Metrics for Logistic function

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze38.0ms (0.4%)

Memory

-18.1MiB live, 102.3MiB 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)

sample1.1s (12.3%)

Memory

-161.1MiB live, 2 372.7MiB allocated

Samples

640.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 465.0ms

ival-div: 126.0ms (27.1% of total)

const: 111.0ms (23.9% of total)

ival-exp: 69.0ms (14.8% of total)

ival-<=: 53.0ms (11.4% of total)

ival-neg: 42.0ms (9% of total)

ival-add: 41.0ms (8.8% of total)

ival-and: 11.0ms (2.4% of total)

exact: 10.0ms (2.2% of total)

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

Bogosity

explain89.0ms (1%)

Memory

-13.7MiB live, 225.0MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`s`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
4	(-2.293166871669694e-11 1.0421484096696798e-13)	-	`(exp.f32 (/.f32 (neg.f32 x) s))`
0	-	-	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
0	-	-	`(neg.f32 x)`
0	-	-	`(/.f32 (neg.f32 x) s)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 x) s))`	sensitivity	4	0

Confusion

	Predicted +	Predicted -
+	0	0
-	4	252

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	4	0	252

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

29.0ms

512×

valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

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

ival-div: 7.0ms (40.8% of total)

ival-exp: 4.0ms (23.3% of total)

ival-neg: 3.0ms (17.5% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess32.0ms (0.3%)

Memory

25.3MiB live, 64.7MiB 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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify8.0ms (0.1%)

Memory

-25.9MiB live, 13.1MiB 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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s

localize24.0ms (0.3%)

Memory

28.3MiB live, 66.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f32 x)
accuracy	0.03515625	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.03707755115753779	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.0390625	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Samples

15.0ms

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 (35.1% of total)

ival-exp: 2.0ms (23.4% of total)

ival-add: 1.0ms (11.7% of total)

ival-neg: 1.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-7.4MiB live, 31.4MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

simplify264.0ms (2.9%)

Memory

5.2MiB live, 359.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite226.0ms (2.5%)

