Metrics for Logistic function

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze40.0ms (0.4%)

Memory

-4.8MiB live, 75.7MiB 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)

sample998.0ms (10.2%)

Memory

47.9MiB live, 2 052.7MiB allocated

Samples

719.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 482.0ms

ival-div: 134.0ms (27.8% of total)

const: 123.0ms (25.5% of total)

ival-exp: 66.0ms (13.7% of total)

ival-<=: 50.0ms (10.4% of total)

ival-add: 44.0ms (9.1% of total)

ival-neg: 39.0ms (8.1% of total)

ival-and: 12.0ms (2.5% of total)

exact: 11.0ms (2.3% of total)

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

Bogosity

explain97.0ms (1%)

Memory

-5.0MiB live, 308.8MiB 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)))`
1	(1.3903187490171831e-9 8.637334771022243e-12)	-	`(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	1	0

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

36.0ms

512×

valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 11.0ms (47.8% of total)

ival-neg: 5.0ms (21.7% of total)

ival-exp: 4.0ms (17.4% of total)

ival-add: 2.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess31.0ms (0.3%)

Memory

30.9MiB live, 69.2MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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

-12.5MiB live, 26.0MiB 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

localize28.0ms (0.3%)

Memory

-2.2MiB live, 77.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f32 x)
accuracy	0.0234375	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.029628759768442016	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.05859375	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Samples

19.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

ival-exp: 5.0ms (43.6% of total)

ival-div: 3.0ms (26.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

2.8MiB live, 36.4MiB 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
5.0ms	x	@	0	(exp (/ (neg x) s))
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	@	inf	(/ 1 (+ 1 (exp (/ (neg x) s))))

simplify428.0ms (4.4%)

Memory

-11.9MiB live, 968.4MiB 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)

rewrite328.0ms (3.3%)

Memory

12.1MiB live, 611.5MiB 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)))

eval109.0ms (1.1%)

Memory: -8.0MiB live, 145.4MiB allocated
Compiler: Compiled 21 187 to 2 699 computations (87.3% saved)

prune131.0ms (1.3%)

Memory

17.0MiB live, 253.2MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	806	12	818
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	806	13	819

Accuracy

100.0%

Counts

819 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.0%	(/.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))))
	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶	56.7%	(/.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))))
	58.1%	(/.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))))
▶	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	57.6%	(/.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))))
	48.3%	(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal -1 binary32)))
	61.5%	(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
▶	99.9%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
	20.6%	#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)))
	27.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
▶	32.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 417 to 262 computations (37.2% saved)

simplify238.0ms (2.4%)

Memory

-8.4MiB live, 237.7MiB 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	(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff	0	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
cost-diff	0	(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
cost-diff	6016	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

Rules

10 584×	`lower-fma.f64`
10 578×	`lower-fma.f32`
2 402×	`lower-*.f64`
2 396×	`lower-*.f32`
1 358×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	330
0	64	312
1	105	311
2	184	311
3	294	304
4	468	304
5	754	304
6	1571	304
7	3481	304
8	5116	304
9	6915	304
10	7978	304
0	8034	289

Stop Event

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

Calls

Call 1

Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 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
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 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))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #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)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #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 x (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 2 binary32))
(/.f32 x s)
x
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)
#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 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #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))) (+.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 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) 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 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) 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 x (/.f32 (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) #s(literal -1 binary32)) 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 x (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) 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 x (.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #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 (/.f32 x s) #s(literal -1/6 binary32) #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))
(.f32 x (.f32 x #s(literal 1/2 binary32)))
#s(literal 1/2 binary32)

localize154.0ms (1.6%)

Memory

-7.3MiB live, 181.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.6455972056473755	(/.f32 (.f32 x (.f32 x x)) s)
accuracy	2.6875485034600635	(/.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	3.690800657187528	(fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
accuracy	12.735629115714632	#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	0.017910009768442016	(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
accuracy	0.05859375	(/.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	0.08203125	(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
accuracy	12.11256204142459	#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	0.017910009768442016	(-.f32 #s(literal 2 binary32) (/.f32 x s))
accuracy	0.05859375	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
accuracy	13.045510553274106	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
accuracy	10.469855825419891	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy	0	(neg.f32 x)
accuracy	0.015625	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
accuracy	0.029628759768442016	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.4970122779886602	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))

Samples

64.0ms	162×	0	valid
29.0ms	94×	1	exit

Compiler

Compiled 262 to 33 computations (87.4% saved)

Precisions

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

ival-div: 38.0ms (50.6% of total)

ival-mult: 8.0ms (10.6% of total)

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

adjust: 6.0ms (8% of total)

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

const: 4.0ms (5.3% of total)

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

ival-log1p: 2.0ms (2.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series140.0ms (1.4%)

Memory

39.4MiB live, 185.3MiB allocated

Counts

21 → 492

Calls

Call 1

Inputs
#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())
#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())
#s(alt (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (patch (log1p.f32 (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 #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 (neg.f32 x) (patch (neg.f32 x) #<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 (exp (neg (log 2))) (taylor 0 x) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s))) (taylor 0 x) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s))))) (taylor 0 x) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5)))))))) (taylor 0 x) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) (taylor inf x) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) (taylor inf x) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) (taylor inf x) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) (taylor inf x) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) (taylor -inf x) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) (taylor -inf x) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) (taylor -inf x) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) (taylor -inf x) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) (taylor 0 s) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) (taylor 0 s) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) (taylor 0 s) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) (taylor 0 s) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (exp (neg (log 2))) (taylor inf s) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s))) (taylor inf s) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)))) (taylor inf s) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3))))) (taylor inf s) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (exp (neg (log 2))) (taylor -inf s) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s))) (taylor -inf s) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))) (taylor -inf s) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))) (taylor -inf s) (#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log 2)) (taylor 0 x) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (* 1/2 (/ x s)) (log 2)) (taylor 0 x) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2)) (taylor 0 x) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2)) (taylor 0 x) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (+ 1 (exp (* -1 (/ x s)))))) (taylor inf x) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (+ 1 (exp (* -1 (/ x s)))))) (taylor inf x) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (+ 1 (exp (* -1 (/ x s)))))) (taylor inf x) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (+ 1 (exp (* -1 (/ x s)))))) (taylor inf x) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (+ 1 (exp (* -1 (/ x s)))))) (taylor -inf x) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (+ 1 (exp (* -1 (/ x s)))))) (taylor -inf x) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (+ 1 (exp (* -1 (/ x s)))))) (taylor -inf x) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (+ 1 (exp (* -1 (/ x s)))))) (taylor -inf x) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log 2)) (taylor inf s) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (* 1/2 (/ x s)) (log 2)) (taylor inf s) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s)))) (taylor inf s) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))) (taylor inf s) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log 2)) (taylor -inf s) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (* 1/2 (/ x s)) (log 2)) (taylor -inf s) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2)) (taylor -inf s) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2)) (taylor -inf s) (#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (log 2) (taylor 0 x) (#s(alt (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (patch (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ (log 2) (* -1/2 (/ x s))) (taylor 0 x) (#s(alt (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (patch (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))) (taylor 0 x) (#s(alt (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (patch (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))) (taylor 0 x) (#s(alt (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (patch (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (patch (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (patch (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (patch (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (patch (log1p.f32 (exp.f32 (/.f32 (neg.f32 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 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

