Metrics for Logistic distribution

start0.0ms (0%)

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

analyze71.0ms (1%)

Memory

22.2MiB live, 51.0MiB allocated; 28ms 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)

sample1.8s (25.6%)

Memory

-39.3MiB live, 1 251.4MiB allocated; 1.6s collecting garbage

Samples

934.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 661.0ms

const: 126.0ms (19.1% of total)

ival-div: 122.0ms (18.5% of total)

ival-mult: 113.0ms (17.1% of total)

ival-exp: 66.0ms (10% of total)

ival-<=: 64.0ms (9.7% of total)

ival-fabs: 57.0ms (8.6% of total)

ival-add: 45.0ms (6.8% of total)

ival-neg: 37.0ms (5.6% of total)

ival-and: 12.0ms (1.8% of total)

exact: 12.0ms (1.8% of total)

adjust: 3.0ms (0.5% of total)

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

Bogosity

explain154.0ms (2.2%)

Memory

-7.9MiB live, 233.2MiB allocated; 52ms collecting garbage

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))`
0	-	-	`#s(literal 1 binary32)`
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)))))`
2	(7.131334495567485e-16 4.763895275092947e-18)	-	`(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))`
0	-	-	`s`
0	-	-	`(neg.f32 (fabs.f32 x))`
0	-	-	`(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))`
0	-	-	`(/.f32 (neg.f32 (fabs.f32 x)) s)`
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	-	-	`x`
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	2	0

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

49.0ms

512×

valid

Compiler

Compiled 194 to 37 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-exp: 8.0ms (23.6% of total)

ival-fabs: 8.0ms (23.6% of total)

ival-div: 7.0ms (20.7% of total)

ival-mult: 6.0ms (17.7% of total)

ival-add: 2.0ms (5.9% of total)

ival-neg: 2.0ms (5.9% 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)

preprocess151.0ms (2.2%)

Memory

-16.1MiB live, 137.2MiB allocated; 23ms 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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.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

▶

99.8%

(/.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)

simplify107.0ms (1.5%)

Memory

2.6MiB live, 95.8MiB allocated; 4ms 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)

localize27.0ms (0.4%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))
accuracy	0.0234375	(.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	0.03125	(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
accuracy	0.04296875	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Samples

19.0ms

256×

valid

Compiler

Compiled 84 to 13 computations (84.5% saved)

Precisions

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

ival-div: 3.0ms (24.6% of total)

ival-mult: 3.0ms (24.6% of total)

ival-exp: 2.0ms (16.4% of total)

ival-add: 1.0ms (8.2% of total)

ival-fabs: 1.0ms (8.2% of total)

ival-neg: 1.0ms (8.2% 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)

series41.0ms (0.6%)

Memory

-25.7MiB live, 28.5MiB allocated; 6ms 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
25.0ms	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))))
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))))
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	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))))

simplify152.0ms (2.2%)

Memory

-7.0MiB live, 83.2MiB allocated; 11ms 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)))

rewrite202.0ms (2.9%)

Memory

26.6MiB live, 163.4MiB allocated; 34ms 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)))

eval137.0ms (2%)

Memory: -16.9MiB live, 126.6MiB allocated; 28ms collecting garbage
Compiler: Compiled 32 126 to 2 653 computations (91.7% saved)

prune19.0ms (0.3%)

Memory

-0.9MiB live, 44.9MiB allocated; 3ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	788	10	798
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	789	10	799

Accuracy

100.0%

Counts

799 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.1%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (+.f32 (+.f32 s (.f32 (cosh.f32 (/.f32 x s)) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
▶	96.5%	(/.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)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
	99.8%	(/.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)))
	96.2%	(/.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)))
▶	99.8%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) s)
	99.8%	(/.f32 (exp.f32 (.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (neg.f32 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)))))
▶	99.8%	#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))))
▶	28.2%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
	25.0%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 x x) (.f32 #s(literal 3/16 binary32) (.f32 x x))) (.f32 s s))) s))
▶	29.5%	#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 684 to 376 computations (45% saved)

simplify147.0ms (2.1%)

Memory

22.0MiB live, 110.1MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	449
0	85	398
1	175	398
2	505	395
3	2322	389
0	8176	386

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (1.8%)

Memory

-2.1MiB live, 149.3MiB allocated; 29ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
accuracy	0.01953125	(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))
accuracy	0.0390625	(/.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)))
accuracy	0.05859375	(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))
accuracy	0.0234375	(.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	0.03125	(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))
accuracy	0.04296875	(/.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	17.524334499127445	#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
accuracy	1.0093430462079762	(/.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))
accuracy	3.177205227862396	(/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s)
accuracy	6.8555741312173	(fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x)))
accuracy	22.73651932255417	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
accuracy	0.0	(/.f32 #s(literal 1/4 binary32) s)
accuracy	22.553589833602533	#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	0.01171875	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.014003759768442016	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.015625	(-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))
accuracy	0.03191376953688403	(exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))

Samples

100.0ms

256×

valid

Compiler

Compiled 415 to 41 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-div: 50.0ms (59.9% of total)

ival-mult: 10.0ms (12% of total)

ival-exp: 9.0ms (10.8% of total)

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

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

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

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

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

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

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series171.0ms (2.4%)

