Metrics for Logistic function

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze50.0ms (0.7%)

Memory

-10.2MiB live, 34.5MiB 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)

sample1.6s (22.4%)

Memory

0.7MiB live, 1 118.2MiB allocated

Samples

841.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 632.0ms

ival-div: 130.0ms (20.6% of total)

const: 124.0ms (19.6% of total)

ival-<=: 122.0ms (19.3% of total)

ival-neg: 87.0ms (13.8% of total)

ival-add: 77.0ms (12.2% of total)

ival-exp: 66.0ms (10.4% of total)

ival-and: 12.0ms (1.9% of total)

exact: 12.0ms (1.9% of total)

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

Bogosity

explain91.0ms (1.3%)

Memory

1.5MiB live, 93.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(2.828406034402653e-32 6.53234333037438e-34)	`(exp.f32 (/.f32 (neg.f32 x) s))`
0	-	0	-	`s`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
0	-	0	-	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
0	-	0	-	`(neg.f32 x)`
0	-	0	-	`(/.f32 (neg.f32 x) s)`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	1
-	0	255

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	0
-	0	3	252

Precision?

0.25

Recall?

1.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms

512×

valid

Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 7.0ms (37.1% of total)

ival-exp: 6.0ms (31.8% of total)

ival-neg: 3.0ms (15.9% of total)

ival-add: 2.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess116.0ms (1.6%)

Memory

12.1MiB live, 108.2MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.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)

simplify84.0ms (1.2%)

Memory

-18.7MiB live, 70.4MiB 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

localize20.0ms (0.3%)

Memory

22.2MiB live, 22.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f32 x)
accuracy	0.015625	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.05859375	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy	0.07836604962758055	(exp.f32 (/.f32 (neg.f32 x) s))

Samples

15.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (36.4% of total)

ival-exp: 2.0ms (24.3% of total)

ival-add: 1.0ms (12.1% of total)

ival-neg: 1.0ms (12.1% 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

6.3MiB live, 6.3MiB 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))

simplify145.0ms (2.1%)

Memory

-8.1MiB live, 89.4MiB 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)))

rewrite199.0ms (2.8%)

Memory

12.4MiB live, 142.5MiB 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)

eval83.0ms (1.2%)

Memory: 27.4MiB live, 121.0MiB allocated
Compiler: Compiled 17 059 to 1 687 computations (90.1% saved)

prune24.0ms (0.3%)

Memory

2.8MiB live, 47.2MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	463	10	473
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	463	11	474

Accuracy

99.8%

Counts

474 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.4%	(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
▶	44.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32)))
	99.7%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
▶	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))) (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	38.2%	(/.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)))))
	38.2%	(/.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)))))
▶	38.2%	(/.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))))
▶	38.2%	(/.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))))
	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	38.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 391 to 288 computations (26.3% saved)

simplify213.0ms (3%)

Memory

-63.3MiB live, 119.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	361
0	71	327
1	123	319
2	292	319
3	895	319
4	2874	319
0	9704	319

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

localize119.0ms (1.7%)

Memory

24.6MiB live, 112.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f32 x)
accuracy	0.05859375	(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32)))
accuracy	0.07836604962758055	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	13.460615737562557	(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32))
accuracy	3.0158071691991015	(.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x)
accuracy	13.589156929646224	#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	17.0436088148672	(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	20.908038799680533	(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	0.09212875976844201	(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
accuracy	3.6775895886587557	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
accuracy	12.956937978927238	#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)))
accuracy	20.421547771144372	(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))
accuracy	11.228393618341434	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy	0.01953125	(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
accuracy	0.05859375	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))) (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))))
accuracy	0.05859375	(*.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))) (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))
accuracy	0.08033225562432861	(exp.f32 (/.f32 x s))

Samples

49.0ms	183×	0	valid
43.0ms	73×	0	exit

Compiler

Compiled 300 to 39 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-sqrt: 27.0ms (35.9% of total)

ival-div: 15.0ms (19.9% of total)

ival-mult: 12.0ms (15.9% of total)

ival-add: 7.0ms (9.3% of total)

ival-exp: 4.0ms (5.3% of total)

const: 4.0ms (5.3% of total)

ival-sub: 2.0ms (2.7% of total)

ival-neg: 2.0ms (2.7% of total)

exact: 1.0ms (1.3% of total)

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

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

series53.0ms (0.7%)

Memory

-1.7MiB live, 51.8MiB allocated

Counts

24 → 102

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	((* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))) (neg (/ -1 (exp (/ x s)))) (/ 1 (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))))) (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 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)) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (/ (neg x) s) (exp (/ x s)) (/ -1 (exp (/ x s))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (neg x))
7.0ms	s	@	0	((* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))) (neg (/ -1 (exp (/ x s)))) (/ 1 (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))))) (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 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)) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (/ (neg x) s) (exp (/ x s)) (/ -1 (exp (/ x s))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (neg x))
5.0ms	x	@	-inf	((* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))) (neg (/ -1 (exp (/ x s)))) (/ 1 (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))))) (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 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)) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (/ (neg x) s) (exp (/ x s)) (/ -1 (exp (/ x s))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (neg x))
5.0ms	x	@	0	((* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))) (neg (/ -1 (exp (/ x s)))) (/ 1 (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))))) (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 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)) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (/ (neg x) s) (exp (/ x s)) (/ -1 (exp (/ x s))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (neg x))
4.0ms	s	@	inf	((* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))) (neg (/ -1 (exp (/ x s)))) (/ 1 (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))))) (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 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)) (+ (* (exp (/ (neg x) s)) 1) 1) (/ 1 (+ (* (exp (/ (neg x) s)) 1) 1)) (exp (/ (neg x) s)) (/ (neg x) s) (exp (/ x s)) (/ -1 (exp (/ x s))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (neg x))

simplify183.0ms (2.6%)

Memory

-19.4MiB live, 167.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	419	1742
1	1457	1501
2	5961	1481
0	8151	1396

Stop Event

1×	iter limit
1×	node limit

Counts

102 → 102

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

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

rewrite206.0ms (2.9%)

Memory

7.6MiB live, 239.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	306
0	71	273
1	254	269
2	1606	249
0	8802	249

Stop Event

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

Counts

24 → 759

Calls

Call 1

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

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

eval64.0ms (0.9%)

Memory: 28.1MiB live, 118.1MiB allocated
Compiler: Compiled 20 521 to 2 918 computations (85.8% saved)

prune53.0ms (0.7%)

Memory

-14.5MiB live, 47.5MiB allocated

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	556	25	581
Fresh	1	4	5
Picked	2	3	5
Done	0	1	1
Total	559	33	592

Accuracy

99.8%

Counts

592 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.5%	(pow.f32 (pow.f32 #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 -1/2 binary32)) #s(literal 2 binary32))
	45.4%	(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
✓	44.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32)))
	47.5%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg 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))) #s(literal 1 binary32) #s(literal 1 binary32)))
▶	99.7%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))) (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶	38.2%	(/.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)))))
	38.2%	(/.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)))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x 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))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
▶	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	38.2%	(/.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))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) s)) s) (.f32 s #s(literal 1 binary32))) (.f32 s s)) x #s(literal 2 binary32))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	38.2%	(/.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))))
	37.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 (.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))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 #s(approx (* (/ 1/2 (* s s)) x) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 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))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (neg.f32 x))) x #s(literal 2 binary32))))
▶	57.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
	30.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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))))
	30.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))))
▶	32.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
	39.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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)))))
	32.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
	66.2%	(*.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)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
✓	38.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 1 803 to 1 270 computations (29.6% saved)

simplify102.0ms (1.4%)

Memory

-14.0MiB live, 121.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	514
0	90	492
1	153	484
2	341	482
3	899	482
4	2705	472
0	8516	466

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (1.9%)

Memory

26.2MiB live, 173.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.0158071691991015	(.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x)
accuracy	13.415549544202467	#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)))
accuracy	18.627163867046697	(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))
accuracy	20.372073187578916	(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	2.6288236080752903	(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x))
accuracy	8.63005704913408	#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))
accuracy	9.035473445933539	(.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))
accuracy	12.956937978927238	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))))
accuracy	0.05859375	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
accuracy	0.09375	(/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s)
accuracy	1.3564869160925874	(.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x)
accuracy	12.956937978927238	#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32)))
accuracy	0.0	(/.f32 x s)
accuracy	0.017910009768442016	(-.f32 #s(literal 2 binary32) (/.f32 x s))
accuracy	0.05859375	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
accuracy	13.829559589929307	#s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
accuracy	0.015625	(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
accuracy	0.01953125	(/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))
accuracy	0.05859375	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
accuracy	0.08033225562432861	(exp.f32 (/.f32 x s))

