Metrics for Logistic function

analyze39.0ms (0.4%)

Memory

22.4MiB live, 98.8MiB 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)

sample953.0ms (9.9%)

Memory

33.3MiB live, 1 733.1MiB allocated

Samples

682.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 506.0ms

ival-div: 158.0ms (31.2% of total)

const: 120.0ms (23.7% of total)

ival-exp: 72.0ms (14.2% of total)

ival-<=: 52.0ms (10.3% of total)

ival-add: 42.0ms (8.3% of total)

ival-neg: 38.0ms (7.5% of total)

ival-and: 11.0ms (2.2% of total)

exact: 11.0ms (2.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess34.0ms (0.4%)

Memory

-26.9MiB live, 50.3MiB allocated

Algorithm

1×	egg-herbie

Rules

204×	`exp-prod`
124×	`exp-sum`
120×	`times-frac`
92×	`associate-/r*`
66×	`unsub-neg`

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

explain91.0ms (0.9%)

Memory

20.8MiB live, 179.5MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`s`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
2	(7.613930997611666e-28 2.5962182642430632e-30)	-	`(exp.f32 (/.f32 (neg.f32 x) s))`
0	-	-	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
0	-	-	`(neg.f32 x)`
0	-	-	`(/.f32 (neg.f32 x) s)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 x) s))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

31.0ms

512×

valid

Compiler

Compiled 86 to 36 computations (58.1% saved)

Precisions

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

ival-div: 9.0ms (47.9% of total)

ival-exp: 4.0ms (21.3% of total)

ival-add: 3.0ms (16% of total)

ival-neg: 3.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify11.0ms (0.1%)

Memory

-27.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

32×	`lower-*.f64`
32×	`lower-+.f64`
32×	`lower-*.f32`
30×	`lower-+.f32`
26×	`lower-/.f64`

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

localize25.0ms (0.3%)

Memory

5.8MiB live, 43.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f32 x)
✓	accuracy	99.9%	(exp.f32 (/.f32 (neg.f32 x) s))
✓	accuracy	99.9%	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Samples

15.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

ival-div: 4.0ms (47.8% of total)

ival-exp: 2.0ms (23.9% of total)

ival-add: 1.0ms (11.9% of total)

ival-neg: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

simplify604.0ms (6.3%)

Memory

19.0MiB live, 1 034.8MiB allocated

Algorithm

1×	egg-herbie

Rules

40 054×	`lower-fma.f64`
40 054×	`lower-fma.f32`
4 544×	`lower-*.f64`
4 544×	`lower-*.f32`
2 942×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	758
1	378	748
2	1147	742
3	3893	722
0	8438	682

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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

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

rewrite304.0ms (3.1%)

Memory

8.7MiB live, 566.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 358×	`lower-/.f64`
4 354×	`lower-/.f32`
3 830×	`lower-fma.f64`
3 830×	`lower-fma.f32`
3 688×	`lower-*.f64`