Memory

-7.5MiB live, 176.2MiB allocated; 28ms collecting garbage

Counts

25 → 119

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
74.0ms	x	@	inf	((- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (/ (- (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) 1/4) (neg s)) (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg 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))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ (exp (/ (fabs x) (neg s))) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (/ (exp (/ (fabs x) (neg s))) s) (exp (/ (fabs x) (neg s))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1))
30.0ms	s	@	inf	((- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (/ (- (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) 1/4) (neg s)) (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg 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))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ (exp (/ (fabs x) (neg s))) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (/ (exp (/ (fabs x) (neg s))) s) (exp (/ (fabs x) (neg s))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1))
27.0ms	s	@	0	((- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (/ (- (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) 1/4) (neg s)) (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg 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))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ (exp (/ (fabs x) (neg s))) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (/ (exp (/ (fabs x) (neg s))) s) (exp (/ (fabs x) (neg s))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1))
19.0ms	x	@	-inf	((- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (/ (- (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) 1/4) (neg s)) (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg 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))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ (exp (/ (fabs x) (neg s))) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (/ (exp (/ (fabs x) (neg s))) s) (exp (/ (fabs x) (neg s))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1))
10.0ms	x	@	0	((- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (neg x) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) (+ (* -3/16 (* x x)) (* 1/8 (* x x))) (/ (- (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) 1/4) (neg s)) (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg 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))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (/ (exp (/ (fabs x) (neg s))) s) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2)) (/ (exp (/ (fabs x) (neg s))) s) (exp (/ (fabs x) (neg s))) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (+ 1 (exp (/ (neg (fabs x)) s))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1))

simplify161.0ms (2.3%)

Memory

-17.0MiB live, 128.0MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	578	3012
1	1940	2219
0	8829	2079

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 119

Calls

Call 1

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

Outputs
(* -2 (log 2))
(*.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))
(- (* -1/4 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))
(fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 x (/.f32 x s)) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
(- (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/4 binary32) (.f32 s s))) (.f32 x x) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
(- (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(fma.f32 (fma.f32 (fma.f32 (.f32 x (/.f32 x (pow.f32 s #s(literal 6 binary32)))) #s(literal -1/1440 binary32) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x) (/.f32 #s(literal -1/4 binary32) (.f32 s s))) (.f32 x x) (*.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
(/ (exp (neg (* 2 (log 2)))) s)
(/.f32 #s(literal 1/4 binary32) s)
(+ (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 3))) (/ (exp (neg (* 2 (log 2)))) s))
(/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s)
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 5))))) (/ (exp (neg (* 2 (log 2)))) s))
(fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 5 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 7))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 5))))))) (/ (exp (neg (* 2 (log 2)))) s))
(fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal -17/11520 binary32) (.f32 x x)) (pow.f32 s #s(literal 7 binary32))) (/.f32 #s(literal -1/96 binary32) (pow.f32 s #s(literal 5 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
(exp (neg (* 2 (log 2))))
#s(literal 1/4 binary32)
(+ (exp (neg (* 2 (log 2)))) (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 2))))
(fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 4))))))
(fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 6))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 4))))))))
(fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal -17/11520 binary32) (.f32 x x)) (pow.f32 s #s(literal 6 binary32))) (/.f32 #s(literal -1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(* -1/16 (pow x 2))
(.f32 #s(literal -1/16 binary32) (.f32 x x))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))
(/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s)
(* 1/16 (/ (pow x 2) (pow s 2)))
(.f32 (/.f32 #s(literal 1/16 binary32) s) (.f32 x (/.f32 x s)))
(* 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)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(/ (exp (* -1 (/ (fabs x) s))) s)
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 x s) (/.f32 #s(literal -1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/192 binary32) (.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) x (/.f32 #s(literal -1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))
(* -1/16 (/ (pow x 2) s))
(.f32 (.f32 x (/.f32 x s)) #s(literal -1/16 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))
(* x (- (* -2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s)))
(.f32 (-.f32 (.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) x) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)
(/ (exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))) s)
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))) s)
(exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s))))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
(* -1/16 (/ (pow x 2) (pow s 3)))
(.f32 (.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal 3 binary32))) x) x)
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s)) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(* -1 (* x (+ (* 2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s))))
(*.f32 (neg.f32 x) (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)))
(/ (exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s)))))))) s)
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))) s)
(exp (- (* -1 (/ x s)) (* 2 (log (+ 1 (exp (* -1 (/ x s))))))))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
(/ (+ (* -2 (* s (log (+ 1 (exp (* -1 (/ x s))))))) (* -1 x)) s)
(/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) s) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 x)) s)
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(/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) (pow.f32 s #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/16 binary32) s) (.f32 x (/.f32 x s)) #s(literal -1/4 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1 (exp (neg (* 2 (log 2))))) (+ (* -1 (/ (+ (* 1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (pow s 3))) (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2)))) s))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/12 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) (/.f32 (fma.f32 #s(literal -1/48 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -7/4 binary32) (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 13/8 binary32))) (.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/4 binary32) (.f32 x x)) #s(literal 2 binary32)))) s)) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1/16 binary32) s) (.f32 x (/.f32 x s)) #s(literal -1/4 binary32))) (neg.f32 s))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* 1/3 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3)))))
(fma.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) (pow.f32 s #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (*.f32 x x) #s(literal 1/4 binary32)))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (* -1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))))) (pow s 3)))))
(-.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) (/.f32 (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) #s(literal -1/12 binary32) (/.f32 (fma.f32 #s(literal -1/48 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -7/4 binary32) (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 13/8 binary32))) (.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/4 binary32) (*.f32 x x)) #s(literal 2 binary32)))) (neg.f32 s))) (pow.f32 s #s(literal 3 binary32))))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s))
(/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s)
(* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s))
(/.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal 1/24 binary32) (fma.f32 (/.f32 #s(literal 1/16 binary32) s) (.f32 x (/.f32 x s)) #s(literal -1/4 binary32))) (/.f32 (fma.f32 #s(literal 5/48 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (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 (-.f32 (.f32 (/.f32 #s(literal 1/16 binary32) s) (.f32 x (/.f32 x 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 #s(literal 5/48 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))))))) (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 #s(literal 5/48 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (.f32 #s(literal -1/16 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))))) (fabs.f32 x) (.f32 (.f32 #s(literal 1/4 binary32) (.f32 #s(literal -1/16 binary32) (.f32 x x))) (.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 (/ (- (* -1 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) 1/4) s))
(/.f32 (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)) s)
(* -1 (* s (- (/ (fabs x) s) 2)))
(*.f32 (neg.f32 s) (-.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 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 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)) s))
(* -1 (/ (- (/ (fabs x) s) 1) s))
(/.f32 (-.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1) s))
(/.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 (fabs.f32 x))) (neg.f32 s)) #s(literal 1 binary32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1) s))
(/.f32 (-.f32 (/.f32 (-.f32 (neg.f32 (fabs.f32 x)) (/.f32 (fma.f32 (/.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 1 binary32)) (neg.f32 s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)) s))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (*.f32 x x)) s) x)) s))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (fma.f32 (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 s))) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) (fabs.f32 x)) s))
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)) s))
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))
(.f32 (neg.f32 s) (-.f32 (.f32 (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) #s(literal 4 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 3 binary32) (.f32 x (/.f32 x s)) (*.f32 #s(literal -4 binary32) (fabs.f32 x)))) s) #s(literal 4 binary32)))
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4)))
(.f32 (neg.f32 s) (-.f32 (/.f32 (-.f32 (.f32 #s(literal -4 binary32) (fabs.f32 x)) (/.f32 (fma.f32 #s(literal -3 binary32) (.f32 x x) (.f32 #s(literal 5/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s))) s)) (neg.f32 s)) #s(literal 4 binary32)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal -3 binary32) (.f32 x (/.f32 x s)) (.f32 #s(literal 4 binary32) (fabs.f32 x))) s))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))
(-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (fma.f32 #s(literal -5/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) (.f32 #s(literal 3 binary32) (.f32 x x))) (neg.f32 s))) s))