Memory

-18.2MiB live, 419.9MiB 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
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (fma.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32)) (+.f32 (pow.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (fma.f32 (.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (expm1.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s)))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (neg.f32 (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal -1 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))))) #s(literal -1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)) (fma.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))))) (/.f32 (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))))) #s(literal 1 binary32)) (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 6 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32)))))) (/.f32 (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 (neg.f32 x) s) #s(literal 4 binary32))) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal 1 binary32)) (fma.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
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(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 s (neg.f32 x))) (*.f32 s (neg.f32 s)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 s x)) (*.f32 s s))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 s x)) s) (.f32 s (/.f32 s x)))
(/.f32 (neg.f32 (.f32 x x)) (.f32 s x))
(/.f32 (/.f32 #s(literal -1 binary32) s) (neg.f32 (/.f32 #s(literal -1 binary32) x)))
(/.f32 (.f32 (.f32 x x) (neg.f32 x)) (neg.f32 (.f32 (neg.f32 s) (.f32 x x))))
(/.f32 (.f32 (.f32 x x) (neg.f32 x)) (neg.f32 (.f32 (.f32 x x) (neg.f32 s))))
(/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 s (.f32 x x)))
(/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s))
(/.f32 (.f32 (.f32 x x) x) (neg.f32 (.f32 (.f32 x x) s)))
(/.f32 (.f32 (.f32 x x) x) (neg.f32 (.f32 s (.f32 x x))))
(/.f32 (.f32 (.f32 x x) x) (.f32 (neg.f32 s) (.f32 x x)))
(/.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) (neg.f32 s)))
(/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal -1 binary32) (/.f32 s x))
(/.f32 (neg.f32 x) s)
(/.f32 x (neg.f32 s))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 s) x))
(-.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 (/.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 (.f32 x x) x) (.f32 (.f32 s 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 (.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 (.f32 #s(literal 0 binary32) s) (.f32 s s)) (/.f32 (.f32 s x) (.f32 s s)))
(-.f32 (/.f32 (.f32 #s(literal 0 binary32) (/.f32 s x)) (.f32 s (/.f32 s x))) (/.f32 s (*.f32 s (/.f32 s x))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 s x)) (/.f32 (.f32 x x) (*.f32 s x)))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 s (.f32 x x))) (/.f32 (.f32 (.f32 x x) x) (.f32 s (.f32 x x))))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) x) s) (/.f32 x s))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 x x)) s) (/.f32 x s))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (exp.f32 (/.f32 x s)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (/.f32 x s))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (*.f32 (neg.f32 x) x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) x #s(literal 0 binary32))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (neg.f32 x)) #s(literal 0 binary32))
(fma.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) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x))) (/.f32 (pow.f32 s #s(literal -1/2 binary32)) (*.f32 x x)) #s(literal 0 binary32))
(fma.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)) #s(literal 0 binary32))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x))) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))) (/.f32 (/.f32 #s(literal -1 binary32) s) x) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x))) (/.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 (.f32 (.f32 x x) (neg.f32 x)) x) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x x)))) (/.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (.f32 x x) x))) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) s) (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) s) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 s)) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) s) #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (neg.f32 x) x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (neg.f32 s)) #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (neg.f32 x)) (/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) x) (/.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 s (neg.f32 (*.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 (neg.f32 s) (.f32 (.f32 x x) x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s) #s(literal 0 binary32))
(fma.f32 (/.f32 x #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1/2 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) (log.f32 (exp.f32 x)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 0 binary32))
(fma.f32 (/.f32 x s) (log.f32 (exp.f32 #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32) (/.f32 (neg.f32 x) s))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -1 binary32) x)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 x) s) (log.f32 (E.f32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s))) #s(literal 0 binary32))
(fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32))
(fma.f32 x (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 0 binary32))
(fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 0 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 (neg.f32 s) x))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 s x) (/.f32 s x)) #s(literal -1/2 binary32))
(pow.f32 (/.f32 (neg.f32 s) x) #s(literal -1 binary32))
(pow.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32))
(+.f32 (log.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))))) (log.f32 (exp.f32 (.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -2 binary32))))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 0 binary32)) (/.f32 (neg.f32 x) s))
(+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (neg.f32 s) x)) #s(literal -1 binary32)))
(neg.f32 (log.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))))
(neg.f32 (/.f32 x s))
(log.f32 (exp.f32 (neg.f32 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))
(.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x)))
(.f32 (/.f32 (.f32 (*.f32 x x) (neg.f32 x)) (neg.f32 x)) (/.f32 #s(literal -1 binary32) x))
(.f32 (/.f32 (.f32 (*.f32 x x) (neg.f32 x)) x) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(.f32 (neg.f32 (.f32 x x)) (/.f32 #s(literal 1 binary32) x))
(.f32 (.f32 (.f32 x x) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(*.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)))
(*.f32 #s(literal -1 binary32) x)
(*.f32 (neg.f32 x) #s(literal 1 binary32))
(*.f32 x (log.f32 (exp.f32 #s(literal -1 binary32))))
(*.f32 x #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 x))
(/.f32 (fma.f32 (.f32 x x) (neg.f32 x) #s(literal 0 binary32)) (fma.f32 x x (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 x) #s(literal 0 binary32)))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 x x)))) x)
(/.f32 (neg.f32 (.f32 (neg.f32 (.f32 x x)) #s(literal 1 binary32))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (*.f32 x x))) (neg.f32 x))
(/.f32 (.f32 (neg.f32 (.f32 x x)) #s(literal 1 binary32)) x)
(/.f32 (neg.f32 (*.f32 x x)) x)
(/.f32 (.f32 (.f32 x x) (neg.f32 x)) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x x) #s(literal 0 binary32))))
(/.f32 (.f32 (.f32 x x) (neg.f32 x)) (neg.f32 (neg.f32 (*.f32 x x))))
(/.f32 (.f32 (.f32 x x) (neg.f32 x)) (*.f32 x x))
(/.f32 (.f32 (.f32 x x) x) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 x x) #s(literal 0 binary32)))))
(/.f32 (.f32 (.f32 x x) x) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (neg.f32 (*.f32 x x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 (.f32 x x)) (.f32 (*.f32 x x) x))))
(/.f32 #s(literal 1 binary32) (/.f32 x (neg.f32 (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (.f32 x x)) (.f32 (*.f32 x x) x)))
(-.f32 (/.f32 #s(literal 0 binary32) x) x)
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x x)) x)
(-.f32 #s(literal 0 binary32) (log.f32 (exp.f32 x)))
(-.f32 #s(literal 0 binary32) x)
(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (neg.f32 (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)) #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (neg.f32 x)) (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) x) (/.f32 #s(literal 1 binary32) x) #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) #s(literal 1 binary32)) (/.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 (.f32 x x) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 (exp.f32 x)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32))
(fma.f32 (neg.f32 x) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 x (log.f32 (exp.f32 #s(literal -1 binary32))) #s(literal 0 binary32))
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 x) #s(literal 0 binary32))
(pow.f32 (/.f32 x (neg.f32 (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (neg.f32 (.f32 x x)) (.f32 (*.f32 x x) x)) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(+.f32 (neg.f32 x) #s(literal 0 binary32))
(neg.f32 (log.f32 (exp.f32 x)))
(neg.f32 x)

