literal -1 binary32)))
(/.f32 (exp.f32 (/.f32 x s)) (*.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 (exp.f32 (/.f32 x s)))) s))
(.f32 (exp.f32 (.f32 (log.f32 s) #s(literal -1 binary32))) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 (neg.f32 x) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) 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))))
(/.f32 (fma.f32 (cosh.f32 (/.f32 x s)) (.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 (exp.f32 (/.f32 x s)))) s) (.f32 (.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 (exp.f32 (/.f32 x s)))) s) (sinh.f32 (/.f32 x s)))) (.f32 (.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 (exp.f32 (/.f32 x s)))) s) (.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 (exp.f32 (/.f32 x s)))) s)))

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

Calls

5 calls:

15.0ms	s
15.0ms	x
14.0ms	(fabs.f32 x)
12.0ms	(neg.f32 (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)))))

Results

Accuracy	Segments	Branch
99.5%	1	`(fabs.f32 x)`
99.5%	1	`(neg.f32 (fabs.f32 x))`
99.5%	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)))))`
99.5%	1	`x`
99.5%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes60.0ms (0.7%)

Memory

-7.5MiB live, 131.6MiB allocated; 11ms collecting garbage

Counts

42 → 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))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)) s))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 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 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #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 -1/4 binary32) s) (.f32 (.f32 x (/.f32 x s)) #s(literal 1/4 binary32)) #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 -1/4 binary32) s) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x 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 (-.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))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) s))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 (fabs.f32 x) s)) #s(literal -4 binary32) (fma.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (.f32 x x) (.f32 (.f32 x x) #s(literal 2 binary32))) s))) (neg.f32 s)) #s(literal 4 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) 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)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (*.f32 (fma.f32 (/.f32 x s) #s(literal -4 binary32) #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 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s)))
(/.f32 (exp.f32 (/.f32 (.f32 (sqrt.f32 x) (neg.f32 (sqrt.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 (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 4 binary32)) x (.f32 #s(literal 4 binary32) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 x (.f32 s s)) #s(literal -5/3 binary32) (/.f32 #s(literal 3 binary32) s)) x) #s(literal 4 binary32)) x (*.f32 #s(literal 4 binary32) s))))
(/.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.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)))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) x) s) (/.f32 x s) (log.f32 #s(literal 1/4 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) 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 (.f32 x 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 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) s (neg.f32 x)))))
(.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) (.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))
(/.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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.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 (.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)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (/.f32 (.f32 (sqrt.f32 x) (neg.f32 (sqrt.f32 x))) s)) (.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (.f32 x x) s) (/.f32 x s))) #s(literal 1 binary32)))) (.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(.f32 (pow.f32 (pow.f32 s #s(literal -1/2 binary32)) #s(literal 2 binary32)) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) s))))
(.f32 (exp.f32 (.f32 (log.f32 s) #s(literal -1 binary32))) (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) 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)
(*.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x 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 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 (neg.f32 x) s))))
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)))) 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 (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)))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 s (exp.f32 (/.f32 x 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) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) s) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (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 (/.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))))

Outputs

#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))))

Calls

5 calls:

14.0ms	s
13.0ms	(fabs.f32 x)
11.0ms	x
11.0ms	(neg.f32 (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)))))

Results

Accuracy	Segments	Branch
99.5%	1	`(fabs.f32 x)`
99.5%	1	`(neg.f32 (fabs.f32 x))`
99.5%	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)))))`
99.5%	1	`x`
99.5%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes57.0ms (0.7%)

Memory

29.0MiB live, 128.3MiB allocated; 8ms collecting garbage

Counts

41 → 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))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)) s))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 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 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #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 -1/4 binary32) s) (.f32 (.f32 x (/.f32 x s)) #s(literal 1/4 binary32)) #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 -1/4 binary32) s) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x 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 (-.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))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) s))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 (fabs.f32 x) s)) #s(literal -4 binary32) (fma.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (.f32 x x) (.f32 (.f32 x x) #s(literal 2 binary32))) s))) (neg.f32 s)) #s(literal 4 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) 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)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (*.f32 (fma.f32 (/.f32 x s) #s(literal -4 binary32) #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 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s)))
(/.f32 (exp.f32 (/.f32 (.f32 (sqrt.f32 x) (neg.f32 (sqrt.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 (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 4 binary32)) x (.f32 #s(literal 4 binary32) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 x (.f32 s s)) #s(literal -5/3 binary32) (/.f32 #s(literal 3 binary32) s)) x) #s(literal 4 binary32)) x (*.f32 #s(literal 4 binary32) s))))
(/.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.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)))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) x) s) (/.f32 x s) (log.f32 #s(literal 1/4 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) 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 (.f32 x 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 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) s (neg.f32 x)))))
(.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) (.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))
(/.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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.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 (.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)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (/.f32 (.f32 (sqrt.f32 x) (neg.f32 (sqrt.f32 x))) s)) (.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (.f32 x x) s) (/.f32 x s))) #s(literal 1 binary32)))) (.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(.f32 (pow.f32 (pow.f32 s #s(literal -1/2 binary32)) #s(literal 2 binary32)) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) s))))
(.f32 (exp.f32 (.f32 (log.f32 s) #s(literal -1 binary32))) (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) 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)
(*.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x 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 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 (neg.f32 x) s))))
(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)))) 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 (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)))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 s (exp.f32 (/.f32 x 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) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) s) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 x)) s))))