rewrite173.0ms (2.5%)

Memory

33.7MiB live, 179.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	372
0	85	320
1	289	317
2	1893	260
0	9462	258

Stop Event

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

Counts

25 → 881

Calls

Call 1

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

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

eval128.0ms (1.8%)

Memory: -2.1MiB live, 129.6MiB allocated; 14ms collecting garbage
Compiler: Compiled 46 392 to 4 795 computations (89.7% saved)

prune66.0ms (0.9%)

Memory

3.6MiB live, 74.8MiB allocated; 42ms collecting garbage

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	896	19	915
Fresh	3	2	5
Picked	4	1	5
Done	0	0	0
Total	903	22	925

Accuracy

100.0%

Counts

925 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.7%	(/.f32 (/.f32 (exp.f32 (/.f32 x s)) (fma.f32 (exp.f32 (/.f32 x s)) s s)) (+.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)))
▶	96.5%	(/.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))))
	76.0%	(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (-.f32 (/.f32 x s) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x s)))))))) s)
	76.0%	(/.f32 (exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))) s)
	96.5%	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s)) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))))
	99.8%	(/.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)))
▶	96.2%	(/.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)))
	74.2%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (.f32 x (/.f32 x s)) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
	98.1%	(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 x (/.f32 x s)) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))))) s)
▶	99.7%	(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) s) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 x)) s))) s)
	12.4%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal -17/11520 binary32) (.f32 x x)) (pow.f32 s #s(literal 6 binary32))) (/.f32 #s(literal -1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
	18.2%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
▶	24.5%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
▶	99.8%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
	28.7%	(*.f32 (/.f32 (exp.f32 (/.f32 x s)) (fma.f32 (exp.f32 (/.f32 x s)) s s)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))))
	76.0%	(.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (-.f32 (/.f32 x s) (.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x s)))))))
	13.1%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (.f32 x x)) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) #s(literal -5/16 binary32))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
	28.7%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) x) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal -3/16 binary32) x) (*.f32 #s(literal 1/8 binary32) x)))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
	29.0%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) s) s) #s(literal -1/4 binary32)) s))
	28.9%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 #s(approx (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) (.f32 (/.f32 #s(literal 1/16 binary32) s) (.f32 x (/.f32 x s)))) #s(literal 1/4 binary32)) (neg.f32 s)))
✓	29.5%	#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))
	8.4%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) 1/4) (neg s)) (.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s)) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x))))

Compiler

Compiled 1 520 to 908 computations (40.3% saved)

simplify141.0ms (2%)

Memory

-20.6MiB live, 113.4MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	502
0	94	500
1	180	493
2	532	488
3	2214	488
0	8241	488

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.6%)

Memory

-2.2MiB live, 146.2MiB allocated; 13ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.014003759768442016	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.03191376953688403	(exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) s) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 x)) s)))
accuracy	0.03515625	(fma.f32 (*.f32 #s(literal -2 binary32) s) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 x))
accuracy	0.046875	(/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) s) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 x)) s)
accuracy	0.03191376953688403	(exp.f32 (/.f32 x s))
accuracy	0.04296875	(/.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	0.0546875	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
accuracy	17.524334499127445	#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))
accuracy	0.0	(fabs.f32 x)
accuracy	0.014003759768442016	(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))
accuracy	0.04296875	(/.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	18.300012516061937	#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 s)
accuracy	0.19390720678211854	(/.f32 #s(literal -1/16 binary32) (*.f32 s s))
accuracy	4.82845511013328	(fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))
accuracy	22.668532519072578	#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32)))
accuracy	0.01171875	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.014003759768442016	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.015625	(fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))
accuracy	0.03191376953688403	(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))

Samples

82.0ms

256×

valid

Compiler

Compiled 426 to 43 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 28.0ms (44.4% of total)

ival-div: 14.0ms (22.2% of total)

ival-exp: 9.0ms (14.3% of total)

ival-add: 4.0ms (6.3% of total)

ival-log1p: 2.0ms (3.2% of total)

ival-neg: 2.0ms (3.2% of total)

ival-fabs: 1.0ms (1.6% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

series65.0ms (0.9%)

