Metrics for Logistic function

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze39.0ms (0.5%)

Memory

18.0MiB live, 56.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	24.7%	75.3%	0%	0%	0%	0
0%	0%	24.7%	75.3%	0%	0%	0%	1
0%	0%	24.7%	75.3%	0%	0%	0%	2
0%	0%	24.7%	75.3%	0%	0%	0%	3
0%	0%	24.7%	75.3%	0%	0%	0%	4
50%	12.4%	12.4%	75.3%	0%	0%	0%	5
50%	12.4%	12.4%	75.3%	0%	0%	0%	6
75%	18.5%	6.2%	75.3%	0%	0%	0%	7
75%	18.5%	6.2%	75.3%	0%	0%	0%	8
87.5%	21.6%	3.1%	75.3%	0%	0%	0%	9
87.5%	21.6%	3.1%	75.3%	0%	0%	0%	10
93.7%	23.2%	1.5%	75.3%	0%	0%	0%	11
93.7%	23.2%	1.5%	75.3%	0%	0%	0%	12

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.3s (16.7%)

Memory

-44.8MiB live, 1 474.3MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 847.0ms

ival-div: 419.0ms (49.4% of total)

ival-exp: 124.0ms (14.6% of total)

const: 124.0ms (14.6% of total)

ival-<=: 54.0ms (6.4% of total)

ival-add: 52.0ms (6.1% of total)

ival-neg: 48.0ms (5.7% of total)

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

exact: 11.0ms (1.3% of total)

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

Bogosity

explain101.0ms (1.3%)

Memory

-27.8MiB live, 184.1MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`s`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
3	(-6.312761945126422e-12 9.807867341091007e-15)	-	`(exp.f32 (/.f32 (neg.f32 x) s))`
0	-	-	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
0	-	-	`(neg.f32 x)`
0	-	-	`(/.f32 (neg.f32 x) s)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 x) s))`	sensitivity	3	4

Confusion

	Predicted +	Predicted -
+	0	1
-	3	252

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	0
-	3	3	249

Precision?

0.14285714285714285

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 8.0ms (45.7% of total)

ival-exp: 4.0ms (22.9% of total)

ival-neg: 3.0ms (17.1% of total)

ival-add: 2.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess122.0ms (1.5%)

Memory

31.2MiB live, 221.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify127.0ms (1.6%)

Memory

-28.5MiB live, 126.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	13	30
1	21	30
2	40	30
3	96	30
4	276	30
5	2327	30
0	8067	30

Stop Event

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

Calls

Call 1

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

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

localize23.0ms (0.3%)

Memory

3.5MiB live, 40.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f32 x)
accuracy	0.02734375	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.03125	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy	0.06286233258171817	(exp.f32 (/.f32 (neg.f32 x) s))

Samples

17.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (34.9% of total)

ival-neg: 4.0ms (34.9% of total)

ival-exp: 2.0ms (17.5% of total)

ival-add: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

5 → 29

Calls

Call 1

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

Outputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (/ x s))
(* -1 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
2.0ms	s	@	0	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
2.0ms	x	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
1.0ms	s	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
1.0ms	x	@	-inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))

simplify180.0ms (2.3%)

Memory

4.0MiB live, 213.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (/ x s))
(* -1 x)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))

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

rewrite219.0ms (2.8%)

Memory

-22.7MiB live, 223.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 452

Calls

Call 1

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

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

eval87.0ms (1.1%)

Memory: 16.2MiB live, 89.6MiB allocated
Compiler: Compiled 17 059 to 1 687 computations (90.1% saved)

prune20.0ms (0.3%)

Memory

2.5MiB live, 48.2MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	459	14	473
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	459	15	474

Accuracy

99.8%

Counts

474 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
	12.3%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (neg.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
▶	60.3%	(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
▶	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
	99.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
	40.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
▶	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
▶	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	75.8%	(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
▶	36.7%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 539 to 406 computations (24.7% saved)

simplify184.0ms (2.3%)

Memory

-28.1MiB live, 170.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(cosh.f32 (/.f32 x s))
cost-diff	0	(+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
cost-diff	4	(-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s)))
cost-diff	0	(-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
cost-diff	0	(fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
cost-diff	0	(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)
cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
cost-diff	0	(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
cost-diff	0	(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
cost-diff	8	(*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	340
0	70	308
1	126	308
2	307	308
3	961	308
4	3697	308
0	8260	308

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (1.8%)

Memory

32.3MiB live, 192.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.03125	(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
accuracy	0.06601606274600569	(cosh.f32 (/.f32 x s))
accuracy	0.08164106274600569	(sinh.f32 (/.f32 x s))
accuracy	0.6155437715959793	(-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s)))
accuracy	2.5205632918329712	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))
accuracy	2.782449826581128	(.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x)
accuracy	17.821778207267208	(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	18.431171859429103	(fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
accuracy	0.03515625	(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)
accuracy	0.0625	(*.f32 (/.f32 x s) x)
accuracy	3.5041148899667034	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)))
accuracy	17.345532861495347	(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x)
accuracy	11.634427584648309	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy	0.03125	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
accuracy	0.06286233258171817	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.06640625	(*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy	0.10915325982919469	(sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s)))

Samples

73.0ms	96×	1	exit
39.0ms	155×	0	valid
3.0ms	5×	1	valid

Compiler

Compiled 283 to 38 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 50.0ms (50.4% of total)

ival-div: 12.0ms (12.1% of total)

ival-add: 9.0ms (9.1% of total)

adjust: 7.0ms (7.1% of total)

const: 7.0ms (7.1% of total)

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

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series69.0ms (0.9%)

Memory

-25.9MiB live, 92.7MiB allocated

Counts

23 → 130

Calls

Call 1

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

Outputs
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (* -1/2 (/ x s)))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))
(+ 2 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))
(+ 1 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))
x
(* x (+ 1 (* -1/2 (/ x s))))
(/ (pow x 2) s)
(+ 1/2 (* -1/6 (/ x s)))
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* x (+ (* 1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))
(* x (+ (* (pow x 2) (+ (* 1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/5040 (/ (pow x 2) (pow s 7))) (* 1/120 (/ 1 (pow s 5))))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))
(exp (* -1 (/ x s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(sqrt (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))))
(/ 1 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
(+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))))
(* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))
(* -1/2 (/ (pow x 2) s))
(* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/2 (pow x 2)) (* s x)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1/2 (/ x s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ x s)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2))))))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(+ 2 (* -1/2 (/ (- x (* -1 x)) s)))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2)))))
(- (+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) (+ (* 1/2 (/ (- x (* -1 x)) s)) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))))))
(+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (pow s 2)))) (* -1/8 (/ (- x (* -1 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* 1/4 (* (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- x (* -1 x)))) (* 1/4 (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))) (pow s 3)))) (+ (* -1/8 (/ (- x (* -1 x)) s)) (+ (* -1/32 (/ (pow (- x (* -1 x)) 2) (pow s 2))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (pow s 2))))))
(+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+ x (* -1/2 (/ (pow x 2) s)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(* 1/2 (/ (- x (* -1 x)) s))
(/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))) s)
(/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s)
(/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 3))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s)
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) s)) (* 1/2 x)) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(+ 2 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (pow x 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))
(+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) s)) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (* -1/8 (- (* -1 x) x))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (- (* -1 x) x) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (+ (* 1/4 (/ (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- (* -1 x) x)) s)) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)))) (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* -1/8 (- (* -1 x) x))) s)))
(+ 2 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(* -1/2 (/ (- (* -1 x) x) s))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) s)) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	x	@	-inf	((* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (cosh (/ x s)) 1) (cosh (/ x s)) (exp (/ (neg x) s)) (+ (* -1/2 (* (/ x s) x)) x) (* (/ x s) x) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (sinh (/ x s)))
9.0ms	s	@	-inf	((* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (cosh (/ x s)) 1) (cosh (/ x s)) (exp (/ (neg x) s)) (+ (* -1/2 (* (/ x s) x)) x) (* (/ x s) x) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (sinh (/ x s)))
8.0ms	x	@	0	((* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (cosh (/ x s)) 1) (cosh (/ x s)) (exp (/ (neg x) s)) (+ (* -1/2 (* (/ x s) x)) x) (* (/ x s) x) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (sinh (/ x s)))
7.0ms	s	@	inf	((* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (cosh (/ x s)) 1) (cosh (/ x s)) (exp (/ (neg x) s)) (+ (* -1/2 (* (/ x s) x)) x) (* (/ x s) x) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (sinh (/ x s)))
6.0ms	x	@	inf	((* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (/ 1 (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))))) (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (sqrt (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 2) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (cosh (/ x s)) 1) (cosh (/ x s)) (exp (/ (neg x) s)) (+ (* -1/2 (* (/ x s) x)) x) (* (/ x s) x) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (sinh (/ x s)))

simplify330.0ms (4.2%)