eval82.0ms (0.9%)

Memory: 7.1MiB live, 240.8MiB allocated
Compiler: Compiled 20 786 to 2 698 computations (87% saved)

prune135.0ms (1.5%)

Memory

2.2MiB live, 371.7MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	803	15	818
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	803	16	819

Accuracy

100.0%

Counts

819 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
▶	51.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	99.8%	(/.f32 #s(literal 1 binary32) (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
	53.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (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)) x #s(literal 2 binary32))))
	52.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
▶	53.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
	37.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	66.9%	(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
▶	99.8%	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
▶	23.4%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
	28.5%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
▶	35.7%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 453 to 310 computations (31.6% saved)

simplify119.0ms (1.3%)

Memory

22.5MiB live, 218.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))
cost-diff	0	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))))
cost-diff	640	(/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
cost-diff	64	(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
cost-diff	320	(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32)))
cost-diff	0	(fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32))
cost-diff	0	(/.f32 x s)
cost-diff	0	(fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
cost-diff	0	(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff	0	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
cost-diff	0	(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
cost-diff	6016	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

Rules

7 728×	`lower-fma.f64`
7 722×	`lower-fma.f32`
4 906×	`lower-*.f64`
4 890×	`lower-*.f32`
1 568×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	372
0	76	347
1	137	339
2	338	312
3	895	312
4	2787	312
5	4979	312
0	8530	298

Stop Event

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

Calls

Call 1

Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
(fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32))
(*.f32 #s(literal -1/48 binary32) x)
#s(literal -1/48 binary32)
(/.f32 x (*.f32 s s))
(*.f32 s s)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
#s(literal 2 binary32)
(/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s)
(-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s))
x
(/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)
(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32)))
#s(literal -1/6 binary32)
(.f32 (.f32 (/.f32 x s) x) x)
(*.f32 (/.f32 x s) x)
(/.f32 x s)
s
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s))))
(exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))
(/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s))
(.f32 (.f32 x x) (neg.f32 x))
(*.f32 x x)
x
(neg.f32 x)
(.f32 (.f32 x x) s)
s

Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (neg.f32 x) s)
(neg.f32 x)
x
s
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 x (.f32 s s)) (.f32 #s(literal -1/48 binary32) x) #s(literal 1/4 binary32)) (/.f32 x s) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(fma.f32 (fma.f32 (/.f32 x (.f32 s s)) (.f32 #s(literal -1/48 binary32) x) #s(literal 1/4 binary32)) (/.f32 x s) #s(literal 1/2 binary32))
(/.f32 x s)
x
s
(fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32))
(fma.f32 (/.f32 x (.f32 s s)) (.f32 #s(literal -1/48 binary32) x) #s(literal 1/4 binary32))
(*.f32 #s(literal -1/48 binary32) x)
#s(literal -1/48 binary32)
(/.f32 x (*.f32 s s))
(*.f32 s s)
#s(literal 1/4 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s) #s(literal 1 binary32)) #s(literal 2 binary32))))
#s(literal 1 binary32)
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s)))
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s) #s(literal 1 binary32)) #s(literal 2 binary32)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
(fma.f32 (/.f32 x s) (-.f32 (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s) #s(literal 1 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s)
(/.f32 (-.f32 x (.f32 (.f32 x x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))) s)
(-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s))
(-.f32 x (.f32 (.f32 x x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)))
x
(/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)
(.f32 (.f32 x x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))
(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32)))
(.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (.f32 x x))
#s(literal -1/6 binary32)
(.f32 (.f32 (/.f32 x s) x) x)
(*.f32 (/.f32 x s) x)
(/.f32 x s)
s
(.f32 (.f32 x x) #s(literal 1/2 binary32))
(*.f32 x x)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x 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) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s))
(/.f32 (neg.f32 x) s)
(.f32 (.f32 x x) (neg.f32 x))
(.f32 (.f32 (neg.f32 x) x) x)
(*.f32 x x)
x
(neg.f32 x)
(.f32 (.f32 x x) s)
s

localize143.0ms (1.6%)

Memory

-30.3MiB live, 203.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))))
accuracy	0.07421875	(.f32 (.f32 x x) (neg.f32 x))
accuracy	2.5642013966071273	(.f32 (.f32 x x) s)
accuracy	11.74770417379001	(/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s))
accuracy	0.08203125	(*.f32 (/.f32 x s) x)
accuracy	2.0772633733537713	(/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)
accuracy	4.729856971074003	(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32)))
accuracy	14.389551462547134	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s)))
accuracy	0.23046875	(*.f32 #s(literal -1/48 binary32) x)
accuracy	0.8555143106492828	(fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32))
accuracy	1.4294304449080215	(/.f32 x (*.f32 s s))
accuracy	14.387381922673551	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
accuracy	11.674703454549398	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy	0	(neg.f32 x)
accuracy	0.03707755115753779	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.04879630115753779	(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
accuracy	0.9434849609777776	(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))

Samples

52.0ms	180×	0	valid
30.0ms	76×	1	exit

Compiler

Compiled 324 to 42 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 15.0ms (22.9% of total)

ival-div: 13.0ms (19.9% of total)

const: 10.0ms (15.3% of total)

ival-add: 9.0ms (13.8% of total)

adjust: 6.0ms (9.2% of total)

ival-exp: 6.0ms (9.2% of total)

ival-sub: 2.0ms (3.1% of total)

ival-log1p: 2.0ms (3.1% of total)

ival-neg: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series221.0ms (2.4%)

Memory

-2.4MiB live, 132.3MiB allocated

Counts

24 → 540

Calls

Call 1

Inputs
#s(alt (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (patch (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #<representation binary32>) () ())
#s(alt (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())
#s(alt (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (patch (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())
#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s 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 (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) (patch (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) (patch (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s)) (patch (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s)))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)) (patch (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s))))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s))) (patch (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s))) #<representation binary32>) () ())
#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())
#s(alt (/.f32 x (.f32 s s)) (patch (/.f32 x (.f32 s s)) #<representation binary32>) () ())
#s(alt (.f32 #s(literal -1/48 binary32) x) (patch (.f32 #s(literal -1/48 binary32) x) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) (patch (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 x s) x) (patch (.f32 (/.f32 x s) x) #<representation binary32>) () ())
#s(alt (.f32 (.f32 x x) s) (patch (.f32 (.f32 x x) s) #<representation binary32>) () ())
#s(alt (.f32 (.f32 x x) (neg.f32 x)) (patch (.f32 (.f32 x x) (neg.f32 x)) #<representation binary32>) () ())

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

Calls

135 calls:

Time	Variable		Point	Expression
104.0ms	s	@	0	(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
32.0ms	x	@	inf	(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
21.0ms	x	@	-inf	(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
2.0ms	x	@	0	(exp (neg (log (+ 1 (exp (/ (neg x) s))))))
1.0ms	x	@	inf	(+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2))

simplify188.0ms (2.1%)

