Metrics for Logistic function

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze40.0ms (0.5%)

Memory

-0.5MiB live, 80.9MiB 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)

sample1.0s (14.4%)

Memory

23.1MiB live, 1 993.7MiB allocated

Samples

753.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 571.0ms

const: 158.0ms (27.7% of total)

ival-div: 122.0ms (21.4% of total)

ival-<=: 75.0ms (13.1% of total)

ival-exp: 71.0ms (12.4% of total)

ival-add: 66.0ms (11.6% of total)

ival-neg: 53.0ms (9.3% of total)

ival-and: 11.0ms (1.9% of total)

exact: 11.0ms (1.9% of total)

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

Bogosity

explain118.0ms (1.6%)

Memory

25.3MiB live, 264.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
1	5	(-2.5482510604060146e-35 4.3308866650054234e-38)	1	(1.5452960678970357e-21 1.8468328730160333e-23)	`(exp.f32 (/.f32 (neg.f32 x) s))`
0	0	-	0	-	`s`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
0	0	-	0	-	`(neg.f32 x)`
0	0	-	0	-	`(/.f32 (neg.f32 x) s)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 x) s))`	sensitivity	5	5

Confusion

	Predicted +	Predicted -
+	0	1
-	5	250

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	0
-	5	4	246

Precision?

0.1

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 133 to 48 computations (63.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 7.0ms (40.5% of total)

ival-exp: 4.0ms (23.1% of total)

ival-neg: 3.0ms (17.4% of total)

ival-add: 2.0ms (11.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess30.0ms (0.4%)

Memory

-24.2MiB live, 54.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	41
1	50	41
2	113	41
3	271	41
4	554	41
5	721	41
6	793	41
7	842	41
8	901	41
9	903	41
0	8	9
0	13	9
1	21	9
2	31	9
3	44	9
4	56	9
5	70	9
6	91	9
7	112	9
8	116	9
0	116	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB 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	31	30
3	44	30
4	56	30
5	70	30
6	91	30
7	112	30
8	116	30
0	116	30

Stop Event

1×	iter limit
1×	saturated
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

localize22.0ms (0.3%)

Memory

9.9MiB live, 49.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f32 x)
accuracy	0.015625	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.02734375	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy	0.059430934065627994	(exp.f32 (/.f32 (neg.f32 x) s))

Samples

16.0ms

256×

valid

Compiler

Compiled 62 to 18 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (33.5% of total)

ival-exp: 3.0ms (33.5% of total)

ival-add: 1.0ms (11.2% of total)

ival-neg: 1.0ms (11.2% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-29.4MiB live, 19.9MiB 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
6.0ms	x	@	inf	((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x))
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))
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))

simplify262.0ms (3.6%)

Memory

37.6MiB live, 302.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	369
1	378	363
2	1153	357
3	3907	337
0	8432	299

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

rewrite175.0ms (2.4%)

Memory

-7.9MiB live, 227.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	27
1	48	27
2	255	27
3	2101	27
0	8465	26

Stop Event

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

Counts

5 → 710

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) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (fma.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (+.f32 (exp.f32 (.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))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #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 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (+.f32 (exp.f32 (.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)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.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) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (expm1.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (fma.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (exp.f32 (*.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) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 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) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.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) (exp.f32 (.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) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal -1 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) #s(literal -1 binary32)) (neg.f32 (-.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 -4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)) #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 -4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))))) (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #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 -4 binary32)))) #s(literal 1 binary32)) (/.f32 (+.f32 (exp.f32 (.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 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -6 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -4 binary32)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32)) (fma.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)) #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 -6 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))))) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -4 binary32)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.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) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -9 binary32)) #s(literal 1 binary32))) (/.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))))) (/.f32 (fma.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32)) (-.f32 #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 -9 binary32)) #s(literal 1 binary32))) (/.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)))) (/.f32 (fma.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32)) (fma.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 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 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -9 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (fma.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) (expm1.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (.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 -6 binary32)))) (/.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))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32)))) (-.f32 #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 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -6 binary32)))) (/.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)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.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 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -6 binary32)))) #s(literal 1 binary32)) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -4 binary32)) (exp.f32 (.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 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -6 binary32)))) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.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) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.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)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) (fma.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 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 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (expm1.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -4 binary32)))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)))))
(.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (expm1.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -6 binary32)))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -4 binary32)) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32)))))
(.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -4 binary32)))) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)))))
(.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -6 binary32)))) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -4 binary32)) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32)))))
(.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (fma.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal -1 binary32) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -4 binary32)))) (/.f32 (neg.f32 (-.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)))))
(.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (fma.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal -1 binary32) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -6 binary32)))) (/.f32 (neg.f32 (-.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -4 binary32)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32)))))
(.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -4 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)))))
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(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (neg.f32 x)) (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) x) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32))
(fma.f32 (neg.f32 x) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 x (log.f32 (exp.f32 #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 x) #s(literal 0 binary32))
(pow.f32 (/.f32 x (neg.f32 (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (neg.f32 (*.f32 x x)) (pow.f32 x #s(literal 3 binary32))) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(+.f32 (neg.f32 x) #s(literal 0 binary32))
(neg.f32 (log.f32 (exp.f32 x)))
(neg.f32 x)

eval130.0ms (1.8%)

Memory: -26.5MiB live, 153.0MiB allocated
Compiler: Compiled 19 423 to 2 722 computations (86% saved)

prune21.0ms (0.3%)

Memory

9.8MiB live, 48.1MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	716	13	729
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	716	14	730

Accuracy

99.9%

Counts

730 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
▶	44.3%	(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
	44.3%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
	81.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))))
▶	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	36.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
	38.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
▶	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
	38.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	44.5%	(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))))
	45.3%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.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) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal -1 binary32)))
	43.4%	(.f32 (/.f32 (-.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 -4 binary32)))) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)))
▶	36.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 465 to 348 computations (25.2% saved)

simplify147.0ms (2%)

Memory

-9.8MiB live, 106.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	64	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
cost-diff	128	(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
cost-diff	3104	(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
cost-diff	4096	(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))))
cost-diff	0	(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff	32	(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
cost-diff	128	(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
cost-diff	3104	(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
cost-diff	0	(/.f32 x s)
cost-diff	0	(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
cost-diff	0	(exp.f32 (/.f32 x s))
cost-diff	0	(+.f32 #s(literal 1 binary32) (/.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	288	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	261
0	56	249
1	90	249
2	163	249
3	265	249
4	442	249
5	812	247
6	1675	247
7	3046	247
8	4043	247
9	5264	247
10	7008	247
0	8074	234

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

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 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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)))
(exp.f32 (/.f32 (neg.f32 x) s))
(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 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))
(/.f32 x s)
x
s
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) s)
#s(literal 1/2 binary32)
#s(literal -1 binary32)
#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 (/.f32 x s) #s(literal -2 binary32)))))
(/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(neg.f32 (expm1.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
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(neg.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))
(*.f32 (/.f32 x s) #s(literal -2 binary32))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
(/.f32 x s)
#s(literal -2 binary32)
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))))
(/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(/.f32 #s(literal -1 binary32) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
(neg.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))
(exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))
(*.f32 (/.f32 x s) #s(literal -2 binary32))
(*.f32 #s(literal -2 binary32) (/.f32 x s))
(/.f32 x s)
x
s
#s(literal -2 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
(/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)

localize110.0ms (1.5%)

Memory

23.0MiB live, 143.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
accuracy	2.2597593623222845	(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
accuracy	6.073875413993458	(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))))
accuracy	6.198087666821562	(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
accuracy	0.059430934065627994	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	2.2128843623222845	(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
accuracy	6.198087666821562	(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))
accuracy	6.273803470387208	(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.02734375	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
accuracy	13.882745755104265	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))
accuracy	20.41040093886543	(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
accuracy	21.118422882532485	(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
accuracy	11.897315794689117	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy	0.015625	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
accuracy	0.02734375	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
accuracy	0.02734375	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
accuracy	0.07082850793965634	(exp.f32 (/.f32 x s))

Samples

29.0ms	142×	0	valid
28.0ms	43×	1	valid
21.0ms	71×	0	exit

Compiler

Compiled 501 to 69 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 26.0ms (47.1% of total)

ival-exp: 7.0ms (12.7% of total)

ival-expm1: 5.0ms (9.1% of total)

ival-add: 5.0ms (9.1% of total)

ival-mult: 5.0ms (9.1% of total)

ival-neg: 3.0ms (5.4% of total)

adjust: 2.0ms (3.6% of total)

ival-sub: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

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

series38.0ms (0.5%)

