Metrics for Logistic function

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze53.0ms (0.6%)

Memory

-40.2MiB live, 44.7MiB 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)

sample977.0ms (10.1%)

Memory

62.0MiB live, 1 427.7MiB allocated

Samples

712.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 486.0ms

ival-div: 131.0ms (27% of total)

const: 111.0ms (22.9% of total)

ival-exp: 96.0ms (19.8% of total)

ival-<=: 49.0ms (10.1% of total)

ival-add: 39.0ms (8% of total)

ival-neg: 36.0ms (7.4% of total)

ival-and: 11.0ms (2.3% of total)

exact: 10.0ms (2.1% of total)

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

Bogosity

explain89.0ms (0.9%)

Memory

1.3MiB live, 203.6MiB 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	(-3.176800225593713e-32 8.685299001253195e-35)	-	`(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	2

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	2	2	252

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

33.0ms

512×

valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 11.0ms (53.6% of total)

ival-exp: 4.0ms (19.5% of total)

ival-add: 2.0ms (9.7% of total)

ival-neg: 2.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess30.0ms (0.3%)

Memory

-6.2MiB live, 32.6MiB 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)))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify8.0ms (0.1%)

Memory

-24.1MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize23.0ms (0.2%)

Memory

13.4MiB live, 52.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f32 x)
accuracy	0.02734375	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.03735250946961356	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.0390625	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Samples

14.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

ival-div: 3.0ms (37.4% of total)

ival-exp: 2.0ms (24.9% of total)

ival-add: 1.0ms (12.5% of total)

ival-neg: 1.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

5 → 108

Calls

Call 1

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

Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#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))))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#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)))))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#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))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ x s))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ x s))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ x s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())

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	s	@	inf	(/ 1 (+ 1 (exp (/ (neg x) s))))
1.0ms	x	@	0	(exp (/ (neg x) s))
1.0ms	x	@	inf	(/ 1 (+ 1 (exp (/ (neg x) s))))

simplify400.0ms (4.1%)

Memory

13.6MiB live, 715.5MiB 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)

rewrite282.0ms (2.9%)

Memory

-18.6MiB live, 543.2MiB allocated

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)))

eval113.0ms (1.2%)

Memory: 6.0MiB live, 263.3MiB allocated
Compiler: Compiled 21 187 to 2 699 computations (87.3% saved)

prune132.0ms (1.4%)

Memory

-0.7MiB live, 320.6MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	807	11	818
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	807	12	819

Accuracy

99.9%

Counts

819 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.0%	(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
	51.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.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)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶	57.4%	(/.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))))
	60.3%	(/.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))))
▶	44.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	59.6%	(/.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))))
▶	62.3%	(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
	24.3%	#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)))
	13.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) 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)))
	32.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
▶	37.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 395 to 248 computations (37.2% saved)

simplify189.0ms (2%)

Memory

-23.4MiB live, 295.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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)

localize100.0ms (1%)

Memory

1.6MiB live, 201.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.4653976901995451	(/.f32 (.f32 x (.f32 x x)) s)
accuracy	3.2593881433969454	(/.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	3.452678566729677	(fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
accuracy	12.196495130552908	#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	0.0390625	(/.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	0.04296875	(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
accuracy	0.08642370731189397	(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
accuracy	11.75114339980239	#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	0	(/.f32 x s)
accuracy	0	(-.f32 #s(literal 2 binary32) (/.f32 x s))
accuracy	0.0390625	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
accuracy	12.592765929785365	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
accuracy	10.40169206529729	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy	0.06452670913058008	(/.f32 (-.f32 (neg.f32 x) x) s)
accuracy	0.07157003162065376	(expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))
accuracy	0.08203125	(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))
accuracy	1.6261373914688315	(*.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	173×	0	valid
19.0ms	83×	0	exit

Compiler

Compiled 287 to 36 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 13.0ms (28.9% of total)

ival-mult: 10.0ms (22.2% of total)

ival-add: 6.0ms (13.3% of total)

ival-sub: 6.0ms (13.3% of total)

const: 4.0ms (8.9% of total)

ival-expm1: 3.0ms (6.7% of total)

ival-exp: 2.0ms (4.4% of total)

exact: 1.0ms (2.2% of total)

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

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

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

series51.0ms (0.5%)

Memory

-6.3MiB live, 71.6MiB allocated

Counts

20 → 480

Calls

Call 1

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

Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor 0 x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) (taylor 0 x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#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))))) (taylor 0 x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor -inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor -inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor -inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor -inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor 0 s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor 0 s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor 0 s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor 0 s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s))) (taylor inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#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)))))) (taylor inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(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))))))))) (taylor inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor -inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s))) (taylor -inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#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))) (taylor -inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#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))) (taylor -inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ s x)) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/2 s) (* -1/2 x)) x) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/2 s) (* x (- (* -1/6 (/ x s)) 1/2))) x) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/2 s) (* x (- (* x (- (* 1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s)))) 1/2))) x) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (- (exp (* -2 (/ x s))) 1)) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (- (exp (* -2 (/ x s))) 1)) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (- (exp (* -2 (/ x s))) 1)) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (- (exp (* -2 (/ x s))) 1)) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (- (exp (* -2 (/ x s))) 1)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (- (exp (* -2 (/ x s))) 1)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (- (exp (* -2 (/ x s))) 1)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (- (exp (* -2 (/ x s))) 1)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (- (exp (* -2 (/ x s))) 1)) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (- (exp (* -2 (/ x s))) 1)) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (- (exp (* -2 (/ x s))) 1)) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (- (exp (* -2 (/ x s))) 1)) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ s x)) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x))))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
#s(alt (* s (- (* -1 (/ (+ (* -1/3 x) (* 1/2 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x))))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (patch (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #<representation binary32>) () ())) ())
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#s(alt (/ (pow x 3) s) (taylor inf x) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor inf x) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor inf x) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor inf x) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor -inf x) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor -inf x) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor -inf x) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor -inf x) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor 0 s) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor 0 s) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor 0 s) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor 0 s) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor inf s) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor inf s) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor inf s) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor inf s) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor -inf s) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor -inf s) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor -inf s) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())
#s(alt (/ (pow x 3) s) (taylor -inf s) (#s(alt (/.f32 (.f32 x (.f32 x x)) s) (patch (/.f32 (.f32 x (.f32 x x)) s) #<representation binary32>) () ())) ())

Calls

120 calls:

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

simplify375.0ms (3.9%)