Samples

55.0ms	183×	0	valid
37.0ms	73×	0	exit

Compiler

Compiled 342 to 49 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-sub: 19.0ms (26.8% of total)

ival-div: 18.0ms (25.3% of total)

ival-mult: 15.0ms (21.1% of total)

ival-add: 6.0ms (8.4% of total)

ival-exp: 4.0ms (5.6% of total)

const: 4.0ms (5.6% of total)

ival-sqrt: 2.0ms (2.8% of total)

ival-neg: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory

-12.6MiB live, 33.1MiB allocated

Counts

25 → 109

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))))) (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (- 2 (/ x s)) (/ x s) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (/ (- (/ (* 1/2 x) s) 1) s) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (- (/ (* 1/2 x) s) 1) s) (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (+ (* -1/6 (/ x s)) 1/2) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))
4.0ms	x	@	inf	((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))))) (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (- 2 (/ x s)) (/ x s) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (/ (- (/ (* 1/2 x) s) 1) s) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (- (/ (* 1/2 x) s) 1) s) (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (+ (* -1/6 (/ x s)) 1/2) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))
4.0ms	x	@	-inf	((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))))) (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (- 2 (/ x s)) (/ x s) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (/ (- (/ (* 1/2 x) s) 1) s) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (- (/ (* 1/2 x) s) 1) s) (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (+ (* -1/6 (/ x s)) 1/2) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))
3.0ms	s	@	0	((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))))) (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (- 2 (/ x s)) (/ x s) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (/ (- (/ (* 1/2 x) s) 1) s) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (- (/ (* 1/2 x) s) 1) s) (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (+ (* -1/6 (/ x s)) 1/2) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))
3.0ms	s	@	-inf	((- 1 (/ -1 (exp (/ x s)))) (/ 1 (- 1 (/ -1 (exp (/ x s))))) (/ -1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s)))))))) (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (- 2 (/ x s)) (/ x s) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (/ (- (/ (* 1/2 x) s) 1) s) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (- (/ (* 1/2 x) s) 1) s) (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (+ (* -1/6 (/ x s)) 1/2) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 1) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))

simplify145.0ms (2%)

Memory

2.5MiB live, 147.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	439	1750
1	1514	1506
2	6079	1486
0	8307	1406

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 109

Calls

Call 1

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

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

rewrite180.0ms (2.5%)

Memory

5.7MiB live, 147.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	436
0	90	414
1	342	404
2	2580	393
0	9264	387

Stop Event

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

Counts

25 → 403

Calls

Call 1

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

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

eval65.0ms (0.9%)

Memory: -0.0MiB live, 89.6MiB allocated
Compiler: Compiled 18 708 to 2 702 computations (85.6% saved)

prune50.0ms (0.7%)

Memory

-26.9MiB live, 76.3MiB allocated

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	492	19	511
Fresh	13	11	24
Picked	2	3	5
Done	0	4	4
Total	507	37	544

Accuracy

99.8%

Counts

544 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.9%	(pow.f32 (pow.f32 #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	45.4%	(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
✓	44.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32)))
	47.5%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (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 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
	47.5%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg 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))) #s(literal 1 binary32) #s(literal 1 binary32)))
✓	99.7%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
	65.4%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
	38.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (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 1 binary32))) #s(literal 1 binary32)))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))) (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	38.2%	(/.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 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
	38.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
▶	38.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
	38.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x 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))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
✓	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
▶	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
✓	57.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 #s(approx (/ (- (/ ( 1/2 x) s) 1) s) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x) #s(literal 2 binary32))))
	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(approx (* (/ (- (/ (* 1/2 x) s) 1) s) x) (*.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s))) #s(literal 2 binary32))))
	30.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 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))))
▶	32.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
	39.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) s)) (.f32 x x)))))
	32.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
	30.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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))))
▶	30.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))))
	15.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 (.f32 s s) x)) (.f32 (.f32 (.f32 s s) x) s)) (.f32 (.f32 (.f32 s s) x) (.f32 (.f32 s s) x))) (.f32 x x)))))
	39.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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)))))
	33.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 #s(approx (- (/ 1/2 ( s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (.f32 x x)))))
	49.0%	(+.f32 (cosh.f32 (.f32 (log.f32 #s(approx (+ 1 ( (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) #s(literal -1 binary32))) (sinh.f32 (.f32 (log.f32 #s(approx (+ 1 ( (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) #s(literal -1 binary32))))
▶	66.2%	(*.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)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
✓	38.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 2 175 to 1 420 computations (34.7% saved)

simplify91.0ms (1.3%)

Memory

19.8MiB live, 64.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
cost-diff	0	#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
cost-diff	0	(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #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 (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))))
cost-diff	1	(/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)
cost-diff	2	(fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32)))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
cost-diff	1	(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
cost-diff	2	(-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
cost-diff	0	#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s))
cost-diff	0	(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
cost-diff	0	(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))
cost-diff	0	(+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32)))
cost-diff	2	(*.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)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	703
0	109	697
1	190	665
2	446	665
3	1483	665
4	4397	665
0	8253	636

Stop Event

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

Calls

Call 1

Inputs
(*.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)) (-.f32 #s(literal 1 binary32) (exp.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)))
#s(literal 1 binary32)
(+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(literal -3 binary32)
(+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))
#s(literal -2 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)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
s
x
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))
#s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
(-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
x
#s(literal 1/2 binary32)
(*.f32 s x)
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))
(/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s)
(/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)
(fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32)))
(neg.f32 x)
x
s
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x)
(/.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s))
#s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)

Outputs
(*.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)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (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 #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 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))
(exp.f32 (/.f32 x s))
(/.f32 x s)
x
s
#s(literal -3 binary32)
(+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(-.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))
#s(literal -2 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)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s))
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
s
x
#s(literal 2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.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))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s))))
#s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))
#s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s))
(-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
(*.f32 (fma.f32 #s(literal -1/2 binary32) x s) (neg.f32 x))
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
x
#s(literal 1/2 binary32)
(*.f32 s x)
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s))))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))
#s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)))
(/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s)
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s))
(/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)
(*.f32 x (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)))
(fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32)))
(*.f32 (fma.f32 #s(literal -1/2 binary32) x s) (neg.f32 x))
(neg.f32 x)
x
s
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 (/.f32 x s) s) #s(approx (+ ( -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) (/.f32 #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 (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 (/.f32 x s) s) #s(approx (+ ( -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) #s(literal 1 binary32))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 (/.f32 x s) s) #s(approx (+ ( -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(fma.f32 (-.f32 (.f32 (/.f32 (/.f32 x s) s) #s(approx (+ ( -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))
(-.f32 (.f32 (/.f32 (/.f32 x s) s) #s(approx (+ ( -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x)
(.f32 (/.f32 (/.f32 x s) s) #s(approx (+ ( -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))))
(/.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s))
#s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))
(*.f32 #s(literal -1/6 binary32) (/.f32 x s))
#s(literal -1/6 binary32)
(/.f32 x s)
x
s
(*.f32 s s)
(/.f32 #s(literal 1 binary32) s)

localize142.0ms (2%)

Memory

-5.1MiB live, 185.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.0158071691991015	(.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x)
accuracy	9.03116620223048	#s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))
accuracy	13.415549544202467	#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
accuracy	18.050992461109544	(fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
accuracy	4.352501976247223	(/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)
accuracy	8.63005704913408	#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))
accuracy	10.946605619846899	(fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32)))
accuracy	12.956937978927238	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s)))
accuracy	0.05859375	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
accuracy	6.1772698853595776	(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
accuracy	8.63005704913408	#s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))
accuracy	12.956937978927238	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))
accuracy	0.05859375	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
accuracy	12.956937978927238	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
accuracy	14.331021559499135	#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s))
accuracy	20.80341180049148	(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
accuracy	0.08033225562432861	(exp.f32 (/.f32 x s))
accuracy	0.9062500134361432	(+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy	1.6302905257226659	(*.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)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
accuracy	6.546670353779032	(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Samples