Memory

3.4MiB live, 230.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	592	3042
1	2069	2519
0	8782	2338

Stop Event

1×	iter limit
1×	node limit

Counts

130 → 129

Calls

Call 1

Inputs
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (* -1/2 (/ x s)))
(+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 2 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))
(+ 2 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))
(+ 1 (* 1/2 (/ (pow x 2) (pow s 2))))
(+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2))))))
x
(* x (+ 1 (* -1/2 (/ x s))))
(/ (pow x 2) s)
(+ 1/2 (* -1/6 (/ x s)))
(* 1/2 (/ x (pow s 2)))
(* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* x (+ (* 1/6 (/ (pow x 2) (pow s 3))) (/ 1 s)))
(* x (+ (* (pow x 2) (+ (* 1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/5040 (/ (pow x 2) (pow s 7))) (* 1/120 (/ 1 (pow s 5))))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s)))
(exp (* -1 (/ x s)))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(sqrt (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s))))))
(/ 1 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
(+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))))
(* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))
(* -1/2 (/ (pow x 2) s))
(* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/2 (pow x 2)) (* s x)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
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(+ 1 (+ (* -1/2 (/ x s)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) (pow s 2))))))
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(+ x (* -1/2 (/ (pow x 2) s)))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(* 1/2 (/ (- x (* -1 x)) s))
(/ (+ (* 1/2 (- x (* -1 x))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))) s)
(/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s)
(/ (+ (* 1/2 (- x (* -1 x))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 3))) (+ (* 1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s)
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
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(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))) s)) (* 1/2 x)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (* x (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (* 1/4 (pow x 2))))) s)) (* 1/2 x)) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(+ 2 (* 1/2 (/ (- (* -1 x) x) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (pow x 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s)))
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(+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) s)) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (* -1/8 (- (* -1 x) x))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (- (* -1 x) x) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (+ (* 1/4 (/ (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- (* -1 x) x)) s)) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)))) (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* -1/8 (- (* -1 x) x))) s)))
(+ 2 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))
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(* -1/2 (/ (- (* -1 x) x) s))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- (* -1 x) x))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) s)) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- (* -1 x) x))) s))

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

rewrite227.0ms (2.9%)

Memory

11.9MiB live, 151.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	291
0	70	259
1	256	259
2	1784	251
0	8414	251

Stop Event

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

Counts

23 → 613

Calls

Call 1

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

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

eval92.0ms (1.2%)

Memory: -14.4MiB live, 106.3MiB allocated
Compiler: Compiled 19 819 to 2 994 computations (84.9% saved)

prune45.0ms (0.6%)

Memory

3.0MiB live, 117.8MiB allocated

Pruning

48 alts after pruning (44 fresh and 4 done)

	Pruned	Kept	Total
New	554	38	592
Fresh	3	6	9
Picked	2	3	5
Done	0	1	1
Total	559	48	607

Accuracy

99.8%

Counts

607 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
	12.3%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (neg.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
✓	60.3%	(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
▶	99.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) (neg.f32 s)) (.f32 s #s(literal -1 binary32))) (.f32 (neg.f32 s) s)) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 x (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (.f32 (neg.f32 s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 s)) (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
	53.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s)) (/.f32 x s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (/.f32 x s) (/.f32 x s)))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (/.f32 x s) x) s) (/.f32 x s)))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x x) s))))
	41.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) (neg.f32 (neg.f32 s)) (.f32 s x)) (.f32 s (neg.f32 (neg.f32 s)))))))
	41.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s (.f32 s x)) (.f32 s s)))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))))
	41.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) (neg.f32 (neg.f32 s)) (.f32 (neg.f32 s) x)) (.f32 (neg.f32 s) s)))))
▶	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))))
▶	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x (neg.f32 x)) (neg.f32 s)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 (*.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 (*.f32 x x)) (neg.f32 s)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
	54.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 x s) x))) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
	40.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* -1/2 (* (/ x s) x)) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) (.f32 s x)) s)) s))))
	51.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* -1/2 (* (/ x s) x)) x) (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) (neg.f32 s))))))
	32.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
	75.8%	(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
▶	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
✓	36.7%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 2 342 to 1 711 computations (26.9% saved)

simplify126.0ms (1.6%)

Memory

-10.0MiB live, 144.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
cost-diff	0	(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
cost-diff	2	(/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s))
cost-diff	0	(/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s)
cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))))
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	(/.f32 (*.f32 #s(literal 2 binary32) x) s)
cost-diff	0	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
cost-diff	2	(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32))
cost-diff	0	(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))
cost-diff	0	(sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))
cost-diff	0	(+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	402
0	87	392
1	149	386
2	317	384
3	865	384
4	3266	384
0	8685	382

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(literal -2 binary32)
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) x) s)
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
s
#s(literal 1/8 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))
#s(literal 2 binary32)
(/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s)
(fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x)
x
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(/.f32 x s)
s
#s(literal -1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))
#s(literal 2 binary32)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s)
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x)
#s(literal -1/2 binary32)
(/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s))
(*.f32 (neg.f32 x) x)
(neg.f32 x)
x
(neg.f32 s)
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
(-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32))
(/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
#s(literal 2 binary32)

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
(+.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) #s(literal 1 binary32))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(literal -2 binary32)
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) x) s)
(*.f32 #s(literal 2 binary32) (/.f32 x s))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
s
#s(literal 1/8 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))
#s(literal 2 binary32)
(/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s)
(/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)
(fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x)
(fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x)
x
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(*.f32 #s(literal -1/2 binary32) (/.f32 x s))
(/.f32 x s)
s
#s(literal -1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))
#s(literal 2 binary32)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s)
(/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s)
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x)
(fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
(/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s))
(*.f32 (/.f32 x s) x)
(*.f32 (neg.f32 x) x)
(neg.f32 x)
x
(neg.f32 s)
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
(-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32))
(/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
#s(literal 2 binary32)

localize221.0ms (2.8%)

Memory

6.4MiB live, 250.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
accuracy	1.7959576537506523	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))
accuracy	7.967080170476988	(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
accuracy	8.539243847139748	(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	0.03125	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
accuracy	1.7411943522683122	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s)))
accuracy	1.96512122342059	(/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s))
accuracy	8.206535391897564	(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x)
accuracy	0.02734375	(/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s)
accuracy	0.03125	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))))
accuracy	1.7411943522683122	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s)))
accuracy	8.885057735633898	(fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x)
accuracy	0.0	(/.f32 (*.f32 #s(literal 2 binary32) x) s)
accuracy	0.0	(*.f32 #s(literal 2 binary32) x)
accuracy	1.7293954196548538	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
accuracy	9.563970509899342	(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32))
accuracy	0.03125	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
accuracy	0.06838431667946886	(exp.f32 (/.f32 x s))
accuracy	0.06906132814753614	(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))
accuracy	0.22429837507589095	(sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))