Memory

2.6MiB live, 398.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 504×	`lower-fma.f64`
14 504×	`lower-fma.f32`
5 184×	`lower-*.f64`
5 184×	`lower-*.f32`
3 336×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	475	5038
1	1440	4758
2	4697	4625
0	8791	4315

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

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
(- (* 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 x (/.f32 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))
(/.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)))
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) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/12 binary32) (.f32 s s)) #s(literal 1/2 binary32))) (fma.f32 x (/.f32 (.f32 #s(literal 1/4 binary32) x) (.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 (fma.f32 x (.f32 #s(literal -1/48 binary32) (.f32 x (/.f32 x (.f32 s (.f32 s s))))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/12 binary32) (.f32 s s)) (.f32 (/.f32 x s) #s(literal -1/4 binary32)))) (-.f32 #s(literal 1/2 binary32) (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 (.f32 x x) #s(literal 2/3 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) x) (.f32 s (.f32 s s))) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/3 binary32) (.f32 s s)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s (*.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 (.f32 #s(literal 1/4 binary32) x) (.f32 (*.f32 x x) #s(literal 2/3 binary32)) #s(literal 0 binary32))) (neg.f32 s)) (neg.f32 s))) s))
(* -1/2 (/ s x))
(/.f32 (*.f32 s #s(literal -1/2 binary32)) x)
(/ (+ (* -1/2 s) (* -1/2 x)) x)
(/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 x s)) x)
(/ (+ (* -1/2 s) (* x (- (* -1/6 (/ x s)) 1/2))) x)
(/.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)
(/ (+ (* -1/2 s) (* x (- (* x (- (* 1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s)))) 1/2))) x)
(/.f32 (fma.f32 x (fma.f32 x (fma.f32 (.f32 x (/.f32 x (.f32 s (.f32 s s)))) #s(literal 1/90 binary32) (/.f32 #s(literal -1/6 binary32) s)) #s(literal -1/2 binary32)) (.f32 s #s(literal -1/2 binary32))) x)
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(/ 1 (- (exp (* -2 (/ x s))) 1))
(/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))
(* -1/2 (/ s x))
(/.f32 (*.f32 s #s(literal -1/2 binary32)) x)
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(fma.f32 s (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32))
(* s (- (* -1 (/ (+ (* -1/3 x) (* 1/2 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(fma.f32 s (/.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 s s)) (fma.f32 s (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32)))
(* 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)))))))
(.f32 s (-.f32 (+.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) s) (/.f32 #s(literal -1/2 binary32) x)) (/.f32 (fma.f32 x (.f32 x #s(literal 1/6 binary32)) (.f32 (.f32 x x) #s(literal -1/6 binary32))) (.f32 s (.f32 s s)))))
(* -1/2 (/ s x))
(/.f32 (*.f32 s #s(literal -1/2 binary32)) x)
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(fma.f32 s (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32))
(* -1 (* s (+ (* -1 (/ (- (+ (* -1/2 (/ x s)) (* 1/3 (/ x s))) 1/2) s)) (* 1/2 (/ 1 x)))))
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#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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(/ (+ (* -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)

rewrite277.0ms (2.9%)

Memory

35.8MiB live, 344.7MiB allocated

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	280
0	69	266
1	284	257
2	2366	257
0	8700	257

Stop Event

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

Counts

20 → 791

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))))
(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)))))
(-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (+.f32 x x) s)) #s(literal 1 binary32)) (.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)))))
(-.f32 (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (+.f32 x x) s) #s(literal 3 binary32))) (+.f32 (exp.f32 (.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (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 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (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 (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (+.f32 x x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (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 (/.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))
(-.f32 (/.f32 (/.f32 (exp.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 (+.f32 x x) s)))) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (+.f32 x x) s)))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (expm1.f32 (/.f32 (+.f32 x x) s))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))) (/.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x 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 (expm1.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 (expm1.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 (+.f32 x x) s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (.f32 (expm1.f32 (/.f32 (+.f32 x 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 (+.f32 x x) s))) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (+.f32 x 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 (+.f32 x x) s))) (expm1.f32 (/.f32 (+.f32 x 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 (+.f32 x x) s))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) #s(literal -1 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))) (neg.f32 (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x 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 (+.f32 x x) s))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x 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 (+.f32 x x) s))))
(/.f32 (*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (*.f32 #s(literal -1 binary32) (expm1.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (.f32 (expm1.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (+.f32 x x) s))))
(/.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (+.f32 x x) s))))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s)))) (neg.f32 (.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(/.f32 (neg.f32 (.f32 #s(literal -1 binary32) (expm1.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (*.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))) (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (+.f32 x x) s))))))
(/.f32 (neg.f32 (.f32 (expm1.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (+.f32 x x) s))) (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (.f32 (expm1.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) #s(literal -1 binary32))) (neg.f32 (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (+.f32 x x) s))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))))
(/.f32 (neg.f32 (.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) #s(literal -1 binary32))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s))))))
(/.f32 (neg.f32 (neg.f32 (expm1.f32 (/.f32 x (neg.f32 s))))) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (expm1.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (neg.f32 (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (expm1.f32 (/.f32 x (neg.f32 s))))) (neg.f32 (neg.f32 (expm1.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (.f32 (expm1.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))) (neg.f32 (+.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (exp.f32 (/.f32 (+.f32 x x) s)))))
(/.f32 (neg.f32 (*.f32 (expm1.f32 (/.f32 (+.f32 x x) s)) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (expm1.f32 (/.f32 x (neg.f32 s))))
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 x x) s))) (/.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
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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))

eval183.0ms (1.9%)

Memory: -8.8MiB live, 268.7MiB allocated
Compiler: Compiled 35 006 to 3 956 computations (88.7% saved)

prune204.0ms (2.1%)

Memory

3.2MiB live, 433.7MiB allocated

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	1 362	23	1 385
Fresh	0	6	6
Picked	2	3	5
Done	0	1	1
Total	1 364	33	1 397

Accuracy

100.0%

Counts

1 397 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.0%	(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))))
	51.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.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)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	57.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
✓	57.4%	(/.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))))
	55.1%	(/.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))))
	59.9%	(/.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))))
	43.4%	(/.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))))
	57.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
	60.3%	(/.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))))
▶	54.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) 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))))
	57.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
▶	59.1%	(/.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))))
	31.8%	(/.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)))))
	60.6%	(/.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))))
✓	44.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	44.4%	(/.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)))))
	55.3%	(/.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))))
▶	54.5%	(/.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))))
	57.4%	(/.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 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))) s))))
	19.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
	54.6%	(/.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 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 s s)))))
	33.6%	(/.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)))))
	34.4%	(/.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))))))
	33.8%	(/.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))))))
	33.7%	(/.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))))))))
	62.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
	24.3%	#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)))
	13.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) 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)))
	20.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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))))))
▶	32.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
✓	37.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
▶	62.3%	#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 1 219 to 744 computations (39% saved)

simplify306.0ms (3.2%)