Memory

10.9MiB live, 56.8MiB allocated; 4ms collecting garbage

Counts

27 → 163

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	s	@	0	((/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (/ -1/16 (* s s)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ 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)) (/ (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)) (/ (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) s) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (* s s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)))
12.0ms	x	@	inf	((/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (/ -1/16 (* s s)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ 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)) (/ (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)) (/ (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) s) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (* s s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)))
11.0ms	x	@	-inf	((/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (/ -1/16 (* s s)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ 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)) (/ (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)) (/ (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) s) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (* s s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)))
8.0ms	s	@	inf	((/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (/ -1/16 (* s s)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ 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)) (/ (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)) (/ (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) s) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (* s s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)))
5.0ms	s	@	-inf	((/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s))) (+ (* (log (+ 1 (exp (/ (neg x) s)))) -2) (/ (neg x) s)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (/ -1/16 (* s s)) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ 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)) (/ (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)) (/ (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) s) (exp (/ (neg x) s)) (log (+ 1 (exp (/ (neg x) s)))) (* s s) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (fabs x) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)))

simplify158.0ms (2.3%)

Memory

0.3MiB live, 138.2MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	856	4659
1	3022	3800
0	8937	3570

Stop Event

1×	iter limit
1×	node limit

Counts

163 → 163

Calls

Call 1

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

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

rewrite230.0ms (3.3%)

Memory

-13.0MiB live, 172.3MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	405
0	94	402
1	284	381
2	1866	322
0	9537	317

Stop Event

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

Counts

27 → 651

Calls

Call 1

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

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

eval103.0ms (1.5%)

Memory: 14.0MiB live, 121.4MiB allocated; 32ms collecting garbage
Compiler: Compiled 37 660 to 3 871 computations (89.7% saved)

prune28.0ms (0.4%)

Memory

9.0MiB live, 55.3MiB allocated; 3ms collecting garbage

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	775	6	781
Fresh	5	11	16
Picked	2	3	5
Done	0	1	1
Total	782	21	803

Accuracy

100.0%

Counts

803 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.7%	(/.f32 (/.f32 (exp.f32 (/.f32 x s)) (fma.f32 (exp.f32 (/.f32 x s)) s s)) (+.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)))
	75.3%	(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) (neg.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))))
▶	99.8%	(/.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)))
	74.2%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (.f32 x (/.f32 x s)) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
▶	98.1%	(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 x (/.f32 x s)) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))))) s)
✓	99.7%	(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) s) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 x)) s))) s)
▶	79.0%	(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 #s(approx (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (neg.f32 x)) s))) s)
	12.4%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal -17/11520 binary32) (.f32 x x)) (pow.f32 s #s(literal 6 binary32))) (/.f32 #s(literal -1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
	18.2%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
	28.9%	(/.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)
✓	24.5%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
	76.0%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x s)))))) s)
✓	99.8%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
	76.0%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 x s))) #s(literal -2 binary32) (/.f32 x s)))) s)
▶	5.8%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
	28.7%	(*.f32 (/.f32 (exp.f32 (/.f32 x s)) (fma.f32 (exp.f32 (/.f32 x s)) s s)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))))
▶	76.0%	(.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (-.f32 (/.f32 x s) (.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x s)))))))
	13.1%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (.f32 x x)) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) #s(literal -5/16 binary32))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
	28.7%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) x) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal -3/16 binary32) x) (*.f32 #s(literal 1/8 binary32) x)))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
✓	29.5%	#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))
	8.4%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) 1/4) (neg s)) (.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s)) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x))))

Compiler

Compiled 1 402 to 855 computations (39% saved)

simplify109.0ms (1.6%)

Memory

-23.3MiB live, 119.1MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	601
0	109	587
1	218	583
2	606	583
3	2376	581
0	8797	540

Stop Event

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

Calls

Call 1

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

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

localize369.0ms (5.3%)

Memory

43.3MiB live, 322.1MiB allocated; 32ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (-.f32 (/.f32 x s) (.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x s)))))))
accuracy	0.03191376953688403	(exp.f32 (/.f32 x s))
accuracy	0.03191376953688403	(exp.f32 (-.f32 (/.f32 x s) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))))))
accuracy	2.450701949330674	(log1p.f32 (exp.f32 (/.f32 x s)))
accuracy	0.03191376953688403	(exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 x (/.f32 x s)) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))))
accuracy	0.049160009768442016	(fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 x (/.f32 x s)) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
accuracy	0.0703125	(*.f32 x (/.f32 x s))
accuracy	2.7575686354087643	#s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 x (/.f32 x s)) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))))
accuracy	0.0	#s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 #s(approx (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (neg.f32 x)) s))
accuracy	0.03191376953688403	(exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 #s(approx (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (neg.f32 x)) s)))
accuracy	0.046875	(/.f32 #s(approx (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (neg.f32 x)) s)
accuracy	7.767994553596072	#s(approx (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (neg.f32 x))
accuracy	0.827768797040005	(.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s))
accuracy	2.6510884818322022	(/.f32 (*.f32 x x) s)
accuracy	3.214689791523712	#s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s))))
accuracy	8.742862097753935	#s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))
accuracy	0.014003759768442016	(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
accuracy	0.01953125	(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))
accuracy	0.04296875	(/.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)))
accuracy	0.05859375	(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))

Samples

293.0ms	161×	5	exit
38.0ms	95×	0	valid

Compiler

Compiled 423 to 58 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 282.0ms

ival-log1p: 104.0ms (36.8% of total)

adjust: 80.0ms (28.3% of total)

ival-mult: 30.0ms (10.6% of total)

ival-div: 26.0ms (9.2% of total)

ival-exp: 16.0ms (5.7% of total)

ival-add: 8.0ms (2.8% of total)

ival-sub: 6.0ms (2.1% of total)

ival-pow2: 4.0ms (1.4% of total)

ival-log: 3.0ms (1.1% of total)

ival-neg: 3.0ms (1.1% of total)

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

exact: 1.0ms (0.4% of total)

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

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

series81.0ms (1.2%)