Samples

87.0ms	174×	1	exit
43.0ms	77×	0	valid
4.0ms	5×	1	valid

Compiler

Compiled 317 to 51 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-div: 29.0ms (25.3% of total)

adjust: 19.0ms (16.6% of total)

ival-pow: 19.0ms (16.6% of total)

ival-mult: 15.0ms (13.1% of total)

ival-add: 9.0ms (7.9% of total)

ival-exp: 4.0ms (3.5% of total)

ival-sub: 4.0ms (3.5% of total)

const: 4.0ms (3.5% of total)

ival-cosh: 3.0ms (2.6% of total)

ival-sqrt: 2.0ms (1.7% of total)

ival-sinh: 2.0ms (1.7% of total)

ival-neg: 2.0ms (1.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series47.0ms (0.6%)

Memory

15.2MiB live, 53.1MiB allocated

Counts

24 → 115

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
(/.f32 (*.f32 #s(literal 2 binary32) x) s)
(*.f32 #s(literal 2 binary32) x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))
(/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s)
(/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
(exp.f32 (/.f32 x s))
(fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x)
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))

Outputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (* -2 (/ x s)))
(+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))
(* 2 (/ x s))
(* 2 x)
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(/ (pow x 2) s)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(+ 1 (/ 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))))
x
(* x (+ 1 (* -1/2 (/ x s))))
(+ 1/2 (* -1/6 (/ x s)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(/ 1 (exp (/ x s)))
(/ 1 (pow (exp (/ x s)) 2))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(/ 1 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(exp (/ x s))
(* -1/2 (/ (pow x 2) s))
(* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/2 (pow x 2)) (* s x)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (+ 1 (* -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))))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (pow s 2)))) (* 2 (/ x s)))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/3 (pow x 3)) (pow x 3)))) (pow s 3)))) (+ (* -4 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))
(+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (pow s 2)))) (* -1/8 (/ (- x (* -1 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* 1/4 (* (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- x (* -1 x)))) (* 1/4 (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))) (pow s 3)))) (+ (* -1/8 (/ (- x (* -1 x)) s)) (+ (* -1/32 (/ (pow (- x (* -1 x)) 2) (pow s 2))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (pow s 2))))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(+ 1 (+ (* 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))))
(+ x (* -1/2 (/ (pow x 2) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+ 1 (* -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 (* -1 (/ (- (+ (* -4 (/ (pow x 2) s)) (* 2 (/ (pow x 2) s))) (* -2 x)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 3) s)) (+ (* -1/3 (/ (pow x 3) s)) (+ (* 2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* 4 (/ (pow x 3) s))))) (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* -2 x)) s)))
(+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) s)) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (* -1/8 (- (* -1 x) x))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (- (* -1 x) x) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (+ (* 1/4 (/ (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- (* -1 x) x)) s)) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)))) (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* -1/8 (- (* -1 x) x))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(+ 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
17.0ms	s	@	0	((/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (+ 1 (sqrt (pow (exp (/ x s)) -2))) (sqrt (pow (exp (/ x s)) -2)) (pow (exp (/ x s)) -2) (+ (* (/ (* 2 x) s) 1/8) 1/2) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (/ (* 2 x) s) (* 2 x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* x (* (/ x s) -1/2)) x) s)) (/ (+ (* x (* (/ x s) -1/2)) x) s) (/ (* (neg x) x) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (/ (* (neg x) x) (neg s))) x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) x) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (exp (/ x s)) (+ (* x (* (/ x s) -1/2)) x) (+ (* -1/2 (/ (* (neg x) x) (neg s))) x) (+ (* -1/6 (/ x s)) 1/2))
11.0ms	x	@	inf	((/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (+ 1 (sqrt (pow (exp (/ x s)) -2))) (sqrt (pow (exp (/ x s)) -2)) (pow (exp (/ x s)) -2) (+ (* (/ (* 2 x) s) 1/8) 1/2) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (/ (* 2 x) s) (* 2 x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* x (* (/ x s) -1/2)) x) s)) (/ (+ (* x (* (/ x s) -1/2)) x) s) (/ (* (neg x) x) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (/ (* (neg x) x) (neg s))) x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) x) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (exp (/ x s)) (+ (* x (* (/ x s) -1/2)) x) (+ (* -1/2 (/ (* (neg x) x) (neg s))) x) (+ (* -1/6 (/ x s)) 1/2))
5.0ms	x	@	-inf	((/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (+ 1 (sqrt (pow (exp (/ x s)) -2))) (sqrt (pow (exp (/ x s)) -2)) (pow (exp (/ x s)) -2) (+ (* (/ (* 2 x) s) 1/8) 1/2) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (/ (* 2 x) s) (* 2 x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* x (* (/ x s) -1/2)) x) s)) (/ (+ (* x (* (/ x s) -1/2)) x) s) (/ (* (neg x) x) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (/ (* (neg x) x) (neg s))) x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) x) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (exp (/ x s)) (+ (* x (* (/ x s) -1/2)) x) (+ (* -1/2 (/ (* (neg x) x) (neg s))) x) (+ (* -1/6 (/ x s)) 1/2))
4.0ms	s	@	-inf	((/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (+ 1 (sqrt (pow (exp (/ x s)) -2))) (sqrt (pow (exp (/ x s)) -2)) (pow (exp (/ x s)) -2) (+ (* (/ (* 2 x) s) 1/8) 1/2) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (/ (* 2 x) s) (* 2 x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* x (* (/ x s) -1/2)) x) s)) (/ (+ (* x (* (/ x s) -1/2)) x) s) (/ (* (neg x) x) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (/ (* (neg x) x) (neg s))) x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) x) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (exp (/ x s)) (+ (* x (* (/ x s) -1/2)) x) (+ (* -1/2 (/ (* (neg x) x) (neg s))) x) (+ (* -1/6 (/ x s)) 1/2))
4.0ms	s	@	inf	((/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (+ 1 (sqrt (pow (exp (/ x s)) -2))) (sqrt (pow (exp (/ x s)) -2)) (pow (exp (/ x s)) -2) (+ (* (/ (* 2 x) s) 1/8) 1/2) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (/ (* 2 x) s) (* 2 x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* x (* (/ x s) -1/2)) x) s)) (/ (+ (* x (* (/ x s) -1/2)) x) s) (/ (* (neg x) x) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* -1/2 (/ (* (neg x) x) (neg s))) x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) x) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (exp (/ x s)) (+ (* x (* (/ x s) -1/2)) x) (+ (* -1/2 (/ (* (neg x) x) (neg s))) x) (+ (* -1/6 (/ x s)) 1/2))

simplify170.0ms (2.2%)

Memory

-10.6MiB live, 260.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	558	2234
1	1957	1852
2	7994	1852
0	8001	1741

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 114

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (* -2 (/ x s)))
(+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))
(* 2 (/ x s))
(* 2 x)
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(/ (pow x 2) s)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(+ 1 (/ 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))))
x
(* x (+ 1 (* -1/2 (/ x s))))
(+ 1/2 (* -1/6 (/ x s)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(/ 1 (exp (/ x s)))
(/ 1 (pow (exp (/ x s)) 2))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(/ 1 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(exp (/ x s))
(* -1/2 (/ (pow x 2) s))
(* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ (* -1/2 (pow x 2)) (* s x)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (+ 1 (* -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))))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (pow s 2)))) (* 2 (/ x s)))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 1/3 (pow x 3)) (pow x 3)))) (pow s 3)))) (+ (* -4 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))
(+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (pow s 2)))) (* -1/8 (/ (- x (* -1 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* 1/4 (* (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- x (* -1 x)))) (* 1/4 (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))) (pow s 3)))) (+ (* -1/8 (/ (- x (* -1 x)) s)) (+ (* -1/32 (/ (pow (- x (* -1 x)) 2) (pow s 2))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (pow s 2))))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(+ 1 (+ (* 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))))
(+ x (* -1/2 (/ (pow x 2) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+ 1 (* -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 (* -1 (/ (- (+ (* -4 (/ (pow x 2) s)) (* 2 (/ (pow x 2) s))) (* -2 x)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 3) s)) (+ (* -1/3 (/ (pow x 3) s)) (+ (* 2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* 4 (/ (pow x 3) s))))) (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* -2 x)) s)))
(+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) s)) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (* -1/8 (- (* -1 x) x))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (- (* -1 x) x) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (+ (* 1/4 (/ (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- (* -1 x) x)) s)) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)))) (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* -1/8 (- (* -1 x) x))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))