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
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (.f32 (.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32) (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32))))
(+.f32 (/.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 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (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 -3 binary32))))) (.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.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 -3 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal 1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(+.f32 (.f32 (.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(fma.f32 #s(literal 1 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 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.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 -3 binary32))))) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32)))) (.f32 (.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32)))))) #s(literal -1 binary32)) (*.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))))) #s(literal -1 binary32)) (.f32 (.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32)))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))))
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(-.f32 (/.f32 (.f32 #s(literal 0 binary32) (/.f32 s x)) (.f32 s (/.f32 s x))) (/.f32 s (*.f32 s (/.f32 s x))))
(-.f32 (/.f32 (.f32 #s(literal 0 binary32) s) (.f32 s s)) (/.f32 (.f32 s x) (.f32 s s)))
(-.f32 (/.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 s (neg.f32 s))) (/.f32 (.f32 s (neg.f32 x)) (.f32 s (neg.f32 s))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (.f32 #s(literal 0 binary32) (/.f32 x s))))) (/.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (.f32 s s))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (.f32 #s(literal 0 binary32) (/.f32 x s))))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (/.f32 x s))) (/.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (+.f32 #s(literal 0 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 s x)))
(/.f32 x (neg.f32 s))
(/.f32 (neg.f32 x) s)
(/.f32 #s(literal -1 binary32) (/.f32 s x))
(/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) x))
(/.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (neg.f32 s)))
(/.f32 (.f32 x (.f32 x x)) (.f32 (neg.f32 s) (.f32 x x)))
(/.f32 (.f32 x (.f32 x x)) (neg.f32 (.f32 s (.f32 x x))))
(/.f32 (.f32 x (.f32 x x)) (neg.f32 (.f32 (.f32 x x) s)))
(/.f32 (neg.f32 (.f32 x (.f32 x x))) (.f32 (.f32 x x) s))
(/.f32 (neg.f32 (.f32 x (.f32 x x))) (.f32 s (.f32 x x)))
(/.f32 (neg.f32 (.f32 x (.f32 x x))) (neg.f32 (.f32 (.f32 x x) (neg.f32 s))))
(/.f32 (neg.f32 (.f32 x (.f32 x x))) (neg.f32 (.f32 (neg.f32 s) (.f32 x x))))
(/.f32 (/.f32 #s(literal -1 binary32) s) (neg.f32 (/.f32 #s(literal -1 binary32) x)))
(/.f32 (neg.f32 (.f32 x x)) (.f32 s x))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 s x)) s) (.f32 s (/.f32 s x)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 s x)) (*.f32 s s))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 s (neg.f32 x))) (*.f32 s (neg.f32 s)))
(/.f32 (.f32 (neg.f32 (.f32 x x)) #s(literal 1 binary32)) (*.f32 x s))
(/.f32 (.f32 (neg.f32 (.f32 x x)) #s(literal -1 binary32)) (*.f32 x (neg.f32 s)))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 (.f32 x x))) (*.f32 s x))
(/.f32 (.f32 #s(literal -1 binary32) (neg.f32 (.f32 x x))) (*.f32 (neg.f32 s) x))
(/.f32 (neg.f32 (neg.f32 (.f32 x x))) (neg.f32 (.f32 s x)))
(/.f32 (/.f32 x #s(literal -1 binary32)) s)
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 x (.f32 x x)) (.f32 s (.f32 s s)))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (*.f32 #s(literal 0 binary32) (/.f32 x s)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 x s) (/.f32 x s))) (+.f32 #s(literal 0 binary32) (/.f32 x s)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (.f32 x (.f32 x x)))) (.f32 x x))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (.f32 x x))) x)
(/.f32 (.f32 (neg.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) s)) (.f32 x x))
(/.f32 (.f32 (neg.f32 (.f32 x x)) (/.f32 #s(literal 1 binary32) s)) x)
(/.f32 (neg.f32 (.f32 (neg.f32 (.f32 x x)) #s(literal 1 binary32))) (neg.f32 (*.f32 x s)))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 s x)) s)) (neg.f32 (.f32 s (/.f32 s x))))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 s x))) (neg.f32 (*.f32 s s)))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 s (neg.f32 x)))) (neg.f32 (*.f32 s (neg.f32 s))))
(/.f32 (neg.f32 (.f32 (neg.f32 (.f32 x x)) #s(literal -1 binary32))) (neg.f32 (*.f32 x (neg.f32 s))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (neg.f32 (.f32 x x)))) (neg.f32 (*.f32 s x)))
(/.f32 (neg.f32 (.f32 #s(literal -1 binary32) (neg.f32 (.f32 x x)))) (neg.f32 (*.f32 (neg.f32 s) x)))
(/.f32 (neg.f32 (/.f32 x #s(literal -1 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 x (.f32 x x)) (.f32 s (.f32 s s))))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (*.f32 #s(literal 0 binary32) (/.f32 x s))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 x s) (/.f32 x s)))) (neg.f32 (+.f32 #s(literal 0 binary32) (/.f32 x s))))
(/.f32 (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (.f32 x (.f32 x x))))) (neg.f32 (.f32 x x)))
(/.f32 (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (.f32 x x)))) (neg.f32 x))
(/.f32 (neg.f32 (.f32 (neg.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (.f32 x x)))
(/.f32 (neg.f32 (.f32 (neg.f32 (.f32 x x)) (/.f32 #s(literal 1 binary32) s))) (neg.f32 x))
(/.f32 (+.f32 (/.f32 (neg.f32 (.f32 x (.f32 x x))) (.f32 s (.f32 s s))) #s(literal 0 binary32)) (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32)))))
(/.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 (.f32 x (.f32 x x))) (.f32 s (.f32 s s)))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (/.f32 x s) (/.f32 x s)) (.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))
(/.f32 (+.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) #s(literal 3 binary32)) (/.f32 (neg.f32 (.f32 x (.f32 x x))) (.f32 s (.f32 s s)))) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) (-.f32 (.f32 (/.f32 x s) (/.f32 x s)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) (/.f32 (neg.f32 x) s)))))
(*.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s))
(*.f32 x (/.f32 #s(literal -1 binary32) s))
(*.f32 x (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 x) (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s))))
(*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32))
(*.f32 (/.f32 (neg.f32 x) s) (log.f32 (E.f32)))
(*.f32 #s(literal -1 binary32) (/.f32 x s))
(*.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal -1 binary32)))
(*.f32 (/.f32 x s) #s(literal -1 binary32))
(*.f32 (/.f32 x s) (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) s) x)
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (log.f32 (exp.f32 x)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)))
(*.f32 (/.f32 x #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))
(.f32 (pow.f32 (/.f32 (neg.f32 s) (.f32 x (.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(.f32 (pow.f32 (/.f32 s (neg.f32 (.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (neg.f32 (.f32 x (.f32 x x))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) s))
(.f32 (/.f32 (neg.f32 (.f32 x (.f32 x x))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x x)))
(.f32 (/.f32 (neg.f32 (.f32 x (*.f32 x x))) x) (/.f32 (/.f32 #s(literal 1 binary32) s) x))
(.f32 (/.f32 (neg.f32 (.f32 x (*.f32 x x))) (neg.f32 x)) (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)))
(.f32 (/.f32 (neg.f32 (.f32 x (.f32 x x))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (neg.f32 s)))
(.f32 (/.f32 (neg.f32 (.f32 x (.f32 x x))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (neg.f32 x) x)))
(.f32 (/.f32 (neg.f32 (.f32 x x)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) s))
(.f32 (/.f32 (neg.f32 (.f32 x x)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) x))
(.f32 (/.f32 (neg.f32 (.f32 x x)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s)))
(.f32 (/.f32 (neg.f32 (.f32 x x)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)))
(.f32 (/.f32 (neg.f32 (.f32 x (.f32 x x))) s) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1 binary32)))
(.f32 (/.f32 (neg.f32 (.f32 x x)) s) (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 x (.f32 x x)))) (/.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x x)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 x x)))) (/.f32 (/.f32 #s(literal 1 binary32) s) x))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 (neg.f32 (.f32 x (*.f32 x x))) x))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 (neg.f32 (.f32 x x)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 x (.f32 x x)))) (/.f32 (/.f32 #s(literal -1 binary32) s) (.f32 x x)))
(.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 x x)))) (/.f32 (/.f32 #s(literal -1 binary32) s) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)) (neg.f32 x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 x x)))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (pow.f32 s #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) x)))
(.f32 (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) (.f32 x (.f32 x x)))) (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (.f32 x x)))
(.f32 (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 x x)))) (/.f32 (pow.f32 s #s(literal -1/2 binary32)) x))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) (/.f32 (neg.f32 (.f32 x (*.f32 x x))) (neg.f32 x)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) (/.f32 (neg.f32 (.f32 x x)) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) x)
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) (/.f32 (neg.f32 (.f32 x (.f32 x x))) (.f32 (neg.f32 x) x)))
(log.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(neg.f32 x)
(neg.f32 (log.f32 (exp.f32 x)))
(+.f32 (neg.f32 x) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(pow.f32 (/.f32 (.f32 x x) (neg.f32 (.f32 x (*.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 x (neg.f32 (*.f32 x x))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 x) #s(literal 0 binary32))
(fma.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 (neg.f32 x) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 x x)) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (.f32 x (.f32 x x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (.f32 x (.f32 x x))) x) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (.f32 x (.f32 x x))) (neg.f32 x)) (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (.f32 x (.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) 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 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) x)
(-.f32 #s(literal 0 binary32) (log.f32 (exp.f32 x)))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x x)) x)
(-.f32 (/.f32 #s(literal 0 binary32) x) x)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x x) (neg.f32 (.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 (*.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 x x) (neg.f32 (.f32 x (*.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (neg.f32 (*.f32 x x)))))
(/.f32 (.f32 x (.f32 x x)) (neg.f32 (*.f32 x x)))
(/.f32 (.f32 x (.f32 x x)) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x x) #s(literal 0 binary32)))))
(/.f32 (neg.f32 (.f32 x (.f32 x x))) (*.f32 x x))
(/.f32 (neg.f32 (.f32 x (.f32 x x))) (neg.f32 (neg.f32 (*.f32 x x))))
(/.f32 (neg.f32 (.f32 x (.f32 x x))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x x) #s(literal 0 binary32))))
(/.f32 (neg.f32 (*.f32 x x)) x)
(/.f32 (.f32 (neg.f32 (.f32 x x)) #s(literal 1 binary32)) x)
(/.f32 (neg.f32 (neg.f32 (*.f32 x x))) (neg.f32 x))
(/.f32 (neg.f32 (.f32 (neg.f32 (.f32 x x)) #s(literal 1 binary32))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 x x)))) x)
(/.f32 (fma.f32 (neg.f32 x) (.f32 x x) #s(literal 0 binary32)) (fma.f32 x x (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 x) #s(literal 0 binary32)))))
(*.f32 #s(literal 1 binary32) (neg.f32 x))
(*.f32 x #s(literal -1 binary32))
(*.f32 x (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 (neg.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) x)
(*.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)))
(.f32 (neg.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(.f32 (neg.f32 (.f32 x x)) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (neg.f32 (.f32 x (.f32 x x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(.f32 (/.f32 (neg.f32 (.f32 x (*.f32 x x))) x) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (neg.f32 (.f32 x (*.f32 x x))) (neg.f32 x)) (/.f32 #s(literal -1 binary32) x))
(.f32 (/.f32 (neg.f32 (.f32 x (.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x)))
(.f32 (/.f32 (neg.f32 (.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (neg.f32 (.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) x))
(log.f32 (exp.f32 (neg.f32 x)))

eval77.0ms (0.8%)

Memory: 12.4MiB live, 200.9MiB allocated
Compiler: Compiled 21 187 to 2 699 computations (87.3% saved)

prune113.0ms (1.2%)

Memory

5.0MiB live, 288.6MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	809	9	818
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	809	10	819

Accuracy

100.0%

Counts

819 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶	55.5%	(/.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))))
	54.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
▶	43.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	56.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
	46.3%	(*.f32 (/.f32 #s(literal 1 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) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))
▶	64.2%	(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
	19.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
	29.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
▶	35.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 309 to 196 computations (36.6% saved)

simplify387.0ms (4%)

Memory

-62.3MiB live, 411.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
✓	cost-diff	64	(-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x)
✓	cost-diff	64	(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))
✓	cost-diff	320	(fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
✓	cost-diff	0	(/.f32 x s)
✓	cost-diff	0	(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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 #s(literal 1/2 binary32) (/.f32 x s) #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 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
✓	cost-diff	0	(/.f32 x s)
✓	cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓	cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓	cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
✓	cost-diff	0	(/.f32 (-.f32 (neg.f32 x) x) s)
✓	cost-diff	0	(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
✓	cost-diff	3776	(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))

Rules

8 976×	`lower-fma.f64`
8 970×	`lower-fma.f32`
2 950×	`lower-*.f64`
2 942×	`lower-*.f32`
1 846×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	351
0	69	333
1	114	326
2	221	326
3	410	319
4	657	319
5	1609	316
6	4265	316
7	5957	316
8	7357	316
0	8084	301

Stop Event

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

Calls

Call 1

Inputs
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
#s(literal 1 binary32)
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
(/.f32 (-.f32 (neg.f32 x) x) s)
(-.f32 (neg.f32 x) x)
(neg.f32 x)
x
s
(expm1.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(/.f32 x s)
x
s
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))
#s(literal 2 binary32)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s)
(-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x)
(/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)
(fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
(/.f32 (.f32 x (.f32 x x)) s)
(.f32 x (.f32 x x))
x
(*.f32 x x)
s
#s(literal -1/6 binary32)
(.f32 #s(literal 1/2 binary32) (.f32 x x))
#s(literal 1/2 binary32)