123 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
25.0ms	x	@	-inf	(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
24.0ms	s	@	0	(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
24.0ms	s	@	-inf	(+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x)))
3.0ms	x	@	0	(exp (neg (log (+ 1 (exp (/ (neg x) s))))))

simplify341.0ms (3.5%)

Memory

-16.0MiB live, 436.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 752×	`lower-fma.f64`
12 752×	`lower-fma.f32`
5 878×	`lower-*.f64`
5 878×	`lower-*.f32`
3 168×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	427	5335
1	1282	4537
2	4554	4471
0	8808	4150

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(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)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(* -1 (/ x s))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* x (- (* 2 (/ 1 x)) (/ 1 s)))
(* -1 (/ x s))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x)))))
(* -1 (/ x s))
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
(/ (- (* 2 s) x) s)
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ x s)))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
(* -1 x)
(* x (- (* 1/2 (/ x s)) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* (pow x 3) (- (/ 1/2 (* s x)) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 2))
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(- (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))) x)
(* -1 x)
(- (* 1/2 (/ (pow x 2) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
(- (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) x)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-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
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(fma.f32 x (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(fma.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 1/480 binary32) (/.f32 (.f32 x x) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 x s)))))
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (fma.f32 (fma.f32 x (neg.f32 (.f32 (.f32 x x) #s(literal 1/16 binary32))) (fma.f32 (.f32 x (.f32 x x)) #s(literal 1/48 binary32) #s(literal 0 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 s (.f32 s s))) #s(literal 1/2 binary32)))
(exp (neg (log 2)))
#s(literal 1/2 binary32)
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (/.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 x (.f32 x x)) #s(literal -1/48 binary32) (.f32 #s(literal 1/4 binary32) (.f32 (.f32 x (.f32 x x)) #s(literal 1/4 binary32)))) #s(literal 0 binary32)) s) s)) s))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(neg.f32 (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (log.f32 #s(literal 2 binary32))))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/192 binary32) (/.f32 (.f32 x x) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal -1/8 binary32) (.f32 s s))) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (log.f32 #s(literal 2 binary32))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(neg.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 x s)))))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(neg.f32 (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (log.f32 #s(literal 2 binary32))))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (log.f32 #s(literal 2 binary32))))
(* -1 (log 2))
(neg.f32 (log.f32 #s(literal 2 binary32)))
(- (* 1/2 (/ x s)) (log 2))
(neg.f32 (fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (log.f32 #s(literal 2 binary32))))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (log.f32 #s(literal 2 binary32))))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 (log.f32 #s(literal 2 binary32))))
(log 2)
(log.f32 #s(literal 2 binary32))
(+ (log 2) (* -1/2 (/ x s)))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) s) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) (/.f32 #s(literal -1/2 binary32) s)) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(fma.f32 x (fma.f32 x (fma.f32 (/.f32 (.f32 x x) (pow.f32 s #s(literal 4 binary32))) #s(literal -1/192 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/2 binary32) s)) (log.f32 #s(literal 2 binary32)))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log1p.f32 (exp.f32 (neg.f32 (/.f32 x s))))
(log (+ 1 (exp (* -1 (/ x s)))))
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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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#s(literal 2 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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(* -1 x)
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(* -1 x)
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(* -1 x)
(neg.f32 x)
(* -1 x)
(neg.f32 x)
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#s(literal -1 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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(/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)
(* 1/2 (/ (pow x 2) s))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x x) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (.f32 x x)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (.f32 x x)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (neg.f32 s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 x (.f32 x x)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))) (neg.f32 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)

rewrite332.0ms (3.4%)

Memory

5.9MiB live, 512.2MiB allocated

Rules

4 690×	`lower-*.f64`
4 684×	`lower-*.f32`
4 652×	`lower-/.f64`
4 636×	`lower-/.f32`
3 022×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	271
0	64	257
1	238	256
2	1807	256
0	8461	256

Stop Event

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

Counts

21 → 616

Calls

Call 1

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

eval123.0ms (1.2%)

Memory: -5.6MiB live, 298.0MiB allocated
Compiler: Compiled 34 112 to 3 197 computations (90.6% saved)

prune159.0ms (1.6%)

Memory

-10.0MiB live, 365.9MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1 207	13	1 220
Fresh	1	6	7
Picked	1	4	5
Done	0	1	1
Total	1 209	24	1 233

Accuracy

100.0%

Counts

1 233 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.0%	(/.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))))
▶	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	56.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	54.4%	(/.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 (*.f32 #s(literal 1/2 binary32) x) s)) #s(literal 2 binary32))))
	58.3%	(/.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 x (.f32 (.f32 x x) #s(literal -1/6 binary32))) s)) s) x) #s(literal 2 binary32))))
	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
	58.1%	(/.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))))
	56.5%	(/.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))))
	58.3%	(/.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))))
▶	59.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s))))
✓	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	41.6%	(/.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)))))
	54.5%	(/.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 x) (.f32 x #s(literal -1/6 binary32))) (.f32 s s))) x) s))))
	22.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
▶	38.2%	(/.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)))))
	38.1%	(/.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 (.f32 x x) (.f32 #s(literal 1/2 binary32) s) (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s))))))
▶	38.1%	(/.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 x) (.f32 x #s(literal -1/6 binary32))) (.f32 s (*.f32 s s))))))
	48.3%	(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal -1 binary32)))
	61.5%	(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
✓	99.9%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
	20.6%	#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)))
▶	27.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
✓	32.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 759 to 472 computations (37.8% saved)

simplify278.0ms (2.8%)

Memory

42.2MiB live, 341.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s))))
cost-diff	64	(-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s))
cost-diff	64	(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s))
cost-diff	0	(/.f32 (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32))) (.f32 s (*.f32 s s)))
cost-diff	0	#s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32))) (.f32 s (*.f32 s s))))
cost-diff	0	#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 x) (.f32 x #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 (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32))) (.f32 s (*.f32 s s))))))
cost-diff	0	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s))
cost-diff	0	#s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s))))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
cost-diff	0	(/.f32 x s)
cost-diff	0	(fma.f32 (/.f32 x 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) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
cost-diff	64	(*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))
cost-diff	352	(/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
cost-diff	3328	(pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))

Rules

11 626×	`lower-fma.f64`
11 622×	`lower-fma.f32`
4 782×	`lower-*.f64`
4 764×	`lower-*.f32`
1 842×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	524
0	94	498
1	180	477
2	420	463
3	930	455
4	2330	455
5	4984	455
0	8509	435

Stop Event

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

Calls

Call 1

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

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

localize204.0ms (2.1%)