Memory

9.2MiB live, 263.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 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)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) 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))))
cost-diff	160	(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))
cost-diff	320	(fma.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
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	(/.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))))
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

9 228×	`lower-fma.f64`
9 216×	`lower-fma.f32`
3 534×	`lower-*.f64`
3 522×	`lower-*.f32`
1 430×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	544
0	99	507
1	187	497
2	373	497
3	728	487
4	1092	487
5	2667	475
6	6710	473
0	8111	452

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

localize157.0ms (1.6%)

Memory

-21.2MiB live, 254.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.895411366189062	(/.f32 x (.f32 s (.f32 s s)))
accuracy	2.979442523031576	(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))
accuracy	7.4639178210462935	(fma.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
accuracy	12.196495130552908	#s(approx (+ 1 (exp (/ (neg x) 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)))
accuracy	0.06640625	(.f32 (.f32 x (*.f32 x x)) #s(literal -1/6 binary32))
accuracy	5.786734424066365	(/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s s))
accuracy	9.010225863053265	#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	12.196495130552908	#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	0.08642370731189397	(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
accuracy	0.08984375	(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s)
accuracy	0.9140930001645632	(fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
accuracy	11.75114339980239	#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)))
accuracy	0	(/.f32 x s)
accuracy	0.10792053341908864	(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	11.670552519111446	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
accuracy	0.06079000946961356	(expm1.f32 (neg.f32 (/.f32 x s)))
accuracy	0.06452670913058008	(/.f32 (*.f32 x #s(literal -2 binary32)) s)
accuracy	0.07157003162065376	(expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s))
accuracy	1.5831686414688315	(/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) s)))

Samples

68.0ms	173×	0	valid
31.0ms	83×	0	exit

Compiler

Compiled 367 to 59 computations (83.9% saved)

Precisions

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

ival-div: 27.0ms (33.7% of total)

ival-mult: 25.0ms (31.2% of total)

ival-add: 10.0ms (12.5% of total)

ival-expm1: 7.0ms (8.7% of total)

const: 4.0ms (5% of total)

ival-sub: 3.0ms (3.7% of total)

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

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

exact: 1.0ms (1.2% of total)

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

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

series52.0ms (0.5%)

Memory

7.3MiB live, 82.5MiB allocated

Counts

27 → 636

Calls

Call 1

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

Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor 0 x) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) (taylor 0 x) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#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))))) (taylor 0 x) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor inf x) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor inf x) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor inf x) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor inf x) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor -inf x) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor -inf x) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor -inf x) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor -inf x) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor 0 s) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor 0 s) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor 0 s) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (/ (- (exp (neg (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)) (taylor 0 s) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor inf s) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s))) (taylor inf s) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
#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)))))) (taylor inf s) (#s(alt (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) (patch (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (expm1.f32 (/.f32 (.f32 x #s(literal -2 binary32)) s))) #<representation binary32>) () ())) ())
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#s(alt (/ x (pow s 3)) (taylor inf s) (#s(alt (/.f32 x (.f32 s (.f32 s s))) (patch (/.f32 x (.f32 s (.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ x (pow s 3)) (taylor inf s) (#s(alt (/.f32 x (.f32 s (.f32 s s))) (patch (/.f32 x (.f32 s (.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ x (pow s 3)) (taylor inf s) (#s(alt (/.f32 x (.f32 s (.f32 s s))) (patch (/.f32 x (.f32 s (.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ x (pow s 3)) (taylor inf s) (#s(alt (/.f32 x (.f32 s (.f32 s s))) (patch (/.f32 x (.f32 s (.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ x (pow s 3)) (taylor -inf s) (#s(alt (/.f32 x (.f32 s (.f32 s s))) (patch (/.f32 x (.f32 s (.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ x (pow s 3)) (taylor -inf s) (#s(alt (/.f32 x (.f32 s (.f32 s s))) (patch (/.f32 x (.f32 s (.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ x (pow s 3)) (taylor -inf s) (#s(alt (/.f32 x (.f32 s (.f32 s s))) (patch (/.f32 x (.f32 s (.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ x (pow s 3)) (taylor -inf s) (#s(alt (/.f32 x (.f32 s (.f32 s s))) (patch (/.f32 x (.f32 s (.f32 s s))) #<representation binary32>) () ())) ())

Calls

159 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/ (* (* x (* x x)) -1/6) (* s s))
3.0ms	x	@	-inf	(+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))
1.0ms	x	@	0	(+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))
1.0ms	x	@	inf	(/ (- (exp (neg (/ x s))) 1) (- (exp (/ (* x -2) s)) 1))
1.0ms	s	@	0	(/ (- (exp (neg (/ x s))) 1) (- (exp (/ (* x -2) s)) 1))

simplify360.0ms (3.7%)

Memory

3.6MiB live, 513.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 032×	`lower-fma.f64`
15 032×	`lower-fma.f32`
5 290×	`lower-*.f64`
5 290×	`lower-*.f32`
3 694×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	479	6948
1	1386	6577
2	4220	6385
0	8572	5957

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

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

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

rewrite361.0ms (3.7%)

Memory

4.1MiB live, 527.2MiB allocated

Rules

4 148×	`lower-/.f64`
4 124×	`lower-/.f32`
3 502×	`lower-*.f64`
3 490×	`lower-*.f32`
2 794×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	483
0	99	445
1	458	431
2	3657	431
0	8533	426

Stop Event

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

Counts

27 → 797

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

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

eval178.0ms (1.8%)

Memory: 14.0MiB live, 357.1MiB allocated
Compiler: Compiled 34 727 to 3 429 computations (90.1% saved)

prune381.0ms (3.9%)

Memory

3.8MiB live, 907.6MiB allocated

Pruning

40 alts after pruning (34 fresh and 6 done)

	Pruned	Kept	Total
New	1 508	19	1 527
Fresh	9	15	24
Picked	3	2	5
Done	0	4	4
Total	1 520	40	1 560