Outputs
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
#s(literal 1 binary32)
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
(/.f32 (-.f32 (neg.f32 x) x) s)
(-.f32 (neg.f32 x) x)
(neg.f32 x)
x
s
(expm1.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
#s(literal 2 binary32)
(/.f32 x s)
x
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(/.f32 x s)
x
s
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))
(fma.f32 (/.f32 x s) (fma.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s)
(*.f32 (/.f32 x s) (fma.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)))
(-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x)
(*.f32 x (fma.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)))
(/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
(.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(/.f32 (.f32 x (.f32 x x)) s)
(.f32 x (.f32 x x))
x
(*.f32 x x)
s
#s(literal -1/6 binary32)
(.f32 #s(literal 1/2 binary32) (.f32 x x))
#s(literal 1/2 binary32)

localize113.0ms (1.2%)

Memory

17.1MiB live, 252.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.2%	(/.f32 (.f32 x (.f32 x x)) s)
✓	accuracy	90.2%	(/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)
✓	accuracy	89.0%	(fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
✓	accuracy	58.0%	#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s)))
✓	accuracy	99.9%	(/.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))))
✓	accuracy	99.7%	(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓	accuracy	99.7%	(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
✓	accuracy	59.9%	#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)))
✓	accuracy	100.0%	(/.f32 x s)
✓	accuracy	100.0%	(-.f32 #s(literal 2 binary32) (/.f32 x s))
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓	accuracy	56.9%	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
✓	accuracy	65.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
✓	accuracy	99.9%	(expm1.f32 (/.f32 (neg.f32 x) s))
✓	accuracy	99.9%	(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
✓	accuracy	99.8%	(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
✓	accuracy	96.3%	(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))

Samples

42.0ms	174×	0	valid
20.0ms	82×	0	exit

Compiler

Compiled 287 to 36 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 14.0ms (30.4% of total)

ival-mult: 11.0ms (23.9% of total)

ival-add: 6.0ms (13% of total)

ival-expm1: 4.0ms (8.7% of total)

ival-sub: 4.0ms (8.7% of total)

const: 4.0ms (8.7% of total)

ival-exp: 2.0ms (4.3% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series81.0ms (0.8%)

Memory

-1.5MiB live, 86.4MiB allocated

Counts

21 → 504

Calls

Call 1

Inputs
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))>
#<alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))>
#<alt (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))>
#<alt (/.f32 (-.f32 (neg.f32 x) x) s)>
#<alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))>
#<alt (-.f32 #s(literal 2 binary32) (/.f32 x s))>
#<alt (/.f32 x s)>
#<alt (/.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))))>
#<alt #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)))>
#<alt (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))>
#<alt (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))>
#<alt (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))>
#<alt (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x)>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))>
#<alt (expm1.f32 (/.f32 (neg.f32 x) s))>
#<alt (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s)))>
#<alt (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)>
#<alt (/.f32 (.f32 x (.f32 x x)) s)>

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

Calls

126 calls:

Time	Variable		Point	Expression
3.0ms	s	@	inf	(+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)
3.0ms	x	@	inf	(+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2)
2.0ms	x	@	inf	(* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1))
1.0ms	s	@	inf	(* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1))
1.0ms	x	@	0	(* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1))

simplify457.0ms (4.7%)

Memory

24.3MiB live, 778.4MiB allocated

Algorithm

1×	egg-herbie

Rules

15 056×	`lower-fma.f64`
15 056×	`lower-fma.f32`
5 298×	`lower-*.f64`
5 298×	`lower-*.f32`
3 472×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	5326
1	1512	5000
2	4868	4867
0	9010	4530

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

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)))))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
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)))))))))
1/2
(+ 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)))
(* -1/2 (/ s x))
(/ (+ (* -1/2 s) (* -1/2 x)) x)
(/ (+ (* -1/2 s) (* x (- (* -1/6 (/ x s)) 1/2))) x)
(/ (+ (* -1/2 s) (* x (- (* x (- (* 1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s)))) 1/2))) x)
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(* -1/2 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* -1/3 x) (* 1/2 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* -1/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (* x (+ (* -1/3 x) (* 1/2 x))))) (pow s 3))) (+ (* -1/3 (/ x (pow s 2))) (+ (* 1/2 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))))
(* -1/2 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (+ (* -1 (/ (- (+ (* -1/2 (/ x s)) (* 1/3 (/ x s))) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/2 x) (* 1/3 x))) s)) (+ (* -1/3 (/ (pow x 2) s)) (* 1/6 (/ (pow x 2) s)))) (+ (* -1/2 x) (* 1/3 x))) s)) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -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))))
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(- (exp (* -2 (/ x s))) 1)
(* -2 (/ x s))
(/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s)
(/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s)
(* -2 (/ x 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))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
(* -2 (/ x s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ 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))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ 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))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 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 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* -1 (/ x s))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (/ x s))
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ 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))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 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 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -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 (+ (* -1 x) (* 2 s)))) (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 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))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ 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 x)
(* x (- (* 1/2 (/ x s)) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ 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))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(* -1 (/ x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
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 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ 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))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)
(/ (pow x 3) s)

Outputs
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 x x) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(fma.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 1/480 binary32) (/.f32 (.f32 x x) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))
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(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (neg.f32 (/.f32 x s)))
(* -1 (/ x s))
(neg.f32 (/.f32 x s))
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/.f32 (.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)
(/.f32 (fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) #s(literal -1 binary32)) (/.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/24 binary32)) (.f32 s (.f32 s s)))) s)
(* -1 (/ x s))
(neg.f32 (/.f32 x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(neg.f32 (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) (neg.f32 s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))
(/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal -1/24 binary32) (.f32 (.f32 x (.f32 x x)) #s(literal 1/6 binary32))) (neg.f32 s))) s)) (neg.f32 s))
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* -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 x) (* 1/2 (/ 1 s)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(/ (+ (* -1 s) (* 1/2 x)) s)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(/ (+ (* -1 s) (* 1/2 x)) s)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 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))))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
(+ 1 (exp (* -1 (/ x s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s))))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
(+.f32 #s(literal 2 binary32) (fma.f32 (.f32 x (.f32 x x)) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s))) (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) 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 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) s)
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1/2 binary32) (.f32 x s))) (neg.f32 (.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1/2 binary32) (.f32 x s))) (neg.f32 (.f32 x (*.f32 x x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1/2 binary32) (.f32 x s))) (neg.f32 (.f32 x (*.f32 x x))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x s)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x s)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x s)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s))
(* 1/2 (/ (pow x 2) s))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(* 1/2 (/ (pow x 2) s))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)
(/ (pow x 3) s)
(/.f32 (.f32 x (.f32 x x)) s)

rewrite339.0ms (3.5%)

Memory

-16.3MiB live, 689.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 088×	`lower-/.f64`
5 068×	`lower-/.f32`
4 346×	`lower-*.f64`
4 338×	`lower-*.f32`
2 648×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	285
0	69	271
1	284	262
2	2366	262
0	8700	262

Stop Event

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

Counts

21 → 869

Calls

Call 1

Inputs
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
(/.f32 (-.f32 (neg.f32 x) x) s)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(/.f32 x s)
(/.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))))
#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)))
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
(fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))
(-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
(expm1.f32 (/.f32 (neg.f32 x) s))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s)))
(/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)
(/.f32 (.f32 x (.f32 x x)) s)

Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32)))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (exp.f32 (/.f32 x (neg.f32 s)))) (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) #s(literal -1 binary32)))
(+.f32 (.f32 (exp.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (exp.f32 (/.f32 x (neg.f32 s))) (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) #s(literal -1 binary32)))
(fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(-.f32 (/.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))))
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(/.f32 (fma.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/8 binary32)))) (.f32 s (fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s)))))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s)) (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1/4 binary32))) (.f32 s (fma.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(/.f32 (.f32 (fma.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/8 binary32)))) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))) s))
(/.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s)) (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1/4 binary32))) #s(literal 1 binary32)) (.f32 (fma.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 x x))) s))
(/.f32 (.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (neg.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (fma.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/8 binary32))))) (neg.f32 (.f32 s (fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s))))))
(/.f32 (neg.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s)) (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1/4 binary32)))) (neg.f32 (.f32 s (fma.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (*.f32 x x))))))
(/.f32 (.f32 (fma.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) s)) (fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s))))
(/.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s)) (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) s)) (fma.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) #s(literal 1 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (.f32 (fma.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/8 binary32)))) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s))) s)))
(/.f32 (neg.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s)) (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1/4 binary32))) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 x x))) s)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s))))) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (neg.f32 (.f32 (fma.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s)))))
(/.f32 (neg.f32 (.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s)) (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) s))) (neg.f32 (fma.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) s))
(.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 #s(literal 1 binary32) s))
(.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) s) (/.f32 (fma.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 x x))) (fma.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(.f32 (neg.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s))) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s)))
(.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (*.f32 x x)) #s(literal -1/6 binary32)) s))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 s (fma.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/8 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s)))))
(.f32 (pow.f32 (/.f32 s (-.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s)) (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1/4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(.f32 (/.f32 (fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s s))) s) (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (fma.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (*.f32 s s)))))
(neg.f32 (/.f32 (.f32 x (.f32 x x)) s))
(exp.f32 (.f32 (log.f32 (/.f32 s (.f32 x (*.f32 x x)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 s (.f32 x (.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (.f32 x (.f32 x x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (.f32 x (.f32 x x)) s))
(/.f32 #s(literal 1 binary32) (/.f32 s (.f32 x (.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (.f32 x (.f32 x x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 s (.f32 x (.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (.f32 x (.f32 x x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 s (.f32 x (.f32 x x))) #s(literal 1 binary32))))
(/.f32 (.f32 x (.f32 x x)) s)
(/.f32 (.f32 x (.f32 x x)) (neg.f32 s))
(/.f32 (.f32 x (.f32 x x)) (neg.f32 (neg.f32 s)))
(/.f32 (.f32 x (.f32 x x)) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (.f32 (.f32 x (*.f32 x x)) #s(literal 1 binary32)) s)
(/.f32 (neg.f32 (.f32 (.f32 x (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 s))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 x (*.f32 x x)) s))
(.f32 x (/.f32 (.f32 x x) s))
(.f32 (.f32 x x) (/.f32 x s))
(.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(.f32 (/.f32 #s(literal 1 binary32) s) (.f32 x (*.f32 x x)))
(.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x))) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 x x) s) x)
(.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (.f32 x x) s))
(.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (.f32 x (neg.f32 x)) s))
(.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 (.f32 x x) s))
(.f32 (/.f32 (.f32 x x) #s(literal -1 binary32)) (/.f32 x (neg.f32 s)))
(.f32 (/.f32 (.f32 x x) #s(literal -1 binary32)) (/.f32 x s))
(*.f32 (/.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 x #s(literal 3/2 binary32)) s))
(.f32 (/.f32 (.f32 x (neg.f32 x)) #s(literal -1 binary32)) (/.f32 x s))
(*.f32 (/.f32 (pow.f32 (neg.f32 x) #s(literal 3/2 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 (neg.f32 x) #s(literal 3/2 binary32)) s))

eval137.0ms (1.4%)

Memory: 36.9MiB live, 419.5MiB allocated
Compiler: Compiled 38 849 to 4 258 computations (89% saved)

prune229.0ms (2.4%)

Memory

-7.5MiB live, 572.3MiB allocated

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	1 465	22	1 487
Fresh	1	3	4
Picked	2	3	5
Done	0	1	1
Total	1 468	29	1 497

Accuracy

100.0%

Counts

1 497 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	55.5%	(/.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))))
	53.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
	56.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) s) x) #s(literal 2 binary32))))
	43.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
	43.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 2 binary32))))
	54.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
	57.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	24.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal -2 binary32)))))
	52.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (*.f32 s s)) (-.f32 (/.f32 x s) #s(literal 2 binary32)))))
	56.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) s))))
✓	43.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	43.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
▶	56.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
	50.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) x) s))))
▶	49.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s))))
	39.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1 binary32) (.f32 x x)))))) s))))
	22.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
	33.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (fma.f32 x (neg.f32 s) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 s s)))))
	33.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
	33.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 #s(literal -1 binary32) (.f32 x s)))))))
	33.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x s)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s (*.f32 s s))))))
	33.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s (*.f32 s s))))))
	32.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s))))))))
	29.4%	(.f32 #s(approx (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (.f32 s #s(literal -1/2 binary32))) x)) (expm1.f32 (/.f32 (neg.f32 x) s)))
▶	19.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
▶	29.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
✓	35.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
▶	64.4%	#s(approx (* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))

Compiler

Compiled 1 069 to 644 computations (39.8% saved)

simplify190.0ms (2%)

Memory

-25.5MiB live, 493.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
✓	cost-diff	64	(-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x)
✓	cost-diff	64	(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))
✓	cost-diff	320	(fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
✓	cost-diff	0	(/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s)
✓	cost-diff	0	(+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s))
✓	cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s))))
✓	cost-diff	0	(fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32))
✓	cost-diff	0	(/.f32 x s)
✓	cost-diff	0	(fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
✓	cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
✓	cost-diff	0	(neg.f32 (/.f32 x s))
✓	cost-diff	0	(expm1.f32 (neg.f32 (/.f32 x s)))
✓	cost-diff	0	#s(approx (* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
✓	cost-diff	3616	(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))

Rules

5 338×	`lower-fma.f64`
5 330×	`lower-fma.f32`
3 732×	`lower-*.f64`
3 718×	`lower-*.f32`
1 738×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	570
0	98	526
1	181	516
2	346	516
3	657	504
4	949	504
5	2169	493
6	6025	493
0	8133	466

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(expm1.f32 (neg.f32 (/.f32 x s)))
(neg.f32 (/.f32 x s))
(/.f32 x s)
x
s
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(*.f32 x #s(literal -2 binary32))
#s(literal -2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
(fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32))
(*.f32 x x)
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
#s(literal -1/48 binary32)
(*.f32 s s)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s))
#s(literal 2 binary32)
(/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s)
#s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s)))
(/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))
(.f32 (.f32 x (*.f32 x x)) #s(literal -1/6 binary32))
(.f32 x (.f32 x x))
x
(*.f32 x x)
#s(literal -1/6 binary32)
(*.f32 s s)
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))
#s(literal 2 binary32)
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s)
(-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x)
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)
(fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
(.f32 (/.f32 (.f32 x x) s) x)
(/.f32 (*.f32 x x) s)
(*.f32 x x)
x
s
#s(literal -1/6 binary32)
(.f32 #s(literal 1/2 binary32) (.f32 x x))
#s(literal 1/2 binary32)

Outputs
#s(approx (* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(expm1.f32 (neg.f32 (/.f32 x s)))
(expm1.f32 (/.f32 x (neg.f32 s)))
(neg.f32 (/.f32 x s))
(/.f32 x (neg.f32 s))
(/.f32 x s)
x
s
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(expm1.f32 (*.f32 x (/.f32 #s(literal -2 binary32) s)))
(/.f32 (*.f32 x #s(literal -2 binary32)) s)
(*.f32 x (/.f32 #s(literal -2 binary32) s))
(*.f32 x #s(literal -2 binary32))
(-.f32 (neg.f32 x) x)
#s(literal -2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
#s(literal 1/4 binary32)
(/.f32 x s)
x
s
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 x (.f32 #s(literal -1/48 binary32) (/.f32 x (.f32 s s))) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) (fma.f32 x (.f32 #s(literal -1/48 binary32) (/.f32 x (.f32 s s))) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
(fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32))
(fma.f32 x (.f32 #s(literal -1/48 binary32) (/.f32 x (.f32 s s))) #s(literal 1/4 binary32))
(*.f32 x x)
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
#s(literal -1/48 binary32)
(*.f32 s s)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32))) (.f32 s s))) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32))) (.f32 s s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s))
(+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32))) (.f32 s s))) s))
#s(literal 2 binary32)
(/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s)
(/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32))) (.f32 s s))) s)
#s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s)))
#s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32))) (.f32 s s)))
(/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))
(/.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32))) (.f32 s s))
(.f32 (.f32 x (*.f32 x x)) #s(literal -1/6 binary32))
(.f32 x (.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(.f32 x (.f32 x x))
x
(*.f32 x x)
#s(literal -1/6 binary32)
(*.f32 s s)
s
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))
(fma.f32 (/.f32 x s) (fma.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s)
(*.f32 (/.f32 x s) (fma.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)))
(-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x)
(*.f32 x (fma.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s) #s(literal -1 binary32)))
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)
(.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 (.f32 x x) s))
(fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
(.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(.f32 (/.f32 (.f32 x x) s) x)
(/.f32 (.f32 x (.f32 x x)) s)
(/.f32 (*.f32 x x) s)
(*.f32 x x)
x
s
#s(literal -1/6 binary32)
(.f32 #s(literal 1/2 binary32) (.f32 x x))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
#s(literal 1/2 binary32)

localize193.0ms (2%)