67.0ms	183×	0	valid
33.0ms	73×	0	exit

Compiler

Compiled 409 to 56 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-div: 21.0ms (26.1% of total)

ival-mult: 18.0ms (22.4% of total)

ival-add: 9.0ms (11.2% of total)

ival-exp: 9.0ms (11.2% of total)

ival-pow: 7.0ms (8.7% of total)

ival-expm1: 5.0ms (6.2% of total)

ival-sub: 4.0ms (5% of total)

const: 4.0ms (5% of total)

ival-neg: 2.0ms (2.5% of total)

exact: 1.0ms (1.2% of total)

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

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

series51.0ms (0.7%)

Memory

13.4MiB live, 110.8MiB allocated

Counts

27 → 147

Calls

Call 1

Inputs
(*.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)) (-.f32 #s(literal 1 binary32) (exp.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 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s))
(-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
(/.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))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))
(fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 (/.f32 x s))
#s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))
#s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))
(.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) 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) (- (* x (- (* 27/32 (/ 1 (pow s 4))) (* 1/4 (- (* 27 (/ 1 (pow s 4))) (* 189/8 (/ 1 (pow s 4))))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* 3/4 (/ x s)))
(+ 1/2 (* x (+ (* -9/16 (/ (pow x 2) (pow s 3))) (* 3/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* x (- (* 27/32 (/ 1 (pow s 4))) (* 1/4 (- (* 27 (/ 1 (pow s 4))) (* 189/8 (/ 1 (pow s 4))))))) (* 9/16 (/ 1 (pow s 3))))) (* 3/4 (/ 1 s)))))
2
(+ 2 (* -3 (/ x s)))
(+ 2 (* x (- (* 9/2 (/ x (pow s 2))) (* 3 (/ 1 s)))))
(+ 2 (* x (- (* x (+ (* -9/2 (/ x (pow s 3))) (* 9/2 (/ 1 (pow s 2))))) (* 3 (/ 1 s)))))
1
(+ 1 (* -3 (/ x s)))
(+ 1 (* x (- (* 9/2 (/ x (pow s 2))) (* 3 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -9/2 (/ x (pow s 3))) (* 9/2 (/ 1 (pow s 2))))) (* 3 (/ 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 (* -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 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(* -1 (* s x))
(* x (- (* 1/2 x) s))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (+ (* -1 s) (* 1/2 x)))
(* -1 x)
(* x (- (* 1/2 (/ x s)) 1))
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(+ 1 (* x (- (* 3/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -7/6 (/ x (pow s 3))) (* 3/2 (/ 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))))
(+ 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)))))
(/ (- (+ 1 (/ 1 (pow (exp (/ x s)) 2))) (exp (* -1 (/ x s)))) (+ 1 (/ 1 (pow (exp (/ x s)) 3))))
(/ 1 (+ 1 (/ 1 (pow (exp (/ x s)) 3))))
(+ 1 (/ 1 (pow (exp (/ x s)) 3)))
(/ 1 (pow (exp (/ x s)) 3))
(/ 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))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(exp (* -1 (/ x s)))
(* -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)) (/ 1 (pow x 3))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(- 1 (exp (* -1 (/ x s))))
(- (+ 1 (/ 1 (pow (exp (/ x s)) 2))) (exp (* -1 (/ x s))))
(exp (/ x s))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -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 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s 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) (/ 1 x)) 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))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)
(/ (+ (* -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 (+ s (* -1 x)))))) (pow s 3))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(- (+ 1/2 (* -1/2 (/ (+ (* -1 x) (* 2 x)) s))) (* -1/4 (/ (+ x (* 2 x)) s)))
(- (+ 1/2 (+ (* -1/2 (/ (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (pow s 2))) (* -1/2 (/ (+ (* -1 x) (* 2 x)) s)))) (+ (* -1/2 (/ (* (+ x (* 2 x)) (- (* -1/2 (+ (* -1 x) (* 2 x))) (* -1/4 (+ x (* 2 x))))) (pow s 2))) (+ (* -1/4 (/ (+ x (* 2 x)) s)) (* -1/4 (/ (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (pow s 2))))))
(- (+ 1/2 (+ (* -1/2 (/ (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (pow s 2))) (+ (* -1/2 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (pow x 3))))) (pow s 3))) (* -1/2 (/ (+ (* -1 x) (* 2 x)) s))))) (+ (* -1/2 (/ (* (+ x (* 2 x)) (- (* -1/2 (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/2 (* (+ x (* 2 x)) (- (* -1/2 (+ (* -1 x) (* 2 x))) (* -1/4 (+ x (* 2 x)))))) (* -1/4 (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))))) (pow s 3))) (+ (* -1/2 (/ (* (+ x (* 2 x)) (- (* -1/2 (+ (* -1 x) (* 2 x))) (* -1/4 (+ x (* 2 x))))) (pow s 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (- (* -1/2 (+ (* -1 x) (* 2 x))) (* -1/4 (+ x (* 2 x))))) (pow s 3))) (+ (* -1/4 (/ (+ x (* 2 x)) s)) (+ (* -1/4 (/ (+ (* -1 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* -1 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3)))))) (pow s 3))) (* -1/4 (/ (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (pow s 2)))))))))
(+ 1/2 (* 1/4 (/ (+ x (* 2 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (* -1/8 (pow (+ x (* 2 x)) 2))) (pow s 2)))) (* -1/4 (/ (+ x (* 2 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* -1 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3))))))) (+ (* -1/8 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))) (* 1/2 (* (+ x (* 2 x)) (+ (* -1/4 (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (* -1/8 (pow (+ x (* 2 x)) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (+ x (* 2 x)) s)) (+ (* -1/4 (/ (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (pow s 2))) (* -1/8 (/ (pow (+ x (* 2 x)) 2) (pow s 2))))))
(+ 2 (* -1 (/ (+ x (* 2 x)) s)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (pow s 2)))) (+ (* 2 (/ x s)) (/ x s)))
(- (+ 2 (* -1 (/ (+ (* -1 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* -1 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3)))))) (pow s 3)))) (+ (* -1 (/ (pow (+ x (* 2 x)) 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (+ (* 4 (/ (pow x 2) (pow s 2))) (/ x s))))))
(+ 1 (* -1 (/ (+ x (* 2 x)) s)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (pow s 2)))) (+ (* 2 (/ x s)) (/ x s)))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* -1 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3)))))) (pow s 3)))) (+ (* -1 (/ (pow (+ x (* 2 x)) 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (+ (* 4 (/ (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))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(* s (- (* 1/2 (/ (pow x 2) s)) x))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)