Outputs
(/.f32 (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:

13.0ms	x
13.0ms	(neg.f32 (fabs.f32 x))
11.0ms	s
10.0ms	(fabs.f32 x)
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
99.5%	1	`(fabs.f32 x)`
99.5%	1	`(neg.f32 (fabs.f32 x))`
99.5%	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)))))`
99.5%	1	`x`
99.5%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes46.0ms (0.5%)

Memory

-10.0MiB live, 128.1MiB allocated; 6ms 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))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)) s))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 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 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #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 -1/4 binary32) s) (.f32 (.f32 x (/.f32 x s)) #s(literal 1/4 binary32)) #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 -1/4 binary32) s) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x 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 (-.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))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) s))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 (fabs.f32 x) s)) #s(literal -4 binary32) (fma.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (.f32 x x) (.f32 (.f32 x x) #s(literal 2 binary32))) s))) (neg.f32 s)) #s(literal 4 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) 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)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (*.f32 (fma.f32 (/.f32 x s) #s(literal -4 binary32) #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 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s)))
(/.f32 (exp.f32 (/.f32 (.f32 (sqrt.f32 x) (neg.f32 (sqrt.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 (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 4 binary32)) x (.f32 #s(literal 4 binary32) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 x (.f32 s s)) #s(literal -5/3 binary32) (/.f32 #s(literal 3 binary32) s)) x) #s(literal 4 binary32)) x (*.f32 #s(literal 4 binary32) s))))
(/.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.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)))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) x) s) (/.f32 x s) (log.f32 #s(literal 1/4 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) 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 (.f32 x 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 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) s (neg.f32 x)))))
(.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) (.f32 s #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))))
(/.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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (-.f32 #s(literal 2 binary32) (/.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 (.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)))) #s(literal 2 binary32)))) s)
(/.f32 (exp.f32 (/.f32 (.f32 (sqrt.f32 x) (neg.f32 (sqrt.f32 x))) s)) (.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (.f32 x x) s) (/.f32 x s))) #s(literal 1 binary32)))) (.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
(.f32 (pow.f32 (pow.f32 s #s(literal -1/2 binary32)) #s(literal 2 binary32)) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) s))))
(.f32 (exp.f32 (.f32 (log.f32 s) #s(literal -1 binary32))) (exp.f32 #s(approx (+ (* -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) s))))

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

Calls

5 calls:

10.0ms	(neg.f32 (fabs.f32 x))
9.0ms	x
8.0ms	s
8.0ms	(fabs.f32 x)
6.0ms	(/.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
97.0%	1	`(fabs.f32 x)`
97.0%	1	`(neg.f32 (fabs.f32 x))`
97.0%	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)))))`
97.0%	1	`x`
97.0%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes35.0ms (0.4%)

Memory

2.3MiB live, 58.1MiB allocated; 18ms collecting garbage

Counts

19 → 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))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)) s))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 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 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #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 -1/4 binary32) s) (.f32 (.f32 x (/.f32 x s)) #s(literal 1/4 binary32)) #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 -1/4 binary32) s) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x 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 (-.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))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) s))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 (fabs.f32 x) s)) #s(literal -4 binary32) (fma.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (.f32 x x) (.f32 (.f32 x x) #s(literal 2 binary32))) s))) (neg.f32 s)) #s(literal 4 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) 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)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (*.f32 (fma.f32 (/.f32 x s) #s(literal -4 binary32) #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 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s)))
(/.f32 (exp.f32 (/.f32 (.f32 (sqrt.f32 x) (neg.f32 (sqrt.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 (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 4 binary32)) x (.f32 #s(literal 4 binary32) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 x (.f32 s s)) #s(literal -5/3 binary32) (/.f32 #s(literal 3 binary32) s)) x) #s(literal 4 binary32)) x (*.f32 #s(literal 4 binary32) s))))
(/.f32 (-.f32 (cosh.f32 (/.f32 x s)) (sinh.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)))