Accuracy

100.0%

Counts

1 560 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.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)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	57.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
✓	57.4%	(/.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))))
	55.1%	(/.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))))
	59.9%	(/.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))))
	43.4%	(/.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))))
	57.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
	33.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (.f32 s s) #s(literal 2 binary32)) (.f32 (.f32 s (.f32 s s)) #s(literal 1 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 (*.f32 s s) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
	33.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 s s) (.f32 (.f32 s (.f32 s s)) #s(literal 1/2 binary32))) (.f32 (.f32 s s) (.f32 s (*.f32 s s)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
	56.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s) #s(literal 2 binary32))))
	57.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* 1/2 (/ x s)) -1) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
	55.8%	(/.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))))
	59.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (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)) #s(literal 2 binary32))))
	54.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (.f32 s s)))) #s(literal 2 binary32))))
	53.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x s) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
	53.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s (.f32 s s)))) #s(literal 2 binary32))))
	31.8%	(/.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)))))
	60.6%	(/.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))))
✓	44.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	44.4%	(/.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)))))
	57.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
	55.4%	(/.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 x) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) s))))
	19.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
▶	54.6%	(/.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 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 s s)))))
	33.6%	(/.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)))))
	33.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s (*.f32 s s))))))
▶	33.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.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))))))))
▶	62.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
▶	24.3%	#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)))
	13.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) 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)))
	20.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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))))))
✓	32.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
	30.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal -1/2 binary32))))
	30.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)))))
	32.2%	#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)))
▶	6.9%	#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))))
✓	37.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
	41.7%	#s(approx (* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (-.f32 (exp.f32 (*.f32 x (/.f32 #s(literal -2 binary32) s))) #s(literal 1 binary32))))
✓	62.3%	#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 1 497 to 884 computations (40.9% saved)

simplify254.0ms (2.6%)

Memory

-3.1MiB live, 518.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.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))))))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.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)))))))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.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))))))))
cost-diff	544	(.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)))))
cost-diff	0	(/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.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 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.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 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.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 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 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	(*.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
cost-diff	352	(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)))
cost-diff	2880	(pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))
cost-diff	7552	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))

Rules

15 948×	`lower-fma.f64`
15 940×	`lower-fma.f32`
4 192×	`lower-*.f64`
4 172×	`lower-*.f32`
1 540×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	604
0	111	588
1	232	558
2	540	558
3	1228	544
4	2644	544
5	5987	544
0	8240	519

Stop Event

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

Calls

Call 1

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

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

localize293.0ms (3%)

Memory

-13.8MiB live, 617.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.975835001956473	(+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s))))
accuracy	8.924833266328545	#s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.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))))))
accuracy	9.542237972417302	(.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)))))
accuracy	12.196495130552908	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.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)))))))
accuracy	0.0390625	(/.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 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 s s)))))
accuracy	0.046875	(fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
accuracy	3.7644901984521746	(/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 s s))
accuracy	11.75114339980239	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 s s))))
accuracy	0.0546875	(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	0.21140118304999495	(/.f32 #s(literal -1/48 binary32) (*.f32 s s))
accuracy	4.134694877094176	(fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32))
accuracy	12.184427803108761	#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	0	(/.f32 x s)
accuracy	0.09229553341908864	(*.f32 #s(literal 1/4 binary32) (/.f32 x s))
accuracy	9.395045449801792	#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))
accuracy	11.670552519111446	#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	0.06079000946961356	(expm1.f32 (/.f32 (neg.f32 x) s))
accuracy	0.06079000946961356	(expm1.f32 (/.f32 x (neg.f32 s)))
accuracy	0.06640625	(pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))
accuracy	1.6261373914688315	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))

Samples

113.0ms	173×	0	valid
102.0ms	83×	0	exit

Compiler

Compiled 393 to 62 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-div: 79.0ms (42.8% of total)

ival-expm1: 38.0ms (20.6% of total)

ival-mult: 32.0ms (17.3% of total)

ival-add: 17.0ms (9.2% of total)

const: 7.0ms (3.8% of total)

ival-pow: 5.0ms (2.7% of total)

ival-exp: 4.0ms (2.2% of total)

ival-neg: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series54.0ms (0.6%)

Memory

8.2MiB live, 126.2MiB allocated

Counts

24 → 564

Calls

Call 1

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

Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor 0 x) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) (taylor 0 x) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#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))))) (taylor 0 x) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor inf s) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor inf s) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) (taylor inf s) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#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)))))) (taylor inf s) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor -inf s) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor -inf s) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) (taylor -inf s) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#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))) (taylor -inf s) (#s(alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ s x)) (taylor 0 x) (#s(alt (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)) (patch (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1 s) (* -1/2 x)) x) (taylor 0 x) (#s(alt (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)) (patch (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1 s) (* x (- (* -1/12 (/ x s)) 1/2))) x) (taylor 0 x) (#s(alt (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)) (patch (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2)) (taylor inf s) (#s(alt (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s)))) (patch (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 (* (pow s 2) x)) (taylor -inf s) (#s(alt (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s)))) (patch (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2)) (taylor -inf s) (#s(alt (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s)))) (patch (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2)) (taylor -inf s) (#s(alt (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s)))) (patch (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2)) (taylor -inf s) (#s(alt (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s)))) (patch (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s)))) #<representation binary32>) () ())) ())

Calls

141 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(+ (* (/ x s) (+ (* (* x x) (/ -1/48 (* s s))) 1/4)) 1/2)
1.0ms	x	@	0	(* (/ 1 (+ 1 (exp (/ x (neg s))))) (pow (- (exp (/ x (neg s))) 1) -1))
1.0ms	x	@	inf	(* (/ 1 (+ 1 (exp (/ x (neg s))))) (pow (- (exp (/ x (neg s))) 1) -1))
1.0ms	x	@	-inf	(* (/ 1 (+ 1 (exp (/ x (neg s))))) (pow (- (exp (/ x (neg s))) 1) -1))
1.0ms	s	@	inf	(* (/ 1 (+ 1 (exp (/ x (neg s))))) (pow (- (exp (/ x (neg s))) 1) -1))

simplify307.0ms (3.2%)

Memory

21.8MiB live, 664.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 572×	`lower-fma.f64`
12 572×	`lower-fma.f32`
6 340×	`lower-*.f64`
6 340×	`lower-*.f32`
4 012×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	482	6372
1	1424	5988
2	4624	5806
0	8880	5473

