Metrics for Logistic function

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze43.0ms (0.4%)

Memory

4.6MiB live, 42.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	24.7%	75.3%	0%	0%	0%	0
0%	0%	24.7%	75.3%	0%	0%	0%	1
0%	0%	24.7%	75.3%	0%	0%	0%	2
0%	0%	24.7%	75.3%	0%	0%	0%	3
0%	0%	24.7%	75.3%	0%	0%	0%	4
50%	12.4%	12.4%	75.3%	0%	0%	0%	5
50%	12.4%	12.4%	75.3%	0%	0%	0%	6
75%	18.5%	6.2%	75.3%	0%	0%	0%	7
75%	18.5%	6.2%	75.3%	0%	0%	0%	8
87.5%	21.6%	3.1%	75.3%	0%	0%	0%	9
87.5%	21.6%	3.1%	75.3%	0%	0%	0%	10
93.7%	23.2%	1.5%	75.3%	0%	0%	0%	11
93.7%	23.2%	1.5%	75.3%	0%	0%	0%	12

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.3s (12.6%)

Memory

19.8MiB live, 1 121.6MiB allocated

Samples

947.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 761.0ms

const: 327.0ms (43% of total)

ival-div: 170.0ms (22.3% of total)

ival-exp: 74.0ms (9.7% of total)

ival-neg: 68.0ms (8.9% of total)

ival-<=: 63.0ms (8.3% of total)

ival-add: 36.0ms (4.7% of total)

ival-and: 11.0ms (1.4% of total)

exact: 10.0ms (1.3% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain134.0ms (1.3%)

Memory

1.0MiB live, 86.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
2	2	(0.0019603429827839136 1.193581374536734e-5)	2	(9.660445550055514e-23 1.3831236301898414e-24)	`(exp.f32 (/.f32 (neg.f32 x) s))`
0	0	-	0	-	`s`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
0	0	-	0	-	`(neg.f32 x)`
0	0	-	0	-	`(/.f32 (neg.f32 x) s)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 x) s))`	sensitivity	2	3

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	2	3	251

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

43.0ms

512×

valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-neg: 17.0ms (55.2% of total)

ival-div: 7.0ms (22.7% of total)

ival-exp: 4.0ms (13% of total)

ival-add: 2.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess30.0ms (0.3%)

Memory

15.0MiB live, 15.0MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB 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

localize35.0ms (0.3%)

Memory

-18.5MiB live, 18.5MiB 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	0.02734375	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy	0.06085670288117193	(exp.f32 (/.f32 (neg.f32 x) s))

Samples

27.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

ival-div: 3.0ms (32.3% of total)

ival-exp: 3.0ms (32.3% of total)

ival-add: 1.0ms (10.8% of total)

ival-neg: 1.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

5 → 108

Calls

Call 1

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

Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ x s))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ x s))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ x s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())

Calls

27 calls:

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

simplify733.0ms (6.9%)

Memory

-3.6MiB live, 463.9MiB 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)

rewrite638.0ms (6%)

Memory

-0.1MiB live, 470.8MiB 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)))

eval242.0ms (2.3%)

Memory: 0.7MiB live, 188.1MiB allocated
Compiler: Compiled 21 187 to 2 699 computations (87.3% saved)

prune119.0ms (1.1%)

Memory

-9.0MiB live, 275.3MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

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

Accuracy

100.0%

Counts

819 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.3%	(/.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))))
▶	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
▶	58.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	58.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32))))
▶	42.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	59.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x))) s) x) s))))
	20.8%	#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)))
	28.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
▶	34.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 287 to 184 computations (35.9% saved)

simplify189.0ms (1.8%)

Memory

-2.1MiB live, 280.0MiB 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 x s))
cost-diff	0	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
cost-diff	288	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))

Rules

10 580×	`lower-fma.f64`
10 574×	`lower-fma.f32`
2 394×	`lower-*.f64`
2 388×	`lower-*.f32`
1 338×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	330
0	59	309
1	98	309
2	171	309
3	280	302
4	451	302
5	730	302
6	1544	302
7	3477	302
8	5119	302
9	6922	302
10	7987	302
0	8005	287

Stop Event

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

Calls

Call 1

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

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

localize93.0ms (0.9%)