Memory

2.4MiB live, 482.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	90.2%	(/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)
✓	accuracy	89.2%	(/.f32 (*.f32 x x) s)
✓	accuracy	89.0%	(fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
✓	accuracy	58.0%	#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s)))
✓	accuracy	99.2%	(.f32 (.f32 x (*.f32 x x)) #s(literal -1/6 binary32))
✓	accuracy	81.5%	(/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))
✓	accuracy	75.0%	#s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s)))
✓	accuracy	58.0%	#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s)))
✓	accuracy	99.9%	(fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
✓	accuracy	99.5%	(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
✓	accuracy	84.6%	(fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32))
✓	accuracy	58.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
✓	accuracy	100.0%	(/.f32 x s)
✓	accuracy	99.7%	(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
✓	accuracy	60.4%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
✓	accuracy	100.0%	#s(approx (* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
✓	accuracy	99.9%	(expm1.f32 (neg.f32 (/.f32 x s)))
✓	accuracy	99.9%	(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
✓	accuracy	96.5%	(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))

Samples

90.0ms	174×	0	valid
30.0ms	82×	0	exit

Compiler

Compiled 399 to 57 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-div: 35.0ms (36.1% of total)

ival-mult: 20.0ms (20.6% of total)

ival-add: 19.0ms (19.6% of total)

ival-expm1: 7.0ms (7.2% of total)

const: 7.0ms (7.2% of total)

ival-sub: 5.0ms (5.2% of total)

ival-exp: 2.0ms (2.1% of total)

ival-neg: 2.0ms (2.1% of total)

exact: 1.0ms (1% of total)

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

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

series88.0ms (0.9%)

Memory

2.5MiB live, 121.6MiB allocated

Counts

26 → 600

Calls

Call 1

Inputs
#<alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))>
#<alt #s(approx (* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))>
#<alt (expm1.f32 (neg.f32 (/.f32 x s)))>
#<alt (neg.f32 (/.f32 x s))>
#<alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))>
#<alt (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))>
#<alt (/.f32 x s)>
#<alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))>
#<alt (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))>
#<alt (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32))>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s)))>
#<alt (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s))>
#<alt (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s)>
#<alt (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))>
#<alt (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))>
#<alt (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x)>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))>
#<alt (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))>
#<alt (/.f32 #s(literal -1/48 binary32) (*.f32 s s))>
#<alt #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s)))>
#<alt (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))>
#<alt (.f32 (.f32 x (*.f32 x x)) #s(literal -1/6 binary32))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s)))>
#<alt (/.f32 (*.f32 x x) s)>
#<alt (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt 1/2>
#<alt (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))>
#<alt (- (+ 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))))))>
#<alt (- (+ 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)))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))>
#<alt (+ 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)))>
#<alt (+ 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)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1))>
#<alt 1/2>
#<alt (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s)))>
#<alt (- (+ 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))))))>
#<alt (- (+ 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)))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s)))>
#<alt (+ 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)))>
#<alt (+ 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)))>
#<alt (* -1 (/ x s))>
#<alt (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))>
#<alt (- (exp (neg (/ x s))) 1)>
#<alt (- (exp (neg (/ x s))) 1)>
#<alt (- (exp (neg (/ x s))) 1)>
#<alt (- (exp (neg (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (* -1 (/ x s))) 1)>
#<alt (- (exp (neg (/ x s))) 1)>
#<alt (- (exp (neg (/ x s))) 1)>
#<alt (- (exp (neg (/ x s))) 1)>
#<alt (- (exp (neg (/ x s))) 1)>
#<alt (* -1 (/ x s))>
#<alt (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)>
#<alt (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt (* -1 (/ x s))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 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))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 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)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (* 1/4 (/ x s))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (/ x s))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (/ x s))>
#<alt (/ (+ (* 1/4 x) (* 1/2 s)) s)>
#<alt (/ (+ (* 1/4 x) (* 1/2 s)) s)>
#<alt (/ (+ (* 1/4 x) (* 1/2 s)) s)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt (/ x s)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt (/ 1 (+ 1 (exp (* -1 (/ x s)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))>
#<alt (- (+ 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))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))>
#<alt (+ 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)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ x s)))>
#<alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))>
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#<alt (* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)>
#<alt (* -1 x)>
#<alt (- (* 1/2 (/ (pow x 2) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))>
#<alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt (+ 1 (exp (* -1 (/ x s))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))>
#<alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ x s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))>
#<alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (/ (pow x 2) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))>
#<alt (* -1/6 (/ (pow x 3) (pow s 2)))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)>
#<alt (* 1/2 (/ (pow x 2) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>
#<alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))>

Calls

150 calls:

Time	Variable		Point	Expression
32.0ms	x	@	inf	(/ (* (* x (* x x)) -1/6) (* s s))
1.0ms	x	@	inf	(/ (- (exp (neg (/ x s))) 1) (- (exp (/ (* x -2) s)) 1))
1.0ms	x	@	0	(/ (* (* x (* x x)) -1/6) (* s s))
1.0ms	x	@	-inf	(+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2)
1.0ms	s	@	0	(/ (- (exp (neg (/ x s))) 1) (- (exp (/ (* x -2) s)) 1))

simplify490.0ms (5.1%)

Memory

25.0MiB live, 981.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16 082×	`lower-fma.f64`
16 082×	`lower-fma.f32`
5 828×	`lower-*.f64`
5 828×	`lower-*.f32`
3 870×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	465	6886
1	1372	6537
2	4339	6339
0	9018	5904

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

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

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

rewrite308.0ms (3.2%)

Memory

7.5MiB live, 509.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 930×	`lower-*.f64`
4 916×	`lower-*.f32`
3 260×	`lower-/.f64`
3 238×	`lower-/.f32`
2 362×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	481
0	98	438
1	449	424
2	3204	424
0	8183	424

Stop Event

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

Counts

26 → 617

Calls

Call 1

Inputs
(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
#s(approx (* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
(expm1.f32 (neg.f32 (/.f32 x s)))
(neg.f32 (/.f32 x s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s))
(/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s)
(fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))
(-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
#s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s)))
(/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))
(.f32 (.f32 x (*.f32 x x)) #s(literal -1/6 binary32))
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s)))
(/.f32 (*.f32 x x) s)
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s)

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

eval134.0ms (1.4%)

Memory: 3.0MiB live, 245.0MiB allocated
Compiler: Compiled 32 746 to 2 889 computations (91.2% saved)

prune159.0ms (1.6%)

Memory

-9.8MiB live, 340.2MiB allocated

Pruning

35 alts after pruning (28 fresh and 7 done)

	Pruned	Kept	Total
New	1 311	10	1 321
Fresh	2	18	20
Picked	2	3	5
Done	0	4	4
Total	1 315	35	1 350

Accuracy

100.0%

Counts

1 350 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	55.5%	(/.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))))
	53.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
	43.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
	43.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) x #s(literal 2 binary32))))
	54.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
	52.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
▶	57.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	24.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal -2 binary32)))))
	52.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (*.f32 s s)) (-.f32 (/.f32 x s) #s(literal 2 binary32)))))
▶	56.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) s))))
	56.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s))))
✓	43.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	43.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
	56.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) s) (.f32 x (.f32 x #s(literal 1/2 binary32)))) s) x) s))))
	50.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) x) s))))
	55.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (/.f32 (.f32 x x) s) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))
	39.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1 binary32) (.f32 x x)))))) s))))
	50.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (.f32 x x) (.f32 x (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) s))))
▶	50.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))) s))))
	47.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s (*.f32 s s)))))))
	22.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
	33.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (fma.f32 x (neg.f32 s) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 s s)))))
▶	33.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
	33.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x s)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s (*.f32 s s))))))
	33.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s (*.f32 s s))))))
	32.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s))))))))
	29.4%	(.f32 #s(approx (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (.f32 s #s(literal -1/2 binary32))) x)) (expm1.f32 (/.f32 (neg.f32 x) s)))
✓	19.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
✓	29.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
	5.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (.f32 s (.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) (.f32 x x))) (neg.f32 (.f32 x (.f32 x x))))))
	29.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
▶	7.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
✓	35.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
✓	64.4%	#s(approx (* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))