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

rewrite216.0ms (2.7%)

Memory

25.8MiB live, 348.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	313
0	87	302
1	328	291
2	2340	291
0	8595	289

Stop Event

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

Counts

24 → 481

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
(/.f32 (*.f32 #s(literal 2 binary32) x) s)
(*.f32 #s(literal 2 binary32) x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))
(/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s)
(/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
(exp.f32 (/.f32 x s))
(fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x)
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))

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

eval65.0ms (0.8%)

Memory: 3.5MiB live, 161.0MiB allocated
Compiler: Compiled 17 003 to 2 715 computations (84% saved)

prune58.0ms (0.7%)

Memory

-25.9MiB live, 169.1MiB allocated

Pruning

57 alts after pruning (54 fresh and 3 done)

	Pruned	Kept	Total
New	492	33	525
Fresh	18	21	39
Picked	5	0	5
Done	1	3	4
Total	516	57	573

Accuracy

99.9%

Counts

573 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	43.3%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
✓	60.3%	(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
▶	99.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (pow (exp (/ x s)) -2) (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
▶	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32))) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) (neg.f32 s)) (.f32 s #s(literal -1 binary32))) (.f32 (neg.f32 s) s)) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
▶	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (/.f32 x s) (/.f32 x s)))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) (/.f32 x s) (/.f32 x s)))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x x) s))))
	41.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s (.f32 s x)) (.f32 s s)))))
	24.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (neg.f32 x) x) #s(literal -1/2 binary32)) s (.f32 (.f32 (neg.f32 s) s) x)) (.f32 (.f32 (neg.f32 s) s) s)))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))))
	41.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) s (.f32 (neg.f32 s) x)) (.f32 (neg.f32 s) s)))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 (*.f32 x x)) (neg.f32 s)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (neg.f32 x) s) (neg.f32 x)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (/.f32 (*.f32 (neg.f32 x) x) s)) x) s))))
▶	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
	51.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* x (* (/ x s) -1/2)) x) (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 x s)) x)) s))))
	40.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* -1/2 (* (/ x s) x)) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) (.f32 s x)) s)) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) (neg.f32 s))))))
	32.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* x (* (/ x s) -1/2)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (+.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/8 binary32) s) #s(literal 1/2 binary32)))
	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)))
	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
	31.0%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
▶	7.4%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
✓	36.7%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 2 813 to 2 043 computations (27.4% saved)

simplify153.0ms (1.9%)

Memory

27.8MiB live, 512.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
cost-diff	0	(fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
cost-diff	0	(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
cost-diff	0	#s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
cost-diff	0	(+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
cost-diff	0	(/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
cost-diff	1	(-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))
cost-diff	0	(/.f32 #s(literal 1/4 binary32) s)
cost-diff	0	(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
cost-diff	0	#s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
cost-diff	0	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
cost-diff	0	(+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s))))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))))
cost-diff	2	(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s))))
cost-diff	2	(sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	434
0	92	430
1	160	418
2	310	412
3	851	406
4	3940	406
0	8153	401

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s))))
(exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))
(*.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
s
x
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))
#s(literal 2 binary32)
(/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)
(*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(/.f32 x s)
x
s
#s(literal -1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))
#s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
(-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
#s(literal 1/2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32)))
(fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))
x
(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
(-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32))
(/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
s
#s(literal 1/2 binary32)
#s(literal 2 binary32)

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s))))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s))))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))
(exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal 2 binary32) s))
(*.f32 #s(literal 2 binary32) (/.f32 x s))
(*.f32 (/.f32 x s) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 x s)
x
s
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
#s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
s
x
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))
(-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)
(/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s)
(*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x)
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
(/.f32 x s)
x
s
#s(literal -1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))
(+.f32 #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32))
#s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
(-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
#s(literal 1/2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))
(fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))
x
(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
(-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32))
(/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s)
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
(/.f32 x s)
s
#s(literal 1/2 binary32)
#s(literal 2 binary32)

localize276.0ms (3.5%)

Memory

-33.1MiB live, 1 093.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
accuracy	1.7959576537506523	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32)))
accuracy	8.393416528194868	(fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))
accuracy	8.857752244756874	(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	0.03125	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
accuracy	0.0390625	(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
accuracy	1.8234834829884046	#s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
accuracy	8.805487287659888	(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
accuracy	0.03125	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
accuracy	0.05078125	(*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)
accuracy	1.7411943522683122	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)))
accuracy	7.8345752706915235	(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
accuracy	0.0	(/.f32 #s(literal 1/4 binary32) s)
accuracy	0.07421875	(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
accuracy	1.7293954196548538	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
accuracy	8.537897745655012	#s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
accuracy	0.03125	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))))
accuracy	0.04296875	(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s))))
accuracy	0.054338448165896974	(exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))
accuracy	0.22429837507589095	(sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))

Samples

76.0ms	77×	0	valid
75.0ms	96×	1	exit
53.0ms	78×	0	exit
7.0ms	5×	1	valid

Compiler

Compiled 325 to 58 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 36.0ms (27.3% of total)

ival-div: 29.0ms (22% of total)

ival-add: 15.0ms (11.4% of total)

adjust: 11.0ms (8.3% of total)

ival-exp: 8.0ms (6.1% of total)

ival-cosh: 7.0ms (5.3% of total)

ival-sub: 6.0ms (4.5% of total)

ival-pow: 6.0ms (4.5% of total)

ival-sqrt: 5.0ms (3.8% of total)

const: 4.0ms (3% of total)

ival-sinh: 3.0ms (2.3% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series98.0ms (1.2%)

Memory

10.8MiB live, 249.6MiB allocated

Counts

25 → 143

Calls

Call 1

Inputs
(sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))))
(+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s))))))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(/.f32 #s(literal 1/4 binary32) s)
(-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)))
(/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))
#s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32)))
(fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))
(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
(exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))