Memory

1.5MiB live, 198.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.6204422173762565	(/.f32 (.f32 x (.f32 x x)) s)
accuracy	1.8239960912923796	(/.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	3.545626516241968	(fma.f32 (/.f32 (.f32 x (.f32 x x)) s) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 x x)))
accuracy	12.579623048535696	#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	0.02734375	(/.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	0.08413238086616934	(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
accuracy	0.0859375	(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))
accuracy	11.983193432341215	#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	0.00390625	(-.f32 #s(literal 2 binary32) (/.f32 x s))
accuracy	0.02734375	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
accuracy	12.823450604417289	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))
accuracy	10.428297977073315	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy	0.0234375	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
accuracy	0.02734375	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
accuracy	0.06820890409096156	(exp.f32 (/.f32 x s))
accuracy	0.07673381324130751	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))

Samples

37.0ms	165×	0	valid
18.0ms	91×	0	exit

Compiler

Compiled 256 to 34 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 13.0ms (32.1% of total)

ival-mult: 8.0ms (19.8% of total)

ival-add: 6.0ms (14.8% of total)

ival-exp: 6.0ms (14.8% of total)

const: 3.0ms (7.4% of total)

ival-sub: 2.0ms (4.9% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series110.0ms (1%)

Memory

18.0MiB live, 96.1MiB allocated

Counts

20 → 480

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	(+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x)))
3.0ms	x	@	0	(+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s))
2.0ms	s	@	0	(/ 1 (exp (/ x s)))
1.0ms	s	@	inf	(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
1.0ms	s	@	0	(+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x)))

simplify272.0ms (2.5%)

Memory

11.2MiB live, 474.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 532×	`lower-fma.f64`
14 532×	`lower-fma.f32`
5 172×	`lower-*.f64`
5 172×	`lower-*.f32`
3 288×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	383	4835
1	1188	4468
2	3985	4320
0	8302	4119

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

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

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

rewrite328.0ms (3.1%)

Memory

-29.7MiB live, 538.0MiB allocated

Rules

4 906×	`lower-*.f64`
4 900×	`lower-*.f32`
4 832×	`lower-/.f64`
4 814×	`lower-/.f32`
3 164×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	271
0	59	254
1	255	254
2	1848	254
0	8827	254

Stop Event

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

Counts

20 → 638

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))
(exp.f32 (/.f32 x (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 x))) (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))
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(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 #s(literal 1 binary32) (/.f32 (.f32 x (*.f32 x x)) s))
(.f32 x (/.f32 (.f32 x x) s))
(.f32 (.f32 x x) (/.f32 x s))
(.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) s))
(.f32 (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 (1.1%)

Memory: 19.1MiB live, 285.9MiB allocated
Compiler: Compiled 35 834 to 3 414 computations (90.5% saved)

prune192.0ms (1.8%)

Memory

35.6MiB live, 426.3MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1 303	22	1 325
Fresh	3	1	4
Picked	1	4	5
Done	0	1	1
Total	1 307	28	1 335

Accuracy

100.0%

Counts

1 335 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
	51.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (.f32 s (.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
	56.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
	60.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s)) s) x) s))))))
	60.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
▶	58.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	58.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	58.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) #s(literal 2 binary32))))
	56.4%	(/.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 x s) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
	42.3%	(/.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))))
▶	59.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	24.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))
	60.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s))))
✓	42.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	42.3%	(/.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)))))
	59.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 x x) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/6 binary32)) s)) s) x) s))))
	41.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (fma.f32 x (/.f32 #s(literal -2 binary32) x) (/.f32 x s))))))
	20.6%	(/.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 (fma.f32 x (neg.f32 s) (.f32 x (.f32 x #s(literal 1/2 binary32)))) (*.f32 s s)))))
	37.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
	37.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 #s(literal -1 binary32) (.f32 x s)))))))
▶	37.2%	(/.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 x (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 s (.f32 x (.f32 x #s(literal 1/2 binary32))))) (.f32 s (*.f32 s s))))))
	37.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s))))))
▶	28.8%	#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	20.8%	#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)))
✓	34.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 947 to 564 computations (40.4% saved)

simplify229.0ms (2.1%)

Memory

6.0MiB live, 355.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

13 146×	`lower-fma.f64`
13 138×	`lower-fma.f32`
4 128×	`lower-*.f64`
4 112×	`lower-*.f32`
1 334×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	436
0	87	414
1	146	408
2	232	395
3	369	389
4	568	389
5	916	389
6	2039	389
7	5174	389
0	8185	375