Memory

-28.4MiB live, 112.2MiB allocated; 22ms collecting garbage

Counts

28 → 136

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	s	@	0	((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (* (/ -1/16 s) (/ (* x 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)) (/ (+ (* (* -2 s) (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) (* 2 (log (+ 1 (exp (/ x s)))))))) (- (/ x s) (* 2 (log (+ 1 (exp (/ x s)))))) (/ 1 s) (exp (- (/ x s) (* 2 (log (+ 1 (exp (/ x s))))))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1) (exp (/ (fabs x) (neg s))) (/ (* x x) s) (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (* x (/ x s)) (log (+ 1 (exp (/ x s)))) (exp (/ x s)))
18.0ms	x	@	-inf	((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (* (/ -1/16 s) (/ (* x 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)) (/ (+ (* (* -2 s) (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) (* 2 (log (+ 1 (exp (/ x s)))))))) (- (/ x s) (* 2 (log (+ 1 (exp (/ x s)))))) (/ 1 s) (exp (- (/ x s) (* 2 (log (+ 1 (exp (/ x s))))))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1) (exp (/ (fabs x) (neg s))) (/ (* x x) s) (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (* x (/ x s)) (log (+ 1 (exp (/ x s)))) (exp (/ x s)))
12.0ms	x	@	inf	((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (* (/ -1/16 s) (/ (* x 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)) (/ (+ (* (* -2 s) (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) (* 2 (log (+ 1 (exp (/ x s)))))))) (- (/ x s) (* 2 (log (+ 1 (exp (/ x s)))))) (/ 1 s) (exp (- (/ x s) (* 2 (log (+ 1 (exp (/ x s))))))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1) (exp (/ (fabs x) (neg s))) (/ (* x x) s) (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (* x (/ x s)) (log (+ 1 (exp (/ x s)))) (exp (/ x s)))
12.0ms	x	@	0	((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (* (/ -1/16 s) (/ (* x 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)) (/ (+ (* (* -2 s) (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) (* 2 (log (+ 1 (exp (/ x s)))))))) (- (/ x s) (* 2 (log (+ 1 (exp (/ x s)))))) (/ 1 s) (exp (- (/ x s) (* 2 (log (+ 1 (exp (/ x s))))))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1) (exp (/ (fabs x) (neg s))) (/ (* x x) s) (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (* x (/ x s)) (log (+ 1 (exp (/ x s)))) (exp (/ x s)))
10.0ms	s	@	-inf	((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (/ (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) s) (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (* (/ -1/16 s) (/ (* x 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)) (/ (+ (* (* -2 s) (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) (* 2 (log (+ 1 (exp (/ x s)))))))) (- (/ x s) (* 2 (log (+ 1 (exp (/ x s)))))) (/ 1 s) (exp (- (/ x s) (* 2 (log (+ 1 (exp (/ x s))))))) (pow (+ (exp (/ (fabs x) (neg s))) 1) 2) (+ (exp (/ (fabs x) (neg s))) 1) (exp (/ (fabs x) (neg s))) (/ (* x x) s) (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (* x (/ x s)) (log (+ 1 (exp (/ x s)))) (exp (/ x s)))

simplify199.0ms (2.8%)

Memory

5.9MiB live, 197.0MiB allocated; 42ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	615	4058
1	2097	3036
0	8875	2822