Memory

-40.3MiB live, 291.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.109375	(*.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))
accuracy	0.5910845238066891	(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
accuracy	2.6992672534600635	(/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)
accuracy	13.458922685820394	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s)))
accuracy	0.31640625	(*.f32 x #s(literal -1/6 binary32))
accuracy	6.430094109806931	(/.f32 (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32))) (.f32 s (*.f32 s s)))
accuracy	8.174065272095051	#s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32))) (.f32 s (*.f32 s s))))
accuracy	13.458922685820394	#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 x) (.f32 x #s(literal -1/6 binary32))) (.f32 s (*.f32 s s)))))
accuracy	0.17089659906096927	(.f32 #s(literal 1/2 binary32) (.f32 x x))
accuracy	5.94435712591488	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s))
accuracy	7.851935534809475	#s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))
accuracy	13.840213501294151	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s))))
accuracy	0	(/.f32 x s)
accuracy	0.26856266828062914	(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
accuracy	23.15794553082127	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
accuracy	0.04231597661783102	(exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
accuracy	0.05859375	(pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))
accuracy	0.05859375	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))))
accuracy	0.19140625	(*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))

Samples

128.0ms

256×

valid

Compiler

Compiled 341 to 53 computations (84.5% saved)

Precisions

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

ival-div: 38.0ms (38.4% of total)

ival-mult: 37.0ms (37.4% of total)

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

ival-exp: 4.0ms (4% of total)

const: 4.0ms (4% of total)

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

ival-pow2: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

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

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

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

series73.0ms (0.7%)

Memory

36.7MiB live, 116.3MiB allocated

Counts

25 → 564

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor 0 x) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) (taylor 0 x) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<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 (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor -inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor -inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor -inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor -inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) (taylor inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))) (taylor inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor -inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor -inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) (taylor -inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))) (taylor -inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 s) (taylor 0 s) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 s) (taylor 0 s) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 s) (taylor 0 s) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 s) (taylor 0 s) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 s) (taylor inf s) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 s) (taylor inf s) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 s) (taylor inf s) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 s) (taylor inf s) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 s) (taylor -inf s) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 s) (taylor -inf s) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 s) (taylor -inf s) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 s) (taylor -inf s) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor 0 x) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor 0 x) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor 0 x) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor 0 x) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor -inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor -inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor -inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor -inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor 0 s) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor 0 s) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor 0 s) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor 0 s) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor inf s) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor inf s) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor inf s) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor inf s) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor -inf s) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor -inf s) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor -inf s) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/2 (/ x s)) (taylor -inf s) (#s(alt (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (patch (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (/ (+ (* -1/6 x) (* 1/2 s)) s) (taylor 0 s) (#s(alt (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (patch (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor inf s) (#s(alt (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (patch (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* -1/6 (/ x s))) (taylor inf s) (#s(alt (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (patch (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* -1/6 (/ x s))) (taylor inf s) (#s(alt (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (patch (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* -1/6 (/ x s))) (taylor inf s) (#s(alt (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (patch (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor -inf s) (#s(alt (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (patch (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* -1/6 (/ x s))) (taylor -inf s) (#s(alt (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (patch (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* -1/6 (/ x s))) (taylor -inf s) (#s(alt (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (patch (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* -1/6 (/ x s))) (taylor -inf s) (#s(alt (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (patch (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/6 (/ x s)))) (taylor 0 x) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/6 (/ x s)))) (taylor 0 x) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/6 (/ x s)))) (taylor 0 x) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (/ (pow x 2) s)) (taylor inf x) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) (taylor inf x) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) (taylor inf x) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) (taylor inf x) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (/ (pow x 2) s)) (taylor -inf x) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) (taylor -inf x) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) (taylor -inf x) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) (taylor -inf x) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (/ (pow x 2) s)) (taylor 0 s) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s) (taylor 0 s) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s) (taylor 0 s) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s) (taylor 0 s) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor inf s) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (taylor inf s) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (taylor inf s) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (taylor inf s) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf s) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (taylor -inf s) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (taylor -inf s) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (taylor -inf s) (#s(alt (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (patch (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())

Calls

141 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	(/ (* (* x x) (* x -1/6)) (* s (* s s)))
1.0ms	x	@	0	(/ (* (* x x) (* x -1/6)) (* s (* s s)))
1.0ms	x	@	0	(/ 1 (+ 1 (pow (exp (* (neg x) (/ (/ 1 s) 2))) 2)))
1.0ms	x	@	0	(/ (* 1/2 (* x x)) (* s s))
1.0ms	x	@	inf	(/ 1 (+ 1 (pow (exp (* (neg x) (/ (/ 1 s) 2))) 2)))

simplify448.0ms (4.6%)

Memory

-26.3MiB live, 497.1MiB allocated

Algorithm

1×	egg-herbie

Rules

18 940×	`lower-fma.f64`
18 940×	`lower-fma.f32`
4 762×	`lower-*.f64`
4 762×	`lower-*.f32`
4 048×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	370	5724
1	1103	5451
2	3383	4911
0	8428	4683

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 561

Calls

Call 1

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

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

rewrite287.0ms (2.9%)

Memory

-5.0MiB live, 450.7MiB allocated

Rules

5 190×	`lower-*.f64`
5 172×	`lower-*.f32`
3 658×	`lower-/.f64`
3 636×	`lower-/.f32`
2 648×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	431
0	94	401
1	405	386
2	3308	372
0	9152	366