Memory

5.8MiB live, 235.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 924×	`lower-fma.f64`
11 924×	`lower-fma.f32`
5 798×	`lower-*.f64`
5 798×	`lower-*.f32`
2 350×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	447	5479
1	1347	4635
2	4670	4502
0	8760	4199

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

Inputs
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s)))))
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5))))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log (+ 1 (exp (* -1 (/ x s)))))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2))))
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3)))))
(exp (neg (log 2)))
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s)))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2))
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log (+ 1 (exp (* -1 (/ x s))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s))))
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(* -1 (log 2))
(- (* 1/2 (/ x s)) (log 2))
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2))
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log (+ 1 (exp (* -1 (/ x s)))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))
(log 2)
(+ (log 2) (* -1/2 (/ x s)))
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)))
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
(exp (* -1 (/ x s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3)))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3))))))
(* -1/48 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
(/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
(+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s)))
(/ 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)
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2)))))
(* -1/48 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
(/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
1/4
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* (pow x 2) (+ 1/2 (* -1/6 (/ x s))))
(* -1/6 (/ (pow x 3) s))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ (pow x 3) s))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ (pow x 3) s))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) s)
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
(+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(- (+ 2 (* -1/6 (/ (pow x 3) (pow s 3)))) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow x 3) s)) (* -1/2 (pow x 2))) s)) (* -1 x)) s)))
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 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
(* -1 (/ x s))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
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)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(/ x (pow s 2))
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* -1/48 x)
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(/ (pow x 2) s)
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* s (pow x 2))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))

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

rewrite205.0ms (2.2%)

Memory

31.2MiB live, 215.1MiB allocated

Rules

4 744×	`lower-*.f64`
4 728×	`lower-*.f32`
4 354×	`lower-/.f64`
4 338×	`lower-/.f32`
3 260×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	287
0	76	270
1	280	240
2	2158	240
0	8858	240

Stop Event

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

Counts

24 → 715

Calls

Call 1

Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
(/.f32 x s)
(fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32))
(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s)))
(/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))))
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s))))
(exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))
(neg.f32 x)
(/.f32 x (*.f32 s s))
(*.f32 #s(literal -1/48 binary32) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)
(*.f32 (/.f32 x s) x)
(.f32 (.f32 x x) s)
(.f32 (.f32 x x) (neg.f32 x))

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

eval212.0ms (2.3%)

Memory: 0.4MiB live, 272.8MiB allocated
Compiler: Compiled 29 128 to 3 468 computations (88.1% saved)

prune297.0ms (3.2%)

Memory

-13.1MiB live, 503.9MiB allocated

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	1 333	20	1 353
Fresh	2	8	10
Picked	1	4	5
Done	0	1	1
Total	1 336	33	1 369

Accuracy

100.0%

Counts

1 369 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
	89.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) x)) (/.f32 (.f32 x x) (.f32 s x)))))
▶	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓	51.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	99.8%	(/.f32 #s(literal 1 binary32) (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
	49.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 x (.f32 (.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
	50.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
	52.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
▶	54.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) x) s)) s))))
	37.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	53.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (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)) x #s(literal 2 binary32))))
	52.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
	53.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 x (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) x) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
✓	53.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
▶	53.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) s) x) x) x) (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))))
	53.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) (.f32 (*.f32 x x) x))) s)) s))))
	53.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) s))))
	51.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
	50.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 s s)))) s))))
	52.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 s s)))) #s(literal -1/6 binary32)))) s))))
	32.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 (*.f32 s s) s)))))
	31.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 s s) x)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x)))))
	33.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)))))
	66.9%	(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
▶	28.5%	#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
▶	26.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
✓	23.4%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
	18.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (/.f32 (.f32 x (.f32 (.f32 #s(literal -1/48 binary32) x) x)) (.f32 (*.f32 s s) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
	4.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* -1/48 x) (/ x (* s s))) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
✓	35.7%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 1 225 to 764 computations (37.6% saved)

simplify178.0ms (1.9%)