Memory

-0.5MiB live, 35.9MiB allocated

Counts

17 → 118

Calls

Call 1

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

Outputs
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 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 (/ 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)
(* 2 (/ x s))
(* x (+ (* -2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(* x (+ (* x (- (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 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)))
(* 1/2 (/ s x))
(/ (+ (* -1/12 (/ (pow x 2) s)) (* 1/2 s)) x)
(/ (+ (* 1/2 s) (* (pow x 2) (- (* 7/720 (/ (pow x 2) (pow s 3))) (* 1/12 (/ 1 s))))) x)
(/ (+ (* 1/2 s) (* (pow x 2) (- (* (pow x 2) (+ (* -31/30240 (/ (pow x 2) (pow s 5))) (* 7/720 (/ 1 (pow s 3))))) (* 1/12 (/ 1 s))))) x)
(/ (+ (* 1/2 s) (* 1/2 x)) x)
(/ (+ (* 1/2 s) (* x (+ 1/2 (* 1/6 (/ x s))))) x)
(/ (+ (* 1/2 s) (* x (+ 1/2 (* x (+ (* -1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s))))))) x)
-1
(- (* 1/2 (/ x s)) 1)
(/ 1 (exp (/ x s)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(exp (/ x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(- 1 (exp (* -2 (/ x s))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(- 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(- (/ 1 (- 1 (exp (* -2 (/ x s))))) (/ (exp (* -1 (/ x s))) (- 1 (exp (* -2 (/ x s))))))
(/ (exp (* -1 (/ x s))) (- 1 (exp (* -2 (/ x s)))))
(/ 1 (- 1 (exp (* -2 (/ x s)))))
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 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 s) (* 1/2 x)) s)
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(+ 1 (+ (* 1/2 (/ (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))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (- (* -2 (/ (pow x 2) s)) (* -2 x)) s)
(/ (- (* 4/3 (/ (pow x 3) (pow s 2))) (+ (* -2 x) (* 2 (/ (pow x 2) s)))) s)
(/ (- (* -2/3 (/ (pow x 4) (pow s 3))) (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s))))) s)
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
(/ (- (* -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 (/ 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 (/ (+ (* -1/2 x) (* 1/4 x)) s)))
(- (+ 1/2 (* -1 (/ (* x (- (* 1/4 x) (* 1/3 x))) (pow s 2)))) (+ (* -1/2 (/ x s)) (+ (* -1/12 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ x s)) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (/ (* x (+ (* -1/2 x) (* 1/3 x))) (pow s 2)))))))
(- (+ 1/2 (+ (* -1 (/ (* x (- (* -1/12 (pow x 2)) (+ (* -1 (* x (- (* 1/4 x) (* 1/3 x)))) (* -1/6 (pow x 2))))) (pow s 3))) (+ (* -1 (/ (* x (- (* 1/4 x) (* 1/3 x))) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* 1/4 x) (* 1/3 x))) (pow s 3)))))) (+ (* -2/3 (/ (* (pow x 2) (+ (* -1/2 x) (* 1/3 x))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* -1/12 (/ (pow x 2) (pow s 2))) (+ (* 1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/4 (/ x s)) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (+ (/ (* x (+ (* -1/2 x) (* 1/3 x))) (pow s 2)) (/ (* x (+ (* -1/6 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (+ (* -1/2 x) (* 1/3 x)))))) (pow s 3)))))))))))
(* s (- (+ (* 1/4 (/ x (pow s 2))) (* 1/2 (/ 1 x))) (* 1/3 (/ x (pow s 2)))))
(* s (- (+ (* -1/12 (/ (pow x 2) (pow s 3))) (+ (* 1/4 (/ x (pow s 2))) (* 1/2 (/ 1 x)))) (+ (* -1 (/ (* x (- (* 1/4 x) (* 1/3 x))) (pow s 3))) (+ (* -1/6 (/ (pow x 2) (pow s 3))) (* 1/3 (/ x (pow s 2)))))))
(* s (- (+ (* -1/12 (/ (pow x 2) (pow s 3))) (+ (* 1/48 (/ (pow x 3) (pow s 4))) (+ (* 1/4 (/ x (pow s 2))) (* 1/2 (/ 1 x))))) (+ (* -1 (/ (* x (- (* -1/12 (pow x 2)) (+ (* -1 (* x (- (* 1/4 x) (* 1/3 x)))) (* -1/6 (pow x 2))))) (pow s 4))) (+ (* -1 (/ (* x (- (* 1/4 x) (* 1/3 x))) (pow s 3))) (+ (* -1/6 (/ (pow x 2) (pow s 3))) (+ (* 1/15 (/ (pow x 3) (pow s 4))) (+ (* 1/3 (/ x (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* 1/4 x) (* 1/3 x))) (pow s 4))))))))))
(* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x))))
(* s (+ (* -1 (/ (+ (* -1/2 x) (* 1/3 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (+ (* -1 (/ (+ (* -1/6 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (+ (* -1/2 x) (* 1/3 x))))) (pow s 3))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))) (+ (* -1/2 (/ x (pow s 2))) (* 1/3 (/ 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 (* -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)))
(+ 1/2 (* -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 (/ (- (* 2 (/ (pow x 2) s)) (* 2 x)) s))
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) 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 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1/2 (+ (* -1/4 (/ x s)) (* 1/2 (/ x s))))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* x (- (* -1/4 x) (* -1/3 x))) (+ (* -1 (* x (+ (* -1/3 x) (* 1/2 x)))) (+ (* -1/12 (pow x 2)) (* 1/3 (pow x 2))))) s)) (+ (* -1/4 x) (* 1/2 x))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2/3 (* (pow x 2) (- (* -1/4 x) (* -1/3 x)))) (* x (- (* -1/12 (pow x 2)) (+ (* -1/6 (pow x 2)) (* x (- (* -1/4 x) (* -1/3 x))))))) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/3 x) (* 1/2 x)))) (+ (* -1/6 (pow x 2)) (* 1/3 (pow x 2)))))) (+ (* -2/3 (* (pow x 2) (+ (* -1/3 x) (* 1/2 x)))) (+ (* -1/48 (pow x 3)) (* 1/6 (pow x 3)))))) s)) (* x (- (* -1/4 x) (* -1/3 x)))) (+ (* -1 (* x (+ (* -1/3 x) (* 1/2 x)))) (+ (* -1/12 (pow x 2)) (* 1/3 (pow x 2))))) s)) (+ (* -1/4 x) (* 1/2 x))) s)))
(* -1 (* s (- (* -1/4 (/ x (pow s 2))) (+ (* -1/3 (/ x (pow s 2))) (* 1/2 (/ 1 x))))))
(* -1 (* s (- (+ (* -1 (/ (- (* -1/12 (pow x 2)) (+ (* -1/6 (pow x 2)) (* x (- (* -1/4 x) (* -1/3 x))))) (pow s 3))) (* -1/4 (/ x (pow s 2)))) (+ (* -1/3 (/ x (pow s 2))) (* 1/2 (/ 1 x))))))
(* -1 (* s (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/48 (pow x 3)) (+ (* -1/15 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* -1/4 x) (* -1/3 x)))) (* x (- (* -1/12 (pow x 2)) (+ (* -1/6 (pow x 2)) (* x (- (* -1/4 x) (* -1/3 x))))))))) s)) (* -1/12 (pow x 2))) (+ (* -1/6 (pow x 2)) (* x (- (* -1/4 x) (* -1/3 x))))) (pow s 3))) (* -1/4 (/ x (pow s 2)))) (+ (* -1/3 (/ x (pow s 2))) (* 1/2 (/ 1 x))))))
(* -1 (* s (- (* -1 (/ (+ 1/2 (+ (* -1/3 (/ x s)) (* 1/2 (/ x s)))) s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (- (* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/3 x) (* 1/2 x))) s)) (+ (* -1/6 (/ (pow x 2) s)) (* 1/3 (/ (pow x 2) s)))) (+ (* -1/3 x) (* 1/2 x))) s))) s)) (* 1/2 (/ 1 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (- 1 (exp (* (/ x s) -2))) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (- 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- (/ 1 (- 1 (exp (* (/ x s) -2)))) (/ (exp (/ (neg x) s)) (- 1 (exp (* (/ x s) -2))))) (/ (exp (/ (neg x) s)) (- 1 (exp (* (/ x s) -2)))) (/ 1 (- 1 (exp (* (/ x s) -2)))) (+ (* (/ 1/2 s) x) -1))
6.0ms	s	@	inf	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (- 1 (exp (* (/ x s) -2))) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (- 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- (/ 1 (- 1 (exp (* (/ x s) -2)))) (/ (exp (/ (neg x) s)) (- 1 (exp (* (/ x s) -2))))) (/ (exp (/ (neg x) s)) (- 1 (exp (* (/ x s) -2)))) (/ 1 (- 1 (exp (* (/ x s) -2)))) (+ (* (/ 1/2 s) x) -1))
6.0ms	s	@	0	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (- 1 (exp (* (/ x s) -2))) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (- 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- (/ 1 (- 1 (exp (* (/ x s) -2)))) (/ (exp (/ (neg x) s)) (- 1 (exp (* (/ x s) -2))))) (/ (exp (/ (neg x) s)) (- 1 (exp (* (/ x s) -2)))) (/ 1 (- 1 (exp (* (/ x s) -2)))) (+ (* (/ 1/2 s) x) -1))
5.0ms	s	@	-inf	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (- 1 (exp (* (/ x s) -2))) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (- 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- (/ 1 (- 1 (exp (* (/ x s) -2)))) (/ (exp (/ (neg x) s)) (- 1 (exp (* (/ x s) -2))))) (/ (exp (/ (neg x) s)) (- 1 (exp (* (/ x s) -2)))) (/ 1 (- 1 (exp (* (/ x s) -2)))) (+ (* (/ 1/2 s) x) -1))
4.0ms	x	@	inf	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (- 1 (exp (* (/ x s) -2))) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (- 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- (/ 1 (- 1 (exp (* (/ x s) -2)))) (/ (exp (/ (neg x) s)) (- 1 (exp (* (/ x s) -2))))) (/ (exp (/ (neg x) s)) (- 1 (exp (* (/ x s) -2)))) (/ 1 (- 1 (exp (* (/ x s) -2)))) (+ (* (/ 1/2 s) x) -1))

simplify169.0ms (2.3%)

Memory

14.6MiB live, 242.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	715	2789
1	2369	2345
0	8387	2194