Stop Event

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

Counts

25 → 521

Calls

Call 1

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

Outputs
(exp.f32 (/.f32 x (neg.f32 s)))
(exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x)))) (/.f32 #s(literal 1/2 binary32) s)))
(exp.f32 (*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1/2 binary32) s))))
(exp.f32 (.f32 (neg.f32 x) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) s))))
(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (neg.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (neg.f32 x)) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1/2 binary32) s)))
(pow.f32 (exp.f32 (neg.f32 x)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) s)))
(pow.f32 (exp.f32 (neg.f32 x)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (neg.f32 x)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (neg.f32 x)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (neg.f32 x)) (.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) s)) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (neg.f32 x)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) s)))
(pow.f32 (exp.f32 (neg.f32 x)) (+.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32))))
(pow.f32 (exp.f32 (neg.f32 x)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32))))
(pow.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) (/.f32 #s(literal 1/2 binary32) s))
(pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 x (.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1/2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 x (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) s))))
(pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) s)) (*.f32 (neg.f32 x) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) s)) (+.f32 (neg.f32 x) (neg.f32 x)))
(pow.f32 (exp.f32 x) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) (pow.f32 s #s(literal -1/2 binary32))) (pow.f32 s #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) (/.f32 #s(literal -1 binary32) s)) #s(literal -1/2 binary32))
(pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) s)) (exp.f32 (/.f32 #s(literal 1/2 binary32) s))) (neg.f32 x))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 x (neg.f32 s)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (exp.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (+.f32 (neg.f32 x) (neg.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x (.f32 s #s(literal 2 binary32))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 x s)))
(sqrt.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(*.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -2 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 s #s(literal 2 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 s #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 s #s(literal 1/2 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 s #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))
(/.f32 #s(literal 1/2 binary32) s)
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))
(/.f32 #s(literal -1/2 binary32) (neg.f32 s))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s))
(*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1/2 binary32))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) s))
(neg.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))))
(neg.f32 (log.f32 (exp.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))))))
(+.f32 (log.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32))))) (log.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 2 binary32))))))
(+.f32 (log.f32 (exp.f32 (.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))) (log.f32 (exp.f32 (.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))
(pow.f32 (/.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s))) #s(literal -1 binary32))
(pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 s (neg.f32 x))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 x (*.f32 s #s(literal 2 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 (exp.f32 (/.f32 x (*.f32 s #s(literal 2 binary32))))))
(/.f32 x (*.f32 #s(literal 2 binary32) (neg.f32 s)))
(/.f32 (neg.f32 x) (*.f32 s #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 x (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 s (neg.f32 x))))
(/.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))
(/.f32 (/.f32 x s) #s(literal -2 binary32))
(/.f32 (.f32 (neg.f32 x) #s(literal 1 binary32)) (.f32 s #s(literal 2 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 x)) (.f32 s #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) (neg.f32 x)) #s(literal -2 binary32))
(/.f32 (.f32 (.f32 x #s(literal 1/2 binary32)) #s(literal -1 binary32)) s)
(*.f32 x (neg.f32 (/.f32 #s(literal 1/2 binary32) s)))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) s))
(*.f32 (neg.f32 x) (log.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) s))))
(.f32 #s(literal 1 binary32) (.f32 (/.f32 x s) #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) s) (.f32 #s(literal 1/2 binary32) (neg.f32 x)))
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (neg.f32 x))
(.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 x (neg.f32 s)) #s(literal 1/2 binary32))
(*.f32 (/.f32 x s) #s(literal -1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 x (neg.f32 s)))
(.f32 (/.f32 x (.f32 s #s(literal 2 binary32))) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (/.f32 x (.f32 s #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) (neg.f32 x))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) x)
(log.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
(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)))
(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 -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.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)))))
(/.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) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(*.f32 (/.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) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (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 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))
(+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/16 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32)))) (fma.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (*.f32 s s))) #s(literal 1/64 binary32) #s(literal 1/8 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal -1/2 binary32)) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32))) #s(literal -1 binary32))
(fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (*.f32 x #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))
(-.f32 (/.f32 (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/16 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal -1/2 binary32))) (/.f32 #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) (/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/16 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal 1/8 binary32)))) (fma.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (*.f32 s s))) #s(literal 1/64 binary32) #s(literal 1/8 binary32))))
(/.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 x) (.f32 s s)) #s(literal 1/16 binary32) #s(literal -1/4 binary32))))
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(pow.f32 (/.f32 s (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 s (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 s (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))))
(/.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s)
(/.f32 (neg.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (neg.f32 s))
(/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x (.f32 x x)) (.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (.f32 s s))) (.f32 (.f32 x (.f32 x x)) #s(literal -1/216 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 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s))) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32))))))
(/.f32 (.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32)))) (.f32 s (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32)))))
(/.f32 (.f32 (.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) #s(literal 1 binary32)) s)
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x (.f32 x x)) (.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (.f32 s s))) (.f32 (.f32 x (.f32 x x)) #s(literal -1/216 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 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s))) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32)))) s))
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x (.f32 x x)) (.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (.f32 s s))) (.f32 (.f32 x (.f32 x x)) #s(literal -1/216 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 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s))) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32)))) (neg.f32 s)))
(/.f32 (.f32 (.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32)))) #s(literal 1 binary32)) (.f32 (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (*.f32 x x) #s(literal -1/2 binary32))) s))
(/.f32 (.f32 (.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) (.f32 (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (*.f32 x x) #s(literal -1/2 binary32))) (neg.f32 s)))
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))) (neg.f32 (neg.f32 s)))
(/.f32 (.f32 (.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (neg.f32 s))
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x (.f32 x x)) (.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (.f32 s s))) (.f32 (.f32 x (.f32 x x)) #s(literal -1/216 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 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s))) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32)))))
(/.f32 (.f32 (.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32)))) (/.f32 #s(literal 1 binary32) s)) (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))))
(.f32 x (.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s)))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) s))
(.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
(.f32 (.f32 x x) (*.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)))
(.f32 (.f32 x x) (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s))
(.f32 (.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) s))
(.f32 (.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (/.f32 x s))
(.f32 (neg.f32 (.f32 (*.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))) (/.f32 #s(literal -1 binary32) s))
(.f32 (.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s)) x)
(.f32 (.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(.f32 (pow.f32 (/.f32 s (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x (.f32 x x)) (.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (.f32 s s))) (.f32 (.f32 x (.f32 x x)) #s(literal -1/216 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 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s))) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32))))))
(.f32 (pow.f32 (/.f32 s (.f32 (.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))) (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (.f32 (.f32 x x) #s(literal -1/2 binary32)))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x #s(literal -1/6 binary32)) s))
(+.f32 (/.f32 (*.f32 x #s(literal -1/6 binary32)) s) #s(literal 1/2 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (fma.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32))) #s(literal -1 binary32))
(fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32))
(fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32))
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
(fma.f32 (*.f32 x #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))
(-.f32 (/.f32 (.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32)) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (fma.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (*.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32))))
(/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32)) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)))
(/.f32 (neg.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(/.f32 (neg.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32))) (neg.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x #s(literal -1/6 binary32)) s)))
(/.f32 (-.f32 (.f32 (.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32)) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32))) (.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) #s(literal 1/4 binary32))) (.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32))))
(.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal -1/12 binary32))))))
(.f32 (fma.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32))))
(+.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32)))
(+.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) s))
(fma.f32 x #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s))
(fma.f32 x (/.f32 (.f32 x #s(literal -1/6 binary32)) s) (.f32 x #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) (.f32 x #s(literal -1/6 binary32)) (.f32 x #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) x (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s))
(fma.f32 #s(literal -1/6 binary32) (.f32 (/.f32 x s) x) (.f32 x #s(literal 1/2 binary32)))
(fma.f32 (.f32 x #s(literal -1/6 binary32)) (/.f32 x s) (.f32 x #s(literal 1/2 binary32)))
(fma.f32 (/.f32 (.f32 x #s(literal -1/6 binary32)) s) x (.f32 x #s(literal 1/2 binary32)))
(fma.f32 (/.f32 (.f32 x x) s) #s(literal -1/6 binary32) (.f32 x #s(literal 1/2 binary32)))
(/.f32 (fma.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/216 binary32)) (.f32 s (.f32 s s))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/8 binary32))) (fma.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (-.f32 (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x #s(literal 1/2 binary32))) (.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32))))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s)) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x #s(literal 1/2 binary32)))) (-.f32 (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) s) (*.f32 x #s(literal 1/2 binary32))))
(/.f32 (.f32 x (fma.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32))) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (.f32 x (fma.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32))) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)))
(/.f32 (.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 s (.f32 s s))) #s(literal -1/216 binary32) #s(literal 1/8 binary32)) x) (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) #s(literal 1/36 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 (/.f32 x s) #s(literal -1/12 binary32)))))
(/.f32 (.f32 (fma.f32 (/.f32 (.f32 x x) (*.f32 s s)) #s(literal 1/36 binary32) #s(literal -1/4 binary32)) x) (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal -1/2 binary32)))
(*.f32 x (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)))
(*.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) x)

eval187.0ms (1.9%)