Outputs
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (* -2 (/ x s)))
(+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* 1/4 (/ x s))
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(+ 1 (* 2 (/ x s)))
(+ 1 (* x (+ (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))
(+ 1 (* x (+ (* x (+ (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))
(+ 1 (* -1/2 (/ x s)))
x
(* x (+ 1 (* -1/2 (/ x s))))
(+ 1/2 (* -1/6 (/ x s)))
(sqrt (/ 1 (exp (* 2 (/ x s)))))
(/ 1 (exp (* 2 (/ x s))))
(/ 1 (+ 1 (sqrt (/ 1 (exp (* 2 (/ x s)))))))
(+ 1 (sqrt (/ 1 (exp (* 2 (/ x s))))))
(/ 1 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(/ 1 (exp (/ x s)))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(exp (* 2 (/ x s)))
(* -1/2 (/ x s))
(* x (- (/ 1 x) (* 1/2 (/ 1 s))))
(* -1/2 (/ (pow x 2) s))
(* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))
(* 1/2 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ 1/4 s)
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ s (* -1/2 x)) s)
(/ (+ (* -1/2 (pow x 2)) (* s x)) s)
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(+ 1 (+ (* -1 (/ x s)) (* -1/2 (/ (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/2 (/ (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))) (pow s 2))) (* -1/2 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 4/3 (pow x 3)) (* x (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))))))) (pow s 3))))))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (pow s 2)))) (* 2 (/ x s)))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4/3 (pow x 3)))) (pow s 3)))) (+ (* -4 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 4/3 (pow x 3)) (* x (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2)))))))) (+ (* -1/16 (* x (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))))) (* 1/2 (* x (+ (* -1/8 (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* -1/2 (/ (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/2 (/ (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))) (pow s 2))) (* -1/2 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 4/3 (pow x 3)) (* x (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))))))) (pow s 3))))))
(+ 1/2 (* 1/8 (/ (- x (* -1 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (pow s 2)))) (* -1/8 (/ (- x (* -1 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* 1/16 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* 1/4 (* (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- x (* -1 x)))) (* 1/4 (- (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))) (pow s 3)))) (+ (* -1/8 (/ (- x (* -1 x)) s)) (+ (* -1/32 (/ (pow (- x (* -1 x)) 2) (pow s 2))) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (pow s 2))))))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (+ x (* -1/2 (/ (pow x 2) s))) s)
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (+ 1 (* -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))))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(/ (- (* 1/2 (/ x s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s)
(+ 1 (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* 4/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))
(+ x (* -1/2 (/ (pow x 2) s)))
(+ 1 (* -1 (/ (+ x (* 1/2 (/ (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/2 (/ (+ (* -4/3 (pow x 3)) (+ (* -1 (* x (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) s))) s))) s)))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow x 2) s)) (* 2 (/ (pow x 2) s))) (* -2 x)) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4/3 (/ (pow x 3) s)) (+ (* 2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* 4 (/ (pow x 3) s)))) (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* -2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/8 (/ (+ (* -4/3 (pow x 3)) (+ (* -1 (* x (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) s)) (* 1/16 (/ (* x (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2)))) s)))) (+ (* -1/8 (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* 1/2 (/ (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/2 (/ (+ (* -4/3 (pow x 3)) (+ (* -1 (* x (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))))) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))) s))) s))) s)))
(+ 1/2 (* -1/8 (/ (- (* -1 x) x) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) s)) (* 1/4 (/ (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s))) (* -1/8 (- (* -1 x) x))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (- (* -1 x) x) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (+ (* 1/4 (/ (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- (* -1 x) x)) s)) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)))) (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* -1/8 (- (* -1 x) x))) s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+ 1 (* -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 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(+ 1 (* -1 (/ (+ (* -2 x) (* -2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s))) s)))

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	((sqrt (/ 1 (exp (* 2 (/ x s))))) (/ 1 (exp (* 2 (/ x s)))) (/ 1 (+ 1 (sqrt (/ 1 (exp (* 2 (/ x s))))))) (+ 1 (sqrt (/ 1 (exp (* 2 (/ x s)))))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (* (/ (* 2 x) s) 1/8) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ (* (+ (* (/ x s) -1/2) 1) x) s) (/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (+ 1 (sqrt (pow (exp (/ x s)) -2))) (sqrt (pow (exp (/ x s)) -2)) (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* x (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s)) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (exp (* 2 (/ x s))) (+ (* (/ x s) -1/2) 1) (* (+ (* (/ x s) -1/2) 1) x) (/ (- (* 1/2 (/ x s)) 1) s) (+ (* -1/6 (/ x s)) 1/2))
6.0ms	s	@	0	((sqrt (/ 1 (exp (* 2 (/ x s))))) (/ 1 (exp (* 2 (/ x s)))) (/ 1 (+ 1 (sqrt (/ 1 (exp (* 2 (/ x s))))))) (+ 1 (sqrt (/ 1 (exp (* 2 (/ x s)))))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (* (/ (* 2 x) s) 1/8) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ (* (+ (* (/ x s) -1/2) 1) x) s) (/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (+ 1 (sqrt (pow (exp (/ x s)) -2))) (sqrt (pow (exp (/ x s)) -2)) (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* x (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s)) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (exp (* 2 (/ x s))) (+ (* (/ x s) -1/2) 1) (* (+ (* (/ x s) -1/2) 1) x) (/ (- (* 1/2 (/ x s)) 1) s) (+ (* -1/6 (/ x s)) 1/2))
6.0ms	x	@	inf	((sqrt (/ 1 (exp (* 2 (/ x s))))) (/ 1 (exp (* 2 (/ x s)))) (/ 1 (+ 1 (sqrt (/ 1 (exp (* 2 (/ x s))))))) (+ 1 (sqrt (/ 1 (exp (* 2 (/ x s)))))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (* (/ (* 2 x) s) 1/8) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ (* (+ (* (/ x s) -1/2) 1) x) s) (/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (+ 1 (sqrt (pow (exp (/ x s)) -2))) (sqrt (pow (exp (/ x s)) -2)) (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* x (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s)) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (exp (* 2 (/ x s))) (+ (* (/ x s) -1/2) 1) (* (+ (* (/ x s) -1/2) 1) x) (/ (- (* 1/2 (/ x s)) 1) s) (+ (* -1/6 (/ x s)) 1/2))
6.0ms	s	@	inf	((sqrt (/ 1 (exp (* 2 (/ x s))))) (/ 1 (exp (* 2 (/ x s)))) (/ 1 (+ 1 (sqrt (/ 1 (exp (* 2 (/ x s))))))) (+ 1 (sqrt (/ 1 (exp (* 2 (/ x s)))))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (* (/ (* 2 x) s) 1/8) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ (* (+ (* (/ x s) -1/2) 1) x) s) (/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (+ 1 (sqrt (pow (exp (/ x s)) -2))) (sqrt (pow (exp (/ x s)) -2)) (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* x (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s)) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (exp (* 2 (/ x s))) (+ (* (/ x s) -1/2) 1) (* (+ (* (/ x s) -1/2) 1) x) (/ (- (* 1/2 (/ x s)) 1) s) (+ (* -1/6 (/ x s)) 1/2))
5.0ms	x	@	0	((sqrt (/ 1 (exp (* 2 (/ x s))))) (/ 1 (exp (* 2 (/ x s)))) (/ 1 (+ 1 (sqrt (/ 1 (exp (* 2 (/ x s))))))) (+ 1 (sqrt (/ 1 (exp (* 2 (/ x s)))))) (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+ (* (/ (* 2 x) s) 1/8) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ (* (+ (* (/ x s) -1/2) 1) x) s) (/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (+ 1 (sqrt (pow (exp (/ x s)) -2))) (sqrt (pow (exp (/ x s)) -2)) (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* x (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s)) 2) (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (exp (* 2 (/ x s))) (+ (* (/ x s) -1/2) 1) (* (+ (* (/ x s) -1/2) 1) x) (/ (- (* 1/2 (/ x s)) 1) s) (+ (* -1/6 (/ x s)) 1/2))

simplify176.0ms (2.2%)

Memory

-7.0MiB live, 470.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	666	3023
1	2366	2440
0	9030	2302

Stop Event

1×	iter limit
1×	node limit

Counts

143 → 142

Calls

Call 1

Inputs
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (* -2 (/ x s)))
(+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* 1/4 (/ x s))
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(+ 1 (* 2 (/ x s)))
(+ 1 (* x (+ (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))
(+ 1 (* x (+ (* x (+ (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))
(+ 1 (* -1/2 (/ x s)))
x
(* x (+ 1 (* -1/2 (/ x s))))
(+ 1/2 (* -1/6 (/ x s)))
(sqrt (/ 1 (exp (* 2 (/ x s)))))
(/ 1 (exp (* 2 (/ x s))))
(/ 1 (+ 1 (sqrt (/ 1 (exp (* 2 (/ x s)))))))
(+ 1 (sqrt (/ 1 (exp (* 2 (/ x s))))))
(/ 1 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* -1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(/ 1 (exp (/ x s)))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 2) (pow s 3)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(exp (* 2 (/ x s)))
(* -1/2 (/ x s))
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(* -1/2 (/ (pow x 2) s))
(* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))
(* 1/2 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ 1/4 s)
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/ (+ s (* -1/2 x)) s)
(/ (+ (* -1/2 (pow x 2)) (* s x)) s)
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(+ 1 (+ (* -1 (/ x s)) (* -1/2 (/ (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/2 (/ (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))) (pow s 2))) (* -1/2 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 4/3 (pow x 3)) (* x (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))))))) (pow s 3))))))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (pow s 2)))) (* 2 (/ x s)))
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(+ 1 (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2)))))
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(+ x (* -1/2 (/ (pow x 2) s)))
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(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow x 2) s)) (* 2 (/ (pow x 2) s))) (* -2 x)) s)))
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (- (* -1 x) x) (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) s)) (+ (* 1/4 (/ (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (- (* -1 x) x)) s)) (* 1/4 (/ (- (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)))) (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (- (* 1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) s)) (* -1/8 (- (* -1 x) x))) s)))
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
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(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
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(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(+ 1 (* -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 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(+ 1 (* -1 (/ (+ (* -2 x) (* -2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s))) s)))