Memory

7.2MiB live, 164.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	64	(-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) s) x) x) x) (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s))
cost-diff	64	(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) s) x) x) x) (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))
cost-diff	160	(*.f32 (/.f32 #s(literal 1 binary32) s) x)
cost-diff	320	(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) s) x) x) x) (.f32 (*.f32 x x) #s(literal 1/2 binary32)))
cost-diff	0	#s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) x) s)) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) x) s)) s))))
cost-diff	64	(-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) x) s))
cost-diff	64	(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) x) s)) s))
cost-diff	0	(/.f32 x s)
cost-diff	0	(fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
cost-diff	192	(fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))
cost-diff	0	(/.f32 x s)
cost-diff	0	(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
cost-diff	0	(exp.f32 #s(literal -1 binary32))
cost-diff	0	(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
cost-diff	3168	(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))

Rules

14 586×	`lower-fma.f64`
14 576×	`lower-fma.f32`
4 546×	`lower-*.f64`
4 530×	`lower-*.f32`
2 322×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	503
0	90	475
1	167	431
2	409	426
3	1663	424
4	3413	424
5	7805	424
0	8297	406

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

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

localize250.0ms (2.7%)

Memory

15.2MiB live, 255.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3273935441162997	(*.f32 (/.f32 #s(literal 1 binary32) s) x)
accuracy	2.0850758733537713	(/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) s) x) x) x) (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)
accuracy	4.772825721074003	(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) s) x) x) x) (.f32 (*.f32 x x) #s(literal 1/2 binary32)))
accuracy	15.13175726519754	#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) s) x) x) x) (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)))
accuracy	0.109375	(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
accuracy	0.38239533723585645	(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	2.0850758733537713	(/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) x) s)
accuracy	15.13175726519754	#s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) x) s)) s)))
accuracy	0.08269501953688403	(fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32))
accuracy	0.24772598638627302	(/.f32 (*.f32 #s(literal -1/48 binary32) x) s)
accuracy	0.32421875	(*.f32 #s(literal -1/48 binary32) x)
accuracy	23.58472035144539	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
accuracy	0	(/.f32 x s)
accuracy	0.19041063915653805	(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	22.872839342521896	#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
accuracy	0	(exp.f32 #s(literal -1 binary32))
accuracy	0.030292529305326048	(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))
accuracy	0.03515625	(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))
accuracy	0.0390625	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))

Samples

169.0ms

256×

valid

Compiler

Compiled 410 to 55 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-add: 75.0ms (50% of total)

ival-mult: 32.0ms (21.3% of total)

ival-div: 19.0ms (12.7% of total)

ival-exp: 7.0ms (4.7% of total)

const: 6.0ms (4% of total)

ival-pow: 5.0ms (3.3% of total)

ival-sub: 4.0ms (2.7% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series59.0ms (0.6%)

Memory

18.7MiB live, 89.5MiB allocated

Counts

25 → 564

Calls

Call 1

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

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

Calls

141 calls:

Time	Variable		Point	Expression
21.0ms	s	@	inf	(/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)
0.0ms	x	@	-inf	(* (+ (* -1/6 (/ x s)) 1/2) x)
0.0ms	x	@	-inf	(/ (* -1/48 x) s)
0.0ms	x	@	inf	(/ (* -1/48 x) s)
0.0ms	s	@	-inf	(/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)

simplify222.0ms (2.4%)

Memory

-12.6MiB live, 228.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 218×	`lower-fma.f64`
14 218×	`lower-fma.f32`
5 100×	`lower-*.f64`
5 100×	`lower-*.f32`
3 394×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	5538
1	1001	5404
2	3027	5162
0	8347	4892

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 558

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

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

rewrite189.0ms (2.1%)

Memory

18.5MiB live, 331.4MiB allocated

Rules

5 266×	`lower-*.f64`
5 250×	`lower-*.f32`
3 470×	`lower-/.f64`
3 452×	`lower-/.f32`
2 736×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	360
0	88	348
1	388	311
2	3391	308
0	8911	305

Stop Event

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

Counts

25 → 579

Calls

Call 1

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

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

eval190.0ms (2.1%)

Memory: -45.3MiB live, 308.7MiB allocated
Compiler: Compiled 33 603 to 3 365 computations (90% saved)

prune404.0ms (4.4%)

Memory

29.6MiB live, 456.5MiB allocated

Pruning

37 alts after pruning (29 fresh and 8 done)