Memory: 4.2MiB live, 229.8MiB allocated
Compiler: Compiled 22 062 to 2 607 computations (88.2% saved)

prune213.0ms (2.2%)

Memory

13.1MiB live, 422.8MiB allocated

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	1 116	19	1 135
Fresh	7	7	14
Picked	4	1	5
Done	0	5	5
Total	1 127	32	1 159

Accuracy

100.0%

Counts

1 159 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.0%	(/.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))))
▶	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	56.7%	(/.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))))
	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
	59.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 x) (*.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s)) x) s))))
	59.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s))))
	59.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (.f32 x x) (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s))) s))))
▶	55.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)))) s))))
	53.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 s #s(literal -1/2 binary32) (.f32 x #s(literal 1/6 binary32)))) (.f32 s s))) s))))
✓	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	41.6%	(/.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)))))
	38.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s (*.f32 s s))))))
	22.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
	37.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 x (.f32 s #s(literal 2 binary32))) x) s))))
▶	36.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s))))
	37.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (.f32 s s)))))
	39.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
	39.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))))))
	40.0%	(/.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 #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s)))))))
	38.1%	(/.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 #s(literal -1/6 binary32) (.f32 s (*.f32 s s)))))))
	48.3%	(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal -1 binary32)))
	61.5%	(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
✓	99.9%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
	27.6%	#s(approx (/ 1 (+ 1 (pow (exp (* (neg x) (/ (/ 1 s) 2))) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
	23.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	20.6%	#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)))
✓	27.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	27.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	27.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
▶	7.4%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
✓	32.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 962 to 598 computations (37.8% saved)

simplify257.0ms (2.6%)

Memory

23.3MiB live, 284.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)))) s)
cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)))) s))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 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 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)))) s))))
cost-diff	0	#s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s))))
cost-diff	192	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s)
cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
cost-diff	0	(/.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)))))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 s x))
cost-diff	0	(*.f32 x #s(literal 1/4 binary32))
cost-diff	0	(/.f32 (*.f32 x #s(literal 1/4 binary32)) s)
cost-diff	0	#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
cost-diff	0	(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
cost-diff	0	(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
cost-diff	3328	(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))

Rules

13 924×	`lower-fma.f64`
13 922×	`lower-fma.f32`
3 686×	`lower-*.f64`
3 670×	`lower-*.f32`
1 626×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	520
0	89	518
1	170	512
2	368	503
3	597	503
4	1339	503
5	2797	496
6	4571	496
7	7289	496
0	8110	475

Stop Event

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

Calls

Call 1

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

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

localize176.0ms (1.8%)

Memory

-17.4MiB live, 294.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))
accuracy	0.2265625	(fma.f32 x #s(literal -1/6 binary32) (*.f32 s #s(literal 1/2 binary32)))
accuracy	7.136626074021349	(/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s))
accuracy	13.337729832620678	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)))) s)))
accuracy	0.8288237142873446	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s)
accuracy	3.017387946321091	(.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x))
accuracy	7.770408244810401	#s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s))
accuracy	13.741158086564498	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s)))
accuracy	0.014003759768442016	(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))
accuracy	0.05859375	(/.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)))))
accuracy	0.1875	(/.f32 #s(literal 1 binary32) (/.f32 s x))
accuracy	18.906038185712013	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x))))
accuracy	0	(*.f32 x #s(literal 1/4 binary32))
accuracy	0.009070031620653759	(/.f32 (*.f32 x #s(literal 1/4 binary32)) s)
accuracy	7.9479559601518	#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
accuracy	23.0661469731042	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
accuracy	0.0234375	(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)))
accuracy	0.036124716849389005	(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
accuracy	0.0546875	(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))
accuracy	0.05859375	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))

Samples

97.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 302 to 52 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-div: 31.0ms (39.2% of total)

ival-mult: 21.0ms (26.5% of total)

ival-add: 8.0ms (10.1% of total)

ival-exp: 7.0ms (8.8% of total)

const: 4.0ms (5.1% of total)

ival-sub: 3.0ms (3.8% of total)

ival-pow2: 2.0ms (2.5% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

series75.0ms (0.8%)

Memory

-3.4MiB live, 113.8MiB allocated

Counts

24 → 564

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor 0 x) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) (taylor 0 x) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<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 (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor -inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor -inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor -inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor -inf x) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (* -1/2 (/ x s))) 2) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) (taylor inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))) (taylor inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor -inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor -inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) (taylor -inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))) (taylor -inf s) (#s(alt (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)))) #<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) (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s) (taylor inf s) (#s(alt (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)) (patch (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s) (taylor inf s) (#s(alt (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)) (patch (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s) (taylor inf s) (#s(alt (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)) (patch (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) s)) (taylor -inf s) (#s(alt (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)) (patch (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) (taylor -inf s) (#s(alt (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)) (patch (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) (taylor -inf s) (#s(alt (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)) (patch (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s)) (taylor -inf s) (#s(alt (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)) (patch (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 s) (taylor 0 x) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 x) (* 1/2 s)) (taylor 0 x) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 x) (* 1/2 s)) (taylor 0 x) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 x) (* 1/2 s)) (taylor 0 x) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (- (* 1/2 (/ s x)) 1/6)) (taylor inf x) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (- (* 1/2 (/ s x)) 1/6)) (taylor inf x) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (- (* 1/2 (/ s x)) 1/6)) (taylor inf x) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1/6 (* -1/2 (/ s x))))) (taylor -inf x) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1/6 (* -1/2 (/ s x))))) (taylor -inf x) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1/6 (* -1/2 (/ s x))))) (taylor -inf x) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1/6 x) (taylor 0 s) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 x) (* 1/2 s)) (taylor 0 s) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 x) (* 1/2 s)) (taylor 0 s) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 x) (* 1/2 s)) (taylor 0 s) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 s) (taylor inf s) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* s (+ 1/2 (* -1/6 (/ x s)))) (taylor inf s) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* s (+ 1/2 (* -1/6 (/ x s)))) (taylor inf s) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* s (+ 1/2 (* -1/6 (/ x s)))) (taylor inf s) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 s) (taylor -inf s) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* s (- (* 1/6 (/ x s)) 1/2))) (taylor -inf s) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* s (- (* 1/6 (/ x s)) 1/2))) (taylor -inf s) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* s (- (* 1/6 (/ x s)) 1/2))) (taylor -inf s) (#s(alt (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (patch (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (* s x)) (taylor 0 x) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (* -1/6 x) (* 1/2 s))) (taylor 0 x) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (* -1/6 x) (* 1/2 s))) (taylor 0 x) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (* -1/6 x) (* 1/2 s))) (taylor 0 x) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor inf x) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ s x)) 1/6)) (taylor inf x) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ s x)) 1/6)) (taylor inf x) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ s x)) 1/6)) (taylor inf x) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ s x)) 1/6)) (taylor -inf x) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ s x)) 1/6)) (taylor -inf x) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ s x)) 1/6)) (taylor -inf x) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 s) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (taylor 0 s) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (taylor 0 s) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (taylor 0 s) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (* s x)) (taylor inf s) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* s (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))) (taylor inf s) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* s (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))) (taylor inf s) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* s (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))) (taylor inf s) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (* s x)) (taylor -inf s) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* s (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))))) (taylor -inf s) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* s (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))))) (taylor -inf s) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* s (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))))) (taylor -inf s) (#s(alt (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (patch (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())