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

localize140.0ms (1.3%)

Memory

-5.1MiB live, 287.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.8161747660820535	(fma.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 s (.f32 x (*.f32 x #s(literal 1/2 binary32)))))
accuracy	6.1678819427282665	(/.f32 (fma.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 s (.f32 x (.f32 x #s(literal 1/2 binary32))))) (.f32 s (*.f32 s s)))
accuracy	7.8058813653561865	#s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (fma.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 s (.f32 x (.f32 x #s(literal 1/2 binary32))))) (.f32 s (*.f32 s s))))
accuracy	12.579623048535696	#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 x (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 s (.f32 x (.f32 x #s(literal 1/2 binary32))))) (.f32 s (*.f32 s s)))))
accuracy	0.0546875	(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s)
accuracy	0.08413238086616934	(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))
accuracy	0.8261488693924085	(fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))
accuracy	11.983193432341215	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32)))
accuracy	0.0234375	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s)))))
accuracy	0.02734375	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
accuracy	0.07673381324130751	(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))
accuracy	9.177482954579819	#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s)))
accuracy	0	(/.f32 x s)
accuracy	0.10640857924925519	(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
accuracy	11.844245638768195	#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
accuracy	0.02734375	(/.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))))
accuracy	0.0625	(pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))
accuracy	0.08007703648305864	(exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
accuracy	0.08022613086616934	(*.f32 (/.f32 x s) #s(literal -1/2 binary32))

Samples

55.0ms	165×	0	valid
28.0ms	91×	0	exit

Compiler

Compiled 279 to 53 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 21.0ms (32% of total)

ival-div: 19.0ms (28.9% of total)

ival-add: 11.0ms (16.7% of total)

ival-exp: 6.0ms (9.1% of total)

const: 4.0ms (6.1% of total)

ival-pow2: 2.0ms (3% of total)

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

exact: 1.0ms (1.5% of total)

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

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

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

series47.0ms (0.4%)

Memory

-23.8MiB live, 94.8MiB allocated

Counts

22 → 528

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

Calls

132 calls:

Time	Variable		Point	Expression
8.0ms	s	@	-inf	(/ (+ (* x (* (* x x) -1/6)) (* s (* x (* x 1/2)))) (* s (* s s)))
3.0ms	s	@	inf	(pow (exp (* (/ x s) -1/2)) 2)
1.0ms	x	@	0	(/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2)))
1.0ms	x	@	-inf	(/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2)))
1.0ms	x	@	inf	(/ 1 (+ 1 (pow (exp (* (/ x s) -1/2)) 2)))

simplify349.0ms (3.3%)

Memory

13.4MiB live, 400.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 208×	`lower-fma.f64`
15 208×	`lower-fma.f32`
4 890×	`lower-*.f64`
4 890×	`lower-*.f32`
3 022×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	440	5711
1	1365	5215
2	4581	4699
0	8380	4436

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

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

rewrite252.0ms (2.4%)

Memory

16.5MiB live, 408.4MiB allocated

Rules

5 362×	`lower-*.f64`
5 346×	`lower-*.f32`
3 956×	`lower-fma.f64`
3 948×	`lower-fma.f32`
3 366×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	368
0	88	348
1	377	339
2	2657	339
0	8416	331

Stop Event

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

Counts

22 → 426

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

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

eval108.0ms (1%)

Memory: -9.3MiB live, 197.4MiB allocated
Compiler: Compiled 19 323 to 2 112 computations (89.1% saved)

prune262.0ms (2.5%)

Memory

-10.3MiB live, 389.8MiB allocated

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	1 113	15	1 128
Fresh	3	15	18
Picked	3	2	5
Done	0	5	5
Total	1 119	37	1 156