Outputs
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))
(+ 1 (* -2 (/ x s)))
(fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))
(fma.f32 (.f32 x #s(literal 2 binary32)) (-.f32 (/.f32 x (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))
(fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) (.f32 s s))) x) (/.f32 #s(literal 2 binary32) s)) x #s(literal 1 binary32))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (/.f32 (.f32 #s(literal 1/480 binary32) (.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (/.f32 x (.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (.f32 (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 2 binary32))
(* 1/4 (/ x s))
(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
(/ x s)
(/.f32 x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x)
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(-.f32 (.f32 (/.f32 x (.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))
(-.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))
(+ 1 (* 2 (/ x s)))
(fma.f32 #s(literal 2 binary32) (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (+ (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* x (+ (* x (+ (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 4/3 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) (*.f32 s s))) x (/.f32 #s(literal 2 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* -1/2 (/ x s)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
x
(* x (+ 1 (* -1/2 (/ x s))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x)
(+ 1/2 (* -1/6 (/ x s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(sqrt (/ 1 (exp (* 2 (/ x s)))))
(sqrt.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))
(/ 1 (exp (* 2 (/ x s))))
(exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))
(/ 1 (+ 1 (sqrt (/ 1 (exp (* 2 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))) #s(literal 1 binary32)))
(+ 1 (sqrt (/ 1 (exp (* 2 (/ x s))))))
(+.f32 (sqrt.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))) #s(literal 1 binary32))
(/ 1 (- (+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) (* 1/2 (- (exp (/ x s)) (/ 1 (exp (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (-.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))) (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s)))))))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)
(* 1/2 (/ (pow x 2) (pow s 2)))
(.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (.f32 x x))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(* -1/2 (/ (pow x 2) (pow s 2)))
(.f32 (/.f32 #s(literal -1/2 binary32) s) (/.f32 (.f32 x x) s))
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (*.f32 x x))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (/ 1 (exp (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(/ 1 (exp (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (.f32 x x))
(* -1/6 (/ (pow x 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s x) x)) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))))) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s x) x)) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))))) (pow.f32 x #s(literal 3 binary32)))
(* -1/6 (/ (pow x 2) (pow s 3)))
(/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (pow.f32 s #s(literal 3 binary32)))
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3))))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s x) x)) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))))) (*.f32 x x))
(exp (* 2 (/ x s)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 x s))
(* -1/2 (/ x s))
(*.f32 #s(literal -1/2 binary32) (/.f32 x s))
(* x (- (/ 1 x) (* 1/2 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) x)
(* -1/2 (/ (pow x 2) s))
(.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32))
(* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s))))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) (.f32 x x))
(* 1/2 (/ x (pow s 2)))
(.f32 (/.f32 x (.f32 s s)) #s(literal 1/2 binary32))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x)
(* -1/6 (/ x s))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (*.f32 x x))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) (neg.f32 x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (*.f32 x x))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(.f32 (neg.f32 (pow.f32 x #s(literal 3 binary32))) (-.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(.f32 (neg.f32 (pow.f32 x #s(literal 3 binary32))) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (neg.f32 x)) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(.f32 (neg.f32 (pow.f32 x #s(literal 3 binary32))) (+.f32 (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (neg.f32 x)) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (neg.f32 x)) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))
(* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(.f32 (neg.f32 x) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (.f32 s s))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2))
(/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) (.f32 s s))
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) (.f32 s x)) (*.f32 s s))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/.f32 (fma.f32 (-.f32 s x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) s) x) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/.f32 (fma.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) s (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) s) x (.f32 (*.f32 x x) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3))
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) x (.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) (pow.f32 s #s(literal 3 binary32)))
(/ (+ s (* -1/2 x)) s)
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))
(/ (+ (* -1/2 (pow x 2)) (* s x)) s)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) (.f32 s x)) s)
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(+ 1 (+ (* -1 (/ x s)) (* -1/2 (/ (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))) (pow s 2)))))
(-.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) (/.f32 x s))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/2 (/ (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))) (pow s 2))) (* -1/2 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* 4/3 (pow x 3)) (* x (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2))))))) (pow s 3))))))
(fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4/3 binary32) (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal -2 binary32) (neg.f32 (pow.f32 x #s(literal 3 binary32)))))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (.f32 (neg.f32 x) x) (*.f32 s s))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 2)) (* 2 (pow x 2))) (pow s 2)))) (* 2 (/ x s)))
(-.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal -2 binary32) s) (.f32 #s(literal 2 binary32) (/.f32 x s))))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4/3 (pow x 3)))) (pow s 3)))) (+ (* -4 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))
(-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal -2 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4/3 binary32)))) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal -2 binary32) s) (.f32 #s(literal 2 binary32) (/.f32 x s))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (+ (* -4 (pow x 2)) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
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(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 #s(literal 0 binary32) x (/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32)) (.f32 #s(literal -1/4 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))))) s)) #s(literal 0 binary32)) (neg.f32 s)) (.f32 #s(literal 1/4 binary32) x)) s))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) s) (.f32 #s(literal -1/2 binary32) (*.f32 x x))) s) #s(literal -1 binary32) x) s))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) 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)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) s) (.f32 #s(literal -1/2 binary32) (*.f32 x x))) s) #s(literal -1 binary32) x) s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))
(+ 1 (* -1 (/ (+ (* -2 x) (* -2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (+.f32 (/.f32 (.f32 x x) s) x)) s))
(+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal -2 binary32) x) (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 4/3 binary32) (.f32 (*.f32 x x) #s(literal 2 binary32))) s)) s))

rewrite196.0ms (2.5%)

Memory

20.7MiB live, 374.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	353
0	92	346
1	354	325
2	2541	325
0	8897	323

Stop Event

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

Counts

25 → 401

Calls

Call 1

Inputs
(sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))))
(+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s))))))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(/.f32 #s(literal 1/4 binary32) s)
(-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)))
(/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))))
#s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32)))
(fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))
(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s)
(exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x)
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))

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

eval115.0ms (1.5%)

Memory: -5.4MiB live, 195.8MiB allocated
Compiler: Compiled 17 095 to 2 675 computations (84.4% saved)

prune66.0ms (0.8%)

Memory

18.2MiB live, 334.6MiB allocated

Pruning

60 alts after pruning (53 fresh and 7 done)

	Pruned	Kept	Total
New	519	19	538
Fresh	15	34	49
Picked	1	4	5
Done	0	3	3
Total	535	60	595