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

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)))
(* -1 (/ s x))
(/ (+ (* -1 s) (* -1/2 x)) x)
(/ (+ (* -1 s) (* x (- (* -1/12 (/ x s)) 1/2))) x)
(/ (+ (* -1 s) (* x (- (* x (- (* 1/720 (/ (pow x 2) (pow s 3))) (* 1/12 (/ 1 s)))) 1/2))) x)
(/ 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))
(* -1 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* s (- (* -1 (/ (+ (* -1/6 x) (* 1/4 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* s (- (* -1 (/ (+ (* -1/12 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/2 (* x (+ (* -1/6 x) (* 1/4 x)))))) (pow s 3))) (+ (* -1/6 (/ x (pow s 2))) (+ (* 1/4 (/ x (pow s 2))) (+ (* 1/2 (/ 1 s)) (/ 1 x))))))
(* -1 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (/ 1 x))))
(* -1 (* s (+ (* -1 (/ (- (+ (* -1/4 (/ x s)) (* 1/6 (/ x s))) 1/2) s)) (/ 1 x))))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 x) (* 1/6 x))) s)) (+ (* -1/12 (/ (pow x 2) s)) (* 1/24 (/ (pow x 2) s)))) (+ (* -1/4 x) (* 1/6 x))) s)) 1/2) s)) (/ 1 x))))
(* -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 (* (+ 1 (exp (* -1 (/ x s)))) (- (exp (* -1 (/ x s))) 1)))
(/ 1 (* (+ 1 (exp (* -1 (/ x s)))) (- (exp (* -1 (/ x s))) 1)))
(/ 1 (* (+ 1 (exp (* -1 (/ x s)))) (- (exp (* -1 (/ x s))) 1)))
(/ 1 (* (+ 1 (exp (* -1 (/ x s)))) (- (exp (* -1 (/ x s))) 1)))
(/ 1 (* (+ 1 (exp (* -1 (/ x s)))) (- (exp (* -1 (/ x s))) 1)))
(/ 1 (* (+ 1 (exp (* -1 (/ x s)))) (- (exp (* -1 (/ x s))) 1)))
(/ 1 (* (+ 1 (exp (* -1 (/ x s)))) (- (exp (* -1 (/ x s))) 1)))
(/ 1 (* (+ 1 (exp (* -1 (/ x s)))) (- (exp (* -1 (/ x s))) 1)))
(/ 1 (* (+ 1 (exp (* -1 (/ x s)))) (- (exp (* -1 (/ x s))) 1)))
(/ 1 (* (+ 1 (exp (* -1 (/ x s)))) (- (exp (* -1 (/ x s))) 1)))
(/ 1 (* (+ 1 (exp (* -1 (/ x s)))) (- (exp (* -1 (/ x s))) 1)))
(/ 1 (* (+ 1 (exp (* -1 (/ x s)))) (- (exp (* -1 (/ x s))) 1)))
(* -1/2 (/ s x))
(* -1 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* 1/4 (/ (+ (* -1 (pow x 3)) (* -1/3 (pow x 3))) (pow x 2))) (* 1/2 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* s (- (* -1 (/ (+ (* 1/4 (/ (+ (* -1 (pow x 3)) (* -1/3 (pow x 3))) x)) (+ (* 1/4 (/ (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow x 2))) (* x (+ (* 1/4 (/ (+ (* -1 (pow x 3)) (* -1/3 (pow x 3))) (pow x 2))) (* 1/2 x))))) (pow s 3))) (+ (* 1/4 (/ (+ (* -1 (pow x 3)) (* -1/3 (pow x 3))) (* (pow s 2) (pow x 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)) (* 1/4 (/ (+ (* 1/3 (pow x 3)) (pow x 3)) (* s (pow x 2))))) 1/2) s)) (* 1/2 (/ 1 x)))))
(* -1 (* s (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/2 x) (* 1/4 (/ (+ (* 1/3 (pow x 3)) (pow x 3)) (pow x 2))))) s)) (+ (* -1/4 (/ (+ (* 1/3 (pow x 3)) (pow x 3)) (* s x))) (* 1/4 (/ (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) (* s (pow x 2)))))) (+ (* -1/2 x) (* 1/4 (/ (+ (* 1/3 (pow x 3)) (pow x 3)) (pow x 2))))) s)) 1/2) s)) (* 1/2 (/ 1 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)))
1/2
(+ 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)))
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))))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (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)))))
(/ 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 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)))
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)))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 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) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -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)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 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)))))
(/ 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 (- (* 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 (+ (* -1 x) (* 2 s)))))) (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 (+ (* 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 (/ 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))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(/ -1/48 (pow s 2))
(* 1/2 (pow x 2))
(+ (* -1 (* s x)) (* 1/2 (pow x 2)))
(+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s))))
(+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s))))
(* 2 (pow s 2))
(* (pow s 2) (+ 2 (* -1 (/ x s))))
(* (pow s 2) (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s)))
(* (pow s 2) (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s)))
(* 2 (pow s 2))
(* (pow s 2) (+ 2 (* -1 (/ x s))))
(* (pow s 2) (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
(* (pow s 2) (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))
(* 2 (pow s 2))
(+ (* -1 (* s x)) (* 2 (pow s 2)))
(+ (* 2 (pow s 2)) (* x (+ (* -1 s) (* 1/2 x))))
(+ (* 2 (pow s 2)) (* x (+ (* -1 s) (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ s x)) (* 2 (/ (pow s 2) (pow x 2))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ s x)) (* 2 (/ (pow s 2) (pow x 2))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1 (/ s x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ s (* -2 (/ (pow s 2) x))) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ s (* -2 (/ (pow s 2) x))) x))))
(/ 1/2 (* (pow s 2) x))
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2)))) x)
(/ -1/6 (pow s 3))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/ -1/6 (pow s 3))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))
(/ -1/6 (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ (- (* 1/2 (/ s x)) 1/6) (pow s 3))
(/ 1/2 (* (pow s 2) x))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ 1/2 (* (pow s 2) x))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))
(/ (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))) (pow s 2))

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

rewrite297.0ms (3.1%)

Memory

-26.6MiB live, 572.6MiB allocated

Rules

4 438×	`lower-*.f64`
4 418×	`lower-*.f32`
3 330×	`lower-fma.f64`
3 322×	`lower-fma.f32`
3 246×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	496
0	111	486
1	503	452
2	4081	449
0	8260	422

Stop Event

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

Counts

24 → 479

Calls

Call 1

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

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

eval94.0ms (1%)

Memory: 29.4MiB live, 340.7MiB allocated
Compiler: Compiled 25 461 to 1 949 computations (92.3% saved)

prune195.0ms (2%)

Memory

-12.6MiB live, 229.9MiB allocated

Pruning

46 alts after pruning (37 fresh and 9 done)

	Pruned	Kept	Total
New	1 077	10	1 087
Fresh	2	27	29
Picked	2	3	5
Done	0	6	6
Total	1 081	46	1 127