Compiler

Compiled 1 239 to 749 computations (39.5% saved)

simplify280.0ms (2.9%)

Memory

16.2MiB live, 486.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) s)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) s))))
✓	cost-diff	64	(-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s))
✓	cost-diff	64	(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) s))
✓	cost-diff	0	(/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))) s)
✓	cost-diff	0	(+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))) s))
✓	cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))) s)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))) s))))
✓	cost-diff	0	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s))
✓	cost-diff	0	#s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))
✓	cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s))))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
✓	cost-diff	0	(/.f32 x s)
✓	cost-diff	0	(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
✓	cost-diff	0	#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
✓	cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
✓	cost-diff	0	(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
✓	cost-diff	0	(fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
✓	cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))

Rules

9 840×	`lower-fma.f64`
9 834×	`lower-fma.f32`
2 598×	`lower-*.f64`
2 582×	`lower-*.f32`
2 006×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	594
0	94	581
1	170	554
2	332	554
3	591	554
4	1171	554
5	3063	554
6	5708	554
0	8241	539

Stop Event

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

Calls

Call 1

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

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

localize181.0ms (1.9%)

Memory

22.0MiB live, 367.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f32 #s(literal -1/6 binary32) s)
✓	accuracy	98.6%	(.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
✓	accuracy	90.2%	(/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
✓	accuracy	56.0%	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) s)))
✓	accuracy	98.2%	(.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))
✓	accuracy	78.2%	(/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (*.f32 s s))
✓	accuracy	75.3%	#s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s))))
✓	accuracy	56.0%	#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))) s)))
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
✓	accuracy	78.9%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s))
✓	accuracy	74.4%	#s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))
✓	accuracy	55.6%	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s))))
✓	accuracy	100.0%	(/.f32 x s)
✓	accuracy	99.7%	(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
✓	accuracy	73.8%	#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
✓	accuracy	29.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
✓	accuracy	99.7%	(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
✓	accuracy	99.7%	(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
✓	accuracy	94.1%	(fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
✓	accuracy	55.6%	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))

Samples

90.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 361 to 49 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 23.0ms (34.2% of total)

ival-div: 21.0ms (31.2% of total)

ival-add: 9.0ms (13.4% of total)

ival-sub: 5.0ms (7.4% of total)

const: 4.0ms (5.9% of total)

ival-exp: 2.0ms (3% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

series23.0ms (0.2%)

Memory

16.5MiB live, 52.8MiB allocated

Counts

27 → 636

Calls

Call 1

Inputs
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))>
#<alt (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))>
#<alt (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)>
#<alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))>
#<alt #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))>
#<alt (*.f32 #s(literal 1/4 binary32) (/.f32 x s))>
#<alt (/.f32 x s)>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s))))>
#<alt #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))>
#<alt (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s))>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))) s))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))) s)))>
#<alt (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))) s))>
#<alt (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))) s)>
#<alt (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) s))>
#<alt (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s))>
#<alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) s))))>
#<alt #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) s)))>
#<alt (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))>
#<alt #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s))))>
#<alt (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (*.f32 s s))>
#<alt (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))>
#<alt (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)>
#<alt (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))>
#<alt (/.f32 #s(literal -1/6 binary32) s)>

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

Calls

159 calls:

Time	Variable		Point	Expression
3.0ms	s	@	inf	(- 2 (/ (- x (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s)) s))
0.0ms	x	@	-inf	(* 1/4 (/ x s))
0.0ms	s	@	-inf	(- 2 (/ (- x (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s)) s))
0.0ms	x	@	-inf	(/ (+ (* 1/2 (/ x s)) -1) s)
0.0ms	s	@	-inf	(/ (+ (* 1/2 (/ x s)) -1) s)

simplify653.0ms (6.8%)

Memory

-197.4MiB live, 839.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 002×	`lower-fma.f64`
13 002×	`lower-fma.f32`
4 764×	`lower-*.f64`
4 764×	`lower-*.f32`
3 124×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	328	6651
1	985	6221
2	2987	5984
0	8342	5683

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 633

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

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

rewrite320.0ms (3.3%)

Memory

20.3MiB live, 729.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 850×	`lower-*.f64`
4 834×	`lower-*.f32`
4 600×	`lower-/.f64`
4 576×	`lower-/.f32`
2 286×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	520
0	94	507
1	388	480
2	2872	472
0	8913	470

Stop Event

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

Counts

27 → 616

Calls

Call 1

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

Outputs
(neg.f32 (/.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)))))
(exp.f32 (*.f32 (log.f32 #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)))) #s(literal -1 binary32)))
(pow.f32 #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))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 #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))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 #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))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 #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))) #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)))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 #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))))) #s(literal -1 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) (neg.f32 (neg.f32 #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) (neg.f32 #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) (neg.f32 (neg.f32 (neg.f32 #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) (/.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) (/.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)))))
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(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s))) #s(literal 1/8 binary32)) (.f32 x x)) (fma.f32 #s(literal 1/36 binary32) (/.f32 (.f32 x x) (.f32 s s)) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s #s(literal -6 binary32)))))))
(/.f32 (.f32 (fma.f32 #s(literal 1/36 binary32) (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/4 binary32)) (.f32 x x)) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal 1/36 binary32) (/.f32 (.f32 x x) (.f32 s s))) (.f32 (.f32 x x) (.f32 x x))) (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32)))) (.f32 (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) (.f32 x x))))) (.f32 (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/216 binary32)) (.f32 s (.f32 s s))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))))))) (neg.f32 (neg.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32))) s)) (.f32 (.f32 #s(literal 1/36 binary32) (/.f32 (.f32 x x) (.f32 s s))) (.f32 (.f32 x x) (.f32 x x)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 #s(literal 1/36 binary32) (/.f32 (.f32 x x) (.f32 s s))) (.f32 (.f32 x x) (.f32 x x)) (neg.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) (.f32 x x))))))) (neg.f32 (neg.f32 (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))))))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 #s(literal 1/36 binary32) (/.f32 (.f32 x x) (.f32 s s))) (.f32 (.f32 x x) (.f32 x x))))) (neg.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32))) s))))
(/.f32 (neg.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x (.f32 x x)) (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s))) #s(literal 1/8 binary32)))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (/.f32 (.f32 x x) (.f32 s s)) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s #s(literal -6 binary32))))))))
(/.f32 (neg.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/36 binary32) (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/4 binary32)))) (neg.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s))) #s(literal 1/8 binary32)) (.f32 x x))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (/.f32 (.f32 x x) (.f32 s s)) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s #s(literal -6 binary32))))))))
(/.f32 (neg.f32 (.f32 (fma.f32 #s(literal 1/36 binary32) (/.f32 (.f32 x x) (.f32 s s)) #s(literal -1/4 binary32)) (.f32 x x))) (neg.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32))))
(.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
(.f32 (.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
(.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 x x))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/216 binary32)) (.f32 s (.f32 s s))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32))) s)) (.f32 (.f32 #s(literal 1/36 binary32) (/.f32 (.f32 x x) (.f32 s s))) (.f32 (.f32 x x) (*.f32 x x))))))
(.f32 (fma.f32 (.f32 #s(literal 1/36 binary32) (/.f32 (.f32 x x) (.f32 s s))) (.f32 (.f32 x x) (.f32 x x)) (neg.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) (.f32 x x))))) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (*.f32 x x) #s(literal -1/2 binary32)))))
(.f32 (.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x)
(neg.f32 (/.f32 #s(literal 1/6 binary32) s))
(exp.f32 (.f32 (log.f32 (.f32 s #s(literal -6 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 s #s(literal -6 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s #s(literal -6 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 s #s(literal -6 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal -6 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 s #s(literal -6 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal -6 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s #s(literal -6 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1/6 binary32) s)
(/.f32 #s(literal -1/6 binary32) (neg.f32 (neg.f32 s)))
(/.f32 #s(literal 1/6 binary32) (neg.f32 s))
(/.f32 #s(literal 1/6 binary32) (neg.f32 (neg.f32 (neg.f32 s))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) s))
(*.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32))

eval203.0ms (2.1%)