Accuracy

100.0%

Counts

1 156 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.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) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
▶	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
	51.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (.f32 s (.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
	56.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
	60.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s)) s) x) s))))))
	60.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
	59.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))))
✓	58.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	58.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
✓	58.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	56.4%	(/.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 x s) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
	59.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)) s) #s(literal 2 binary32))))
	42.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	56.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
▶	54.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 s s))) #s(literal 2 binary32))))
	24.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 (/.f32 (.f32 x x) (.f32 s s)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) #s(literal -4 binary32)) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal -2 binary32)))))
	60.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s))))
✓	42.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	42.3%	(/.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)))))
	41.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (fma.f32 x (/.f32 #s(literal -2 binary32) x) (/.f32 x s))))))
	20.6%	(/.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 (fma.f32 x (neg.f32 s) (.f32 x (.f32 x #s(literal 1/2 binary32)))) (*.f32 s s)))))
	37.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
	37.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 #s(literal -1 binary32) (.f32 x s)))))))
	37.5%	(/.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 (.f32 x s) x) #s(literal 1/2 binary32) (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s))))))
	37.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) 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))))))
▶	37.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s))))))
	36.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (.f32 (/.f32 (fma.f32 s (.f32 x (.f32 x #s(literal 1/2 binary32))) (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32)))) s) (/.f32 #s(literal 1 binary32) (*.f32 s s))))))
▶	39.0%	(/.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)) #s(approx (/ (+ (* x (* (* x x) -1/6)) (* s (* x (* x 1/2)))) (* s (* s s))) (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s)) (*.f32 s s))))))
	28.8%	#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)))
	28.7%	#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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)))
▶	7.3%	#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
	20.8%	#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)))
✓	34.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 1 225 to 733 computations (40.2% saved)

simplify224.0ms (2.1%)

Memory

7.8MiB live, 266.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

8 982×	`lower-fma.f64`
8 978×	`lower-fma.f32`
2 986×	`lower-*.f64`
2 970×	`lower-*.f32`
1 716×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	692
0	100	617
1	172	617
2	288	609
3	524	589
4	739	589
5	899	589
6	1379	589
7	2711	589
8	5107	589
0	8108	555

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

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

localize226.0ms (2.1%)

Memory

-7.5MiB live, 308.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.6191537880400853	(/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 x x))) s)
accuracy	4.4208052400872715	(/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s)) (*.f32 s s))
accuracy	7.8058813653561865	#s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) #s(approx (/ (+ (* x (* (* x x) -1/6)) (* s (* x (* x 1/2)))) (* s (* s s))) (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s)) (*.f32 s s))))
accuracy	12.579623048535696	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) #s(approx (/ (+ (* x (* (* x x) -1/6)) (* s (* x (* x 1/2)))) (* s (* s s))) (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s)) (*.f32 s s)))))
accuracy	0.078125	(.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 x x)))
accuracy	6.134352193668692	(/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s)))
accuracy	8.555264837035736	#s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s))))
accuracy	12.579623048535696	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s)))))
accuracy	0.8261488693924085	(fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 s s))) #s(literal 2 binary32))
accuracy	2.31961358198757	(/.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 s s))
accuracy	8.4004749964392	#s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 s s)))
accuracy	11.983193432341215	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 s s))) #s(literal 2 binary32)))
accuracy	0	(*.f32 x #s(literal 1/4 binary32))
accuracy	0.026980041389095776	(/.f32 (*.f32 x #s(literal 1/4 binary32)) s)
accuracy	8.299540098818575	#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s))
accuracy	11.844245638768195	#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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 #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))
accuracy	0.02734375	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
accuracy	0.05565133046286384	(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))
accuracy	0.08022613086616934	(*.f32 (/.f32 x s) #s(literal -1/2 binary32))

Samples

83.0ms	165×	0	valid
36.0ms	91×	0	exit

Compiler

Compiled 339 to 60 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 24.0ms (24.9% of total)

ival-div: 22.0ms (22.9% of total)

ival-neg: 17.0ms (17.7% of total)

ival-add: 16.0ms (16.6% of total)

ival-exp: 7.0ms (7.3% of total)

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

const: 4.0ms (4.2% of total)

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

exact: 1.0ms (1% of total)

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

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

series45.0ms (0.4%)

Memory

16.3MiB live, 98.5MiB allocated

Counts

25 → 552

Calls

Call 1

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

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

Calls

138 calls:

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

simplify332.0ms (3.1%)

Memory

-0.2MiB live, 536.4MiB allocated

Algorithm

1×	egg-herbie

Rules

19 312×	`lower-fma.f64`
19 312×	`lower-fma.f32`
4 842×	`lower-+.f64`
4 842×	`lower-+.f32`
3 694×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	298	5404
1	884	5025
2	2946	4815
0	8248	4579

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

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

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

rewrite396.0ms (3.7%)