Accuracy

100.0%

Counts

1 127 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.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)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	57.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
✓	57.4%	(/.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))))
	55.1%	(/.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))))
	59.9%	(/.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))))
	43.4%	(/.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))))
	57.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
	33.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (.f32 s s) #s(literal 2 binary32)) (.f32 (.f32 s (.f32 s s)) #s(literal 1 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 (*.f32 s s) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
	56.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s) #s(literal 2 binary32))))
	57.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* 1/2 (/ x s)) -1) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
	55.8%	(/.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))))
	59.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (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)) #s(literal 2 binary32))))
	54.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (.f32 s s)))) #s(literal 2 binary32))))
	53.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x s) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
	53.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s (.f32 s s)))) #s(literal 2 binary32))))
	31.8%	(/.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)))))
	60.6%	(/.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))))
✓	44.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	44.4%	(/.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)))))
	57.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
	55.4%	(/.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 x) (/.f32 #s(literal -1/6 binary32) (.f32 s s))))) s))))
	19.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
✓	54.6%	(/.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 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.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 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s))) (.f32 s s)))))
	33.6%	(/.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)))))
	27.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 #s(approx (+ (* s (+ (* s 2) (neg x))) (* 1/2 (* x x))) (.f32 s (.f32 s #s(literal 2 binary32)))) (*.f32 s s)))))
	35.8%	(/.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 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s)))))))
	33.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) (.f32 s (*.f32 s s))))))
	20.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.f32 (.f32 x (.f32 x x)) (/.f32 (fma.f32 x (.f32 (.f32 s s) #s(literal -1/6 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 s (.f32 s s)))) (.f32 x (.f32 (.f32 s s) (.f32 s (*.f32 s s)))))))))
	34.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.f32 (.f32 x (.f32 x x)) #s(approx (+ (/ 1/2 ( x (* s s))) (/ -1/6 (* s (* s s)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s))))))))
	37.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) #s(approx (* (* x (* x x)) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))) (.f32 x (.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))))
	62.1%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (/.f32 (expm1.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 2 binary32))) (-.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal -1 binary32))))
	62.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 x s))))) (expm1.f32 (/.f32 (neg.f32 x) s)))
✓	24.3%	#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)))
	24.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
	24.7%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (fma.f32 x (.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
	13.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) 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)))
✓	32.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
	30.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal -1/2 binary32))))
	30.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)))))
	32.2%	#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)))
✓	6.9%	#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))))
✓	37.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
	41.7%	#s(approx (* (/ 1 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (-.f32 (exp.f32 (*.f32 x (/.f32 #s(literal -2 binary32) s))) #s(literal 1 binary32))))
✓	62.3%	#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 2 084 to 819 computations (60.7% saved)

regimes124.0ms (1.3%)

Memory

11.3MiB live, 200.4MiB allocated

Counts

64 → 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 (/.f32 #s(literal 1 binary32) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #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 x (.f32 #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 #s(approx (+ (* s (+ (* s 2) (neg x))) (* 1/2 (* x x))) (.f32 s (.f32 s #s(literal 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 (.f32 x (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))) (fma.f32 x #s(approx (/ (+ (* 1/2 (/ x s)) -1) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) #s(literal 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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ 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))) (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))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.f32 (.f32 x (.f32 x x)) #s(approx (+ (/ 1/2 ( x (* s s))) (/ -1/6 (* s (* 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 (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (/.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) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s (.f32 s s)))) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (fma.f32 x (.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.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))) (fma.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 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 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 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 (/.f32 x s) (fma.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) (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))) (+.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 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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))))))
(/.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))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x s) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (fma.f32 (/.f32 x 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 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (.f32 s 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 (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))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) #s(approx (* (* x (* x x)) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))) (.f32 x (.f32 x (fma.f32 x (/.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(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 #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (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)) #s(literal 2 binary32))))
(/.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))) #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 (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.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))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 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 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))))
(/.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))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.f32 (.f32 x (.f32 x x)) (/.f32 (fma.f32 x (.f32 (.f32 s s) #s(literal -1/6 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 s (.f32 s s)))) (.f32 x (.f32 (.f32 s s) (.f32 s (*.f32 s s)))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 s s) (.f32 (.f32 s (.f32 s s)) #s(literal 1/2 binary32))) (.f32 (.f32 s s) (.f32 s (*.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))) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (.f32 s s) #s(literal 2 binary32)) (.f32 (.f32 s (.f32 s s)) #s(literal 1 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 (*.f32 s s) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) 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)))
#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 (- (exp (/ (- (neg x) x) s)) 1)) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (neg.f32 (/.f32 x s))) (-.f32 (exp.f32 (*.f32 x (/.f32 #s(literal -2 binary32) s))) #s(literal 1 binary32))))
(*.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) (exp.f32 (/.f32 (neg.f32 x) s))) (-.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 x (neg.f32 s))))) (/.f32 #s(literal 1 binary32) (expm1.f32 (neg.f32 (/.f32 x s))))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (pow.f32 (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal -1 binary32))) (/.f32 (expm1.f32 (*.f32 (neg.f32 (/.f32 x s)) #s(literal 2 binary32))) (-.f32 (exp.f32 (neg.f32 (/.f32 x s))) #s(literal -1 binary32))))

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

Calls

7 calls:

19.0ms	(/.f32 (neg.f32 x) s)
19.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
19.0ms	x
18.0ms	(neg.f32 x)
17.0ms	s

Results

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes169.0ms (1.7%)

Memory

10.1MiB live, 170.7MiB allocated

Counts

54 → 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 (/.f32 #s(literal 1 binary32) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #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 x (.f32 #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 #s(approx (+ (* s (+ (* s 2) (neg x))) (* 1/2 (* x x))) (.f32 s (.f32 s #s(literal 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 (.f32 x (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))) (fma.f32 x #s(approx (/ (+ (* 1/2 (/ x s)) -1) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) #s(literal 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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ 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))) (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))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.f32 (.f32 x (.f32 x x)) #s(approx (+ (/ 1/2 ( x (* s s))) (/ -1/6 (* s (* 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 (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (/.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) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s (.f32 s s)))) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (fma.f32 x (.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.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))) (fma.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 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 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 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 (/.f32 x s) (fma.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) (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))) (+.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 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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))))))
(/.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))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x s) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (fma.f32 (/.f32 x 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 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (.f32 s 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 (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))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) #s(approx (* (* x (* x x)) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))) (.f32 x (.f32 x (fma.f32 x (/.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(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 #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (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)) #s(literal 2 binary32))))
(/.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))) #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 (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.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))))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 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 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))))
(/.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))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.f32 (.f32 x (.f32 x x)) (/.f32 (fma.f32 x (.f32 (.f32 s s) #s(literal -1/6 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 s (.f32 s s)))) (.f32 x (.f32 (.f32 s s) (.f32 s (*.f32 s s)))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 s s) (.f32 (.f32 s (.f32 s s)) #s(literal 1/2 binary32))) (.f32 (.f32 s s) (.f32 s (*.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))) (fma.f32 x (fma.f32 x (/.f32 (fma.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (.f32 s s) #s(literal 2 binary32)) (.f32 (.f32 s (.f32 s s)) #s(literal 1 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 (*.f32 s s) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.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))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) #s(approx (* (* x (* x x)) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))) (*.f32 x (*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))))