Outputs

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

Calls

5 calls:

14.0ms	x
5.0ms	s
5.0ms	(fabs.f32 x)
5.0ms	(neg.f32 (fabs.f32 x))
4.0ms	(/.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	`(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	`(fabs.f32 x)`
96.4%	1	`x`
96.4%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory

0.8MiB live, 47.2MiB allocated; 5ms collecting garbage

Counts

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

Outputs

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

Calls

5 calls:

8.0ms	s
5.0ms	(fabs.f32 x)
5.0ms	x
5.0ms	(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
95.1%	1	`(fabs.f32 x)`
95.1%	1	`(neg.f32 (fabs.f32 x))`
95.1%	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)))))`
95.1%	1	`x`
95.1%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes22.0ms (0.3%)

Memory

-9.0MiB live, 37.7MiB allocated; 2ms collecting garbage

Counts

13 → 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))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)) s))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 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 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #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 -1/4 binary32) s) (.f32 (.f32 x (/.f32 x s)) #s(literal 1/4 binary32)) #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 -1/4 binary32) s) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x 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 (-.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))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) s))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 (fabs.f32 x) s)) #s(literal -4 binary32) (fma.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (.f32 x x) (.f32 (.f32 x x) #s(literal 2 binary32))) s))) (neg.f32 s)) #s(literal 4 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) 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)))

Outputs
(/.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)))

Calls

5 calls:

6.0ms	s
4.0ms	(neg.f32 (fabs.f32 x))
4.0ms	x
4.0ms	(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
93.9%	1	`(fabs.f32 x)`
93.9%	1	`x`
93.9%	1	`(neg.f32 (fabs.f32 x))`
93.9%	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)))))`
93.9%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

-10.9MiB live, 35.4MiB allocated; 4ms collecting garbage

Counts

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

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:

6.0ms	x
4.0ms	s
4.0ms	(neg.f32 (fabs.f32 x))
4.0ms	(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
93.9%	1	`(fabs.f32 x)`
93.9%	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)))))`
93.9%	1	`x`
93.9%	1	`s`
93.9%	1	`(neg.f32 (fabs.f32 x))`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

-19.2MiB live, 32.5MiB allocated; 3ms collecting garbage

Counts

10 → 2

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

Outputs

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

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

Calls

5 calls:

6.0ms	(fabs.f32 x)
3.0ms	(neg.f32 (fabs.f32 x))
3.0ms	s
3.0ms	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
92.3%	2	`(fabs.f32 x)`
96.8%	2	`(/.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)))))`
92.3%	2	`x`
85.1%	2	`s`
92.3%	2	`(neg.f32 (fabs.f32 x))`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

31.7MiB live, 31.7MiB allocated; 0ms collecting garbage

Counts

9 → 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))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)) s))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/4 s) (/ (* 1/4 (* x x)) s)) 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 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #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 -1/4 binary32) s) (.f32 (.f32 x (/.f32 x s)) #s(literal 1/4 binary32)) #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 -1/4 binary32) s) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 x 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 (-.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))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) s))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 (fabs.f32 x) s)) #s(literal -4 binary32) (fma.f32 (fma.f32 #s(literal -4 binary32) x (.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (.f32 x x) (.f32 (.f32 x x) #s(literal 2 binary32))) s))) (neg.f32 s)) #s(literal 4 binary32))))))

Outputs

#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) s))

Calls

5 calls:

3.0ms	s
3.0ms	(neg.f32 (fabs.f32 x))
3.0ms	x
3.0ms	(fabs.f32 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
68.6%	1	`s`
68.6%	1	`(fabs.f32 x)`
68.6%	1	`x`
68.6%	1	`(neg.f32 (fabs.f32 x))`
68.6%	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)))))`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

-23.1MiB live, 22.7MiB allocated; 4ms collecting garbage

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

Outputs

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

Calls

5 calls:

5.0ms	x
3.0ms	(neg.f32 (fabs.f32 x))
2.0ms	s
2.0ms	(fabs.f32 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
27.4%	1	`(fabs.f32 x)`
27.4%	1	`x`
27.4%	1	`(neg.f32 (fabs.f32 x))`
27.4%	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)))))`
27.4%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 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))

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:

1.0ms	(fabs.f32 x)
1.0ms	(neg.f32 (fabs.f32 x))
1.0ms	x
1.0ms	s
1.0ms	(/.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
26.7%	1	`(fabs.f32 x)`
26.7%	1	`x`
26.7%	1	`s`
26.7%	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)))))`
26.7%	1	`(neg.f32 (fabs.f32 x))`

Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0442684217348841e-10	0.7085716128349304