Memory: 2.0MiB live, 188.5MiB allocated
Compiler: Compiled 28 937 to 2 867 computations (90.1% saved)

prune149.0ms (1.5%)

Memory

-3.6MiB live, 364.0MiB allocated

Pruning

41 alts after pruning (32 fresh and 9 done)

	Pruned	Kept	Total
New	1 285	20	1 305
Fresh	11	12	23
Picked	3	2	5
Done	0	7	7
Total	1 299	41	1 340

Accuracy

100.0%

Counts

1 340 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	57.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (*.f32 x x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (neg.f32 x)) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
✓	55.5%	(/.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))))
	53.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) #s(literal 2 binary32))))
✓	57.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	52.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32))))
	43.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* 1/2 (/ x s)) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	51.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* 1/2 (/ x s)) -1) s) (/.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 s s))) #s(literal 2 binary32))))
	24.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal -2 binary32)))))
	52.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (*.f32 s s)) (-.f32 (/.f32 x s) #s(literal 2 binary32)))))
	57.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 x (/.f32 (.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s))) s))))
	51.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s s)))) s))))
	49.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 s #s(literal -1/2 binary32) (.f32 x #s(literal 1/6 binary32)))) (.f32 s s))) s))))
✓	43.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	43.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
	50.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 x (/.f32 (.f32 s s) (.f32 (*.f32 x x) #s(literal -1/6 binary32))))) s))))
	49.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) x))) s))))
	39.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1 binary32) (.f32 x x)))))) s))))
	50.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (.f32 x x) (.f32 x (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) s))))
	54.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 (/.f32 x s) (*.f32 x #s(literal -1/6 binary32))) s))) s))))
	47.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s (*.f32 s s)))))))
	47.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s (*.f32 s s)))))))
	33.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s)) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s (*.f32 s s))))))
	32.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s)) s)) (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s))))))))
	22.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
	33.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (neg.f32 (.f32 x (fma.f32 x #s(literal -1/2 binary32) s))) (.f32 s s)))))
	32.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))))
	33.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (/.f32 x s) (.f32 #s(literal 1/2 binary32) (/.f32 x s))))))
	34.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
	35.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))))))
	36.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s)))))))
	35.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (.f32 s s))))))
	33.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s (*.f32 s s))))))
	29.4%	(.f32 #s(approx (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (.f32 s #s(literal -1/2 binary32))) x)) (expm1.f32 (/.f32 (neg.f32 x) s)))
✓	19.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
✓	29.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
	5.2%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (.f32 s (.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) (.f32 x x))) (neg.f32 (.f32 x (.f32 x x))))))
	29.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
✓	7.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
✓	35.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
✓	64.4%	#s(approx (* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))

Compiler

Compiled 1 859 to 751 computations (59.6% saved)

regimes178.0ms (1.8%)

Memory

-6.9MiB live, 226.7MiB allocated

Counts

62 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* 1/2 (/ x s)) -1) #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) 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) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* 1/2 (/ x s)) -1) s) (/.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (neg.f32 (.f32 x (fma.f32 x #s(literal -1/2 binary32) s))) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (/.f32 x s) (.f32 #s(literal 1/2 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #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 (/ x s)) -1) (*.f32 #s(literal 1/2 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 (/ x s)) -1)) 2) (/.f32 (fma.f32 x (neg.f32 s) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s)) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 #s(literal -1 binary32) (.f32 x s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (.f32 x x) (.f32 x (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 (/.f32 x s) (*.f32 x #s(literal -1/6 binary32))) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (/.f32 (.f32 x x) s) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 x (/.f32 (.f32 s s) (.f32 (*.f32 x x) #s(literal -1/6 binary32))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 s #s(literal -1/2 binary32) (.f32 x #s(literal 1/6 binary32)))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x s)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 x (/.f32 (.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (*.f32 x x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (neg.f32 x)) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s)) s)) (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) s) (.f32 x (.f32 x #s(literal 1/2 binary32)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (*.f32 s s)) (-.f32 (/.f32 x s) #s(literal 2 binary32)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (.f32 s (.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) (.f32 x x))) (neg.f32 (.f32 x (.f32 x x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1 binary32) (.f32 x x)))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) #s(literal -4 binary32)) (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) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(.f32 #s(approx (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (/.f32 (fma.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (.f32 s #s(literal -1/2 binary32))) x)) (expm1.f32 (/.f32 (neg.f32 x) s)))
#s(approx (* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(*.f32 (/.f32 #s(literal 1 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) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))))

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

Calls

7 calls:

71.0ms	x
27.0ms	(neg.f32 x)
17.0ms	s
16.0ms	(/.f32 (neg.f32 x) s)
15.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`s`
99.9%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
99.9%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
99.9%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
99.9%	1	`(/.f32 (neg.f32 x) s)`
99.9%	1	`(neg.f32 x)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes136.0ms (1.4%)

Memory

3.9MiB live, 172.8MiB allocated

Counts

57 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* 1/2 (/ x s)) -1) #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) 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) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* 1/2 (/ x s)) -1) s) (/.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (neg.f32 (.f32 x (fma.f32 x #s(literal -1/2 binary32) s))) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (/.f32 x s) (.f32 #s(literal 1/2 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #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 (/ x s)) -1) (*.f32 #s(literal 1/2 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 (/ x s)) -1)) 2) (/.f32 (fma.f32 x (neg.f32 s) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s)) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 #s(literal -1 binary32) (.f32 x s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (.f32 x x) (.f32 x (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 (/.f32 x s) (*.f32 x #s(literal -1/6 binary32))) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (/.f32 (.f32 x x) s) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 x (/.f32 (.f32 s s) (.f32 (*.f32 x x) #s(literal -1/6 binary32))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 s #s(literal -1/2 binary32) (.f32 x #s(literal 1/6 binary32)))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x s)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 x (/.f32 (.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (*.f32 x x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (neg.f32 x)) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s)) s)) (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) s) (.f32 x (.f32 x #s(literal 1/2 binary32)))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (/.f32 (.f32 x x) s) x) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) (*.f32 s s)) (-.f32 (/.f32 x s) #s(literal 2 binary32)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2) (.f32 (+.f32 (/.f32 #s(literal 1/48 binary32) (.f32 s (.f32 s s))) (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) (.f32 x x))) (neg.f32 (.f32 x (.f32 x x))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x s)) (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1 binary32) (.f32 x x)))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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 (-.f32 x (*.f32 x (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s))) s))))

Calls

7 calls:

42.0ms	(neg.f32 x)
17.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
17.0ms	x
16.0ms	s
15.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
65.8%	2	`x`
57.8%	1	`s`
66.1%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
66.1%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
66.1%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
66.1%	2	`(/.f32 (neg.f32 x) s)`
65.8%	2	`(neg.f32 x)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes71.0ms (0.7%)

Memory

-8.0MiB live, 149.0MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* 1/2 (/ x s)) -1) #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) 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) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* 1/2 (/ x s)) -1) s) (/.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (neg.f32 (.f32 x (fma.f32 x #s(literal -1/2 binary32) s))) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (/.f32 x s) (.f32 #s(literal 1/2 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (/.f32 (.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #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 (/ x s)) -1) (*.f32 #s(literal 1/2 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 (/ x s)) -1)) 2) (/.f32 (fma.f32 x (neg.f32 s) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s)) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 #s(literal -1 binary32) (.f32 x s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) #s(approx (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (.f32 x x) (.f32 x (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 x (/.f32 (.f32 (/.f32 x s) (*.f32 x #s(literal -1/6 binary32))) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (.f32 (/.f32 (.f32 x x) s) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (/.f32 x (/.f32 (.f32 s s) (.f32 (*.f32 x x) #s(literal -1/6 binary32))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 s #s(literal -1/2 binary32) (.f32 x #s(literal 1/6 binary32)))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x s)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* (* x x) (+ (* x (/ -1/6 s)) 1/2)) s) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s s)))) s))))