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 118

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 (/ 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)
(* 2 (/ x s))
(* x (+ (* -2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(* x (+ (* x (- (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 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)))
(* 1/2 (/ s x))
(/ (+ (* -1/12 (/ (pow x 2) s)) (* 1/2 s)) x)
(/ (+ (* 1/2 s) (* (pow x 2) (- (* 7/720 (/ (pow x 2) (pow s 3))) (* 1/12 (/ 1 s))))) x)
(/ (+ (* 1/2 s) (* (pow x 2) (- (* (pow x 2) (+ (* -31/30240 (/ (pow x 2) (pow s 5))) (* 7/720 (/ 1 (pow s 3))))) (* 1/12 (/ 1 s))))) x)
(/ (+ (* 1/2 s) (* 1/2 x)) x)
(/ (+ (* 1/2 s) (* x (+ 1/2 (* 1/6 (/ x s))))) x)
(/ (+ (* 1/2 s) (* x (+ 1/2 (* x (+ (* -1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s))))))) x)
-1
(- (* 1/2 (/ x s)) 1)
(/ 1 (exp (/ x s)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(exp (/ x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(+ 1 (exp (* -1 (/ x s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(- 1 (exp (* -2 (/ x s))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(- 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(- (/ 1 (- 1 (exp (* -2 (/ x s))))) (/ (exp (* -1 (/ x s))) (- 1 (exp (* -2 (/ x s))))))
(/ (exp (* -1 (/ x s))) (- 1 (exp (* -2 (/ x s)))))
(/ 1 (- 1 (exp (* -2 (/ x s)))))
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 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 s) (* 1/2 x)) s)
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
(+ 1 (+ (* 1/2 (/ (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))))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(/ (- (* -2 (/ (pow x 2) s)) (* -2 x)) s)
(/ (- (* 4/3 (/ (pow x 3) (pow s 2))) (+ (* -2 x) (* 2 (/ (pow x 2) s)))) s)
(/ (- (* -2/3 (/ (pow x 4) (pow s 3))) (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s))))) s)
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
(/ (- (* -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 (/ 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 (/ (+ (* -1/2 x) (* 1/4 x)) s)))
(- (+ 1/2 (* -1 (/ (* x (- (* 1/4 x) (* 1/3 x))) (pow s 2)))) (+ (* -1/2 (/ x s)) (+ (* -1/12 (/ (pow x 2) (pow s 2))) (+ (* 1/4 (/ x s)) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (/ (* x (+ (* -1/2 x) (* 1/3 x))) (pow s 2)))))))
(- (+ 1/2 (+ (* -1 (/ (* x (- (* -1/12 (pow x 2)) (+ (* -1 (* x (- (* 1/4 x) (* 1/3 x)))) (* -1/6 (pow x 2))))) (pow s 3))) (+ (* -1 (/ (* x (- (* 1/4 x) (* 1/3 x))) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* 1/4 x) (* 1/3 x))) (pow s 3)))))) (+ (* -2/3 (/ (* (pow x 2) (+ (* -1/2 x) (* 1/3 x))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* -1/12 (/ (pow x 2) (pow s 2))) (+ (* 1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/4 (/ x s)) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (+ (/ (* x (+ (* -1/2 x) (* 1/3 x))) (pow s 2)) (/ (* x (+ (* -1/6 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (+ (* -1/2 x) (* 1/3 x)))))) (pow s 3)))))))))))
(* s (- (+ (* 1/4 (/ x (pow s 2))) (* 1/2 (/ 1 x))) (* 1/3 (/ x (pow s 2)))))
(* s (- (+ (* -1/12 (/ (pow x 2) (pow s 3))) (+ (* 1/4 (/ x (pow s 2))) (* 1/2 (/ 1 x)))) (+ (* -1 (/ (* x (- (* 1/4 x) (* 1/3 x))) (pow s 3))) (+ (* -1/6 (/ (pow x 2) (pow s 3))) (* 1/3 (/ x (pow s 2)))))))
(* s (- (+ (* -1/12 (/ (pow x 2) (pow s 3))) (+ (* 1/48 (/ (pow x 3) (pow s 4))) (+ (* 1/4 (/ x (pow s 2))) (* 1/2 (/ 1 x))))) (+ (* -1 (/ (* x (- (* -1/12 (pow x 2)) (+ (* -1 (* x (- (* 1/4 x) (* 1/3 x)))) (* -1/6 (pow x 2))))) (pow s 4))) (+ (* -1 (/ (* x (- (* 1/4 x) (* 1/3 x))) (pow s 3))) (+ (* -1/6 (/ (pow x 2) (pow s 3))) (+ (* 1/15 (/ (pow x 3) (pow s 4))) (+ (* 1/3 (/ x (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* 1/4 x) (* 1/3 x))) (pow s 4))))))))))
(* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x))))
(* s (+ (* -1 (/ (+ (* -1/2 x) (* 1/3 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (+ (* -1 (/ (+ (* -1/6 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (+ (* -1/2 x) (* 1/3 x))))) (pow s 3))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))) (+ (* -1/2 (/ x (pow s 2))) (* 1/3 (/ 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 (* -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)))
(+ 1/2 (* -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 (/ (- (* 2 (/ (pow x 2) s)) (* 2 x)) s))
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) 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 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(+ 1/2 (+ (* -1/4 (/ x s)) (* 1/2 (/ x s))))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* x (- (* -1/4 x) (* -1/3 x))) (+ (* -1 (* x (+ (* -1/3 x) (* 1/2 x)))) (+ (* -1/12 (pow x 2)) (* 1/3 (pow x 2))))) s)) (+ (* -1/4 x) (* 1/2 x))) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2/3 (* (pow x 2) (- (* -1/4 x) (* -1/3 x)))) (* x (- (* -1/12 (pow x 2)) (+ (* -1/6 (pow x 2)) (* x (- (* -1/4 x) (* -1/3 x))))))) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/3 x) (* 1/2 x)))) (+ (* -1/6 (pow x 2)) (* 1/3 (pow x 2)))))) (+ (* -2/3 (* (pow x 2) (+ (* -1/3 x) (* 1/2 x)))) (+ (* -1/48 (pow x 3)) (* 1/6 (pow x 3)))))) s)) (* x (- (* -1/4 x) (* -1/3 x)))) (+ (* -1 (* x (+ (* -1/3 x) (* 1/2 x)))) (+ (* -1/12 (pow x 2)) (* 1/3 (pow x 2))))) s)) (+ (* -1/4 x) (* 1/2 x))) s)))
(* -1 (* s (- (* -1/4 (/ x (pow s 2))) (+ (* -1/3 (/ x (pow s 2))) (* 1/2 (/ 1 x))))))
(* -1 (* s (- (+ (* -1 (/ (- (* -1/12 (pow x 2)) (+ (* -1/6 (pow x 2)) (* x (- (* -1/4 x) (* -1/3 x))))) (pow s 3))) (* -1/4 (/ x (pow s 2)))) (+ (* -1/3 (/ x (pow s 2))) (* 1/2 (/ 1 x))))))
(* -1 (* s (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/48 (pow x 3)) (+ (* -1/15 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* -1/4 x) (* -1/3 x)))) (* x (- (* -1/12 (pow x 2)) (+ (* -1/6 (pow x 2)) (* x (- (* -1/4 x) (* -1/3 x))))))))) s)) (* -1/12 (pow x 2))) (+ (* -1/6 (pow x 2)) (* x (- (* -1/4 x) (* -1/3 x))))) (pow s 3))) (* -1/4 (/ x (pow s 2)))) (+ (* -1/3 (/ x (pow s 2))) (* 1/2 (/ 1 x))))))
(* -1 (* s (- (* -1 (/ (+ 1/2 (+ (* -1/3 (/ x s)) (* 1/2 (/ x s)))) s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (- (* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/3 x) (* 1/2 x))) s)) (+ (* -1/6 (/ (pow x 2) s)) (* 1/3 (/ (pow x 2) s)))) (+ (* -1/3 x) (* 1/2 x))) s))) s)) (* 1/2 (/ 1 x)))))