(/ (- (* 1/6 (/ (pow x 3) (pow s 2))) (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))) s)
(/ (- (* -1/24 (/ (pow x 4) (pow s 3))) (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))) s)
(+ 1 (* -1 (/ (+ (* -1 x) (* 2 x)) s)))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (pow s 2)))) (+ (* -1 (/ x s)) (* 2 (/ x s))))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (pow x 3))))) (pow s 3)))) (+ (* -4 (/ (pow x 2) (pow s 2))) (+ (* -1 (/ x s)) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ 1/2 (* -1 (/ (- (* -1/2 (+ x (* -2 x))) (* -1/4 (+ (* -2 x) (* -1 x)))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/2 (* (+ (* -2 x) (* -1 x)) (- (* -1/2 (+ x (* -2 x))) (* -1/4 (+ (* -2 x) (* -1 x)))))) (* -1/4 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))))) s)) (* -1/2 (+ x (* -2 x)))) (* -1/4 (+ (* -2 x) (* -1 x)))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))))) (+ (* -1/2 (* (+ (* -2 x) (* -1 x)) (- (* -1/2 (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/2 (* (+ (* -2 x) (* -1 x)) (- (* -1/2 (+ x (* -2 x))) (* -1/4 (+ (* -2 x) (* -1 x)))))) (* -1/4 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))))))) (+ (* -1/2 (* (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (- (* -1/2 (+ x (* -2 x))) (* -1/4 (+ (* -2 x) (* -1 x)))))) (* -1/4 (+ (* -4 (pow x 3)) (+ (* -1 (* (+ (* -2 x) (* -1 x)) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* -1 (* (+ (* -2 x) (* -1 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -1/3 (pow x 3)) (* -1/6 (pow x 3)))))))))) s)) (* -1/2 (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))))) (+ (* -1/2 (* (+ (* -2 x) (* -1 x)) (- (* -1/2 (+ x (* -2 x))) (* -1/4 (+ (* -2 x) (* -1 x)))))) (* -1/4 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))))) s)) (* -1/2 (+ x (* -2 x)))) (* -1/4 (+ (* -2 x) (* -1 x)))) s)))
(+ 1/2 (* -1/4 (/ (+ (* -2 x) (* -1 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) s)) (* -1/8 (/ (pow (+ (* -2 x) (* -1 x)) 2) s))) (* -1/4 (+ (* -2 x) (* -1 x)))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (+ (* -4 (pow x 3)) (+ (* -1 (* (+ (* -2 x) (* -1 x)) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* -1 (* (+ (* -2 x) (* -1 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -1/3 (pow x 3)) (* -1/6 (pow x 3)))))) s)) (+ (* -1/8 (/ (* (+ (* -2 x) (* -1 x)) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) s)) (* 1/2 (/ (* (+ (* -2 x) (* -1 x)) (+ (* -1/4 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (* -1/8 (pow (+ (* -2 x) (* -1 x)) 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (* -1/8 (pow (+ (* -2 x) (* -1 x)) 2)))) s)) (* -1/4 (+ (* -2 x) (* -1 x)))) s)))
(+ 2 (+ (* -2 (/ x s)) (* -1 (/ x s))))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -2 x) (* -1 x)) 2) s)) (+ (* 1/2 (/ (pow x 2) s)) (* 4 (/ (pow x 2) s)))) (+ (* -2 x) (* -1 x))) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow x 3) s)) (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) s)) (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) s)) (+ (* -1/3 (/ (pow x 3) s)) (* -1/6 (/ (pow x 3) s)))))) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) s)) (+ (* -2 x) (* -1 x))) s)))
(+ 1 (+ (* -2 (/ x s)) (* -1 (/ x s))))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -2 x) (* -1 x)) 2) s)) (+ (* 1/2 (/ (pow x 2) s)) (* 4 (/ (pow x 2) s)))) (+ (* -2 x) (* -1 x))) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow x 3) s)) (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) s)) (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) s)) (+ (* -1/3 (/ (pow x 3) s)) (* -1/6 (/ (pow x 3) s)))))) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) s)) (+ (* -2 x) (* -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 (* -1/2 (/ x s))) s))
(* -1 (* s (- (* -1/2 (/ (pow x 2) s)) (* -1 x))))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s))
(+ 1 (+ (* -2 (/ x s)) (/ x s)))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow x 2) s)) (+ (* 1/2 (/ (pow x 2) s)) (* 2 (/ (pow x 2) s)))) (+ x (* -2 x))) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 3) s)) (+ (* -1/3 (/ (pow x 3) s)) (+ (* 1/6 (/ (pow x 3) s)) (+ (* 2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* 4 (/ (pow x 3) s)))))) (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) s)) (+ x (* -2 x))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	s	@	inf	((* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -3) 1) (pow (exp (/ x s)) -3) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg x) s) (* (* x x) 1/2)) (/ (+ (* (neg x) s) (* (* x x) 1/2)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 1) (- 1 (exp (/ (neg x) s))) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s)))) (exp (/ x s)) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))
11.0ms	x	@	0	((* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -3) 1) (pow (exp (/ x s)) -3) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg x) s) (* (* x x) 1/2)) (/ (+ (* (neg x) s) (* (* x x) 1/2)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 1) (- 1 (exp (/ (neg x) s))) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s)))) (exp (/ x s)) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))
9.0ms	x	@	inf	((* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -3) 1) (pow (exp (/ x s)) -3) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg x) s) (* (* x x) 1/2)) (/ (+ (* (neg x) s) (* (* x x) 1/2)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 1) (- 1 (exp (/ (neg x) s))) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s)))) (exp (/ x s)) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))
8.0ms	s	@	-inf	((* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -3) 1) (pow (exp (/ x s)) -3) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg x) s) (* (* x x) 1/2)) (/ (+ (* (neg x) s) (* (* x x) 1/2)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 1) (- 1 (exp (/ (neg x) s))) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s)))) (exp (/ x s)) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))
5.0ms	x	@	-inf	((* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -3) 1) (pow (exp (/ x s)) -3) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (- (* (* x x) 1/2) (* s x)) (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg x) s) (* (* x x) 1/2)) (/ (+ (* (neg x) s) (* (* x x) 1/2)) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) x) 1) (- 1 (exp (/ (neg x) s))) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s)))) (exp (/ x s)) (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ (* -1/6 (/ x s)) 1/2) (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x))