Stop Event

1×	iter limit
1×	node limit

Counts

136 → 136

Calls

Call 1

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

Outputs
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(exp (* -1 (/ (fabs x) s)))
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))
(* -1 (/ (fabs x) s))
(/.f32 (fabs.f32 x) (neg.f32 s))
(* -1 (fabs x))
(neg.f32 (fabs.f32 x))
(/ (exp (neg (* 2 (log 2)))) s)
(/.f32 #s(literal 1/4 binary32) s)
(+ (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 3))) (/ (exp (neg (* 2 (log 2)))) s))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/4 binary32) s))
(+ (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 5))))) (/ (exp (neg (* 2 (log 2)))) s))
(fma.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal 1/96 binary32) (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) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 3))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 7))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 5))))))) (/ (exp (neg (* 2 (log 2)))) s))
(fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 5 binary32))) (/.f32 (.f32 #s(literal -17/11520 binary32) (.f32 x x)) (pow.f32 s #s(literal 7 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x) (/.f32 #s(literal 1/4 binary32) s))
(exp (neg (* 2 (log 2))))
#s(literal 1/4 binary32)
(+ (exp (neg (* 2 (log 2)))) (* -1/4 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 2))))
(fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* 1/24 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 4))))))
(fma.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))
(+ (exp (neg (* 2 (log 2)))) (* (pow x 2) (+ (* -1/4 (/ (exp (neg (* 2 (log 2)))) (pow s 2))) (* (pow x 2) (+ (* -17/2880 (/ (* (pow x 2) (exp (neg (* 2 (log 2))))) (pow s 6))) (* 1/24 (/ (exp (neg (* 2 (log 2)))) (pow s 4))))))))
(fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) (/.f32 (.f32 #s(literal -17/11520 binary32) (.f32 x x)) (pow.f32 s #s(literal 6 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))
(fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s)) #s(literal 1/4 binary32))
(* -1/16 (/ (pow x 2) (pow s 2)))
(.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s))
(* -2 (log 2))
(*.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))
(- (* -1/4 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))
(fma.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 (.f32 x x) s) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
(- (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(fma.f32 (-.f32 (.f32 (.f32 x x) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (.f32 s s))) (.f32 x x) (*.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
(- (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))) (* 2 (log 2)))
(fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 (.f32 x x) (pow.f32 s #s(literal 6 binary32))) #s(literal -1/1440 binary32) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x)) (/.f32 #s(literal 1/4 binary32) (.f32 s s))) (.f32 x x) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
(+ (* -2 (log 2)) (* -1/4 (/ (pow x 2) (pow s 2))))
(fma.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 (.f32 x x) s) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
(+ (* -2 (log 2)) (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))))
(fma.f32 (-.f32 (.f32 (.f32 x x) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (.f32 s s))) (.f32 x x) (*.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
(+ (* -2 (log 2)) (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/4 (/ 1 (pow s 2))))))
(fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 (.f32 x x) (pow.f32 s #s(literal 6 binary32))) #s(literal -1/1440 binary32) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x)) (/.f32 #s(literal 1/4 binary32) (.f32 s s))) (.f32 x x) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32)))
(pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)
(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))
(+ 1 (exp (* -1 (/ (fabs x) s))))
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))
(/ (pow x 2) s)
(/.f32 (*.f32 x x) s)
(* -2 (* s (log 2)))
(.f32 (.f32 (log.f32 #s(literal 2 binary32)) s) #s(literal -2 binary32))
(+ (* -2 (* s (log 2))) (* -1/4 (/ (pow x 2) s)))
(fma.f32 #s(literal -1/4 binary32) (/.f32 (.f32 x x) s) (.f32 (*.f32 (log.f32 #s(literal 2 binary32)) s) #s(literal -2 binary32)))
(+ (* -2 (* s (log 2))) (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (.f32 s #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)) (.f32 (-.f32 (/.f32 (.f32 #s(literal 1/96 binary32) (.f32 x x)) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/4 binary32) s)) (*.f32 x x)))
(+ (* -2 (* s (log 2))) (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow s 5))) (* 1/96 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (.f32 s #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)) (.f32 (-.f32 (.f32 (fma.f32 (/.f32 (.f32 x x) (pow.f32 s #s(literal 5 binary32))) #s(literal -1/1440 binary32) (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x)) (/.f32 #s(literal 1/4 binary32) s)) (.f32 x x)))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* 1/2 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (+ (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.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)))
(+ (log 2) (* x (+ (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/192 binary32) (/.f32 (.f32 x x) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) x (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(+ 1 (/ x s))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(/ (exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s)))) s)
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s))) s)
(exp (neg (+ (* 2 (log (+ 1 (exp (* -1 (/ x s)))))) (/ x s))))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))
(.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 1/16 binary32) (.f32 s s))) (.f32 x x))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* x (- (* -2 (/ (log (+ 1 (exp (* -1 (/ x s))))) x)) (/ 1 s)))
(.f32 (-.f32 (.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) x) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)
(* -1/4 (/ (pow x 2) (pow s 2)))
(.f32 (/.f32 #s(literal -1/4 binary32) s) (/.f32 (.f32 x x) s))
(* (pow x 2) (- (* -2 (/ (log 2) (pow x 2))) (* 1/4 (/ 1 (pow s 2)))))
(.f32 (-.f32 (.f32 (/.f32 (log.f32 #s(literal 2 binary32)) x) (/.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 s s))) (.f32 x x))
(/ (exp (- (/ x s) (* 2 (log (+ 1 (exp (/ x s))))))) s)
(/.f32 (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 x s))) #s(literal -2 binary32) (/.f32 x s))) s)
(/ x s)
(/.f32 x s)
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#s(literal 4 binary32)
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#s(literal 2 binary32)
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(- (* -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 (+ (* -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)))))
(fma.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32) (neg.f32 (fma.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -7/4 binary32) (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 13/8 binary32))) s) #s(literal 1/12 binary32) (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) #s(literal -1/3 binary32))) (pow.f32 s #s(literal 3 binary32))))))
(+ (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)))))
(fma.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) (pow.f32 s #s(literal 3 binary32))) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)) #s(literal 1/4 binary32)))
(+ (exp (neg (* 2 (log 2)))) (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (pow s 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (* 2 (log 2)))) (+ (* -1/12 (+ (* -1 (pow x 4)) (+ (* -3/4 (pow x 4)) (+ (* -3/8 (pow x 4)) (+ (* 1/2 (pow x 4)) (* 3/2 (pow x 4))))))) (* 1/2 (pow (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) 2)))) s)) (* -1/3 (* (exp (neg (* 2 (log 2)))) (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))))) (pow s 3)))))
(-.f32 (fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s 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 (fma.f32 #s(literal -1/48 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -7/4 binary32) (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 13/8 binary32))) (.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 2 binary32)))) (neg.f32 s))) (pow.f32 s #s(literal 3 binary32))))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s)))
(-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (.f32 #s(literal -3 binary32) (.f32 x x)) s)) s))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s)))
(-.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (fma.f32 #s(literal 3 binary32) (.f32 x x) (/.f32 (.f32 #s(literal -5/3 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) s)) (neg.f32 s))) s))
(+ 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 #s(literal 2 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)) s))
(* -1 (* s (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2))))))
(.f32 (neg.f32 s) (fma.f32 (.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/4 binary32) (*.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))
(* -1 (* 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 (neg.f32 s) (fma.f32 (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/3 binary32) (fma.f32 (.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/4 binary32) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))))
(* -1 (* s (+ (* -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 (neg.f32 s) (fma.f32 (.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/4 binary32) (fma.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32) (/.f32 (neg.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -7/4 binary32) (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 13/8 binary32))) s) #s(literal -1/12 binary32) (.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) #s(literal -1/3 binary32)))) (pow.f32 s #s(literal 3 binary32))))))
(+ (log 2) (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) x)) s))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* -1/2 x)) s)))
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) x (/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 x x) (.f32 (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) s) #s(literal -1/6 binary32))) (neg.f32 s))) s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 x x) s)) x) s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (neg.f32 s)) x) s))

rewrite159.0ms (2.3%)

Memory

-7.6MiB live, 137.4MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	500
0	109	495
1	374	465
2	2529	390
0	9088	367

Stop Event

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

Counts

28 → 524

Calls

Call 1

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

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

eval90.0ms (1.3%)

Memory: 27.0MiB live, 71.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 26 269 to 2 880 computations (89% saved)

prune32.0ms (0.5%)

Memory

-12.4MiB live, 34.4MiB allocated; 2ms collecting garbage

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	591	4	595
Fresh	1	11	12
Picked	3	2	5
Done	0	4	4
Total	595	21	616