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 (fma.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 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
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 (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (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 (fma.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 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))
(+ 1 (/ x s))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (fma.f32 (/.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 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 #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)
(* 2 (/ x s))
(*.f32 (/.f32 #s(literal 2 binary32) s) x)
(* x (+ (* -2 (/ x (pow s 2))) (* 2 (/ 1 s))))
(.f32 #s(literal -2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 x s)) x) s))
(* x (+ (* x (- (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 4/3 binary32) (pow.f32 s #s(literal 3 binary32))) x (/.f32 #s(literal -2 binary32) (.f32 s s))) x (/.f32 #s(literal 2 binary32) s)) x)
(* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 4 binary32))) #s(literal -2/3 binary32) (/.f32 #s(literal 4/3 binary32) (pow.f32 s #s(literal 3 binary32)))) x (/.f32 #s(literal -2 binary32) (.f32 s s))) x (/.f32 #s(literal 2 binary32) s)) x)
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 x s) s) (/.f32 #s(literal 1 binary32) s)) x)
(* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))) x (/.f32 #s(literal -1/2 binary32) (.f32 s s))) x (/.f32 #s(literal 1 binary32) s)) x)
(* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 x (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) x (/.f32 #s(literal -1/2 binary32) (.f32 s s))) x (/.f32 #s(literal 1 binary32) s)) x)
(* 1/2 (/ s x))
(*.f32 (/.f32 #s(literal 1/2 binary32) x) s)
(/ (+ (* -1/12 (/ (pow x 2) s)) (* 1/2 s)) x)
(/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/12 binary32) (.f32 #s(literal 1/2 binary32) s)) x)
(/ (+ (* 1/2 s) (* (pow x 2) (- (* 7/720 (/ (pow x 2) (pow s 3))) (* 1/12 (/ 1 s))))) x)
(/.f32 (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 s #s(literal 3 binary32))) x) x (/.f32 #s(literal -1/12 binary32) s)) (.f32 x x) (*.f32 #s(literal 1/2 binary32) s)) x)
(/ (+ (* 1/2 s) (* (pow x 2) (- (* (pow x 2) (+ (* -31/30240 (/ (pow x 2) (pow s 5))) (* 7/720 (/ 1 (pow s 3))))) (* 1/12 (/ 1 s))))) x)
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -31/30240 binary32) (.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) (/.f32 #s(literal 7/720 binary32) (pow.f32 s #s(literal 3 binary32)))) (.f32 x x) (/.f32 #s(literal -1/12 binary32) s)) (.f32 x x) (.f32 #s(literal 1/2 binary32) s)) x)
(/ (+ (* 1/2 s) (* 1/2 x)) x)
(*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 s x) x))
(/ (+ (* 1/2 s) (* x (+ 1/2 (* 1/6 (/ x s))))) x)
(/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x (*.f32 #s(literal 1/2 binary32) s)) x)
(/ (+ (* 1/2 s) (* x (+ 1/2 (* x (+ (* -1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s))))))) x)
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/90 binary32) (.f32 x (/.f32 x (pow.f32 s #s(literal 3 binary32)))) (/.f32 #s(literal 1/6 binary32) s)) x #s(literal 1/2 binary32)) x (.f32 #s(literal 1/2 binary32) s)) x)
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(/ 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))
(exp (/ x s))
(exp.f32 (/.f32 x s))
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(+ 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 (fma.f32 #s(literal 0 binary32) x (fma.f32 (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32)) s) #s(literal 1/8 binary32) (.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32)) #s(literal -1/4 binary32)))) #s(literal 0 binary32)) (neg.f32 s))) s))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) x) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/3 binary32) (/.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32)) s))) 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 x (/.f32 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 #s(literal 1/2 binary32) x) x)) (neg.f32 s)) 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)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 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 #s(literal 1/2 binary32) x) x)) s)) s))
(* -1 (/ (- (* 2 (/ (pow x 2) s)) (* 2 x)) s))
(.f32 #s(literal -2 binary32) (/.f32 (-.f32 (.f32 x (/.f32 x s)) x) s))
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(/.f32 (fma.f32 #s(literal -2 binary32) x (/.f32 (fma.f32 (.f32 #s(literal -2 binary32) x) x (.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 4/3 binary32))) (neg.f32 s))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))
(/.f32 (fma.f32 #s(literal -2 binary32) x (/.f32 (fma.f32 (.f32 #s(literal -2 binary32) x) x (/.f32 (fma.f32 #s(literal -4/3 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal 2/3 binary32))) (neg.f32 s))) (neg.f32 s))) (neg.f32 s))
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) x) x (.f32 (*.f32 x x) #s(literal 1/4 binary32))) (neg.f32 s))) s))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (fma.f32 (.f32 #s(literal 1/12 binary32) x) x (/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -7/48 binary32)) (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) x) x (.f32 (.f32 x x) #s(literal 1/4 binary32))) x (.f32 (.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2/3 binary32)))) (neg.f32 s))) (.f32 #s(literal 1/12 binary32) (*.f32 x x))) (neg.f32 s))) s))
(* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s))
(/.f32 (fma.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) #s(literal -1 binary32) x) 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 (fma.f32 (.f32 #s(literal -1/2 binary32) x) x (/.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))) (neg.f32 s)) x) (neg.f32 s))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) x) x)) s)) s))
(+ 1/2 (+ (* -1/4 (/ x s)) (* 1/2 (/ x s))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* x (- (* -1/4 x) (* -1/3 x))) (+ (* -1 (* x (+ (* -1/3 x) (* 1/2 x)))) (+ (* -1/12 (pow x 2)) (* 1/3 (pow x 2))))) s)) (+ (* -1/4 x) (* 1/2 x))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) x) x (.f32 (*.f32 x x) #s(literal 1/4 binary32))) (neg.f32 s))) s))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2/3 (* (pow x 2) (- (* -1/4 x) (* -1/3 x)))) (* x (- (* -1/12 (pow x 2)) (+ (* -1/6 (pow x 2)) (* x (- (* -1/4 x) (* -1/3 x))))))) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/3 x) (* 1/2 x)))) (+ (* -1/6 (pow x 2)) (* 1/3 (pow x 2)))))) (+ (* -2/3 (* (pow x 2) (+ (* -1/3 x) (* 1/2 x)))) (+ (* -1/48 (pow x 3)) (* 1/6 (pow x 3)))))) s)) (* x (- (* -1/4 x) (* -1/3 x)))) (+ (* -1 (* x (+ (* -1/3 x) (* 1/2 x)))) (+ (* -1/12 (pow x 2)) (* 1/3 (pow x 2))))) s)) (+ (* -1/4 x) (* 1/2 x))) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (-.f32 (.f32 #s(literal 1/12 binary32) (.f32 x x)) (/.f32 (-.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) x) x (.f32 (.f32 x x) #s(literal 1/4 binary32))) x (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/12 binary32)) #s(literal 2/3 binary32))) (-.f32 (fma.f32 #s(literal 7/48 binary32) (pow.f32 x #s(literal 3 binary32)) (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32)) #s(literal -2/3 binary32))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))))) s)) (.f32 #s(literal 1/12 binary32) (.f32 x x))) (neg.f32 s))) s))
(* -1 (* s (- (* -1/4 (/ x (pow s 2))) (+ (* -1/3 (/ x (pow s 2))) (* 1/2 (/ 1 x))))))
(*.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/12 binary32) (/.f32 #s(literal -1/2 binary32) x)) (neg.f32 s))
(* -1 (* s (- (+ (* -1 (/ (- (* -1/12 (pow x 2)) (+ (* -1/6 (pow x 2)) (* x (- (* -1/4 x) (* -1/3 x))))) (pow s 3))) (* -1/4 (/ x (pow s 2)))) (+ (* -1/3 (/ x (pow s 2))) (* 1/2 (/ 1 x))))))
(.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) x) x (.f32 (.f32 x x) #s(literal 1/4 binary32))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/12 binary32) (/.f32 #s(literal -1/2 binary32) x))) (neg.f32 s))
(* -1 (* s (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/48 (pow x 3)) (+ (* -1/15 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* -1/4 x) (* -1/3 x)))) (* x (- (* -1/12 (pow x 2)) (+ (* -1/6 (pow x 2)) (* x (- (* -1/4 x) (* -1/3 x))))))))) s)) (* -1/12 (pow x 2))) (+ (* -1/6 (pow x 2)) (* x (- (* -1/4 x) (* -1/3 x))))) (pow s 3))) (* -1/4 (/ x (pow s 2)))) (+ (* -1/3 (/ x (pow s 2))) (* 1/2 (/ 1 x))))))
(.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 11/240 binary32)) (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) x) x (.f32 (.f32 x x) #s(literal 1/4 binary32))) x (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/12 binary32)) #s(literal 2/3 binary32)))) s) #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/4 binary32) x) x (.f32 (.f32 x x) #s(literal 1/4 binary32)))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/12 binary32) (/.f32 #s(literal -1/2 binary32) x))) (neg.f32 s))
(* -1 (* s (- (* -1 (/ (+ 1/2 (+ (* -1/3 (/ x s)) (* 1/2 (/ x s)))) s)) (* 1/2 (/ 1 x)))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 s)) (/.f32 #s(literal 1/2 binary32) x)) (neg.f32 s))
(* -1 (* s (- (* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/3 x) (* 1/2 x))) s)) (+ (* -1/6 (/ (pow x 2) s)) (* 1/3 (/ (pow x 2) s)))) (+ (* -1/3 x) (* 1/2 x))) s))) s)) (* 1/2 (/ 1 x)))))
(.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (-.f32 (.f32 x (/.f32 x s)) x))) s)) (neg.f32 s)) (/.f32 #s(literal 1/2 binary32) x)) (neg.f32 s))

rewrite271.0ms (3.7%)

Memory

-29.6MiB live, 297.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	184
0	56	158
1	231	158
2	1729	156
0	8961	156

Stop Event

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

Counts

17 → 1 164

Calls

Call 1

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

Outputs
(.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(*.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))))
(.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(*.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) #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) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(*.f32 (exp.f32 (/.f32 x s)) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 x s)))
(/.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (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) (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (neg.f32 x) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 x s)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(pow.f32 (exp.f32 x) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(exp.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)) (/.f32 (neg.f32 x) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
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(/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))))
(/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (exp.f32 (/.f32 x s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))))
(/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (neg.f32 (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (*.f32 (exp.f32 (/.f32 x s)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (neg.f32 (exp.f32 (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (exp.f32 (/.f32 x s)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))) (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s)))))
(pow.f32 (/.f32 (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))) #s(literal -1 binary32))
(pow.f32 (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (log.f32 (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s)))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -4 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) #s(literal 1 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -4 binary32))))) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -6 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -4 binary32)))) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -6 binary32))))) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -4 binary32)))) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) #s(literal -1 binary32))
(exp.f32 (neg.f32 (log1p.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))
(*.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))))
(.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) s) x))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x)))))))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 2 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 2 binary32))) (-.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) s) x)))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x))))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal -1 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x)))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x)))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) s) x))) (/.f32 (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 2 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x))))
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 2 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))))
(fma.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (neg.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x)))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x))

eval111.0ms (1.5%)

Memory: 31.8MiB live, 229.6MiB allocated
Compiler: Compiled 39 070 to 3 922 computations (90% saved)

prune98.0ms (1.4%)

Memory

-1.8MiB live, 111.4MiB allocated

Pruning

47 alts after pruning (42 fresh and 5 done)

	Pruned	Kept	Total
New	1 124	36	1 160
Fresh	2	6	8
Picked	1	4	5
Done	0	1	1
Total	1 127	47	1 174

Accuracy

99.9%

Counts

1 174 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	44.2%	(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))
✓	44.3%	(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
	44.3%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
	81.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))))
	28.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
	36.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
	64.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s))))))
	63.3%	(/.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))))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	38.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
	36.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
	38.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
	38.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 x (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
▶	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
▶	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
▶	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	51.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (.f32 (.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s))) (/.f32 (neg.f32 x) s))))
	28.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s))))
	31.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (.f32 s x)) (.f32 s s)))))
	30.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 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 (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x))))
	32.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
✓	44.5%	(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))))
	45.3%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.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) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal -1 binary32)))
	43.4%	(.f32 (/.f32 (-.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 -4 binary32)))) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)))
▶	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
✓	36.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 2 093 to 1 569 computations (25% saved)

simplify180.0ms (2.5%)