Calls

141 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	(* x (+ (* x -1/6) (* s 1/2)))
12.0ms	s	@	-inf	(/ (* x (* x (+ (* x -1/6) (* s 1/2)))) (* s s))
1.0ms	x	@	0	(/ (* x (* x (+ (* x -1/6) (* s 1/2)))) (* s s))
0.0ms	s	@	inf	(* (/ 1/2 s) (* x x))
0.0ms	x	@	inf	(/ (* x (* x (+ (* x -1/6) (* s 1/2)))) (* s s))

simplify375.0ms (3.8%)

Memory

12.9MiB live, 519.6MiB allocated

Algorithm

1×	egg-herbie

Rules

20 568×	`lower-fma.f64`
20 568×	`lower-fma.f32`
4 900×	`lower-*.f64`
4 900×	`lower-*.f32`
4 506×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	395	5917
1	1190	5485
2	3608	4912
0	8409	4686

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

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

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

rewrite350.0ms (3.6%)

Memory

0.6MiB live, 564.1MiB allocated

Rules

4 792×	`lower-*.f64`
4 776×	`lower-*.f32`
4 232×	`lower-/.f64`
4 208×	`lower-/.f32`
2 260×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	407
0	89	399
1	382	382
2	2951	382
0	8904	370

Stop Event

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

Counts

24 → 624

Calls

Call 1

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

Outputs
(exp.f32 (/.f32 x (neg.f32 s)))
(exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 1 binary32)))
(exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 x s))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 x s)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (exp.f32 x) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 x) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)))
(pow.f32 (E.f32) (/.f32 x (neg.f32 s)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 x))
(pow.f32 (exp.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (neg.f32 x)) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) x) s))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (+.f32 (/.f32 x s) (/.f32 x s)))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (*.f32 (exp.f32 #s(literal -1/2 binary32)) (exp.f32 #s(literal -1/2 binary32))) (/.f32 x s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) s))
(pow.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) s))) x)
(pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s))) x)
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 x s)))
(.f32 (exp.f32 (/.f32 (.f32 x #s(literal -1/2 binary32)) s)) (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)))
(*.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(.f32 (.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 x #s(literal -1/2 binary32)) s))) (exp.f32 (/.f32 (.f32 x #s(literal -1/2 binary32)) s)))
(.f32 (pow.f32 (.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (.f32 x #s(literal -1/2 binary32)) s)))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (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 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s)))) #s(literal -1 binary32))))
(+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))
(pow.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 (.f32 x #s(literal -1/2 binary32)) s)) (exp.f32 (/.f32 (.f32 x #s(literal -1/2 binary32)) s)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))
(fma.f32 (.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 x #s(literal -1/2 binary32)) s))) (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 x #s(literal -1/2 binary32)) s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) s)) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))) (/.f32 (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))))
(/.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))))))
(/.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (+.f32 (exp.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 3 binary32)))) (.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 x (neg.f32 s))) (expm1.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)))) (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32))))) (neg.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))))
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(/.f32 (neg.f32 (.f32 x (fma.f32 (.f32 x (.f32 x x)) #s(literal -1/216 binary32) (.f32 #s(literal 1/8 binary32) (.f32 s (.f32 s s)))))) (neg.f32 (fma.f32 (.f32 s #s(literal 1/2 binary32)) (-.f32 (.f32 s #s(literal 1/2 binary32)) (.f32 x #s(literal -1/6 binary32))) (.f32 (*.f32 x x) #s(literal 1/36 binary32)))))
(/.f32 (neg.f32 (.f32 x (-.f32 (.f32 (.f32 x x) #s(literal 1/36 binary32)) (.f32 #s(literal 1/4 binary32) (.f32 s s))))) (neg.f32 (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal -1/2 binary32) s))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) #s(literal -1/216 binary32) (.f32 #s(literal 1/8 binary32) (.f32 s (.f32 s s)))) x)) (neg.f32 (fma.f32 (.f32 s #s(literal 1/2 binary32)) (-.f32 (.f32 s #s(literal 1/2 binary32)) (.f32 x #s(literal -1/6 binary32))) (.f32 (*.f32 x x) #s(literal 1/36 binary32)))))
(/.f32 (neg.f32 (.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/36 binary32)) (.f32 #s(literal 1/4 binary32) (.f32 s s))) x)) (neg.f32 (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal -1/2 binary32) s))))
(.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))
(.f32 (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) x)

eval119.0ms (1.2%)

Memory: 6.5MiB live, 299.4MiB allocated
Compiler: Compiled 23 797 to 2 748 computations (88.5% saved)

prune295.0ms (3%)

Memory

7.6MiB live, 483.2MiB allocated

Pruning

32 alts after pruning (22 fresh and 10 done)

	Pruned	Kept	Total
New	1 183	5	1 188
Fresh	4	17	21
Picked	1	4	5
Done	0	6	6
Total	1 188	32	1 220

Accuracy

100.0%

Counts

1 220 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.0%	(/.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))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	56.7%	(/.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))))
	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 2 binary32))))
	55.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (.f32 s s)))) (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
	42.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 2 binary32))))
	59.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 x) (*.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s)) x) s))))
	56.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (.f32 (.f32 x x) (/.f32 (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (.f32 s s))))) s))))
	53.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 s #s(literal -1/2 binary32) (.f32 x #s(literal 1/6 binary32)))) (.f32 s s))) s))))
✓	41.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
✓	41.6%	(/.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)))))
	38.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s (*.f32 s s))))))
	22.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
	37.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 x (.f32 s #s(literal 2 binary32))) x) s))))
✓	36.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s))))
	37.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (.f32 s s)))))
	39.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
	39.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))))))
	40.0%	(/.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 #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s)))))))
	38.1%	(/.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 #s(literal -1/6 binary32) (.f32 s (*.f32 s s)))))))
	48.3%	(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal -1 binary32)))
	61.5%	(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))
✓	99.9%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
	27.6%	#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
	23.0%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	20.6%	#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)))
✓	27.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	27.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	27.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
✓	7.4%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
✓	32.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 1 265 to 538 computations (57.5% saved)

regimes152.0ms (1.5%)