Memory

-6.1MiB live, 564.3MiB allocated

Rules

6 478×	`lower-*.f64`
6 462×	`lower-*.f32`
5 056×	`lower-fma.f64`
5 052×	`lower-fma.f32`
4 028×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	584
0	100	523
1	432	514
2	3035	506
0	9647	497

Stop Event

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

Counts

25 → 437

Calls

Call 1

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

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

eval80.0ms (0.8%)

Memory: 19.5MiB live, 211.2MiB allocated
Compiler: Compiled 18 330 to 1 534 computations (91.6% saved)

prune258.0ms (2.4%)

Memory

-32.5MiB live, 423.3MiB allocated

Pruning

44 alts after pruning (32 fresh and 12 done)

	Pruned	Kept	Total
New	996	11	1 007
Fresh	4	21	25
Picked	0	5	5
Done	0	7	7
Total	1 000	44	1 044

Accuracy

100.0%

Counts

1 044 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.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) (pow.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 2 binary32))))
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
	51.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (.f32 s (.f32 s s))) #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
	56.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
	60.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s)) s) x) s))))))
	60.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) s))))))
	59.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))))
✓	58.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
✓	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
✓	58.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	59.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)) s) #s(literal 2 binary32))))
	42.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	56.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
✓	54.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 s s))) #s(literal 2 binary32))))
	57.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 s x) s))) #s(literal 2 binary32))))
	54.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)) #s(literal 2 binary32))))
	22.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (/.f32 (fma.f32 x (.f32 #s(approx (/ (+ ( (/ x s) 1/2) -1) s) (.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s)))) (.f32 x #s(approx (/ (+ ( (/ x s) 1/2) -1) s) (.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s)))))) #s(literal -4 binary32)) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (.f32 #s(literal 1/2 binary32) (/.f32 x (.f32 s s)))) #s(literal -2 binary32)))))
	60.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s))))
✓	42.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	42.3%	(/.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)))))
	41.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (fma.f32 x (/.f32 #s(literal -2 binary32) x) (/.f32 x s))))))
	20.6%	(/.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 (fma.f32 x (neg.f32 s) (.f32 x (.f32 x #s(literal 1/2 binary32)))) (*.f32 s s)))))
	37.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
	36.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s))))
	37.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (.f32 x (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s))) (.f32 s s)))))
	37.5%	(/.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 (.f32 x s) x) #s(literal 1/2 binary32) (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s))))))
	37.1%	(/.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 (.f32 x #s(literal -1/6 binary32))) x) (.f32 s (*.f32 s s))))))
	37.9%	(/.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) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s (*.f32 s s))))))
	37.9%	(/.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 (fma.f32 x #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))))) (.f32 s (*.f32 s s))))))
✓	37.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s))))))
	36.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (.f32 (/.f32 (fma.f32 s (.f32 x (.f32 x #s(literal 1/2 binary32))) (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32)))) s) (/.f32 #s(literal 1 binary32) (*.f32 s s))))))
	37.1%	(/.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 #s(literal 1 binary32) (.f32 s (.f32 s s))) (.f32 x (.f32 x (.f32 x #s(literal -1/6 binary32))))))))
	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)) #s(approx (/ (+ (* x (* (* x x) -1/6)) (* s (* x (* x 1/2)))) (* s (* s s))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) s) (.f32 x (.f32 x #s(literal 1/2 binary32)))) (*.f32 s s))))))
✓	39.0%	(/.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)) #s(approx (/ (+ (* x (* (* x x) -1/6)) (* s (* x (* x 1/2)))) (* s (* s s))) (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s)) (*.f32 s s))))))
	38.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) #s(approx (/ (+ (* x (* (* x x) -1/6)) (* s (* x (* x 1/2)))) (* s (* s s))) (/.f32 #s(approx (+ (* x (* x 1/2)) (/ (* -1/6 (* x (* x x))) s)) (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))))) (*.f32 s s))))))
	38.2%	(/.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)) #s(approx (/ (+ (* x (* (* x x) -1/6)) (* s (* x (* x 1/2)))) (* s (* s s))) (.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (.f32 (.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 x s))) s) (/.f32 #s(literal 1 binary32) s))))))
	28.8%	#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)))
	28.7%	#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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)))
✓	7.3%	#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (*.f32 x #s(literal 1/4 binary32)) s)))
	20.8%	#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)))
✓	34.1%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 1 765 to 739 computations (58.1% saved)

regimes113.0ms (1.1%)