Accuracy

99.9%

Counts

595 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	49.2%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
	43.3%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
✓	60.3%	(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)))
✓	99.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (* 2 (/ x s))) (fma.f32 #s(literal 2 binary32) (/.f32 x s) #s(literal 1 binary32)))))))
	65.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (* 2 (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (+.f32 (/.f32 (.f32 x x) s) x)) s)))))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (pow (exp (/ x s)) -2) (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (/ 1 (exp (* 2 (/ x s)))) (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) #s(literal -1 binary32)) (neg.f32 s)) x #s(literal 1 binary32)))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) (/.f32 x s) #s(literal 1 binary32)))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) #s(literal 1 binary32)))))
	36.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (sqrt (pow (exp (/ x s)) -2))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) (neg.f32 s)) (.f32 s #s(literal -1 binary32))) (.f32 (neg.f32 s) s)) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
	36.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) (/.f32 x s) (/.f32 x s)))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x x) s))))
	41.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s (.f32 s x)) (.f32 s s)))))
	24.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (neg.f32 x) x) #s(literal -1/2 binary32)) s (.f32 (.f32 (neg.f32 s) s) x)) (.f32 (.f32 (neg.f32 s) s) s)))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x x) s))))
	41.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) s (.f32 (neg.f32 s) x)) (.f32 (neg.f32 s) s)))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x) s))))
	51.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/2 binary32) (/.f32 x s)))) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 (*.f32 x x)) (neg.f32 s)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
✓	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) #s(literal 1 binary32)) x) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (.f32 (fma.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) x) s))))
	40.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* -1/2 (* (/ x s) x)) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) (.f32 s x)) s)) s))))
	40.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) (neg.f32 s))))))
	32.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* x (* (/ x s) -1/2)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
	32.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
	30.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))))
	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (+.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/8 binary32) s) #s(literal 1/2 binary32)))
	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)))
	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
	36.7%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
	31.0%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
	7.4%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (fma.f32 (/.f32 x s) #s(literal 1/8 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)))))
✓	7.4%	#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
	36.7%	#s(approx (/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
✓	36.7%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 4 048 to 1 631 computations (59.7% saved)

regimes297.0ms (3.7%)

Memory

5.0MiB live, 1 452.5MiB allocated

Counts

105 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/8 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (+.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (fma.f32 (/.f32 x s) #s(literal 1/8 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (/ 1 (exp (* 2 (/ x s)))) (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (pow (exp (/ x s)) -2) (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* x (* (/ x s) -1/2)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* -1/2 (* (/ x s) x)) x) (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* x (* (/ x s) -1/2)) x) (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 x s)) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (sqrt (pow (exp (/ x s)) -2))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 x s) x))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (/.f32 (*.f32 (neg.f32 x) x) s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (neg.f32 x) s) (neg.f32 x)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 (*.f32 x x)) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x (neg.f32 x)) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* -1/2 (* (/ x s) x)) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) (.f32 s x)) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (.f32 (fma.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/2 binary32) (/.f32 x s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (* 2 (/ x s))) (fma.f32 #s(literal 2 binary32) (/.f32 x s) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) #s(literal -1 binary32)) (neg.f32 s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 (*.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (/.f32 x s) x) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) (/.f32 x s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (/.f32 x s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (neg.f32 x) x) #s(literal -1/2 binary32)) s (.f32 (.f32 (neg.f32 s) s) x)) (.f32 (.f32 (neg.f32 s) s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) s (.f32 (neg.f32 s) x)) (.f32 (neg.f32 s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32))) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) (neg.f32 (neg.f32 s)) (.f32 s x)) (.f32 s (neg.f32 (neg.f32 s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) (neg.f32 (neg.f32 s)) (.f32 (neg.f32 s) x)) (.f32 (neg.f32 s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 x (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (.f32 (neg.f32 s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (* 2 (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (+.f32 (/.f32 (.f32 x x) s) x)) s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 s)) (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) (neg.f32 s)) (.f32 s #s(literal -1 binary32))) (.f32 (neg.f32 s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (sinh.f32 (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (sqrt.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (neg.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s))))))

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

Calls

7 calls:

84.0ms	s
58.0ms	(/.f32 (neg.f32 x) s)
34.0ms	x
32.0ms	(neg.f32 x)
30.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

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

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes236.0ms (3%)

Memory

7.5MiB live, 643.9MiB allocated

Counts

95 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/8 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (+.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (fma.f32 (/.f32 x s) #s(literal 1/8 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (/ 1 (exp (* 2 (/ x s)))) (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (pow (exp (/ x s)) -2) (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* x (* (/ x s) -1/2)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* -1/2 (* (/ x s) x)) x) (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* x (* (/ x s) -1/2)) x) (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 x s)) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (sqrt (pow (exp (/ x s)) -2))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 x s) x))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (/.f32 (*.f32 (neg.f32 x) x) s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (neg.f32 x) s) (neg.f32 x)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 (*.f32 x x)) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x (neg.f32 x)) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* -1/2 (* (/ x s) x)) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) (.f32 s x)) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (.f32 (fma.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/2 binary32) (/.f32 x s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (* 2 (/ x s))) (fma.f32 #s(literal 2 binary32) (/.f32 x s) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) #s(literal -1 binary32)) (neg.f32 s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 (*.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (/.f32 x s) x) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) (/.f32 x s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (/.f32 x s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (neg.f32 x) x) #s(literal -1/2 binary32)) s (.f32 (.f32 (neg.f32 s) s) x)) (.f32 (.f32 (neg.f32 s) s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) s (.f32 (neg.f32 s) x)) (.f32 (neg.f32 s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32))) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) (neg.f32 (neg.f32 s)) (.f32 s x)) (.f32 s (neg.f32 (neg.f32 s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) (neg.f32 (neg.f32 s)) (.f32 (neg.f32 s) x)) (.f32 (neg.f32 s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 x (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (.f32 (neg.f32 s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (* 2 (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (+.f32 (/.f32 (.f32 x x) s) x)) s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 s)) (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) (neg.f32 s)) (.f32 s #s(literal -1 binary32))) (.f32 (neg.f32 s) s)) x #s(literal 2 binary32))))

Outputs

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

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

Calls

7 calls:

75.0ms	(/.f32 (neg.f32 x) s)
32.0ms	s
29.0ms	(neg.f32 x)
27.0ms	x
24.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
89.5%	2	`x`
65.2%	1	`s`
91.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
91.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
91.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
91.7%	2	`(/.f32 (neg.f32 x) s)`
89.5%	2	`(neg.f32 x)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes196.0ms (2.5%)

Memory

-10.2MiB live, 346.4MiB allocated

Counts

91 → 3

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/8 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (+.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (fma.f32 (/.f32 x s) #s(literal 1/8 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (/ 1 (exp (* 2 (/ x s)))) (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (pow (exp (/ x s)) -2) (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* x (* (/ x s) -1/2)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* -1/2 (* (/ x s) x)) x) (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* x (* (/ x s) -1/2)) x) (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 x s)) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (sqrt (pow (exp (/ x s)) -2))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 x s) x))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (/.f32 (*.f32 (neg.f32 x) x) s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (neg.f32 x) s) (neg.f32 x)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 (*.f32 x x)) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x (neg.f32 x)) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* -1/2 (* (/ x s) x)) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) (.f32 s x)) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (.f32 (fma.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/2 binary32) (/.f32 x s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (* 2 (/ x s))) (fma.f32 #s(literal 2 binary32) (/.f32 x s) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) #s(literal -1 binary32)) (neg.f32 s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 (*.f32 x (neg.f32 x))) (neg.f32 (neg.f32 s))) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (/.f32 x s) x) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) (/.f32 x s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) (/.f32 x s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) s (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (neg.f32 x) x) #s(literal -1/2 binary32)) s (.f32 (.f32 (neg.f32 s) s) x)) (.f32 (.f32 (neg.f32 s) s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) s (.f32 (neg.f32 s) x)) (.f32 (neg.f32 s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32))) x) s) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) (neg.f32 (neg.f32 s)) (.f32 s x)) (.f32 s (neg.f32 (neg.f32 s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) (neg.f32 (neg.f32 s)) (.f32 (neg.f32 s) x)) (.f32 (neg.f32 s) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (.f32 x (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (.f32 (neg.f32 s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))

Outputs

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

#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))