Memory

-9.3MiB live, 149.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))
cost-diff	160	(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
cost-diff	544	(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
cost-diff	0	(fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
cost-diff	416	(/.f32 (neg.f32 x) #s(literal -1 binary32))
cost-diff	0	(/.f32 x s)
cost-diff	0	(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
cost-diff	0	(/.f32 #s(literal 1/4 binary32) s)
cost-diff	0	(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
cost-diff	0	(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff	0	(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
cost-diff	0	(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
cost-diff	6112	(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	328
0	76	304
1	134	300
2	269	300
3	623	300
4	1913	300
5	3798	300
6	5057	300
7	6052	300
8	6513	300
9	6953	300
0	8060	296

Stop Event

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

Calls

Call 1

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

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

localize146.0ms (2%)

Memory

-11.5MiB live, 235.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.162441259768442	(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
accuracy	13.882745755104265	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))
accuracy	20.395125867356143	(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
accuracy	21.23590170496459	(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
accuracy	0.0546875	(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
accuracy	13.882745755104265	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32)))
accuracy	20.349389374682207	(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
accuracy	20.55633671453818	(fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))
accuracy	0.02734375	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
accuracy	13.882745755104265	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32)))
accuracy	16.45891908641435	(fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))
accuracy	17.3678573672046	(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
accuracy	0	(/.f32 #s(literal 1/4 binary32) s)
accuracy	13.699571659820394	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
accuracy	19.911424574003654	(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
accuracy	0.0078125	(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
accuracy	0.015625	(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
accuracy	0.059430934065627994	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.2421875	(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))

Samples

76.0ms	185×	0	valid
20.0ms	71×	0	exit

Compiler

Compiled 577 to 92 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-div: 37.0ms (48.2% of total)

ival-mult: 10.0ms (13% of total)

ival-add: 8.0ms (10.4% of total)

ival-pow: 6.0ms (7.8% of total)

ival-expm1: 5.0ms (6.5% of total)

ival-pow2: 4.0ms (5.2% of total)

ival-neg: 3.0ms (3.9% of total)

ival-exp: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

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

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

series20.0ms (0.3%)

Memory

-5.9MiB live, 32.1MiB allocated

Counts

22 → 75

Calls

Call 1

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

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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
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))))
(/ x s)
x
(* -1 x)
(* x (- (* 1/2 (/ x s)) 1))
-1
(- (* 1/2 (/ x s)) 1)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ 1/4 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 (* s x)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) (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))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -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) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))
(+ 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 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(/ (- (* 1/2 (/ x s)) 1) 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)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) 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)))
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	s	@	inf	((pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (/ x s) (/ (neg x) -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (neg x) -1) (/ (+ (* (/ 1/2 s) x) -1) s)) 2) (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (+ (* (/ 1 s) (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x))) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) 1/2) -1) (+ (* (/ 1/2 s) x) -1) (/ (+ (* (/ 1/2 s) x) -1) s))
3.0ms	x	@	-inf	((pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (/ x s) (/ (neg x) -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (neg x) -1) (/ (+ (* (/ 1/2 s) x) -1) s)) 2) (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (+ (* (/ 1 s) (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x))) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) 1/2) -1) (+ (* (/ 1/2 s) x) -1) (/ (+ (* (/ 1/2 s) x) -1) s))
3.0ms	x	@	inf	((pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (/ x s) (/ (neg x) -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (neg x) -1) (/ (+ (* (/ 1/2 s) x) -1) s)) 2) (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (+ (* (/ 1 s) (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x))) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) 1/2) -1) (+ (* (/ 1/2 s) x) -1) (/ (+ (* (/ 1/2 s) x) -1) s))
3.0ms	s	@	-inf	((pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (/ x s) (/ (neg x) -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (neg x) -1) (/ (+ (* (/ 1/2 s) x) -1) s)) 2) (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (+ (* (/ 1 s) (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x))) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) 1/2) -1) (+ (* (/ 1/2 s) x) -1) (/ (+ (* (/ 1/2 s) x) -1) s))
2.0ms	s	@	0	((pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (/ x s) (/ (neg x) -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (neg x) -1) (/ (+ (* (/ 1/2 s) x) -1) s)) 2) (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (+ (* (/ 1 s) (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x))) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) 1/2) -1) (+ (* (/ 1/2 s) x) -1) (/ (+ (* (/ 1/2 s) x) -1) s))

simplify171.0ms (2.4%)

Memory

23.0MiB live, 173.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	357	1351
1	1031	1134
2	3346	1034
0	8343	963

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 74

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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
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))))
(/ x s)
x
(* -1 x)
(* x (- (* 1/2 (/ x s)) 1))
-1
(- (* 1/2 (/ x s)) 1)
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(+ 1 (exp (* -1 (/ x s))))
(exp (* -1 (/ x s)))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/ 1/4 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 (* s x)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) (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))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -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) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))
(+ 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 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(/ (- (* 1/2 (/ x s)) 1) 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)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) 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)))
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))

Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(sqrt 1/2)
(sqrt.f32 #s(literal 1/2 binary32))
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32)))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(fma.f32 (fma.f32 #s(literal -1/64 binary32) (/.f32 x (.f32 (.f32 (sqrt.f32 #s(literal 1/2 binary32)) s) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s))) x (sqrt.f32 #s(literal 1/2 binary32)))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/64 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) s) (sqrt.f32 #s(literal 1/2 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) x) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/512 binary32) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 4 binary32))) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))))) x (/.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s))) x (sqrt.f32 #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 (fma.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 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)) x #s(literal 2 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 (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 #s(literal -1/6 binary32) x) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)) x #s(literal 1 binary32))
(/ x s)
(/.f32 x s)
x
(* -1 x)
(neg.f32 x)
(* x (- (* 1/2 (/ x s)) 1))
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) x)
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.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 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(/.f32 (-.f32 #s(literal 0 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 0 binary32) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(* 1/4 (/ x s))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 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) 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) (.f32 x x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (.f32 x x))
(* 1/2 (/ (pow x 2) s))
(.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32))
(* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) x)
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* 1/2 (/ x (pow s 2)))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) 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) x) s)) x)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x)
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.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 (* s x)) (* 1/2 (pow x 2))) s)
(/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s) s)
(- (+ 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))))))
(-.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))
(fma.f32 (/.f32 (.f32 (/.f32 (.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (.f32 (.f32 (sqrt.f32 #s(literal 1/2 binary32)) s) s)) #s(literal -1/2 binary32) (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -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) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal 1/2 binary32))) (+.f32 (/.f32 (fma.f32 (.f32 (.f32 (/.f32 (.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (/.f32 x #s(literal 1/2 binary32))) #s(literal -1/8 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (.f32 (/.f32 (.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (.f32 s s))) (fma.f32 (/.f32 x (.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #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 (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) #s(literal 2 binary32))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(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 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(-.f32 (fma.f32 #s(literal 1/12 binary32) (.f32 x (/.f32 (/.f32 x s) s)) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (fma.f32 x (fma.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 x s) s) (/.f32 #s(literal -1/2 binary32) s)) (.f32 #s(literal 1/3 binary32) (*.f32 x (/.f32 (/.f32 x s) s)))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
(-.f32 (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/12 binary32) (.f32 x (/.f32 (/.f32 x s) s)) (.f32 #s(literal -1/4 binary32) (/.f32 x s)))) #s(literal 1/2 binary32)) (fma.f32 x (fma.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 x s) s) (/.f32 #s(literal -1/2 binary32) s)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (.f32 (.f32 x x) (fma.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32)))) #s(literal 2/3 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 s s)))))))
(+ (* -1 x) (* 1/2 (/ (pow x 2) s)))
(-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x)
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) 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 (neg.f32 (.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))
(-.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 (/.f32 (.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/2 binary32) (.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32))) s))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s)))
(-.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 (-.f32 (.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (/.f32 (.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (/.f32 x #s(literal 1/2 binary32))) #s(literal 1/8 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/2 binary32) s) (.f32 (/.f32 (.f32 (/.f32 (.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/2 binary32))) s)) s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) 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 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) 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))
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/4 binary32) x) (/.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -7/48 binary32) (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)) #s(literal 2/3 binary32) #s(literal 0 binary32))) (neg.f32 s)) s)) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)

rewrite186.0ms (2.6%)

Memory

-14.2MiB live, 193.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	275
0	76	252
1	331	247
2	2749	240
0	8763	240

Stop Event

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

Counts

22 → 688

Calls

Call 1

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

Outputs
(*.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -3/4 binary32)) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (-.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) (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 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(.f32 (pow.f32 (expm1.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32)) (pow.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))) #s(literal -1 binary32)))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -4 binary32))))) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -6 binary32))))) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -4 binary32)))) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -3/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/4 binary32)) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -3/4 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -3/4 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (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 #s(literal -2 binary32)) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))))
(*.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 #s(literal -2 binary32)) (/.f32 x s)))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))) (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 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) #s(literal -2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) #s(literal -3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) #s(literal -2 binary32)) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))) (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) #s(literal 1 binary32))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) #s(literal 1 binary32))) (neg.f32 (.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 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (exp.f32 (/.f32 (neg.f32 x) s))))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (exp.f32 (/.f32 (neg.f32 x) s)))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) #s(literal 1 binary32))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))) (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 (-.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (exp.f32 (/.f32 (neg.f32 x) s)))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))))
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(.f32 (pow.f32 (/.f32 s (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(*.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))
(/.f32 (neg.f32 (*.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32)))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32)))) (neg.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.f32 (neg.f32 (.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32)) #s(literal -1 binary32))) (neg.f32 (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) (neg.f32 s))))
(/.f32 (neg.f32 (.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32)) #s(literal -1 binary32))) (neg.f32 (.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (neg.f32 s))))
(/.f32 (neg.f32 (.f32 #s(literal -1 binary32) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 #s(literal -1 binary32) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal -1 binary32))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s)))
(/.f32 (neg.f32 (.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) s)))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32)))) (neg.f32 (.f32 s (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32)))) (neg.f32 (.f32 s (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))))
(/.f32 (*.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)))
(/.f32 (.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32))) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32))) (neg.f32 (*.f32 s (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32))) (neg.f32 (.f32 s (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (.f32 (/.f32 x s) #s(literal -1/2 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)))) (neg.f32 (neg.f32 s)))
(/.f32 (.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) (neg.f32 s)))
(/.f32 (.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) (neg.f32 s)))
(/.f32 (.f32 #s(literal -1 binary32) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32))) (.f32 (neg.f32 s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))))
(/.f32 (.f32 #s(literal -1 binary32) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32))) (.f32 (neg.f32 s) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.f32 (.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s))
(/.f32 (.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) s))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32))) (.f32 s (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32))) (.f32 s (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal -1 binary32)) (neg.f32 s))
(/.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32)) (*.f32 s (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))))
(/.f32 (fma.f32 (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32)) (.f32 s (fma.f32 (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1 binary32) (.f32 (/.f32 x s) #s(literal -1/2 binary32))))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 s))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))))
(fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 #s(literal 1 binary32) s) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal 1/2 binary32) s) x)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (/.f32 (/.f32 s (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal -1 binary32))
(+.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 #s(literal 1 binary32) s)) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s)) (.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 #s(literal 1 binary32) s)))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)))
(exp.f32 (*.f32 (log.f32 (/.f32 s (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) s))
(neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (neg.f32 s)))

eval81.0ms (1.1%)