Memory

11.8MiB live, 279.2MiB allocated

Counts

58 → 1

Calls

Call 1

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

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

Calls

7 calls:

17.0ms	x
17.0ms	(/.f32 (neg.f32 x) s)
16.0ms	s
16.0ms	(neg.f32 x)
16.0ms	(+.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)

regimes126.0ms (1.2%)

Memory

-6.1MiB live, 170.9MiB allocated

Counts

53 → 1

Calls

Call 1

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

Calls

7 calls:

32.0ms	s
25.0ms	(neg.f32 x)
16.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
14.0ms	x
13.0ms	(/.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)

regimes119.0ms (1.1%)

Memory

0.9MiB live, 198.8MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

38.0ms	(neg.f32 x)
16.0ms	x
15.0ms	s
13.0ms	(/.f32 (neg.f32 x) s)
12.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
93.6%	2	`x`
67.2%	2	`s`
93.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
93.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
93.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
93.6%	2	`(/.f32 (neg.f32 x) s)`
93.6%	2	`(neg.f32 x)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes83.0ms (0.8%)

Memory

23.4MiB live, 217.3MiB allocated

Counts

48 → 2

Calls

Call 1

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

Outputs

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

Calls

6 calls:

16.0ms	(neg.f32 x)
15.0ms	x
14.0ms	(/.f32 (neg.f32 x) s)
13.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
12.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
93.5%	2	`x`
93.5%	2	`(neg.f32 x)`
93.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
93.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
93.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
93.6%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes77.0ms (0.7%)

Memory

-5.1MiB live, 202.2MiB 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 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #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 (/ 1 (exp (/ 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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (.f32 x (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s))) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (fma.f32 x (/.f32 #s(literal -2 binary32) x) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 s x) s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (fma.f32 x (neg.f32 s) (.f32 x (.f32 x #s(literal 1/2 binary32)))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #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 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s))))))
(/.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 #s(literal -1/6 binary32))) x) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 s s))) (.f32 x (.f32 x (.f32 x #s(literal -1/6 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 (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))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) #s(approx (/ (+ (* x (* (* x x) -1/6)) (* s (* x (* x 1/2)))) (* s (* s s))) (/.f32 #s(approx (+ (* x (* x 1/2)) (/ (* -1/6 (* x (* x x))) s)) (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #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 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 #s(literal -1 binary32) (.f32 x s)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s) x) s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) 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 x (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 s (.f32 x (.f32 x #s(literal 1/2 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 (fma.f32 (.f32 (.f32 x s) x) #s(literal 1/2 binary32) (.f32 x (.f32 (.f32 x x) #s(literal -1/6 binary32)))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) #s(approx (/ (+ (* x (* (* x x) -1/6)) (* s (* x (* x 1/2)))) (* s (* s s))) (/.f32 (fma.f32 x (.f32 x #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) 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)) #s(approx (/ (+ (* x (* (* x x) -1/6)) (* s (* x (* x 1/2)))) (* s (* s s))) (/.f32 (fma.f32 x (/.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) s) (.f32 x (.f32 x #s(literal 1/2 binary32)))) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 x x) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s))))

Outputs

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

Calls

6 calls:

15.0ms	(neg.f32 x)
13.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
13.0ms	x
11.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
11.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
91.8%	2	`x`
91.8%	2	`(neg.f32 x)`
92.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
92.6%	2	`(/.f32 (neg.f32 x) s)`
92.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
92.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes70.0ms (0.7%)

Memory

-8.1MiB live, 70.4MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

43.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
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))))
8.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
92.5%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
92.5%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
92.5%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
92.5%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes76.0ms (0.7%)