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

Calls

6 calls:

53.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
34.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
27.0ms	(neg.f32 x)
27.0ms	(/.f32 (neg.f32 x) s)
27.0ms	x

Results

Accuracy	Segments	Branch
81.8%	2	`x`
81.8%	2	`(neg.f32 x)`
90.6%	3	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
90.6%	3	`(exp.f32 (/.f32 (neg.f32 x) s))`
90.6%	3	`(/.f32 (neg.f32 x) s)`
90.6%	3	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes145.0ms (1.8%)

Memory

9.6MiB live, 166.2MiB allocated

Counts

63 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
#s(approx (/ 1 (+ 1 (sqrt (pow (exp (/ x s)) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/8 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal -1/8 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s)))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (fma.f32 (+.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(approx (+ (* (/ (* 2 x) s) 1/8) 1/2) (fma.f32 (/.f32 x s) #s(literal 1/8 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (- (+ (cosh (/ x s)) 1) (sinh (/ x s))) (fma.f32 (/.f32 (-.f32 (neg.f32 x) x) s) #s(literal 1/2 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (/ 1 (exp (* 2 (/ x s)))) (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (pow (exp (/ x s)) -2) (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* x (* (/ x s) -1/2)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* -1/2 (* (/ x s) x)) x) (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* x (* (/ x s) -1/2)) x) (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 x s)) x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 #s(literal -1/2 binary32) x) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (/ (* (+ (* -1/6 (/ x s)) 1/2) x) s) 1) s) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (sqrt (pow (exp (/ x s)) -2))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (exp (/ (neg x) s))) (sqrt (exp (/ (neg x) s))))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 x s) x))) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) (/.f32 x s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) #s(approx (/ (+ (* -1/2 (* (/ x s) x)) x) s) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (/.f32 (*.f32 (neg.f32 x) x) s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (neg.f32 x) s) (neg.f32 x)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 (*.f32 x x)) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x (neg.f32 x)) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* -1/2 (* (/ x s) x)) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 x x) (.f32 s x)) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (.f32 (fma.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/2 binary32) (/.f32 x s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (* 2 (/ x s))) (fma.f32 #s(literal 2 binary32) (/.f32 x s) #s(literal 1 binary32)))))))

Outputs

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

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

Calls

7 calls:

42.0ms	x
21.0ms	s
18.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
17.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
16.0ms	(neg.f32 x)

Results

Accuracy	Segments	Branch
54.1%	1	`s`
61.5%	2	`(neg.f32 x)`
61.5%	2	`x`
63.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
63.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
63.2%	2	`(/.f32 (neg.f32 x) s)`
63.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes28.0ms (0.4%)

Memory

-1.8MiB live, 46.6MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

10.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
6.0ms	(/.f32 (neg.f32 x) s)
6.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
61.8%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
61.8%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
61.8%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
61.8%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes40.0ms (0.5%)

Memory

0.7MiB live, 74.3MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

9.0ms	(/.f32 (neg.f32 x) s)
7.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
6.0ms	(neg.f32 x)
6.0ms	x
5.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
59.2%	2	`x`
59.2%	2	`(neg.f32 x)`
59.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
59.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
59.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
59.7%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes49.0ms (0.6%)

Memory

-25.3MiB live, 66.0MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

13.0ms	(neg.f32 x)
9.0ms	(/.f32 (neg.f32 x) s)
6.0ms	s
6.0ms	x
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
40.3%	1	`s`
48.3%	2	`x`
48.3%	2	`(neg.f32 x)`
49.5%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
49.5%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
49.5%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
49.5%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes18.0ms (0.2%)

Memory

-3.2MiB live, 34.4MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
49.5%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
49.5%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
49.5%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
49.5%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes27.0ms (0.3%)

Memory

19.2MiB live, 56.1MiB allocated

Accuracy

Total -9.6b remaining (-47.3%)

Threshold costs -9.6b (-47.3%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	(neg.f32 x)
4.0ms	x
3.0ms	s
3.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
36.7%	1	`s`
36.7%	1	`x`
36.7%	1	`(neg.f32 x)`
36.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
36.7%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
36.7%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
36.7%	1	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3104415447505744e-7	0.4944484233856201

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.548454225063324	0.9680754542350769
0.0ms	2.3104415447505744e-7	0.4944484233856201

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	39736.953125	403162.25

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.02220713533461094	15.280656814575195

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	39736.953125	403162.25

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.411933183670044	-0.19442710280418396

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.411933183670044	-0.19442710280418396

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify50.0ms (0.6%)

Memory

-4.0MiB live, 80.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	426
1	175	422
2	297	422
3	712	422
4	3097	422

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 14073749/35184372088832 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (* 2 (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (+.f32 (/.f32 (.f32 x x) s) x)) s))))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 14073749/35184372088832 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))) (if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/8388608 binary32)) #s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5368709/134217728 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 14073749/35184372088832 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (* 2 (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (+.f32 (/.f32 (.f32 x x) s) x)) s))))))))
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 14073749/35184372088832 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))) (if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/8388608 binary32)) #s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (pow (exp (/ x s)) -2)) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5368709/134217728 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* -1/2 (* (/ x s) x)) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5368709/134217728 binary32)) #s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50000 binary32)) #s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (* (+ (* (/ x s) -1/2) 1) x) s)) (.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (- (+ (cosh (/ x s)) 1) (sinh (/ x s)))) #s(literal 1/2 binary32))

soundness1.3s (17.1%)

Memory

-16.3MiB live, 1 020.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	313
0	87	302
1	328	291
2	2340	291
0	8595	289
0	59	353
0	92	346
1	354	325
2	2541	325
0	8897	323
0	8	27
0	13	27
1	43	27
2	218	27
3	2032	27
0	9071	27
0	592	3042
1	2069	2519
0	8782	2338
0	41	291
0	70	259
1	256	259
2	1784	251
0	8414	251
0	140	377
1	435	345
2	1607	341
0	8697	311
0	666	3023
1	2366	2440
0	9030	2302
0	558	2234
1	1957	1852
2	7994	1852
0	8001	1741

Stop Event

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

Compiler

Compiled 752 to 344 computations (54.3% saved)

preprocess154.0ms (1.9%)

Memory: -5.9MiB live, 111.9MiB allocated
Compiler: Compiled 918 to 220 computations (76% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze39.0ms (0.5%)

sample1.3s (16.7%)

explain101.0ms (1.3%)

preprocess122.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify127.0ms (1.6%)

localize23.0ms (0.3%)

series9.0ms (0.1%)

simplify180.0ms (2.3%)

rewrite219.0ms (2.8%)

eval87.0ms (1.1%)

prune20.0ms (0.3%)

simplify184.0ms (2.3%)

localize145.0ms (1.8%)

series69.0ms (0.9%)

simplify330.0ms (4.2%)

rewrite227.0ms (2.9%)

eval92.0ms (1.2%)

prune45.0ms (0.6%)

simplify126.0ms (1.6%)

localize221.0ms (2.8%)

series47.0ms (0.6%)

simplify170.0ms (2.2%)

rewrite216.0ms (2.7%)

eval65.0ms (0.8%)

prune58.0ms (0.7%)

simplify153.0ms (1.9%)

localize276.0ms (3.5%)

series98.0ms (1.2%)

simplify176.0ms (2.2%)

rewrite196.0ms (2.5%)

eval115.0ms (1.5%)

prune66.0ms (0.8%)

regimes297.0ms (3.7%)

regimes236.0ms (3%)

regimes196.0ms (2.5%)

regimes145.0ms (1.8%)

regimes28.0ms (0.4%)

regimes40.0ms (0.5%)

regimes49.0ms (0.6%)

regimes18.0ms (0.2%)

regimes27.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify50.0ms (0.6%)

soundness1.3s (17.1%)

preprocess154.0ms (1.9%)

end0.0ms (0%)

Profiling