Memory

-19.2MiB live, 177.2MiB allocated

Counts

50 → 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 (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) 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)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (neg x) (/ (/ 1 s) 2))) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #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)))))
(/.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) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.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 (.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 x (.f32 s #s(literal 2 binary32))) 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)))
(/.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 (*.f32 #s(literal 1/2 binary32) 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 x (.f32 x x)) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 #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))) #s(approx (- 2 (/ (- x (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 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 x) (.f32 x #s(literal -1/6 binary32))) (.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 s #s(literal -1/2 binary32) (.f32 x #s(literal 1/6 binary32)))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 (.f32 x x) (.f32 #s(literal 1/2 binary32) s) (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (.f32 (.f32 x x) (/.f32 (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (.f32 s s))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (.f32 x x) (/.f32 (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))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 x) (*.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (.f32 s s)))) (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32))) s)) s) x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (*.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) #s(literal 2 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))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s)))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (neg.f32 x) x) s))) #s(literal -1 binary32)))

Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

Calls

7 calls:

32.0ms	x
30.0ms	(neg.f32 x)
25.0ms	(/.f32 (neg.f32 x) s)
21.0ms	s
19.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes153.0ms (1.6%)

Memory

10.4MiB live, 168.4MiB allocated

Counts

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

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

Calls

7 calls:

34.0ms	x
33.0ms	(/.f32 (neg.f32 x) s)
25.0ms	s
23.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
13.0ms	(neg.f32 x)

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)

regimes121.0ms (1.2%)

Memory

-4.7MiB live, 114.0MiB allocated

Counts

43 → 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 (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) 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)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (neg x) (/ (/ 1 s) 2))) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #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)))))
(/.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) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.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 (.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 x (.f32 s #s(literal 2 binary32))) 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)))
(/.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 (*.f32 #s(literal 1/2 binary32) 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 x (.f32 x x)) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 #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))) #s(approx (- 2 (/ (- x (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 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 x) (.f32 x #s(literal -1/6 binary32))) (.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 s #s(literal -1/2 binary32) (.f32 x #s(literal 1/6 binary32)))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 (.f32 x x) (.f32 #s(literal 1/2 binary32) s) (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (.f32 (.f32 x x) (/.f32 (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (.f32 s s))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (.f32 x x) (/.f32 (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))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 x) (*.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32)))) (.f32 s s)))) (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32))) s)) 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 (fma.f32 (neg.f32 x) (*.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s)) x) s))))

Calls

7 calls:

28.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
26.0ms	(/.f32 (neg.f32 x) s)
22.0ms	s
12.0ms	(neg.f32 x)
12.0ms	x

Results

Accuracy	Segments	Branch
67.7%	2	`x`
59.5%	1	`s`
67.8%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
67.8%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
67.8%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
67.8%	2	`(/.f32 (neg.f32 x) s)`
67.7%	2	`(neg.f32 x)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes69.0ms (0.7%)

Memory

-3.7MiB live, 35.5MiB allocated

Counts

37 → 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 (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) 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)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (neg x) (/ (/ 1 s) 2))) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #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)))))
(/.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) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.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 (.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 x (.f32 s #s(literal 2 binary32))) 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)))
(/.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 (*.f32 #s(literal 1/2 binary32) 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 x (.f32 x x)) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 #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))) #s(approx (- 2 (/ (- x (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 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 x) (.f32 x #s(literal -1/6 binary32))) (.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 s #s(literal -1/2 binary32) (.f32 x #s(literal 1/6 binary32)))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 (.f32 x x) (.f32 #s(literal 1/2 binary32) s) (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (.f32 (.f32 x x) (/.f32 (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (.f32 s s))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (.f32 x x) (/.f32 (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))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)))) s)) s))))

Outputs

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

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

Calls

6 calls:

21.0ms	x
10.0ms	(neg.f32 x)
10.0ms	(/.f32 (neg.f32 x) s)
9.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
9.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
67.1%	2	`x`
67.1%	2	`(neg.f32 x)`
67.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
67.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
67.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
67.7%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes47.0ms (0.5%)

Memory

22.8MiB live, 60.4MiB allocated

Counts

35 → 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 (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) 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)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (neg x) (/ (/ 1 s) 2))) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #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)))))
(/.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) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.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 (.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 x (.f32 s #s(literal 2 binary32))) 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)))
(/.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 (*.f32 #s(literal 1/2 binary32) 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 x (.f32 x x)) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 #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))) #s(approx (- 2 (/ (- x (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 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 x) (.f32 x #s(literal -1/6 binary32))) (.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 s #s(literal -1/2 binary32) (.f32 x #s(literal 1/6 binary32)))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 (.f32 x x) (.f32 #s(literal 1/2 binary32) s) (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (.f32 (.f32 x x) (/.f32 (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (.f32 s s))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s s)))) s))))

Outputs

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

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

Calls

5 calls:

10.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
10.0ms	(neg.f32 x)
9.0ms	(/.f32 (neg.f32 x) s)
8.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
8.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
67.1%	2	`(neg.f32 x)`
66.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
66.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
66.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
66.6%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 37 to 27 computations (27% saved)

regimes115.0ms (1.2%)

Memory

-33.3MiB live, 61.4MiB allocated

Counts

33 → 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 (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) 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)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (neg x) (/ (/ 1 s) 2))) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #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)))))
(/.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) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.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 (.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 x (.f32 s #s(literal 2 binary32))) 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)))
(/.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 (*.f32 #s(literal 1/2 binary32) 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 x (.f32 x x)) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x x) (.f32 x #s(literal -1/6 binary32))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 #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))) #s(approx (- 2 (/ (- x (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 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 x) (.f32 x #s(literal -1/6 binary32))) (.f32 s s))) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 s #s(literal -1/2 binary32) (.f32 x #s(literal 1/6 binary32)))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 (.f32 x x) (.f32 #s(literal 1/2 binary32) s) (.f32 (.f32 x x) (.f32 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 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32))))

Calls

6 calls:

48.0ms	x
32.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
9.0ms	(neg.f32 x)
9.0ms	(/.f32 (neg.f32 x) s)
8.0ms	(/.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)`
65.8%	2	`x`
65.8%	2	`(neg.f32 x)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes44.0ms (0.4%)

Memory

29.9MiB live, 106.2MiB 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 (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) 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)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (neg x) (/ (/ 1 s) 2))) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #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)))))
(/.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) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.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 (.f32 x (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s))) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) (.f32 x x)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 (/.f32 x (.f32 s #s(literal 2 binary32))) 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)))
(/.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 (*.f32 #s(literal 1/2 binary32) 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))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 x (/.f32 #s(literal 1 binary32) (*.f32 s s)))))))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
63.8%	2	`x`
63.8%	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)

regimes62.0ms (0.6%)