Accuracy

100.0%

Counts

616 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.7%	(/.f32 (/.f32 (exp.f32 (/.f32 x s)) (fma.f32 (exp.f32 (/.f32 x s)) s s)) (+.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)))
	75.3%	(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) (neg.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))))
	76.0%	(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x s))) s)
	99.8%	(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
	74.2%	(/.f32 (exp.f32 (-.f32 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (.f32 x (/.f32 x s)) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
	98.1%	(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) (log.f32 #s(literal 1/4 binary32))))) s)
✓	99.7%	(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) s) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 x)) s))) s)
✓	79.0%	(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 #s(approx (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (neg.f32 x)) s))) s)
	12.4%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal -17/11520 binary32) (.f32 x x)) (pow.f32 s #s(literal 6 binary32))) (/.f32 #s(literal -1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
	18.2%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
	28.9%	(/.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)
✓	24.5%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
	76.0%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x s)))))) s)
✓	99.8%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
✓	5.8%	(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
	28.7%	(*.f32 (/.f32 (exp.f32 (/.f32 x s)) (fma.f32 (exp.f32 (/.f32 x s)) s s)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))))
	76.0%	(*.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 x s))) #s(literal -2 binary32) (/.f32 x s))))
	13.1%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (.f32 x x)) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) #s(literal -5/16 binary32))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
	28.7%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) x) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal -3/16 binary32) x) (*.f32 #s(literal 1/8 binary32) x)))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
✓	29.5%	#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))
	8.4%	#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) 1/4) (neg s)) (.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s)) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x))))

Compiler

Compiled 2 095 to 732 computations (65.1% saved)

regimes69.0ms (1%)

Memory

-2.2MiB live, 43.0MiB allocated; 4ms collecting garbage

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) s) 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(approx (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) (.f32 (/.f32 #s(literal 1/16 binary32) s) (.f32 x (/.f32 x s)))) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.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 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (.f32 x x)) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) #s(literal -5/16 binary32))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) x) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal -3/16 binary32) x) (*.f32 #s(literal 1/8 binary32) x)))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 #s(approx (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (neg.f32 x)) s))) 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)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) 1/4) (neg s)) (.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s)) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) (neg.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 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) (log.f32 #s(literal 1/4 binary32))))) s)
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 x (/.f32 x s)) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s 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))) #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 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (.f32 x (/.f32 x s)) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal -17/11520 binary32) (.f32 x x)) (pow.f32 s #s(literal 6 binary32))) (/.f32 #s(literal -1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 x s))) #s(literal -2 binary32) (/.f32 x s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x s))) s)
(/.f32 (exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
(*.f32 (/.f32 #s(literal 1 binary32) s) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 x s))) #s(literal -2 binary32) (/.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 (-.f32 (/.f32 x s) (.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x s)))))))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) s) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 x)) s))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x s)))))) s)
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (-.f32 (/.f32 x s) (*.f32 #s(literal 2 binary32) (log1p.f32 (exp.f32 (/.f32 x s)))))))) s)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (/.f32 (exp.f32 (/.f32 x s)) (fma.f32 (exp.f32 (/.f32 x s)) s s)) (+.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)))
(*.f32 (/.f32 (exp.f32 (/.f32 x s)) (fma.f32 (exp.f32 (/.f32 x s)) s s)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (neg.f32 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 (neg.f32 (fabs.f32 x)) s)) (.f32 (+.f32 (+.f32 s (.f32 (cosh.f32 (/.f32 x s)) s)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

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

Calls

5 calls:

31.0ms	(neg.f32 (fabs.f32 x))
10.0ms	(fabs.f32 x)
10.0ms	s
10.0ms	x
7.0ms	(/.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
99.8%	1	`(fabs.f32 x)`
99.8%	1	`(neg.f32 (fabs.f32 x))`
99.8%	1	`(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))`
99.8%	1	`x`
99.8%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes58.0ms (0.8%)

Memory

-12.9MiB live, 38.0MiB allocated; 8ms collecting garbage

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) s) 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(approx (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) (.f32 (/.f32 #s(literal 1/16 binary32) s) (.f32 x (/.f32 x s)))) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.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 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (.f32 x x)) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) #s(literal -5/16 binary32))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) x) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal -3/16 binary32) x) (*.f32 #s(literal 1/8 binary32) x)))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 #s(approx (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (neg.f32 x)) s))) 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)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) 1/4) (neg s)) (.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s)) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) (neg.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 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) (log.f32 #s(literal 1/4 binary32))))) s)
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 #s(literal -1/4 binary32) s) (.f32 x (/.f32 x s)) (.f32 (log.f32 #s(literal 2 binary32)) #s(literal -2 binary32))))) s)
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 #s(approx ( s (+ 1 (exp (/ (neg (fabs x)) s)))) (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s 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))) #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 (/.f32 (neg.f32 x) s) (.f32 #s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (.f32 x (/.f32 x s)) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal -17/11520 binary32) (.f32 x x)) (pow.f32 s #s(literal 6 binary32))) (/.f32 #s(literal -1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (.f32 x x) (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 x s))) #s(literal -2 binary32) (/.f32 x s)))) s)
(/.f32 (exp.f32 (fma.f32 #s(literal -2 binary32) (log1p.f32 (exp.f32 (/.f32 x s))) (/.f32 x s))) s)
(/.f32 (exp.f32 (fma.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) #s(literal 2 binary32) (/.f32 x s))) s)

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

Calls

5 calls:

32.0ms	(neg.f32 (fabs.f32 x))
7.0ms	(fabs.f32 x)
7.0ms	s
6.0ms	x
5.0ms	(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (.f32 (.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))

Results

Accuracy	Segments	Branch
98.1%	1	`(fabs.f32 x)`
98.1%	1	`(neg.f32 (fabs.f32 x))`
98.1%	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)))))`
98.1%	1	`x`
98.1%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes22.0ms (0.3%)

Memory

29.2MiB live, 29.2MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) s) 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(approx (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) (.f32 (/.f32 #s(literal 1/16 binary32) s) (.f32 x (/.f32 x s)))) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.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 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (.f32 x x)) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) #s(literal -5/16 binary32))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) x) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal -3/16 binary32) x) (*.f32 #s(literal 1/8 binary32) x)))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 #s(approx (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (neg.f32 x)) s))) 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)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(approx (/ (- (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) 1/4) (neg s)) (.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s)) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x))))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) (neg.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))))