Outputs

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

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

Calls

6 calls:

13.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
13.0ms	x
12.0ms	(neg.f32 x)
12.0ms	(/.f32 (neg.f32 x) s)
9.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
65.0%	2	`x`
65.0%	2	`(neg.f32 x)`
65.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
65.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
65.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
65.7%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes44.0ms (0.5%)

Memory

-0.3MiB live, 81.0MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

10.0ms	(neg.f32 x)
8.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
7.0ms	x
7.0ms	(/.f32 (neg.f32 x) s)
6.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
63.7%	2	`x`
63.7%	2	`(neg.f32 x)`
64.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
64.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
64.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
64.2%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes21.0ms (0.2%)

Memory

0.4MiB live, 37.6MiB allocated

Counts

17 → 2

Calls

Call 1

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

Calls

4 calls:

6.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms	(/.f32 (neg.f32 x) s)
4.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
4.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
63.8%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
63.8%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
63.8%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
63.8%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes30.0ms (0.3%)

Memory

16.9MiB live, 54.9MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

6.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
5.0ms	(neg.f32 x)
5.0ms	x
5.0ms	(/.f32 (neg.f32 x) s)
4.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
63.1%	2	`x`
63.1%	2	`(neg.f32 x)`
63.5%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
63.5%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
63.5%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
63.5%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes19.0ms (0.2%)

Memory

-9.1MiB live, 28.8MiB allocated

Counts

14 → 2

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
63.5%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
63.5%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
63.5%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
63.5%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes22.0ms (0.2%)

Memory

-11.0MiB live, 29.6MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

10.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
4.0ms	(/.f32 (neg.f32 x) s)
4.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
3.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
63.5%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
63.5%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
63.5%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
63.5%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes26.0ms (0.3%)

Memory

11.8MiB live, 50.1MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
43.8%	1	`s`
51.9%	2	`x`
51.9%	2	`(neg.f32 x)`
52.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
52.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
52.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
52.6%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes9.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
52.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
52.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
52.6%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes40.0ms (0.4%)

Memory

-16.8MiB live, 21.8MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

6 calls:

29.0ms	(/.f32 (neg.f32 x) s)
2.0ms	(neg.f32 x)
2.0ms	x
2.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
50.6%	2	`x`
50.6%	2	`(neg.f32 x)`
50.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
50.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
50.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
50.7%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes43.0ms (0.4%)

Memory

-19.6MiB live, 19.6MiB allocated

Accuracy

Total -9.0b remaining (-43.1%)

Threshold costs -9b (-43.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

31.0ms	s
2.0ms	(neg.f32 x)
2.0ms	x
2.0ms	(/.f32 (neg.f32 x) s)
2.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
35.0%	1	`s`
35.0%	1	`x`
35.0%	1	`(neg.f32 x)`
35.0%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
35.0%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
35.0%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
35.0%	1	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.470567226409912	-0.47221824526786804

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.470567226409912	-0.47221824526786804

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	12.007890701293945	128.43414306640625

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.027533063665032387	0.03185645490884781

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	12.007890701293945	128.43414306640625

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	12.007890701293945	128.43414306640625

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	12.007890701293945	128.43414306640625

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.470567226409912	-0.47221824526786804

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.470567226409912	-0.47221824526786804

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4395935535430908	2.271350145339966

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify66.0ms (0.7%)

Memory

-27.0MiB live, 40.4MiB allocated

Algorithm

1×	egg-herbie

Rules

254×	`distribute-lft-neg-in_binary32`
144×	`neg-mul-1_binary32`
136×	`unsub-neg_binary32`
134×	`neg-sub0_binary32`
98×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	463
1	125	463
2	146	463
3	163	463
4	197	463
5	241	463
6	312	463
7	429	463
8	565	463
9	674	463
10	789	463
11	849	463
12	868	463
13	871	463

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 (/.f32 (neg.f32 x) s) #s(literal -5 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 (-.f32 x (.f32 x (/.f32 (.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s))) s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 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))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s))))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 16106127/536870912 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))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 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))) (fma.f32 x #s(approx (/ (+ (* 1/2 (/ x s)) -1) s) (/.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 s s))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 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))) (fma.f32 x (/.f32 #s(approx (+ (* 1/2 (/ x s)) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.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 x (neg.f32 s))) #s(literal 1 binary32)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 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 (-.f32 x (.f32 x (/.f32 (.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s))) s)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 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 (-.f32 (.f32 x (/.f32 (.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) x) s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 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))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 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))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s))))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 20 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s))))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 16106127/536870912 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))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 16106127/536870912 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))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (.f32 s s)))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 20 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 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))) (fma.f32 x #s(approx (/ (+ (* 1/2 (/ x s)) -1) s) (/.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 s s))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 20 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))) (fma.f32 x #s(approx (/ (+ (* 1/2 (/ x s)) -1) s) (/.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 s s))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 20 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 20 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 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))) (fma.f32 x (/.f32 #s(approx (+ (* 1/2 (/ x s)) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 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))) (fma.f32 x (/.f32 #s(approx (+ (* 1/2 (/ x s)) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

soundness1.5s (15.8%)

Memory

45.9MiB live, 990.0MiB allocated

Rules

40 054×	`lower-fma.f64`
40 054×	`lower-fma.f32`
15 056×	`lower-fma.f64`
15 056×	`lower-fma.f32`
13 002×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	285
0	69	271
1	284	262
2	2366	262
0	8700	262
0	62	520
0	94	507
1	388	480
2	2872	472
0	8913	470
0	328	6651
1	985	6221
2	2987	5984
0	8342	5683
0	501	5326
1	1512	5000
2	4868	4867
0	9010	4530
0	140	758
1	378	748
2	1147	742
3	3893	722
0	8438	682

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 450 to 227 computations (49.6% saved)

preprocess48.0ms (0.5%)

Memory: 6.7MiB live, 120.0MiB allocated
Compiler: Compiled 494 to 148 computations (70% 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	98	463
1	125	463
2	146	463
3	163	463
4	197	463
5	241	463
6	312	463
7	429	463
8	565	463
9	674	463
10	789	463
11	849	463
12	868	463
13	871	463

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	98	463
1	125	463
2	146	463
3	163	463
4	197	463
5	241	463
6	312	463
7	429	463
8	565	463
9	674	463
10	789	463
11	849	463
12	868	463
13	871	463

analyze39.0ms (0.4%)

sample953.0ms (9.9%)

preprocess34.0ms (0.4%)

explain91.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize25.0ms (0.3%)

series9.0ms (0.1%)

simplify604.0ms (6.3%)

rewrite304.0ms (3.1%)

eval77.0ms (0.8%)

prune113.0ms (1.2%)

simplify387.0ms (4%)

localize113.0ms (1.2%)

series81.0ms (0.8%)

simplify457.0ms (4.7%)

rewrite339.0ms (3.5%)

eval137.0ms (1.4%)

prune229.0ms (2.4%)

simplify190.0ms (2%)

localize193.0ms (2%)

series88.0ms (0.9%)

simplify490.0ms (5.1%)

rewrite308.0ms (3.2%)

eval134.0ms (1.4%)

prune159.0ms (1.6%)

simplify280.0ms (2.9%)

localize181.0ms (1.9%)

series23.0ms (0.2%)

simplify653.0ms (6.8%)

rewrite320.0ms (3.3%)

eval203.0ms (2.1%)

prune149.0ms (1.5%)

regimes178.0ms (1.8%)

regimes136.0ms (1.4%)

regimes71.0ms (0.7%)

regimes44.0ms (0.5%)

regimes21.0ms (0.2%)

regimes30.0ms (0.3%)

regimes19.0ms (0.2%)

regimes22.0ms (0.2%)

regimes26.0ms (0.3%)

regimes9.0ms (0.1%)

regimes40.0ms (0.4%)

regimes43.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify66.0ms (0.7%)

soundness1.5s (15.8%)

preprocess48.0ms (0.5%)

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	98	463
1	125	463
2	146	463
3	163	463
4	197	463
5	241	463
6	312	463
7	429	463
8	565	463
9	674	463
10	789	463
11	849	463
12	868	463
13	871	463