simplify186.0ms (2.6%)

Memory

5.5MiB live, 194.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	705	3354
1	2514	3040
0	8276	2865

Stop Event

1×	iter limit
1×	node limit

Counts

147 → 147

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) (- (* x (- (* 27/32 (/ 1 (pow s 4))) (* 1/4 (- (* 27 (/ 1 (pow s 4))) (* 189/8 (/ 1 (pow s 4))))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* 3/4 (/ x s)))
(+ 1/2 (* x (+ (* -9/16 (/ (pow x 2) (pow s 3))) (* 3/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* x (- (* 27/32 (/ 1 (pow s 4))) (* 1/4 (- (* 27 (/ 1 (pow s 4))) (* 189/8 (/ 1 (pow s 4))))))) (* 9/16 (/ 1 (pow s 3))))) (* 3/4 (/ 1 s)))))
2
(+ 2 (* -3 (/ x s)))
(+ 2 (* x (- (* 9/2 (/ x (pow s 2))) (* 3 (/ 1 s)))))
(+ 2 (* x (- (* x (+ (* -9/2 (/ x (pow s 3))) (* 9/2 (/ 1 (pow s 2))))) (* 3 (/ 1 s)))))
1
(+ 1 (* -3 (/ x s)))
(+ 1 (* x (- (* 9/2 (/ x (pow s 2))) (* 3 (/ 1 s)))))
(+ 1 (* x (- (* x (+ (* -9/2 (/ x (pow s 3))) (* 9/2 (/ 1 (pow s 2))))) (* 3 (/ 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 (* -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 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(* -1 (* s x))
(* x (- (* 1/2 x) s))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (+ (* -1 s) (* 1/2 x)))
(* -1 x)
(* x (- (* 1/2 (/ x s)) 1))
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ x s)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(+ 1 (* x (- (* 3/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -7/6 (/ x (pow s 3))) (* 3/2 (/ 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))))
(+ 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)))))
(/ (- (+ 1 (/ 1 (pow (exp (/ x s)) 2))) (exp (* -1 (/ x s)))) (+ 1 (/ 1 (pow (exp (/ x s)) 3))))
(/ 1 (+ 1 (/ 1 (pow (exp (/ x s)) 3))))
(+ 1 (/ 1 (pow (exp (/ x s)) 3)))
(/ 1 (pow (exp (/ x s)) 3))
(/ 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))))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(exp (* -1 (/ x s)))
(* -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)) (/ 1 (pow x 3))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(- 1 (exp (* -1 (/ x s))))
(- (+ 1 (/ 1 (pow (exp (/ x s)) 2))) (exp (* -1 (/ x s))))
(exp (/ x s))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -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 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s 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) (/ 1 x)) 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))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) s)
(/ (+ (* -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 (+ s (* -1 x)))))) (pow s 3))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3))
(- (+ 1/2 (* -1/2 (/ (+ (* -1 x) (* 2 x)) s))) (* -1/4 (/ (+ x (* 2 x)) s)))
(- (+ 1/2 (+ (* -1/2 (/ (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (pow s 2))) (* -1/2 (/ (+ (* -1 x) (* 2 x)) s)))) (+ (* -1/2 (/ (* (+ x (* 2 x)) (- (* -1/2 (+ (* -1 x) (* 2 x))) (* -1/4 (+ x (* 2 x))))) (pow s 2))) (+ (* -1/4 (/ (+ x (* 2 x)) s)) (* -1/4 (/ (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (pow s 2))))))
(- (+ 1/2 (+ (* -1/2 (/ (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (pow s 2))) (+ (* -1/2 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (pow x 3))))) (pow s 3))) (* -1/2 (/ (+ (* -1 x) (* 2 x)) s))))) (+ (* -1/2 (/ (* (+ x (* 2 x)) (- (* -1/2 (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/2 (* (+ x (* 2 x)) (- (* -1/2 (+ (* -1 x) (* 2 x))) (* -1/4 (+ x (* 2 x)))))) (* -1/4 (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))))) (pow s 3))) (+ (* -1/2 (/ (* (+ x (* 2 x)) (- (* -1/2 (+ (* -1 x) (* 2 x))) (* -1/4 (+ x (* 2 x))))) (pow s 2))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (- (* -1/2 (+ (* -1 x) (* 2 x))) (* -1/4 (+ x (* 2 x))))) (pow s 3))) (+ (* -1/4 (/ (+ x (* 2 x)) s)) (+ (* -1/4 (/ (+ (* -1 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* -1 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3)))))) (pow s 3))) (* -1/4 (/ (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (pow s 2)))))))))
(+ 1/2 (* 1/4 (/ (+ x (* 2 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (* -1/8 (pow (+ x (* 2 x)) 2))) (pow s 2)))) (* -1/4 (/ (+ x (* 2 x)) s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* -1 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3))))))) (+ (* -1/8 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))) (* 1/2 (* (+ x (* 2 x)) (+ (* -1/4 (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (* -1/8 (pow (+ x (* 2 x)) 2))))))) (pow s 3)))) (+ (* -1/4 (/ (+ x (* 2 x)) s)) (+ (* -1/4 (/ (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (pow s 2))) (* -1/8 (/ (pow (+ x (* 2 x)) 2) (pow s 2))))))
(+ 2 (* -1 (/ (+ x (* 2 x)) s)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (pow s 2)))) (+ (* 2 (/ x s)) (/ x s)))
(- (+ 2 (* -1 (/ (+ (* -1 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* -1 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3)))))) (pow s 3)))) (+ (* -1 (/ (pow (+ x (* 2 x)) 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (+ (* 4 (/ (pow x 2) (pow s 2))) (/ x s))))))
(+ 1 (* -1 (/ (+ x (* 2 x)) s)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (pow s 2)))) (+ (* 2 (/ x s)) (/ x s)))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* -1 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3)))))) (pow s 3)))) (+ (* -1 (/ (pow (+ x (* 2 x)) 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (+ (* 4 (/ (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))))))
(/ (- (* 1/2 (/ x s)) 1) s)
(* s (- (* 1/2 (/ (pow x 2) s)) x))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s))))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)
(/ (- (* 1/6 (/ (pow x 3) (pow s 2))) (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))) s)
(/ (- (* -1/24 (/ (pow x 4) (pow s 3))) (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))) s)
(+ 1 (* -1 (/ (+ (* -1 x) (* 2 x)) s)))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (pow s 2)))) (+ (* -1 (/ x s)) (* 2 (/ x s))))
(- (+ 1 (* -1 (/ (+ (* -4 (pow x 3)) (+ (* -2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (pow x 3))))) (pow s 3)))) (+ (* -4 (/ (pow x 2) (pow s 2))) (+ (* -1 (/ x s)) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2))
(+ 1/2 (* -1 (/ (- (* -1/2 (+ x (* -2 x))) (* -1/4 (+ (* -2 x) (* -1 x)))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/2 (* (+ (* -2 x) (* -1 x)) (- (* -1/2 (+ x (* -2 x))) (* -1/4 (+ (* -2 x) (* -1 x)))))) (* -1/4 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))))) s)) (* -1/2 (+ x (* -2 x)))) (* -1/4 (+ (* -2 x) (* -1 x)))) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* -1 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2 (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2))))) (* 4 (pow x 3))))))) (+ (* -1/2 (* (+ (* -2 x) (* -1 x)) (- (* -1/2 (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/2 (* (+ (* -2 x) (* -1 x)) (- (* -1/2 (+ x (* -2 x))) (* -1/4 (+ (* -2 x) (* -1 x)))))) (* -1/4 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))))))) (+ (* -1/2 (* (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (- (* -1/2 (+ x (* -2 x))) (* -1/4 (+ (* -2 x) (* -1 x)))))) (* -1/4 (+ (* -4 (pow x 3)) (+ (* -1 (* (+ (* -2 x) (* -1 x)) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* -1 (* (+ (* -2 x) (* -1 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -1/3 (pow x 3)) (* -1/6 (pow x 3)))))))))) s)) (* -1/2 (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))))) (+ (* -1/2 (* (+ (* -2 x) (* -1 x)) (- (* -1/2 (+ x (* -2 x))) (* -1/4 (+ (* -2 x) (* -1 x)))))) (* -1/4 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))))) s)) (* -1/2 (+ x (* -2 x)))) (* -1/4 (+ (* -2 x) (* -1 x)))) s)))
(+ 1/2 (* -1/4 (/ (+ (* -2 x) (* -1 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) s)) (* -1/8 (/ (pow (+ (* -2 x) (* -1 x)) 2) s))) (* -1/4 (+ (* -2 x) (* -1 x)))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (+ (* -4 (pow x 3)) (+ (* -1 (* (+ (* -2 x) (* -1 x)) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* -1 (* (+ (* -2 x) (* -1 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (+ (* -1/3 (pow x 3)) (* -1/6 (pow x 3)))))) s)) (+ (* -1/8 (/ (* (+ (* -2 x) (* -1 x)) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) s)) (* 1/2 (/ (* (+ (* -2 x) (* -1 x)) (+ (* -1/4 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (* -1/8 (pow (+ (* -2 x) (* -1 x)) 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) (* -1/8 (pow (+ (* -2 x) (* -1 x)) 2)))) s)) (* -1/4 (+ (* -2 x) (* -1 x)))) s)))
(+ 2 (+ (* -2 (/ x s)) (* -1 (/ x s))))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -2 x) (* -1 x)) 2) s)) (+ (* 1/2 (/ (pow x 2) s)) (* 4 (/ (pow x 2) s)))) (+ (* -2 x) (* -1 x))) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow x 3) s)) (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) s)) (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) s)) (+ (* -1/3 (/ (pow x 3) s)) (* -1/6 (/ (pow x 3) s)))))) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) s)) (+ (* -2 x) (* -1 x))) s)))
(+ 1 (+ (* -2 (/ x s)) (* -1 (/ x s))))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -2 x) (* -1 x)) 2) s)) (+ (* 1/2 (/ (pow x 2) s)) (* 4 (/ (pow x 2) s)))) (+ (* -2 x) (* -1 x))) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow x 3) s)) (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) s)) (+ (* -1 (/ (* (+ (* -2 x) (* -1 x)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) s)) (+ (* -1/3 (/ (pow x 3) s)) (* -1/6 (/ (pow x 3) s)))))) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 1/2 (pow x 2)) (* 4 (pow x 2))))) s)) (+ (* -2 x) (* -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 (* -1/2 (/ x s))) s))
(* -1 (* s (- (* -1/2 (/ (pow x 2) s)) (* -1 x))))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s))
(+ 1 (+ (* -2 (/ x s)) (/ x s)))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow x 2) s)) (+ (* 1/2 (/ (pow x 2) s)) (* 2 (/ (pow x 2) s)))) (+ x (* -2 x))) s)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 3) s)) (+ (* -1/3 (/ (pow x 3) s)) (+ (* 1/6 (/ (pow x 3) s)) (+ (* 2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* 4 (/ (pow x 3) s)))))) (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) s)) (+ x (* -2 x))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))