Memory: 9.0MiB live, 162.6MiB allocated
Compiler: Compiled 17 153 to 2 536 computations (85.2% saved)

prune60.0ms (0.8%)

Memory

-10.2MiB live, 151.9MiB allocated

Pruning

70 alts after pruning (64 fresh and 6 done)

	Pruned	Kept	Total
New	544	46	590
Fresh	19	18	37
Picked	3	2	5
Done	1	4	5
Total	567	70	637

Accuracy

99.9%

Counts

637 → 70

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal 2 binary32))
	44.2%	(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))
	44.3%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
	81.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))))
	28.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
	36.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))))))
	64.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s))))))
	63.3%	(/.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))))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶	36.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
	38.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
	38.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (neg.f32 x) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
▶	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
✓	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s)) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)))) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32))) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) s) x))) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
▶	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal -1 binary32) x (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) x)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 x)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (neg.f32 x)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 #s(literal -1 binary32) (neg.f32 x)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	38.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32))))
	31.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
	30.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)))))
	39.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x))))
	32.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
✓	44.5%	(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))))
	43.4%	(.f32 (/.f32 (-.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 -4 binary32)))) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)))
	27.7%	#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (-.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) s) x))))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32))) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 s #s(literal 4 binary32))))) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32)))
✓	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32)))) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
▶	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
	30.5%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
✓	36.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 3 251 to 2 508 computations (22.9% saved)

simplify230.0ms (3.2%)

Memory

-17.5MiB live, 198.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
cost-diff	64	(neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)))
cost-diff	64	(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 s))
cost-diff	416	(/.f32 (neg.f32 x) #s(literal -1 binary32))
cost-diff	0	(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
cost-diff	0	#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))
cost-diff	0	(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #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 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
cost-diff	0	(/.f32 x s)
cost-diff	0	(fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
cost-diff	0	(/.f32 x s)
cost-diff	0	(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
cost-diff	0	#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))))
cost-diff	0	(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal 2 binary32))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	383
0	80	380
1	142	377
2	303	363
3	804	363
4	1931	363
5	3273	363
6	4430	363
7	5014	363
8	5520	356
9	7020	356
0	8234	355

Stop Event

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

Calls

Call 1

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

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

localize99.0ms (1.4%)

Memory

21.7MiB live, 130.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 s))
accuracy	13.882745755104265	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 s)) #s(literal 2 binary32)))
accuracy	19.972499078715252	(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
accuracy	20.203246333114794	(fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 s)) #s(literal 2 binary32))
accuracy	0.02734375	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
accuracy	14.39912387109537	#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))
accuracy	17.95139033170152	(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))
accuracy	21.041021001004022	(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
accuracy	0.02734375	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
accuracy	13.882745755104265	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32)))
accuracy	14.8227235448428	#s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32))
accuracy	17.76466584896264	(fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))
accuracy	0	(/.f32 x s)
accuracy	13.699571659820394	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
accuracy	20.791547227639548	(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	0.015625	(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
accuracy	0.02734375	(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
accuracy	0.059430934065627994	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.2421875	(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal 2 binary32))

Samples

52.0ms	185×	0	valid
19.0ms	71×	0	exit

Compiler

Compiled 653 to 97 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 13.0ms (24.1% of total)

ival-mult: 9.0ms (16.7% of total)

ival-add: 7.0ms (13% of total)

ival-expm1: 6.0ms (11.1% of total)

ival-pow: 6.0ms (11.1% of total)

ival-neg: 5.0ms (9.3% of total)

ival-pow2: 3.0ms (5.6% of total)

ival-exp: 2.0ms (3.7% of total)

ival-sqrt: 2.0ms (3.7% of total)

exact: 1.0ms (1.9% of total)

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

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

series20.0ms (0.3%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

24 → 76

Calls

Call 1

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

Outputs
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(/ x 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))))
x
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(+ 1 (* -1/2 (/ x s)))
-1
(- (* 1/2 (/ x s)) 1)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(+ 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))))
(exp (* -1 (/ x s)))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1/2 (/ x s))
(* x (- (/ 1 x) (* 1/2 (/ 1 s))))
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(/ (+ (* 1/4 x) (* 1/2 s)) 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))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (- s (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 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))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -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) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
(+ 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 (/ x s)) 1) 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)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s)))
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 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)))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt (/ 1 (+ (exp (/ (neg x) s)) 1))) (/ 1 (+ (exp (/ (neg x) s)) 1)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/ (neg x) -1) (/ (neg (+ (* (/ 1/2 s) x) -1)) (neg s)) (neg (+ (* (/ 1/2 s) x) -1)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (+ (exp (/ (neg x) s)) 1) (+ (* (/ 1/2 s) x) -1) (+ (* (/ 1/2 s) x) -1) (+ (* (/ (neg x) -1) (/ (neg (+ (* (/ 1/2 s) x) -1)) (neg s))) 2) (+ 1 (exp (/ (neg x) s))))
3.0ms	x	@	inf	((pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt (/ 1 (+ (exp (/ (neg x) s)) 1))) (/ 1 (+ (exp (/ (neg x) s)) 1)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/ (neg x) -1) (/ (neg (+ (* (/ 1/2 s) x) -1)) (neg s)) (neg (+ (* (/ 1/2 s) x) -1)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (+ (exp (/ (neg x) s)) 1) (+ (* (/ 1/2 s) x) -1) (+ (* (/ 1/2 s) x) -1) (+ (* (/ (neg x) -1) (/ (neg (+ (* (/ 1/2 s) x) -1)) (neg s))) 2) (+ 1 (exp (/ (neg x) s))))
2.0ms	x	@	-inf	((pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt (/ 1 (+ (exp (/ (neg x) s)) 1))) (/ 1 (+ (exp (/ (neg x) s)) 1)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/ (neg x) -1) (/ (neg (+ (* (/ 1/2 s) x) -1)) (neg s)) (neg (+ (* (/ 1/2 s) x) -1)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (+ (exp (/ (neg x) s)) 1) (+ (* (/ 1/2 s) x) -1) (+ (* (/ 1/2 s) x) -1) (+ (* (/ (neg x) -1) (/ (neg (+ (* (/ 1/2 s) x) -1)) (neg s))) 2) (+ 1 (exp (/ (neg x) s))))
2.0ms	s	@	0	((pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt (/ 1 (+ (exp (/ (neg x) s)) 1))) (/ 1 (+ (exp (/ (neg x) s)) 1)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/ (neg x) -1) (/ (neg (+ (* (/ 1/2 s) x) -1)) (neg s)) (neg (+ (* (/ 1/2 s) x) -1)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (+ (exp (/ (neg x) s)) 1) (+ (* (/ 1/2 s) x) -1) (+ (* (/ 1/2 s) x) -1) (+ (* (/ (neg x) -1) (/ (neg (+ (* (/ 1/2 s) x) -1)) (neg s))) 2) (+ 1 (exp (/ (neg x) s))))
2.0ms	s	@	inf	((pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt (/ 1 (+ (exp (/ (neg x) s)) 1))) (/ 1 (+ (exp (/ (neg x) s)) 1)) (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/ (neg x) -1) (/ (neg (+ (* (/ 1/2 s) x) -1)) (neg s)) (neg (+ (* (/ 1/2 s) x) -1)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (+ (exp (/ (neg x) s)) 1) (+ (* (/ 1/2 s) x) -1) (+ (* (/ 1/2 s) x) -1) (+ (* (/ (neg x) -1) (/ (neg (+ (* (/ 1/2 s) x) -1)) (neg s))) 2) (+ 1 (exp (/ (neg x) s))))

simplify197.0ms (2.7%)

Memory

-3.9MiB live, 195.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	1389
1	1067	1172
2	3453	1074
0	8548	998

Stop Event

1×	iter limit
1×	node limit

Counts

76 → 75

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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(/ x 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))))
x
(/ -1 s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(+ 1 (* -1/2 (/ x s)))
-1
(- (* 1/2 (/ x s)) 1)
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(* 1/4 (/ x s))
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(+ 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))))
(exp (* -1 (/ x s)))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ x (pow s 2)))
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* -1/2 (/ x s))
(* x (- (/ 1 x) (* 1/2 (/ 1 s))))
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(/ (+ (* 1/4 x) (* 1/2 s)) 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))
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/ (- s (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 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))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -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) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
(+ 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 (/ x s)) 1) 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)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s)))
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 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)))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))

Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
(sqrt 1/2)
(sqrt.f32 #s(literal 1/2 binary32))
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2)))))
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32)))
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(fma.f32 (fma.f32 #s(literal -1/64 binary32) (/.f32 x (.f32 (.f32 (sqrt.f32 #s(literal 1/2 binary32)) s) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s))) x (sqrt.f32 #s(literal 1/2 binary32)))
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2)))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/64 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) s) (sqrt.f32 #s(literal 1/2 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) x) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/512 binary32) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 4 binary32))) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))))) x (/.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s))) x (sqrt.f32 #s(literal 1/2 binary32)))
(/ x s)
(/.f32 x s)
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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 #s(literal -1/6 binary32) x) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 1 binary32))
x
(/ -1 s)
(/.f32 #s(literal -1 binary32) s)
(- (* 1/2 (/ x (pow s 2))) (/ 1 s))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
(+ 1 (* -1/2 (/ x s)))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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)))
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s)))))
(/.f32 (-.f32 #s(literal 0 binary32) (expm1.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 0 binary32) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))))
(* 1/4 (/ x s))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x)
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 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) 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) (.f32 x x)) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (.f32 x x))
(exp (* -1 (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x))))
(.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x))
(* 1/2 (/ x (pow s 2)))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) 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) x) s)) x)
(* -1/2 (/ x s))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(* x (- (/ 1 x) (* 1/2 (/ 1 s))))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) x)
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))
(.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x)
(* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(/ (+ (* 1/4 x) (* 1/2 s)) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.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)
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 s x) s (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) s)
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)
(/ (- s (* 1/2 x)) s)
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32))
(/ (+ (* -1 s) (* 1/2 x)) s)
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(fma.f32 (/.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))))))
(-.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))
(fma.f32 (/.f32 (.f32 (/.f32 (.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (.f32 (.f32 (sqrt.f32 #s(literal 1/2 binary32)) s) s)) #s(literal -1/2 binary32) (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))))
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -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) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal 1/2 binary32))) (+.f32 (/.f32 (fma.f32 (.f32 (.f32 (/.f32 (.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (/.f32 x #s(literal 1/2 binary32))) #s(literal -1/8 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (.f32 (/.f32 (.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (.f32 s s))) (fma.f32 (/.f32 x (.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))))
(- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2))))))
(-.f32 (fma.f32 #s(literal 1/12 binary32) (.f32 x (/.f32 (/.f32 x s) s)) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (fma.f32 x (fma.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 x s) s) (/.f32 #s(literal -1/2 binary32) s)) (.f32 #s(literal 1/3 binary32) (*.f32 x (/.f32 (/.f32 x s) s)))))
(- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3)))))))))
(-.f32 (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/12 binary32) (.f32 x (/.f32 (/.f32 x s) s)) (.f32 #s(literal -1/4 binary32) (/.f32 x s)))) #s(literal 1/2 binary32)) (fma.f32 x (fma.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 x s) s) (/.f32 #s(literal -1/2 binary32) s)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (.f32 (.f32 x x) (fma.f32 (.f32 #s(literal 1/4 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32)))) #s(literal 2/3 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 s s)))))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #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 (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) #s(literal 2 binary32))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(/ (- (* 1/2 (/ x s)) 1) s)
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) 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 (neg.f32 (.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) s) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s)))
(-.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 (/.f32 (.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/2 binary32) (.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32))) s))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s)))
(-.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 (-.f32 (.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (/.f32 (.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (/.f32 x #s(literal 1/2 binary32))) #s(literal 1/8 binary32) (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/2 binary32) s) (.f32 (/.f32 (.f32 (/.f32 (.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/2 binary32))) s)) s))
(+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/4 binary32) x) (/.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -7/48 binary32) (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)) #s(literal 2/3 binary32) #s(literal 0 binary32))) (neg.f32 s)) s)) s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 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 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s))
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)

rewrite160.0ms (2.2%)

Memory

-18.1MiB live, 143.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	331
0	80	331
1	325	308
2	2456	301
0	8326	299

Stop Event

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

Counts

24 → 497

Calls

Call 1

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

Outputs
(*.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))
(pow.f32 (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32))
(exp.f32 (+.f32 (log.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) (log.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))))
(exp.f32 (.f32 (.f32 (log.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal 2 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) (sqrt.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(pow.f32 (sqrt.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) #s(literal 2 binary32))
(pow.f32 (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 1 binary32))
(exp.f32 (log.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (sqrt.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 (expm1.f32 (/.f32 (neg.f32 x) s))))
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(fma.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)) #s(literal 1 binary32) #s(literal 1 binary32))
(pow.f32 (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal -1 binary32))
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(pow.f32 (+.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)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
#s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32))
(*.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))))
(.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x)))))
(*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 2 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 2 binary32))) (-.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) s) x)))
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(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal -1 binary32)) (-.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x))))
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(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal -1 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 2 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 s x) #s(literal -2 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 s x) #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(+.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x))) #s(literal -1 binary32))
(+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32))
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(.f32 (-.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal -2 binary32))))
(.f32 (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal -2 binary32))) (.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal -2 binary32)) #s(literal 4 binary32))) (.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal -2 binary32)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal -2 binary32))))
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal -2 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 3 binary32)) #s(literal 8 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal -2 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) (.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 3 binary32)) #s(literal 8 binary32)) (-.f32 (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal -2 binary32)) (-.f32 (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32))) (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 3 binary32)) #s(literal 8 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal -2 binary32))) (/.f32 #s(literal 4 binary32) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal -2 binary32))))
(fma.f32 (/.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x) #s(literal 1 binary32)) x) s) #s(literal -1 binary32) #s(literal 2 binary32))
(fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x) #s(literal 1 binary32)) x) (/.f32 #s(literal -1 binary32) s) #s(literal 2 binary32))
(fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(fma.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 1 binary32) #s(literal 2 binary32))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) s) x) #s(literal 2 binary32))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 2 binary32))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))
(fma.f32 (/.f32 x s) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
(fma.f32 (neg.f32 x) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal -1 binary32)) #s(literal 2 binary32))
(fma.f32 (neg.f32 x) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x) #s(literal 1 binary32)) s) #s(literal 2 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32))
(fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 2 binary32))
(fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal -2 binary32)) (-.f32 (pow.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32))) (+.f32 (pow.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 3 binary32)) #s(literal 8 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x))
(*.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal 1 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))
(/.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) #s(literal -1 binary32))
(/.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))))
(pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))) #s(literal 1 binary32))
(exp.f32 (neg.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) #s(literal -1 binary32))))

eval94.0ms (1.3%)

Memory: 0.6MiB live, 160.2MiB allocated
Compiler: Compiled 20 412 to 2 826 computations (86.2% saved)

prune75.0ms (1%)

Memory

23.0MiB live, 178.6MiB allocated

Pruning

94 alts after pruning (83 fresh and 11 done)

	Pruned	Kept	Total
New	598	33	631
Fresh	9	50	59
Picked	0	5	5
Done	0	6	6
Total	607	94	701

Accuracy

99.9%

Counts

701 → 94

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal 2 binary32))
	44.2%	(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))
	47.6%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32)))
	44.3%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
	36.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32)))
	81.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))))
	28.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (exp.f32 (/.f32 (neg.f32 x) s)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
	63.3%	(/.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))))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	36.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
✓	36.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))))
	36.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32)))))
	36.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32)))))
	36.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 1 binary32)))))
	36.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))))
	38.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
	38.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (neg.f32 x) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (fma.f32 x (neg.f32 (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)) (neg.f32 s)) #s(literal 2 binary32))))
✓	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (neg.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x))) (neg.f32 s)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
✓	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s)) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32))) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
✓	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (neg.f32 x)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s)) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 #s(literal 0 binary32) (neg.f32 x)) (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 1 binary32) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) s) x) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal 1 binary32) (/.f32 x s)) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 #s(literal -1 binary32) (neg.f32 x)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	36.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	38.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
	38.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 2 binary32))))
	31.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))
	30.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)))))
	39.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x))))
	32.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (.f32 (.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))
✓	44.5%	(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))))
	43.4%	(.f32 (/.f32 (-.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 -4 binary32)))) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)))
	27.7%	#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) 2) (-.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) s) x))))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32))) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 s #s(literal 4 binary32))))) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32)))
✓	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32)))) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal 1 binary32)))) (.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)))
✓	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
	30.5%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
	36.8%	#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
✓	36.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 5 445 to 2 356 computations (56.7% saved)

regimes236.0ms (3.2%)

Memory

22.9MiB live, 394.6MiB allocated

Counts

129 → 1

Calls

Call 1

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

38.0ms	x
36.0ms	s
35.0ms	(neg.f32 x)
33.0ms	(/.f32 (neg.f32 x) s)
31.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

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

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes215.0ms (3%)

Memory

-26.0MiB live, 344.6MiB allocated

Counts

116 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 s #s(literal 4 binary32))))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (neg.f32 x)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal 1 binary32) (/.f32 x s)) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) 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 #s(literal 1 binary32) s) x) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32)))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #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 (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 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))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 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 (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 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 (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.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 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal 1 binary32)))) (.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s)) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (fma.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 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #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 x s) (fma.f32 (/.f32 #s(literal 1/2 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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) 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 #s(literal 1 binary32) s) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #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 #s(literal -1 binary32) (neg.f32 x)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) s) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s)) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (neg.f32 x) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 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 (neg.f32 x) (neg.f32 s)) (fma.f32 (/.f32 #s(literal 1/2 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 #s(literal 0 binary32) (neg.f32 x)) (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal -1 binary32) x (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 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))) #s(approx (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (.f32 (.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s))) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (fma.f32 x (neg.f32 (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x))) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (neg.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.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))) (fma.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 #s(literal 1/2 binary32) s) s) (/.f32 x (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #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 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s))))))

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

Calls

7 calls:

43.0ms	(neg.f32 x)
31.0ms	x
30.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
29.0ms	(/.f32 (neg.f32 x) s)
28.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
89.5%	2	`x`
64.8%	1	`s`
92.1%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
92.1%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
92.1%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
92.1%	2	`(/.f32 (neg.f32 x) s)`
89.5%	2	`(neg.f32 x)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes98.0ms (1.3%)