Compiler

Compiled 29 to 16 computations (44.8% saved)

simplify50.0ms (0.6%)

Memory

11.1MiB live, 57.3MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	419
1	242	415
2	607	405
3	2730	405

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.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 (/.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 (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 (*.f32 #s(literal -1/4 binary32) x) s) (/.f32 x s) (log.f32 #s(literal 1/4 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 4 binary32)) x (.f32 #s(literal 4 binary32) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (*.f32 (fma.f32 (/.f32 x s) #s(literal -4 binary32) #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)))
(/.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)))
(if (<=.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))))) #s(literal 14411519/72057594037927936 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) s)))) (/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 (.f32 x (/.f32 x s)) #s(literal 1/4 binary32)) #s(literal 1/4 binary32))) s))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) s))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (.f32 #s(literal 4 binary32) 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))))) (/.f32 #s(literal 1/4 binary32) s))

Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.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 (/.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 (neg.f32 (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (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 (*.f32 #s(literal -1/4 binary32) x) s) (/.f32 x s) (log.f32 #s(literal 1/4 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 4 binary32)) x (.f32 #s(literal 4 binary32) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (+ (* (exp (/ (neg x) s)) s) s) (+ 1 (exp (/ (neg x) s)))) (*.f32 (fma.f32 (/.f32 x s) #s(literal -4 binary32) #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)))
(/.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)))
(if (<=.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))))) #s(literal 14411519/72057594037927936 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 #s(approx (+ ( -2 (log (+ 1 (exp (/ (neg x) s))))) (/ (neg x) s)) (/.f32 (neg.f32 x) s)))) (/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 (.f32 x (/.f32 x s)) #s(literal 1/4 binary32)) #s(literal 1/4 binary32))) s))
#s(approx (/ (- (cosh (/ x s)) (sinh (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 x (neg.f32 x)) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) s))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (+.f32 x x) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) s))
#s(approx (/ (/ 1 (exp (/ x s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* s (exp (/ x s))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (.f32 (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (.f32 #s(literal 4 binary32) 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))))) (/.f32 #s(literal 1/4 binary32) s))

derivations1.4s (16.8%)

Memory

4.5MiB live, 1 246.5MiB allocated; 186ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	318
0	99	308
1	319	287
0	2282	285
0	39	270
0	66	280
1	196	259
2	1376	215
0	9252	210
0	72	448
0	108	444
1	375	418
2	2502	357
0	9229	326
0	230	1035
1	781	877
2	3017	863
0	8228	814
0	11	74
0	19	74
1	69	60
2	481	52
3	5851	52
0	8523	51
0	1185	5927
1	4269	5560
0	8951	5190
0	964	4939
1	3357	4380
0	8407	4078
0	728	3942
1	2563	3186
0	8687	2998

Stop Event

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

Compiler

Compiled 462 to 124 computations (73.2% saved)

preprocess67.0ms (0.8%)

Memory: 29.4MiB live, 159.5MiB allocated; 21ms collecting garbage
Compiler: Compiled 1 114 to 354 computations (68.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze93.0ms (1.1%)

sample1.5s (17.3%)

explain226.0ms (2.6%)

preprocess184.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify147.0ms (1.7%)

localize51.0ms (0.6%)

series19.0ms (0.2%)

simplify181.0ms (2.1%)

rewrite173.0ms (2%)

eval77.0ms (0.9%)

prune18.0ms (0.2%)

simplify147.0ms (1.7%)

localize75.0ms (0.9%)

series134.0ms (1.6%)

simplify152.0ms (1.8%)

rewrite192.0ms (2.2%)

eval274.0ms (3.2%)

prune94.0ms (1.1%)

simplify226.0ms (2.6%)

localize776.0ms (9%)

series105.0ms (1.2%)

simplify242.0ms (2.8%)

rewrite108.0ms (1.3%)

eval479.0ms (5.6%)

prune45.0ms (0.5%)

simplify207.0ms (2.4%)

localize157.0ms (1.8%)

series62.0ms (0.7%)

simplify178.0ms (2.1%)

rewrite144.0ms (1.7%)

eval150.0ms (1.7%)

prune41.0ms (0.5%)

regimes67.0ms (0.8%)

regimes60.0ms (0.7%)

regimes57.0ms (0.7%)

regimes46.0ms (0.5%)

regimes35.0ms (0.4%)

regimes27.0ms (0.3%)

regimes22.0ms (0.3%)

regimes21.0ms (0.2%)

regimes19.0ms (0.2%)

regimes15.0ms (0.2%)

regimes15.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify50.0ms (0.6%)

derivations1.4s (16.8%)

preprocess67.0ms (0.8%)

end0.0ms (0%)

Profiling