Outputs
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) (- (* x (- (* 27/32 (/ 1 (pow s 4))) (* 1/4 (- (* 27 (/ 1 (pow s 4))) (* 189/8 (/ 1 (pow s 4))))))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (fma.f32 (-.f32 (.f32 (-.f32 (/.f32 #s(literal 27/32 binary32) (pow.f32 s #s(literal 4 binary32))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (pow.f32 s #s(literal 4 binary32))) #s(literal 27/8 binary32)) #s(literal 1/4 binary32))) x) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(+ 1/2 (* 3/4 (/ x s)))
(fma.f32 #s(literal 3/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -9/16 (/ (pow x 2) (pow s 3))) (* 3/4 (/ 1 s)))))
(fma.f32 (fma.f32 #s(literal -9/16 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 3/4 binary32) s)) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* x (- (* 27/32 (/ 1 (pow s 4))) (* 1/4 (- (* 27 (/ 1 (pow s 4))) (* 189/8 (/ 1 (pow s 4))))))) (* 9/16 (/ 1 (pow s 3))))) (* 3/4 (/ 1 s)))))
(fma.f32 (fma.f32 (-.f32 (.f32 (-.f32 (/.f32 #s(literal 27/32 binary32) (pow.f32 s #s(literal 4 binary32))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (pow.f32 s #s(literal 4 binary32))) #s(literal 27/8 binary32)) #s(literal 1/4 binary32))) x) (/.f32 #s(literal 9/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x) (/.f32 #s(literal 3/4 binary32) s)) x #s(literal 1/2 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -3 (/ x s)))
(fma.f32 #s(literal -3 binary32) (/.f32 x s) #s(literal 2 binary32))
(+ 2 (* x (- (* 9/2 (/ x (pow s 2))) (* 3 (/ 1 s)))))
(fma.f32 (-.f32 (.f32 (/.f32 x (.f32 s s)) #s(literal 9/2 binary32)) (/.f32 #s(literal 3 binary32) s)) x #s(literal 2 binary32))
(+ 2 (* x (- (* x (+ (* -9/2 (/ x (pow s 3))) (* 9/2 (/ 1 (pow s 2))))) (* 3 (/ 1 s)))))
(fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -9/2 binary32) (/.f32 #s(literal 9/2 binary32) (.f32 s s))) x) (/.f32 #s(literal 3 binary32) s)) x #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -3 (/ x s)))
(fma.f32 #s(literal -3 binary32) (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (- (* 9/2 (/ x (pow s 2))) (* 3 (/ 1 s)))))
(fma.f32 (-.f32 (.f32 (/.f32 x (.f32 s s)) #s(literal 9/2 binary32)) (/.f32 #s(literal 3 binary32) s)) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ (* -9/2 (/ x (pow s 3))) (* 9/2 (/ 1 (pow s 2))))) (* 3 (/ 1 s)))))
(fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -9/2 binary32) (/.f32 #s(literal 9/2 binary32) (.f32 s s))) x) (/.f32 #s(literal 3 binary32) s)) x #s(literal 1 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 (fma.f32 (-.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)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 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 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))
(* -1 (* s x))
(*.f32 (neg.f32 x) s)
(* x (- (* 1/2 x) s))
(.f32 (-.f32 (.f32 #s(literal 1/2 binary32) x) s) x)
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(.f32 (-.f32 (.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)
(* x (+ (* -1 s) (* 1/2 x)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x)
(* -1 x)
(neg.f32 x)
(* x (- (* 1/2 (/ x s)) 1))
(.f32 (-.f32 (.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 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 (+ (* -1/8 (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 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 #s(literal 0 binary32) x) #s(literal -1/2 binary32))) #s(literal 0 binary32)) (neg.f32 s)) (*.f32 #s(literal 1/4 binary32) x)) s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) 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 (* s (- (* -1/2 (/ (pow x 2) s)) (* -1 x))))
(.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) x) (neg.f32 s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) (neg.f32 s))
(* -1 (* s (+ x (* -1/2 (/ (pow x 2) s)))))
(.f32 (fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32) x) (neg.f32 s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
(* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 x x) s) #s(literal 1/2 binary32)) x) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (.f32 #s(literal -1/2 binary32) (.f32 x x))) (neg.f32 s)) x) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal 1/24 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (neg.f32 s)) (.f32 (*.f32 x x) #s(literal 1/2 binary32))) (neg.f32 s)) x) (neg.f32 s))
(+ 1 (+ (* -2 (/ x s)) (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow x 2) s)) (+ (* 1/2 (/ (pow x 2) s)) (* 2 (/ (pow x 2) s)))) (+ x (* -2 x))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -3/2 binary32) x) s))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 3) s)) (+ (* -1/3 (/ (pow x 3) s)) (+ (* 1/6 (/ (pow x 3) s)) (+ (* 2 (/ (* x (+ (* -4 (pow x 2)) (* 2 (pow x 2)))) s)) (* 4 (/ (pow x 3) s)))))) (+ (* -4 (pow x 2)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) s)) (+ x (* -2 x))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -4/3 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) #s(literal -2 binary32)) x) #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4 binary32))) s))) (.f32 (.f32 x x) #s(literal -3/2 binary32))) s) #s(literal -1 binary32) x) s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (/.f32 (.f32 x x) s) #s(literal -1/2 binary32)) x) s))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) (neg.f32 s)) x) s))

rewrite197.0ms (2.8%)

Memory

10.2MiB live, 199.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	567
0	109	561
1	409	531
2	3025	523
0	8761	507

Stop Event

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

Counts

27 → 547

Calls

Call 1

Inputs
(*.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)) (-.f32 #s(literal 1 binary32) (exp.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 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s))
(-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x))
(/.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))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))))
(fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32)))
(/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))
(fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(exp.f32 (/.f32 x s))
#s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s)))
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))
#s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))
(.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x)

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

eval77.0ms (1.1%)

Memory: -25.2MiB live, 102.5MiB allocated
Compiler: Compiled 31 415 to 3 085 computations (90.2% saved)

prune51.0ms (0.7%)

Memory

16.2MiB live, 74.6MiB allocated

Pruning

43 alts after pruning (33 fresh and 10 done)

	Pruned	Kept	Total
New	627	22	649
Fresh	14	11	25
Picked	2	3	5
Done	0	7	7
Total	643	43	686

Accuracy

99.9%

Counts

686 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.4%	(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))
✓	44.1%	(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32)))
	47.5%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg 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))) #s(literal 1 binary32) #s(literal 1 binary32)))
✓	99.7%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
	65.4%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
	38.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))) (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	38.2%	(/.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 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
	38.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
✓	38.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
	38.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
✓	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
✓	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
	38.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
✓	57.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 #s(approx (- ( (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))))
	20.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (neg.f32 x) s)) (*.f32 s s)))))
	32.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
	20.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 x (fabs.f32 (.f32 #s(literal -1/2 binary32) x)) (.f32 (neg.f32 x) s)) (*.f32 s s)))))
	32.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 s (neg.f32 x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
	32.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
	32.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
	20.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 x) s)) (.f32 s s)))))
	32.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
	17.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.f32 x) s)))))
	32.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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)))))
	30.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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))))
	13.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) s (.f32 s (.f32 (neg.f32 x) s))) (*.f32 s s)) s))))
✓	30.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))))
	39.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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)))))
	33.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 #s(approx (- (/ 1/2 ( s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (.f32 x x)))))
	66.2%	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 #s(literal -3 binary32) (/.f32 x s))) #s(literal 1 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
	28.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 #s(literal 0 binary32) x) #s(literal -1/2 binary32))) #s(literal 0 binary32)) (neg.f32 s)) (*.f32 #s(literal 1/4 binary32) x)) s)))
✓	38.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
	38.2%	#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (fma.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
	66.2%	#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal 2 binary32)))) (exp.f32 (/.f32 (neg.f32 x) s)))) (+.f32 (exp.f32 (neg.f32 (.f32 (/.f32 x s) #s(literal 3 binary32)))) #s(literal 1 binary32))))
	30.0%	#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 x) (.f32 #s(literal 1/4 binary32) (.f32 x #s(literal -3 binary32)))) s)))
	29.2%	#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 x x) #s(literal -3/2 binary32)) (.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 x) (.f32 #s(literal 1/4 binary32) (.f32 x #s(literal -3 binary32)))) (.f32 x #s(literal -3 binary32)))) (.f32 #s(literal 1/4 binary32) (fma.f32 (.f32 x x) #s(literal 9/2 binary32) (neg.f32 (.f32 (.f32 x x) #s(literal 9 binary32)))))) (neg.f32 s)) (.f32 #s(literal -1/2 binary32) x)) (.f32 (*.f32 x #s(literal -3 binary32)) #s(literal -1/4 binary32))) s)))

Compiler

Compiled 3 951 to 1 488 computations (62.3% saved)

regimes177.0ms (2.5%)