Memory

-20.3MiB live, 135.4MiB 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 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #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 (/ 1 (exp (/ 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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 s s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (.f32 x (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s))) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (fma.f32 x (/.f32 #s(literal -2 binary32) x) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 s s))) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/48 binary32) (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* x (/ (+ (* (/ x s) 1/2) -1) s)) 2) (/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 s x) s))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (fma.f32 x (neg.f32 s) (.f32 x (.f32 x #s(literal 1/2 binary32)))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #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 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s))))))
(/.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 #s(literal -1/6 binary32))) x) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) (/.f32 (fma.f32 x #s(literal 1/2 binary32) (neg.f32 s)) s)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 s s))) (.f32 x (.f32 x (.f32 x #s(literal -1/6 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 (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))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 x #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) s))) (.f32 s (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ 2 (/ (- (/ (+ (* (/ (* x (* x x)) s) -1/6) (* 1/2 (* x x))) s) x) s)) #s(approx (/ (+ (* x (* (* x x) -1/6)) (* s (* x (* x 1/2)))) (* s (* s s))) (/.f32 #s(approx (+ (* x (* x 1/2)) (/ (* -1/6 (* x (* x x))) s)) (.f32 x (.f32 x (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #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 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 #s(literal -1 binary32) (.f32 x s)))))))

Outputs

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

Calls

6 calls:

25.0ms	(/.f32 (neg.f32 x) s)
11.0ms	x
9.0ms	(neg.f32 x)
9.0ms	(+.f32 #s(literal 1 binary32) (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
90.7%	2	`(neg.f32 x)`
90.7%	2	`x`
91.3%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
91.3%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
91.3%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
91.3%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes29.0ms (0.3%)

Memory

39.3MiB live, 77.2MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
91.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
91.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
91.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
91.2%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes55.0ms (0.5%)

Memory

-38.8MiB live, 80.7MiB 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 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #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 (/ 1 (exp (/ 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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (/.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 s s))) #s(literal 2 binary32))))

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
54.9%	1	`s`
66.2%	2	`x`
66.2%	2	`(neg.f32 x)`
66.5%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
66.5%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
66.5%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
66.5%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes57.0ms (0.5%)

Memory

5.7MiB live, 83.5MiB 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 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #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 (/ 1 (exp (/ 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)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (neg.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 s x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (*.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 (*.f32 x #s(literal 1/2 binary32))) (*.f32 s s)))))

Calls

6 calls:

37.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
5.0ms	x
4.0ms	(neg.f32 x)
4.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
64.2%	2	`x`
64.2%	2	`(neg.f32 x)`
65.1%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
65.1%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
65.1%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
65.1%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes40.0ms (0.4%)

Memory

-5.5MiB live, 117.9MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

13.0ms	x
9.0ms	s
4.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
4.0ms	(neg.f32 x)
4.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
42.3%	1	`s`
49.7%	2	`x`
49.7%	2	`(neg.f32 x)`
50.3%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
50.3%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
50.3%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
50.3%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes12.0ms (0.1%)

Memory

5.6MiB live, 44.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
3.0ms	(/.f32 (neg.f32 x) s)
3.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
2.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes16.0ms (0.2%)

Memory

10.4MiB live, 49.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

4.0ms	(neg.f32 x)
3.0ms	(/.f32 (neg.f32 x) s)
3.0ms	x
2.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
2.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

Accuracy	Segments	Branch
48.6%	2	`x`
48.6%	2	`(neg.f32 x)`
48.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
48.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
48.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
48.7%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes19.0ms (0.2%)

Memory

24.8MiB live, 64.3MiB allocated

Accuracy

Total -8.6b remaining (-40.8%)

Threshold costs -8.6b (-40.8%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
34.1%	1	`s`
34.1%	1	`x`
34.1%	1	`(neg.f32 x)`
34.1%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
34.1%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
34.1%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
34.1%	1	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch2.0ms (0%)

Memory

-36.8MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	30.68214988708496	707.7911376953125

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	21139191496704.0	+inf

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	21139191496704.0	+inf

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	30.68214988708496	707.7911376953125

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	30.68214988708496	707.7911376953125

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.8717186450958252	1.4364852905273438

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	30.68214988708496	707.7911376953125

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2858.003662109375	43134.52734375

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.255601167678833	-0.6448509097099304

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.255601167678833	-0.6448509097099304

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4364852905273438	6.545837879180908

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify44.0ms (0.4%)

Memory

9.7MiB live, 46.7MiB allocated

Algorithm

1×	egg-herbie

Rules

300×	`distribute-lft-neg-in_binary32`
196×	`neg-mul-1_binary32`
192×	`unsub-neg_binary32`
162×	`neg-sub0_binary32`
124×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	647
1	169	647
2	183	647
3	195	647
4	218	647
5	273	647
6	396	647
7	535	647
8	703	647
9	853	647
10	981	647
11	1057	647
12	1100	647
13	1116	647
14	1119	647