Calls

7 calls:

53.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
43.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
16.0ms	(/.f32 (neg.f32 x) s)
15.0ms	x
14.0ms	s

Results

Accuracy	Segments	Branch
69.0%	2	`x`
60.6%	1	`s`
69.9%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
69.9%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
69.9%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
69.9%	2	`(/.f32 (neg.f32 x) s)`
69.0%	2	`(neg.f32 x)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes69.0ms (0.7%)

Memory

16.2MiB live, 129.8MiB allocated

Counts

40 → 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 (/.f32 #s(literal 1 binary32) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #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 x (.f32 #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 #s(approx (+ (* s (+ (* s 2) (neg x))) (* 1/2 (* x x))) (.f32 s (.f32 s #s(literal 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 (.f32 x (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))) (fma.f32 x #s(approx (/ (+ (* 1/2 (/ x s)) -1) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) #s(literal 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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ 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))) (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))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.f32 (.f32 x (.f32 x x)) #s(approx (+ (/ 1/2 ( x (* s s))) (/ -1/6 (* s (* 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 (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (/.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) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s (.f32 s s)))) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (fma.f32 x (.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.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))) (fma.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 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 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 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 (/.f32 x s) (fma.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) (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))) (+.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 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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))))))
(/.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))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x s) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (fma.f32 (/.f32 x 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 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (.f32 s 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 (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))))))

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

Calls

6 calls:

15.0ms	(neg.f32 x)
14.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
11.0ms	(/.f32 (neg.f32 x) s)
10.0ms	x
9.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
67.9%	2	`x`
67.9%	2	`(neg.f32 x)`
67.9%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
67.9%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
67.9%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
67.9%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes40.0ms (0.4%)

Memory

4.9MiB live, 75.6MiB allocated

Counts

38 → 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 (/.f32 #s(literal 1 binary32) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #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 x (.f32 #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 #s(approx (+ (* s (+ (* s 2) (neg x))) (* 1/2 (* x x))) (.f32 s (.f32 s #s(literal 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 (.f32 x (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))) (fma.f32 x #s(approx (/ (+ (* 1/2 (/ x s)) -1) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) #s(literal 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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ 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))) (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))) #s(approx (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.f32 (.f32 x (.f32 x x)) #s(approx (+ (/ 1/2 ( x (* s s))) (/ -1/6 (* s (* 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 (+ (* x (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (/.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) (/.f32 #s(approx (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s (.f32 s s)))) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 x (fma.f32 x (.f32 x (/.f32 #s(literal -1/48 binary32) (*.f32 s s))) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x (*.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))) (fma.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 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 (*.f32 x (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 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 (/.f32 x s) (fma.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (fma.f32 s (fma.f32 s #s(literal 2 binary32) (neg.f32 x)) (.f32 #s(literal 1/2 binary32) (.f32 x x))) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) (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))) (+.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 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))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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))))))
(/.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))) (fma.f32 x #s(approx (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x s) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s)))) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal -1/2 binary32))))

Outputs

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

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

Calls

3 calls:

14.0ms	x
10.0ms	(neg.f32 x)
10.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
67.9%	2	`(/.f32 (neg.f32 x) s)`
67.5%	2	`x`
67.5%	2	`(neg.f32 x)`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes20.0ms (0.2%)

Memory

-42.7MiB live, 16.9MiB allocated

Counts

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

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

Calls

1 calls:

18.0ms

(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
67.9%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes43.0ms (0.4%)

Memory

21.0MiB live, 94.9MiB allocated

Counts

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

Calls

6 calls:

8.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
8.0ms	(neg.f32 x)
7.0ms	x
7.0ms	(/.f32 (neg.f32 x) s)
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
69.2%	3	`x`
69.2%	3	`(neg.f32 x)`
66.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
66.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
66.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
66.8%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes38.0ms (0.4%)

Memory

-4.9MiB live, 77.1MiB allocated

Counts

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

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 (* 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))))))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
68.8%	3	`x`
68.8%	3	`(neg.f32 x)`
66.0%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
66.0%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
66.0%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
66.0%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes22.0ms (0.2%)

Memory

12.7MiB live, 49.7MiB allocated

Counts

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

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

4 calls:

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

Results

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes32.0ms (0.3%)

Memory

-2.1MiB live, 72.4MiB 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 (/.f32 #s(literal 1 binary32) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #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 x (.f32 #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 #s(approx (+ (* s (+ (* s 2) (neg x))) (* 1/2 (* x x))) (.f32 s (.f32 s #s(literal 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 (.f32 x (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))) (fma.f32 x #s(approx (/ (+ (* 1/2 (/ x s)) -1) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) #s(literal 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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* 1/2 (/ x s)) -1) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x 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 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))

Calls

6 calls:

7.0ms	(neg.f32 x)
6.0ms	(/.f32 (neg.f32 x) s)
5.0ms	x
4.0ms	(+.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
65.7%	2	`x`
65.7%	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)

regimes60.0ms (0.6%)

Memory

7.5MiB live, 46.6MiB 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 (/.f32 #s(literal 1 binary32) s) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #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 x (.f32 #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 #s(approx (+ (* s (+ (* s 2) (neg x))) (* 1/2 (* x x))) (.f32 s (.f32 s #s(literal 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 (.f32 x (fma.f32 #s(literal 1/2 binary32) x (neg.f32 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))) (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

6 calls:

39.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms	(neg.f32 x)
4.0ms	x
4.0ms	(/.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
65.1%	2	`x`
65.1%	2	`(neg.f32 x)`
65.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
65.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
65.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
65.6%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes37.0ms (0.4%)

Memory

-10.9MiB live, 26.7MiB allocated

Counts

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

Calls

4 calls:

26.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
4.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
3.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
65.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
65.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
65.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
65.6%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes26.0ms (0.3%)