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

Calls

5 calls:

4.0ms	s
4.0ms	x
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
96.2%	1	`(fabs.f32 x)`
96.2%	1	`(neg.f32 (fabs.f32 x))`
96.2%	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)))))`
96.2%	1	`x`
96.2%	1	`s`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes42.0ms (0.6%)

Memory

-21.6MiB live, 24.6MiB allocated; 2ms collecting garbage

Counts

11 → 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))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) s) 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(approx (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) (.f32 (/.f32 #s(literal 1/16 binary32) s) (.f32 x (/.f32 x s)))) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.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 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (.f32 x x)) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) #s(literal -5/16 binary32))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) x) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal -3/16 binary32) x) (*.f32 #s(literal 1/8 binary32) x)))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 #s(approx (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (neg.f32 x)) s))) s)

Outputs

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

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

Calls

5 calls:

29.0ms	x
3.0ms	(fabs.f32 x)
3.0ms	s
3.0ms	(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
88.2%	2	`(fabs.f32 x)`
88.2%	2	`x`
79.0%	1	`s`
88.2%	2	`(neg.f32 (fabs.f32 x))`
98.1%	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)))))`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

29.8MiB live, 29.8MiB allocated; 0ms collecting garbage

Accuracy

Total -8.8b remaining (-39%)

Threshold costs -8.8b (-39%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 #s(literal -1/16 binary32) (.f32 s s)) (.f32 x x) #s(literal 1/4 binary32))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(approx (+ (* (/ -1/16 (* s s)) (* x x)) 1/4) (.f32 (/.f32 #s(literal -1/16 binary32) s) (/.f32 (.f32 x x) s)))) s)
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (fma.f32 (/.f32 (*.f32 #s(literal -1/16 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))) s)
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) s) 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(approx (/ (/ (+ (* -3/16 (* x x)) (* 1/8 (* x x))) s) (neg s)) (.f32 (/.f32 #s(literal 1/16 binary32) s) (.f32 x (/.f32 x s)))) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.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 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -3/16 binary32) (.f32 x x) (.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (.f32 x x)) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) #s(literal -5/16 binary32))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) x) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal -3/16 binary32) x) (*.f32 #s(literal 1/8 binary32) x)))) s) (neg.f32 s)) #s(literal 1/4 binary32)) (neg.f32 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:

3.0ms	(neg.f32 (fabs.f32 x))
3.0ms	(fabs.f32 x)
3.0ms	x
3.0ms	s
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
29.5%	1	`s`
29.5%	1	`(fabs.f32 x)`
29.5%	1	`x`
29.5%	1	`(neg.f32 (fabs.f32 x))`
29.5%	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)))))`

Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.01886327564716339	0.3280019164085388

Compiler

Compiled 29 to 16 computations (44.8% saved)

simplify147.0ms (2.1%)

Memory

-28.0MiB live, 57.3MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	230
1	135	229
2	351	226
3	1233	226
4	7008	226

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) (log.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)))
(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 5368709/268435456 binary32)) (/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 #s(approx (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (neg.f32 x)) s))) s) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) s) s) #s(literal -1/4 binary32)) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))

Outputs
(/.f32 #s(approx (exp (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32) (/.f32 (neg.f32 x) s)))) s)
(/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) (log.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)))
(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 5368709/268435456 binary32)) (/.f32 (exp.f32 #s(approx (- (/ (neg x) s) (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (/.f32 #s(approx (+ (* (* -2 s) (log (+ 1 (exp (/ (neg x) s))))) (neg x)) (neg.f32 x)) s))) s) #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (/.f32 (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) s) s) #s(literal -1/4 binary32)) s)))
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s))

derivations906.0ms (13%)

Memory

23.0MiB live, 640.0MiB allocated; 76ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	1035
1	781	877
2	3017	863
0	8228	814
0	72	500
0	109	495
1	374	465
2	2529	390
0	9088	367
0	50	372
0	85	320
1	289	317
2	1893	260
0	9462	258
0	578	3012
1	1940	2219
0	8829	2079
0	856	4659
1	3022	3800
0	8937	3570
0	11	74
0	19	74
1	69	60
2	481	52
3	5851	52
0	8523	51

Stop Event

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

Compiler

Compiled 230 to 74 computations (67.8% saved)

preprocess31.0ms (0.4%)

Memory: 1.1MiB live, 47.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 576 to 212 computations (63.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze71.0ms (1%)

sample1.8s (25.6%)

explain154.0ms (2.2%)

preprocess151.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify107.0ms (1.5%)

localize27.0ms (0.4%)

series41.0ms (0.6%)

simplify152.0ms (2.2%)

rewrite202.0ms (2.9%)

eval137.0ms (2%)

prune19.0ms (0.3%)

simplify147.0ms (2.1%)

localize126.0ms (1.8%)

series171.0ms (2.4%)

simplify161.0ms (2.3%)

rewrite173.0ms (2.5%)

eval128.0ms (1.8%)

prune66.0ms (0.9%)

simplify141.0ms (2%)

localize114.0ms (1.6%)

series65.0ms (0.9%)

simplify158.0ms (2.3%)

rewrite230.0ms (3.3%)

eval103.0ms (1.5%)

prune28.0ms (0.4%)

simplify109.0ms (1.6%)

localize369.0ms (5.3%)

series81.0ms (1.2%)

simplify199.0ms (2.8%)

rewrite159.0ms (2.3%)

eval90.0ms (1.3%)

prune32.0ms (0.5%)

regimes69.0ms (1%)

regimes58.0ms (0.8%)

regimes22.0ms (0.3%)

regimes42.0ms (0.6%)

regimes16.0ms (0.2%)

bsearch1.0ms (0%)

simplify147.0ms (2.1%)

derivations906.0ms (13%)

preprocess31.0ms (0.4%)

end0.0ms (0%)

Profiling