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s)) 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)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 39999999311872 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (.f32 (/.f32 x s) #s(literal 1/2 binary32)) 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)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 39999999311872 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) 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 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x x) s) x) 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 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x 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 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 x (.f32 x #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))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #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))) (-.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
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x (neg.f32 s)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s)) 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)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 x (.f32 x #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) s)) s)) s)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 x (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 39999999311872 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (.f32 (/.f32 x s) #s(literal 1/2 binary32)) 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)))))
(if (<=.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 39999999311872 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (.f32 (/.f32 x s) #s(literal 1/2 binary32)) 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)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 39999999311872 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) 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 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s)))))))
(if (<=.f32 (exp.f32 (/.f32 x (neg.f32 s))) #s(literal 39999999311872 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (.f32 (/.f32 x s) #s(literal 1/2 binary32)) x) 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 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x x) s) x) 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 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s)))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 x x) s) x) 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 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x 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 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s)))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x 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 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 s (*.f32 s s)))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 50 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x #s(approx (/ (+ (* (/ x s) 1/2) -1) s) (.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 s s)))) #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 x (.f32 x #s(literal 1/2 binary32))) (*.f32 s s))))))
(if (<=.f32 (/.f32 x (neg.f32 s)) #s(literal 5000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 2) (/.f32 (.f32 x (.f32 x #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))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #s(literal -1 binary32)) s) #s(literal 2 binary32)))))
(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))) (fma.f32 x (/.f32 #s(approx (+ (* (/ x s) 1/2) -1) #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))) (-.f32 #s(literal 2 binary32) (/.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))) (-.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))

soundness2.1s (19.6%)

Memory

25.2MiB live, 1 419.0MiB allocated

Rules

40 054×	`lower-fma.f64`
40 054×	`lower-fma.f32`
15 208×	`lower-fma.f64`
15 208×	`lower-fma.f32`
14 532×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	271
0	59	254
1	255	254
2	1848	254
0	8827	254
0	74	584
0	100	523
1	432	514
2	3035	506
0	9647	497
0	140	758
1	378	748
2	1147	742
3	3893	722
0	8438	682
0	8	27
0	13	27
1	48	27
2	255	27
3	2101	27
0	8465	26
0	440	5711
1	1365	5215
2	4581	4699
0	8380	4436
0	383	4835
1	1188	4468
2	3985	4320
0	8302	4119

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

Compiler

Compiled 751 to 346 computations (53.9% saved)

preprocess62.0ms (0.6%)

Memory: -8.7MiB live, 224.1MiB allocated
Compiler: Compiled 786 to 202 computations (74.3% 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%)

analyze43.0ms (0.4%)

sample1.3s (12.6%)

explain134.0ms (1.3%)

preprocess30.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize35.0ms (0.3%)

series10.0ms (0.1%)

simplify733.0ms (6.9%)

rewrite638.0ms (6%)

eval242.0ms (2.3%)

prune119.0ms (1.1%)

simplify189.0ms (1.8%)

localize93.0ms (0.9%)

series110.0ms (1%)

simplify272.0ms (2.5%)

rewrite328.0ms (3.1%)

eval123.0ms (1.1%)

prune192.0ms (1.8%)

simplify229.0ms (2.1%)

localize140.0ms (1.3%)

series47.0ms (0.4%)

simplify349.0ms (3.3%)

rewrite252.0ms (2.4%)

eval108.0ms (1%)

prune262.0ms (2.5%)

simplify224.0ms (2.1%)

localize226.0ms (2.1%)

series45.0ms (0.4%)

simplify332.0ms (3.1%)

rewrite396.0ms (3.7%)

eval80.0ms (0.8%)

prune258.0ms (2.4%)

regimes113.0ms (1.1%)

regimes126.0ms (1.2%)

regimes119.0ms (1.1%)

regimes83.0ms (0.8%)

regimes77.0ms (0.7%)

regimes70.0ms (0.7%)

regimes76.0ms (0.7%)

regimes29.0ms (0.3%)

regimes55.0ms (0.5%)

regimes57.0ms (0.5%)

regimes40.0ms (0.4%)

regimes12.0ms (0.1%)

regimes16.0ms (0.2%)

regimes19.0ms (0.2%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify44.0ms (0.4%)

soundness2.1s (19.6%)

preprocess62.0ms (0.6%)

end0.0ms (0%)

Profiling

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