Memory

22.5MiB live, 143.8MiB allocated

Counts

110 → 2

Calls

Call 1

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

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

26.0ms	(/.f32 (neg.f32 x) s)
24.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
22.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
21.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
89.8%	2	`(/.f32 (neg.f32 x) s)`
89.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
89.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
89.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes151.0ms (2.1%)

Memory

-6.6MiB live, 182.9MiB allocated

Counts

101 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 s #s(literal 4 binary32))))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (neg.f32 x)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal 1 binary32) (/.f32 x s)) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) 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 #s(literal 1 binary32) s) x) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32)))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #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 (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 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))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 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 (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 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 (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.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 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal 1 binary32)))) (.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s)) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (fma.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 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #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 x s) (fma.f32 (/.f32 #s(literal 1/2 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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) 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 #s(literal 1 binary32) s) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #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 #s(literal -1 binary32) (neg.f32 x)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) s) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s)) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (neg.f32 x) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 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 (neg.f32 x) (neg.f32 s)) (fma.f32 (/.f32 #s(literal 1/2 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 #s(literal 0 binary32) (neg.f32 x)) (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal -1 binary32) x (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 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))) #s(approx (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (.f32 (.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s))) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (fma.f32 x (neg.f32 (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) #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 (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)))))

Calls

6 calls:

27.0ms	(/.f32 (neg.f32 x) s)
24.0ms	(neg.f32 x)
24.0ms	x
23.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
22.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
85.4%	2	`x`
85.4%	2	`(neg.f32 x)`
88.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
88.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
88.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
88.3%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes100.0ms (1.4%)

Memory

-4.2MiB live, 125.5MiB allocated

Counts

95 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 s #s(literal 4 binary32))))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (neg.f32 x)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal 1 binary32) (/.f32 x s)) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) 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 #s(literal 1 binary32) s) x) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32)))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #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 (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 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))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 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 (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 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 (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) x) x) (.f32 s x)) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.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 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal 1 binary32)))) (.f32 (neg.f32 s) s)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s)) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (/.f32 (fma.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 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #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 x s) (fma.f32 (/.f32 #s(literal 1/2 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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) #s(literal 1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) 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 #s(literal 1 binary32) s) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #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 #s(literal -1 binary32) (neg.f32 x)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) s) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s)) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (neg.f32 x) x) s) #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 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 (neg.f32 x) (neg.f32 s)) (fma.f32 (/.f32 #s(literal 1/2 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 #s(literal 0 binary32) (neg.f32 x)) (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) (neg.f32 x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal -1 binary32) x (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 2 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 #s(literal 1/2 binary32) x) x)) s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #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 (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))

Calls

4 calls:

35.0ms	(/.f32 (neg.f32 x) s)
22.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
21.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
19.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
87.9%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
87.9%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
87.9%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
88.0%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes96.0ms (1.3%)

Memory

-16.5MiB live, 106.8MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 s #s(literal 4 binary32))))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (neg.f32 x)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal 1 binary32) (/.f32 x s)) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) 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 #s(literal 1 binary32) s) x) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32)))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #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))))))

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

Calls

6 calls:

27.0ms	(neg.f32 x)
25.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
13.0ms	(/.f32 (neg.f32 x) s)
11.0ms	x
9.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
73.1%	2	`x`
73.1%	2	`(neg.f32 x)`
73.1%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
73.1%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
73.1%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
73.1%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes81.0ms (1.1%)

Memory

-2.4MiB live, 114.7MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 s #s(literal 4 binary32))))) x #s(literal 1/2 binary32)))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (/ (+ (* (/ 1/2 s) x) -1) (/ 1 x)) (neg.f32 x)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal 1 binary32) (/.f32 x s)) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) 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 #s(literal 1 binary32) s) x) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32)))) x #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(approx (+ ( (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(approx (/ (- 1 (exp (/ (neg x) s))) (- 1 (exp (* (/ x s) -2)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/2 binary32)))

Outputs

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

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

Calls

7 calls:

14.0ms	(neg.f32 x)
14.0ms	s
12.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
11.0ms	x
10.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
38.7%	1	`s`
47.2%	2	`x`
47.2%	2	`(neg.f32 x)`
47.5%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
47.5%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
47.5%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
47.5%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes30.0ms (0.4%)

Memory

10.0MiB live, 48.8MiB allocated

Counts

31 → 2

Calls

Call 1

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

8.0ms	(/.f32 (neg.f32 x) s)
7.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
7.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
47.5%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
47.5%	2	`(/.f32 (neg.f32 x) s)`
47.5%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
47.5%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes50.0ms (0.7%)

Memory

29.6MiB live, 101.7MiB allocated

Accuracy

Total -3.5b remaining (-17.3%)

Threshold costs -3.5b (-17.3%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
36.8%	1	`s`
36.8%	1	`x`
36.8%	1	`(neg.f32 x)`
36.8%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
36.8%	1	`(/.f32 (neg.f32 x) s)`
36.8%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
36.8%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9306675513131008.0	1.395814107281023e+24

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	588.39013671875	669.17822265625

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	588.39013671875	669.17822265625

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch6.0ms (0.1%)

Memory

-42.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	163433.46875	260466.34375

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.04881446808576584	-3.48202302120626e-5

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7897054931381717e-6	0.6756287217140198

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7897054931381717e-6	0.6756287217140198

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify50.0ms (0.7%)

Memory

8.6MiB live, 83.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	391
1	127	391
2	162	391
3	193	391
4	245	391
5	334	391
6	476	391
7	648	391
8	806	391
9	893	391
10	948	391
11	965	391
12	968	391

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 10000000272564224 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 600 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 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 600 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 (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 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 200000 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 (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5368709/134217728 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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8796093/4398046511104 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8796093/4398046511104 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 10000000272564224 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 10000000272564224 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 x s) x)) x) s)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 600 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 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 600 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 x s) x)) x) s)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 x x) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 600 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 (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 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 600 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 x x) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 200000 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 (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (/.f32 (.f32 x (-.f32 (.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 200000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ x s) 1/2) -1)) 2) (/.f32 (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) x) s) x) (*.f32 s s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5368709/134217728 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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5368709/134217728 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8796093/4398046511104 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8796093/4398046511104 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8796093/4398046511104 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

soundness1.4s (19.8%)

Memory

10.0MiB live, 684.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	184
0	56	158
1	231	158
2	1729	156
0	8961	156
0	8	27
0	13	27
1	48	27
2	255	27
3	2101	27
0	8465	26
0	140	369
1	378	363
2	1153	357
3	3907	337
0	8432	299
0	715	2789
1	2369	2345
0	8387	2194
0	357	1351
1	1031	1134
2	3346	1034
0	8343	963

Stop Event

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

Compiler

Compiled 606 to 275 computations (54.6% saved)

preprocess175.0ms (2.4%)

Memory: 6.9MiB live, 100.1MiB allocated
Compiler: Compiled 800 to 210 computations (73.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	41
1	50	41
2	113	41
3	271	41
4	554	41
5	721	41
6	793	41
7	842	41
8	901	41
9	903	41
0	8	9
0	13	9
1	21	9
2	31	9
3	44	9
4	56	9
5	70	9
6	91	9
7	112	9
8	116	9
0	116	9

Iter	Nodes	Cost
0	94	391
1	127	391
2	162	391
3	193	391
4	245	391
5	334	391
6	476	391
7	648	391
8	806	391
9	893	391
10	948	391
11	965	391
12	968	391

Iter	Nodes	Cost
0	20	41
1	50	41
2	113	41
3	271	41
4	554	41
5	721	41
6	793	41
7	842	41
8	901	41
9	903	41
0	8	9
0	13	9
1	21	9
2	31	9
3	44	9
4	56	9
5	70	9
6	91	9
7	112	9
8	116	9
0	116	9

Iter	Nodes	Cost
0	94	391
1	127	391
2	162	391
3	193	391
4	245	391
5	334	391
6	476	391
7	648	391
8	806	391
9	893	391
10	948	391
11	965	391
12	968	391

start0.0ms (0%)

analyze40.0ms (0.5%)

sample1.0s (14.4%)

explain118.0ms (1.6%)

preprocess30.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize22.0ms (0.3%)

series13.0ms (0.2%)

simplify262.0ms (3.6%)

rewrite175.0ms (2.4%)

eval130.0ms (1.8%)

prune21.0ms (0.3%)

simplify147.0ms (2%)

localize110.0ms (1.5%)

series38.0ms (0.5%)

simplify169.0ms (2.3%)

rewrite271.0ms (3.7%)

eval111.0ms (1.5%)

prune98.0ms (1.4%)

simplify180.0ms (2.5%)

localize146.0ms (2%)

series20.0ms (0.3%)

simplify171.0ms (2.4%)

rewrite186.0ms (2.6%)

eval81.0ms (1.1%)

prune60.0ms (0.8%)

simplify230.0ms (3.2%)

localize99.0ms (1.4%)

series20.0ms (0.3%)

simplify197.0ms (2.7%)

rewrite160.0ms (2.2%)

eval94.0ms (1.3%)

prune75.0ms (1%)

regimes236.0ms (3.2%)

regimes215.0ms (3%)

regimes98.0ms (1.3%)

regimes151.0ms (2.1%)

regimes100.0ms (1.4%)

regimes96.0ms (1.3%)

regimes81.0ms (1.1%)

regimes30.0ms (0.4%)

regimes50.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify50.0ms (0.7%)

soundness1.4s (19.8%)

preprocess175.0ms (2.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	41
1	50	41
2	113	41
3	271	41
4	554	41
5	721	41
6	793	41
7	842	41
8	901	41
9	903	41
0	8	9
0	13	9
1	21	9
2	31	9
3	44	9
4	56	9
5	70	9
6	91	9
7	112	9
8	116	9
0	116	9

Iter	Nodes	Cost
0	94	391
1	127	391
2	162	391
3	193	391
4	245	391
5	334	391
6	476	391
7	648	391
8	806	391
9	893	391
10	948	391
11	965	391
12	968	391