Memory

-23.6MiB live, 61.5MiB 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 (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) 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)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (neg x) (/ (/ 1 s) 2))) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 x #s(literal 1/4 binary32) (*.f32 s #s(literal 1/2 binary32))) s)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #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)))))
(/.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) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 x x)) (*.f32 s s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.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 (.f32 x (fma.f32 x #s(literal 1/2 binary32) (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))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))))

Calls

4 calls:

44.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
6.0ms	(/.f32 (neg.f32 x) s)
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
65.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
65.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
65.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
65.3%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes27.0ms (0.3%)

Memory

-11.0MiB live, 27.0MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

13.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms	(/.f32 (neg.f32 x) s)
4.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
4.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes45.0ms (0.5%)

Memory

18.3MiB live, 56.9MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

18.0ms	x
5.0ms	s
5.0ms	(neg.f32 x)
4.0ms	(/.f32 (neg.f32 x) s)
4.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
42.2%	1	`s`
50.2%	2	`x`
50.2%	2	`(neg.f32 x)`
50.9%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
50.9%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
50.9%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
50.9%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes17.0ms (0.2%)

Memory

-1.2MiB live, 36.8MiB allocated

Counts

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

5.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
4.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
3.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
50.4%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
50.4%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
50.4%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
50.4%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes22.0ms (0.2%)

Memory

5.6MiB live, 46.2MiB allocated

Counts

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

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:

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

Results

Accuracy	Segments	Branch
48.4%	2	`x`
48.4%	2	`(neg.f32 x)`
48.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
48.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
48.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
48.6%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes23.0ms (0.2%)

Memory

15.3MiB live, 52.9MiB allocated

Accuracy

Total -8.2b remaining (-38%)

Threshold costs -8.2b (-38%)

Counts

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
32.9%	1	`s`
32.9%	1	`x`
32.9%	1	`(neg.f32 x)`
32.9%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
32.9%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
32.9%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
32.9%	1	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.675241947174072	-1.8578234910964966

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.675241947174072	-1.8578234910964966

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	1.2694946725099282e-26	1.437241244736112e-26

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	-5.675241947174072	-1.8578234910964966

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	1.022588849067688	1013.6887817382813

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	3394.098876953125	3538.7109375

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch4.0ms (0%)

Memory

-35.2MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.022588849067688	1013.6887817382813

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	-1.0421839952468872	-0.21440277993679047

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	-1.0421839952468872	-0.21440277993679047

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	1.022588849067688	1013.6887817382813

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify43.0ms (0.4%)

Memory

14.6MiB live, 51.3MiB allocated

Algorithm

1×	egg-herbie

Rules

354×	`distribute-lft-neg-in_binary32`
252×	`unsub-neg_binary32`
230×	`neg-mul-1_binary32`
194×	`neg-sub0_binary32`
138×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	481
1	151	481
2	193	481
3	227	481
4	276	481
5	338	481
6	400	481
7	535	481
8	761	481
9	955	481
10	1099	481
11	1218	481
12	1263	481
13	1267	481

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 x) (*.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s)) x) s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (.f32 x x) (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s))) s)))))
(if (<=.f32 (neg.f32 x) #s(literal 1135815/81129638414606681695789005144064 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (.f32 (.f32 x x) (/.f32 (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (.f32 s 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 2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s))))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 3500 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 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 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(approx (/ 1 (+ 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
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 x (neg.f32 s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 1 binary32)))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 x) (*.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s)) x) s)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 x) (*.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 x s)) x) s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (.f32 x x) (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s))) s)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 (.f32 x x) (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) s)) x) s)))))
(if (<=.f32 (neg.f32 x) #s(literal 1135815/81129638414606681695789005144064 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (.f32 (.f32 x x) (/.f32 (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (.f32 s s))))) s)))))
(if (<=.f32 (neg.f32 x) #s(literal 1135815/81129638414606681695789005144064 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(approx (/ (* x (* x (+ (* (/ x s) -1/6) 1/2))) s) (.f32 (.f32 x x) (/.f32 (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (.f32 s s)))) x) s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s))))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 s s))))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 3500 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 3500 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x #s(literal 1/2 binary32)) (/.f32 x (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 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 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -1 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 #s(literal -1/2 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) s) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal -1 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 x (neg.f32 s))))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

soundness1.7s (17.7%)

Memory

19.1MiB live, 1 344.6MiB allocated

Rules

40 054×	`lower-fma.f64`
40 054×	`lower-fma.f32`
18 940×	`lower-fma.f64`
18 940×	`lower-fma.f32`
12 752×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	271
0	64	257
1	238	256
2	1807	256
0	8461	256
0	60	407
0	89	399
1	382	382
2	2951	382
0	8904	370
0	8	27
0	13	27
1	48	27
2	255	27
3	2101	27
0	8465	26
0	370	5724
1	1103	5451
2	3383	4911
0	8428	4683
0	62	431
0	94	401
1	405	386
2	3308	372
0	9152	366
0	427	5335
1	1282	4537
2	4554	4471
0	8808	4150
0	140	758
1	378	748
2	1147	742
3	3893	722
0	8438	682

Stop Event

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

Compiler

Compiled 542 to 289 computations (46.7% saved)

preprocess113.0ms (1.1%)

Memory: -24.1MiB live, 214.8MiB allocated
Compiler: Compiled 536 to 178 computations (66.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	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%)

analyze40.0ms (0.4%)

sample998.0ms (10.2%)

explain97.0ms (1%)

preprocess31.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize28.0ms (0.3%)

series14.0ms (0.1%)

simplify428.0ms (4.4%)

rewrite328.0ms (3.3%)

eval109.0ms (1.1%)

prune131.0ms (1.3%)

simplify238.0ms (2.4%)

localize154.0ms (1.6%)

series140.0ms (1.4%)

simplify341.0ms (3.5%)

rewrite332.0ms (3.4%)

eval123.0ms (1.2%)

prune159.0ms (1.6%)

simplify278.0ms (2.8%)

localize204.0ms (2.1%)

series73.0ms (0.7%)

simplify448.0ms (4.6%)

rewrite287.0ms (2.9%)

eval187.0ms (1.9%)

prune213.0ms (2.2%)

simplify257.0ms (2.6%)

localize176.0ms (1.8%)

series75.0ms (0.8%)

simplify375.0ms (3.8%)

rewrite350.0ms (3.6%)

eval119.0ms (1.2%)

prune295.0ms (3%)

regimes152.0ms (1.5%)

regimes153.0ms (1.6%)

regimes121.0ms (1.2%)

regimes69.0ms (0.7%)

regimes47.0ms (0.5%)

regimes115.0ms (1.2%)

regimes44.0ms (0.4%)

regimes62.0ms (0.6%)

regimes27.0ms (0.3%)

regimes45.0ms (0.5%)

regimes17.0ms (0.2%)

regimes22.0ms (0.2%)

regimes23.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify43.0ms (0.4%)

soundness1.7s (17.7%)

preprocess113.0ms (1.1%)

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