Memory

-4.8MiB live, 64.9MiB allocated

Counts

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

Calls

7 calls:

7.0ms	s
5.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
3.0ms	(neg.f32 x)
3.0ms	x
3.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
44.4%	1	`s`
51.1%	2	`x`
51.1%	2	`(neg.f32 x)`
51.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
51.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
51.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
51.7%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes10.0ms (0.1%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

7 → 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 (/.f32 #s(literal 1 binary32) s) x #s(literal 2 binary32))))

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

Calls

4 calls:

3.0ms	(/.f32 (neg.f32 x) s)
2.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms	(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
51.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
51.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
51.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
51.7%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes18.0ms (0.2%)

Memory

-9.4MiB live, 34.0MiB 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:

8.0ms	(/.f32 (neg.f32 x) s)
2.0ms	x
2.0ms	(neg.f32 x)
2.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
50.1%	2	`x`
50.1%	2	`(neg.f32 x)`
50.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
50.2%	2	`(/.f32 (neg.f32 x) s)`
50.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
50.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes15.0ms (0.2%)

Memory

-3.8MiB live, 34.8MiB allocated

Accuracy

Total -9.7b remaining (-48%)

Threshold costs -9.7b (-48%)

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:

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

Results

Accuracy	Segments	Branch
37.1%	1	`s`
37.1%	1	`x`
37.1%	1	`(neg.f32 x)`
37.1%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
37.1%	1	`(/.f32 (neg.f32 x) s)`
37.1%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
37.1%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`

Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	42.17816925048828	60.22151184082031

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.862226229963643e-24	4.207834871091173e-23

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	365.76751708984375	3427.030029296875

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	365.76751708984375	3427.030029296875

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	3427.030029296875	13853.4921875

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	3427.030029296875	13853.4921875

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	-6.424959659576416	-0.41950082778930664

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	0.15743206441402435	0.18834027647972107

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	8.924273490905762	14.914451599121094

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	8.924273490905762	14.914451599121094

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	-6.424959659576416	-0.41950082778930664

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	0.00162059860303998	0.6573748588562012

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	5.702822208404541	7512.12353515625

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify18.0ms (0.2%)

Memory

-3.2MiB live, 33.8MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary32`
16×	`sub-neg_binary32`
16×	`+-commutative_binary32`
12×	`neg-sub0_binary32`
12×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	760
1	189	760
2	203	760
3	214	760
4	221	760
5	222	760

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 50 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 (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) #s(approx (* (* x (* x x)) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))) (.f32 x (.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))))
(if (<=.f32 (neg.f32 x) #s(literal 6338253/633825300114114700748351602688 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 (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 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 (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x s) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 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 (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s (.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5000 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 (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.f32 (.f32 x (.f32 x x)) #s(approx (+ (/ 1/2 ( x (* s s))) (/ -1/6 (* s (* s s)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s)))))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5000 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 (* 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)))))))
(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 5368709/33554432 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 (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 10 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 10 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 #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))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/4294967296 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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 10 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))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 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 (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) #s(approx (* (* x (* x x)) (+ (/ 1/2 (* x (* s s))) (/ -1/6 (* s (* s s))))) (.f32 x (.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))))))
(if (<=.f32 (neg.f32 x) #s(literal 6338253/633825300114114700748351602688 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 (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 s (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 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 (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x s) (.f32 x (.f32 x #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 500 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 (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 s (.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5000 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 (+ (* x (+ (* -1/6 (/ x (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 2) (.f32 (.f32 x (.f32 x x)) #s(approx (+ (/ 1/2 ( x (* s s))) (/ -1/6 (* s (* s s)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s)))))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5000 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 (* 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)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5000 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 (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.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 (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 5368709/33554432 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 (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 10 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 10 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 10 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 #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))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))))
(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 #s(literal -1 binary32) (/.f32 s x))))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 8589935/4294967296 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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 10 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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 10 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 (neg.f32 x) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

soundness2.0s (20.7%)

Memory

5.0MiB live, 1 266.7MiB allocated

Rules

40 054×	`lower-fma.f64`
40 054×	`lower-fma.f32`
15 032×	`lower-fma.f64`
15 032×	`lower-fma.f32`
14 504×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	482	6372
1	1424	5988
2	4624	5806
0	8880	5473
0	475	5038
1	1440	4758
2	4697	4625
0	8791	4315
0	479	6948
1	1386	6577
2	4220	6385
0	8572	5957
0	140	758
1	378	748
2	1147	742
3	3893	722
0	8438	682
0	40	280
0	69	266
1	284	257
2	2366	257
0	8700	257

Stop Event

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

Compiler

Compiled 555 to 277 computations (50.1% saved)

preprocess153.0ms (1.6%)

Memory: -12.6MiB live, 240.2MiB allocated
Compiler: Compiled 696 to 208 computations (70.1% 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	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

start0.0ms (0%)

analyze53.0ms (0.6%)

sample977.0ms (10.1%)

explain89.0ms (0.9%)

preprocess30.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize23.0ms (0.2%)

series10.0ms (0.1%)

simplify400.0ms (4.1%)

rewrite282.0ms (2.9%)

eval113.0ms (1.2%)

prune132.0ms (1.4%)

simplify189.0ms (2%)

localize100.0ms (1%)

series51.0ms (0.5%)

simplify375.0ms (3.9%)

rewrite277.0ms (2.9%)

eval183.0ms (1.9%)

prune204.0ms (2.1%)

simplify306.0ms (3.2%)

localize157.0ms (1.6%)

series52.0ms (0.5%)

simplify360.0ms (3.7%)

rewrite361.0ms (3.7%)

eval178.0ms (1.8%)

prune381.0ms (3.9%)

simplify254.0ms (2.6%)

localize293.0ms (3%)

series54.0ms (0.6%)

simplify307.0ms (3.2%)

rewrite297.0ms (3.1%)

eval94.0ms (1%)

prune195.0ms (2%)

regimes124.0ms (1.3%)

regimes169.0ms (1.7%)

regimes69.0ms (0.7%)

regimes40.0ms (0.4%)

regimes20.0ms (0.2%)

regimes43.0ms (0.4%)

regimes38.0ms (0.4%)

regimes22.0ms (0.2%)

regimes32.0ms (0.3%)

regimes60.0ms (0.6%)

regimes37.0ms (0.4%)

regimes26.0ms (0.3%)

regimes10.0ms (0.1%)

regimes18.0ms (0.2%)

regimes15.0ms (0.2%)

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%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify18.0ms (0.2%)

soundness2.0s (20.7%)

preprocess153.0ms (1.6%)

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