Memory

23.3MiB live, 154.9MiB allocated

Counts

77 → 1

Calls

Call 1

Inputs
#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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.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 (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 #s(approx (- ( (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 x) (.f32 #s(literal 1/4 binary32) (.f32 x #s(literal -3 binary32)))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 x) s)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 #s(approx (- (/ 1/2 ( s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (fma.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.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))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 s (neg.f32 x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 x (fabs.f32 (.f32 #s(literal -1/2 binary32) x)) (.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 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 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(approx (* (/ (- (/ (* 1/2 x) s) 1) s) x) (*.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 #s(approx (/ (- (/ ( 1/2 x) s) 1) s) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #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) (fma.f32 #s(approx (exp (/ (neg 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))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 #s(approx (* (/ 1/2 (* s s)) x) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) 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 (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 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (neg.f32 x))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) s (.f32 s (.f32 (neg.f32 x) s))) (*.f32 s s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (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 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #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 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x 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))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (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 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.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 (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) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) s)) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 (.f32 s s) x)) (.f32 (.f32 (.f32 s s) x) s)) (.f32 (.f32 (.f32 s s) x) (.f32 (.f32 s s) x))) (.f32 x x)))))
#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 x x) #s(literal -3/2 binary32)) (.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 x) (.f32 #s(literal 1/4 binary32) (.f32 x #s(literal -3 binary32)))) (.f32 x #s(literal -3 binary32)))) (.f32 #s(literal 1/4 binary32) (fma.f32 (.f32 x x) #s(literal 9/2 binary32) (neg.f32 (.f32 (.f32 x x) #s(literal 9 binary32)))))) (neg.f32 s)) (.f32 #s(literal -1/2 binary32) x)) (.f32 (*.f32 x #s(literal -3 binary32)) #s(literal -1/4 binary32))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 #s(literal 0 binary32) x) #s(literal -1/2 binary32))) #s(literal 0 binary32)) (neg.f32 s)) (*.f32 #s(literal 1/4 binary32) x)) s)))
(pow.f32 (pow.f32 #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 #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 -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))) (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))))
(/.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))))
#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal 2 binary32)))) (exp.f32 (/.f32 (neg.f32 x) s)))) (+.f32 (exp.f32 (neg.f32 (.f32 (/.f32 x s) #s(literal 3 binary32)))) #s(literal 1 binary32))))
(+.f32 (cosh.f32 (.f32 (log.f32 #s(approx (+ 1 ( (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) #s(literal -1 binary32))) (sinh.f32 (.f32 (log.f32 #s(approx (+ 1 ( (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) #s(literal -1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 #s(literal -3 binary32) (/.f32 x s))) #s(literal 1 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (/.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)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))

Outputs

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

Calls

7 calls:

69.0ms	(/.f32 (neg.f32 x) s)
21.0ms	x
20.0ms	(neg.f32 x)
18.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
18.0ms	s

Results

Accuracy	Segments	Branch
99.7%	1	`(neg.f32 x)`
99.7%	1	`(/.f32 (neg.f32 x) s)`
99.7%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
99.7%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
99.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
99.7%	1	`x`
99.7%	1	`s`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes123.0ms (1.7%)

Memory

-1.4MiB live, 131.9MiB allocated

Counts

71 → 1

Calls

Call 1

Inputs
#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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.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 (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 #s(approx (- ( (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 x) (.f32 #s(literal 1/4 binary32) (.f32 x #s(literal -3 binary32)))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 x) s)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 #s(approx (- (/ 1/2 ( s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (fma.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.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))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 s (neg.f32 x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 x (fabs.f32 (.f32 #s(literal -1/2 binary32) x)) (.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 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 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(approx (* (/ (- (/ (* 1/2 x) s) 1) s) x) (*.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 #s(approx (/ (- (/ ( 1/2 x) s) 1) s) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #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) (fma.f32 #s(approx (exp (/ (neg 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))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 #s(approx (* (/ 1/2 (* s s)) x) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) 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 (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 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (neg.f32 x))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) s (.f32 s (.f32 (neg.f32 x) s))) (*.f32 s s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (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 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #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 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x 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))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (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 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.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 (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) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) s)) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 (.f32 s s) x)) (.f32 (.f32 (.f32 s s) x) s)) (.f32 (.f32 (.f32 s s) x) (.f32 (.f32 s s) x))) (.f32 x x)))))
#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 x x) #s(literal -3/2 binary32)) (.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 x) (.f32 #s(literal 1/4 binary32) (.f32 x #s(literal -3 binary32)))) (.f32 x #s(literal -3 binary32)))) (.f32 #s(literal 1/4 binary32) (fma.f32 (.f32 x x) #s(literal 9/2 binary32) (neg.f32 (.f32 (.f32 x x) #s(literal 9 binary32)))))) (neg.f32 s)) (.f32 #s(literal -1/2 binary32) x)) (.f32 (*.f32 x #s(literal -3 binary32)) #s(literal -1/4 binary32))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (.f32 (.f32 #s(literal 0 binary32) x) #s(literal -1/2 binary32))) #s(literal 0 binary32)) (neg.f32 s)) (*.f32 #s(literal 1/4 binary32) x)) s)))
(pow.f32 (pow.f32 #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 #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 -1/2 binary32)) #s(literal 2 binary32))

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

Calls

7 calls:

26.0ms	s
22.0ms	x
16.0ms	(neg.f32 x)
15.0ms	(/.f32 (neg.f32 x) s)
14.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
99.7%	1	`(neg.f32 x)`
99.7%	1	`(/.f32 (neg.f32 x) s)`
99.7%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
99.7%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
99.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
99.7%	1	`x`
99.7%	1	`s`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes135.0ms (1.9%)

Memory

-23.1MiB live, 174.0MiB allocated

Counts

67 → 1

Calls

Call 1

Inputs
#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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.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 (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 #s(approx (- ( (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 x) (.f32 #s(literal 1/4 binary32) (.f32 x #s(literal -3 binary32)))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 x) s)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 #s(approx (- (/ 1/2 ( s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (fma.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.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))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 s (neg.f32 x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 x (fabs.f32 (.f32 #s(literal -1/2 binary32) x)) (.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 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 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(approx (* (/ (- (/ (* 1/2 x) s) 1) s) x) (*.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 #s(approx (/ (- (/ ( 1/2 x) s) 1) s) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #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) (fma.f32 #s(approx (exp (/ (neg 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))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 #s(approx (* (/ 1/2 (* s s)) x) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) 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 (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 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (neg.f32 x))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) s (.f32 s (.f32 (neg.f32 x) s))) (*.f32 s s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (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 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #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 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x 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))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (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 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.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 (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) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) s)) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 (.f32 s s) x)) (.f32 (.f32 (.f32 s s) x) s)) (.f32 (.f32 (.f32 s s) x) (.f32 (.f32 s s) x))) (.f32 x x)))))
#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 x x) #s(literal -3/2 binary32)) (.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 x) (.f32 #s(literal 1/4 binary32) (.f32 x #s(literal -3 binary32)))) (.f32 x #s(literal -3 binary32)))) (.f32 #s(literal 1/4 binary32) (fma.f32 (.f32 x x) #s(literal 9/2 binary32) (neg.f32 (.f32 (.f32 x x) #s(literal 9 binary32)))))) (neg.f32 s)) (.f32 #s(literal -1/2 binary32) x)) (.f32 (*.f32 x #s(literal -3 binary32)) #s(literal -1/4 binary32))) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32)))

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

Calls

7 calls:

39.0ms	s
18.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
18.0ms	(neg.f32 x)
16.0ms	(/.f32 (neg.f32 x) s)
16.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`(neg.f32 x)`
99.7%	1	`(/.f32 (neg.f32 x) s)`
99.7%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
99.7%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
99.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
99.7%	1	`x`
99.7%	1	`s`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes128.0ms (1.8%)

Memory

0.2MiB live, 159.2MiB allocated

Counts

65 → 2

Calls

Call 1

Inputs
#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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.f32 x) s)))))
(/.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 (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 #s(approx (- ( (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)))))
#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 x) (.f32 #s(literal 1/4 binary32) (.f32 x #s(literal -3 binary32)))) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 x) s)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 #s(approx (- (/ 1/2 ( s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (fma.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) #s(approx (- 2 (/ x s)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.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))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 s (neg.f32 x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 (fma.f32 x (fabs.f32 (.f32 #s(literal -1/2 binary32) x)) (.f32 (neg.f32 x) s)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 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 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32)) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x s))))))) (fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(approx (* (/ (- (/ (* 1/2 x) s) 1) s) x) (*.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 #s(approx (/ (- (/ ( 1/2 x) s) 1) s) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s)) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (neg.f32 x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 #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) (fma.f32 #s(approx (exp (/ (neg 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))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 #s(approx (* (/ 1/2 (* s s)) x) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 x (/.f32 #s(literal 1/2 binary32) 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 (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 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (neg.f32 x))) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) s (.f32 s (.f32 (neg.f32 x) s))) (*.f32 s s)) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (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 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #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 (* (sqrt (neg (/ -1 (exp (/ x s))))) (sqrt (neg (/ -1 (exp (/ x 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))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (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 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (.f32 (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (.f32 (/.f32 #s(approx (+ ( -1/6 (/ x s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 x s))) (.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 (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) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) s)) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 (.f32 s s) x)) (.f32 (.f32 (.f32 s s) x) s)) (.f32 (.f32 (.f32 s s) x) (.f32 (.f32 s s) x))) (.f32 x x)))))
#s(approx (* (/ 1 (+ (pow (exp (/ x s)) -3) 1)) (+ (pow (exp (/ x s)) -2) (- 1 (exp (/ (neg x) s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 x x) #s(literal -3/2 binary32)) (.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 x) (.f32 #s(literal 1/4 binary32) (.f32 x #s(literal -3 binary32)))) (.f32 x #s(literal -3 binary32)))) (.f32 #s(literal 1/4 binary32) (fma.f32 (.f32 x x) #s(literal 9/2 binary32) (neg.f32 (.f32 (.f32 x x) #s(literal 9 binary32)))))) (neg.f32 s)) (.f32 #s(literal -1/2 binary32) x)) (.f32 (*.f32 x #s(literal -3 binary32)) #s(literal -1/4 binary32))) s)))

Outputs

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

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

Calls

7 calls:

37.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
18.0ms	x
17.0ms	(neg.f32 x)
15.0ms	s
14.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
92.7%	2	`(neg.f32 x)`
92.7%	2	`(/.f32 (neg.f32 x) s)`
92.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
92.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
92.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
92.7%	2	`x`
65.4%	1	`s`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes50.0ms (0.7%)

Memory

8.0MiB live, 100.3MiB allocated

Counts

57 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

14.0ms	(/.f32 (neg.f32 x) s)
12.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
11.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
11.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
92.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
92.7%	2	`(/.f32 (neg.f32 x) s)`
92.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
92.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes37.0ms (0.5%)

Memory

-5.5MiB live, 47.5MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

10.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
10.0ms	(/.f32 (neg.f32 x) s)
8.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
8.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
92.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
92.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
92.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
92.7%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes29.0ms (0.4%)

Memory

-24.1MiB live, 68.9MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

5.0ms	s
4.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms	x
4.0ms	(neg.f32 x)
4.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
44.8%	2	`s`
61.8%	2	`(neg.f32 x)`
61.8%	2	`x`
65.5%	2	`(/.f32 (neg.f32 x) s)`
65.5%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
65.5%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
65.5%	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)

regimes19.0ms (0.3%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
50.8%	2	`x`
50.8%	2	`(neg.f32 x)`
52.8%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
52.8%	2	`(/.f32 (neg.f32 x) s)`
52.8%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
52.8%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes11.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

3.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(/.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))
2.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
51.3%	2	`(/.f32 (neg.f32 x) s)`
51.3%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
51.3%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
51.3%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes15.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

Calls

6 calls:

3.0ms	x
3.0ms	(neg.f32 x)
3.0ms	(/.f32 (neg.f32 x) s)
2.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
50.1%	2	`x`
50.1%	2	`(neg.f32 x)`
50.3%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
50.3%	2	`(/.f32 (neg.f32 x) s)`
50.3%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
50.3%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes11.0ms (0.1%)

Memory

-40.5MiB live, 7.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
50.3%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
50.3%	2	`(/.f32 (neg.f32 x) s)`
50.3%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
50.3%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes7.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

Calls

6 calls:

1.0ms	x
1.0ms	(neg.f32 x)
1.0ms	(/.f32 (neg.f32 x) s)
1.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
1.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
48.6%	2	`x`
48.6%	2	`(neg.f32 x)`
48.8%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
48.8%	2	`(/.f32 (neg.f32 x) s)`
48.8%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
48.8%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes7.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	(neg.f32 x)
1.0ms	s
1.0ms	x
1.0ms	(/.f32 (neg.f32 x) s)
1.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
38.2%	1	`s`
38.2%	1	`x`
38.2%	1	`(neg.f32 x)`
38.2%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
38.2%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
38.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
38.2%	1	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.983235734515168e+19	6.282939702457638e+24

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	45.53807830810547	57.09988021850586

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	45.53807830810547	57.09988021850586

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.983235734515168e+19	6.282939702457638e+24

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.983235734515168e+19	6.282939702457638e+24

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.181692123413086	1.9999194145202637

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.181692123413086	1.9999194145202637

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.181692123413086	1.9999194145202637

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.4184003472328186	14.651283264160156

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify70.0ms (1%)

Memory

-12.0MiB live, 77.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	123	607
1	215	591
2	470	591
3	1465	591
4	4618	588

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))) (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 100000002004087734272 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 #s(approx (- (/ 1/2 ( s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (.f32 x x))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 100000002004087734272 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 #s(approx (- (/ 1/2 ( s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (.f32 x x))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 100000002004087734272 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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 x) s)) (.f32 s s))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 #s(approx (- ( (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 #s(approx (- ( (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 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))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.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) (*.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))) (sqrt.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 100000002004087734272 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 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))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 100000002004087734272 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (*.f32 x x))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 #s(approx (- (/ 1/2 ( s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (.f32 x x))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.f32 #s(approx (- (/ 1/2 ( s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (.f32 x x))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 100000002004087734272 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (.f32 #s(approx (- (/ 1/2 ( s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (.f32 x x))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 100000002004087734272 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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (.f32 #s(approx (- (/ 1/2 ( s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (.f32 x x))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 100000002004087734272 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 (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) (/.f32 #s(approx (- (* (* x x) 1/2) (* s x)) (.f32 (neg.f32 x) s)) (.f32 s s))))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (- (* (/ (+ (* -1/6 (/ x s)) 1/2) (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 #s(approx (- ( (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (.f32 #s(approx (- ( (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32)))))
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 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))) #s(approx (+ (* (/ (- (/ (* 1/2 x) s) 1) s) x) 2) #s(approx (/ (- (* (* x x) 1/2) (* s x)) (* s s)) (/.f32 (neg.f32 x) s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

soundness1.4s (20%)

Memory

-13.3MiB live, 806.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	705	3354
1	2514	3040
0	8276	2865
0	140	377
1	435	345
2	1607	341
0	8697	311
0	41	306
0	71	273
1	254	269
2	1606	249
0	8802	249
0	419	1742
1	1457	1501
2	5961	1481
0	8151	1396
0	439	1750
1	1514	1506
2	6079	1486
0	8307	1406
0	8	27
0	13	27
1	43	27
2	218	27
3	2032	27
0	9071	27
0	71	567
0	109	561
1	409	531
2	3025	523
0	8761	507

Stop Event

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

Compiler

Compiled 919 to 420 computations (54.3% saved)

preprocess51.0ms (0.7%)

Memory: 7.6MiB live, 52.7MiB allocated
Compiler: Compiled 1 210 to 264 computations (78.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze50.0ms (0.7%)

sample1.6s (22.4%)

explain91.0ms (1.3%)

preprocess116.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify84.0ms (1.2%)

localize20.0ms (0.3%)

series9.0ms (0.1%)

simplify145.0ms (2.1%)

rewrite199.0ms (2.8%)

eval83.0ms (1.2%)

prune24.0ms (0.3%)

simplify213.0ms (3%)

localize119.0ms (1.7%)

series53.0ms (0.7%)

simplify183.0ms (2.6%)

rewrite206.0ms (2.9%)

eval64.0ms (0.9%)

prune53.0ms (0.7%)

simplify102.0ms (1.4%)

localize133.0ms (1.9%)

series23.0ms (0.3%)

simplify145.0ms (2%)

rewrite180.0ms (2.5%)

eval65.0ms (0.9%)

prune50.0ms (0.7%)

simplify91.0ms (1.3%)

localize142.0ms (2%)

series51.0ms (0.7%)

simplify186.0ms (2.6%)

rewrite197.0ms (2.8%)

eval77.0ms (1.1%)

prune51.0ms (0.7%)

regimes177.0ms (2.5%)

regimes123.0ms (1.7%)

regimes135.0ms (1.9%)

regimes128.0ms (1.8%)

regimes50.0ms (0.7%)

regimes37.0ms (0.5%)

regimes29.0ms (0.4%)

regimes19.0ms (0.3%)

regimes11.0ms (0.2%)

regimes15.0ms (0.2%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify70.0ms (1%)

soundness1.4s (20%)

preprocess51.0ms (0.7%)

end0.0ms (0%)

Profiling