	Pruned	Kept	Total
New	1 356	17	1 373
Fresh	11	12	23
Picked	2	3	5
Done	0	5	5
Total	1 369	37	1 406

Accuracy

100.0%

Counts

1 406 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
▶	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x))))
	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓	51.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	99.8%	(/.f32 #s(literal 1 binary32) (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
	51.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s)) x) s))))
	37.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	50.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
	22.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 (.f32 x x) s)) (.f32 (neg.f32 s) (.f32 (.f32 (neg.f32 x) x) x))) (.f32 (neg.f32 s) (.f32 (*.f32 x x) s))) #s(literal 1/2 binary32)) x) x) s)) s))))
	54.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)) x) x) s)) s))))
▶	42.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
	53.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) x) s)) s))))
▶	54.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))) s))))
	52.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 s s)))) #s(literal -1/6 binary32)))) s))))
	50.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s))) s))))
	52.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) (.f32 #s(literal 1/6 binary32) (.f32 x (.f32 x (/.f32 x (.f32 s s)))))) s))))
▶	32.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))) (.f32 (*.f32 s s) s)))))
	31.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 s s) x)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x)))))
	34.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 (*.f32 s s) s)))) #s(literal -1/6 binary32)))))
	53.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (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)) x #s(literal 2 binary32))))
	52.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
✓	53.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
	53.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) (.f32 (*.f32 x x) x))) s)) s))))
	51.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
	50.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 s s)))) s))))
	66.9%	(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
	28.5%	#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/2 binary32)))
✓	28.5%	#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
▶	28.5%	#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
✓	26.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
✓	23.4%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
	18.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (/.f32 (.f32 x (.f32 (.f32 #s(literal -1/48 binary32) x) x)) (.f32 (*.f32 s s) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
	4.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ (* -1/48 x) s) (/ x s)) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
✓	35.7%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 1 366 to 855 computations (37.4% saved)

simplify150.0ms (1.6%)

Memory

-21.0MiB live, 149.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	64	(-.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)))
cost-diff	64	(-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s))
cost-diff	160	(.f32 (.f32 #s(literal -1/6 binary32) x) (*.f32 #s(literal -1/6 binary32) x))
cost-diff	192	(/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)
cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))) s))
cost-diff	0	#s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))) s))))
cost-diff	64	(-.f32 x (.f32 (/.f32 x s) (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)))
cost-diff	0	(/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))) (.f32 (*.f32 s s) s))
cost-diff	0	#s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))) (.f32 (*.f32 s s) s)))
cost-diff	0	#s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))) (.f32 (*.f32 s s) s))))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))) (.f32 (*.f32 s s) s)))))
cost-diff	0	(/.f32 #s(literal 1 binary32) s)
cost-diff	0	(fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
cost-diff	160	(*.f32 (/.f32 #s(literal 1 binary32) s) x)
cost-diff	0	(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x))))
cost-diff	160	(*.f32 (/.f32 #s(literal 1 binary32) s) x)
cost-diff	3168	(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x))

Rules

7 344×	`lower-fma.f64`
7 338×	`lower-fma.f32`
5 576×	`lower-*.f64`
5 550×	`lower-*.f32`
1 598×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	787
0	105	767
1	214	697
2	589	680
3	2618	680
4	5823	680
0	8271	647

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

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

localize232.0ms (2.5%)

Memory

13.2MiB live, 428.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.9759286311603854	(/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)
accuracy	4.580630700501227	(/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s))
accuracy	14.94116900000445	#s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s)))
accuracy	15.160658056406245	(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))))
accuracy	0.109375	(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)
accuracy	0.11556625976844202	(.f32 (/.f32 x s) (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))
accuracy	0.37848908723585645	(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	14.94116900000445	#s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))) s)))
accuracy	0.234375	(fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s))
accuracy	5.989756120169688	(/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))) (.f32 (*.f32 s s) s))
accuracy	7.471853849121155	#s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))) (.f32 (*.f32 s s) s)))
accuracy	14.94116900000445	#s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))) (.f32 (*.f32 s s) s))))
accuracy	0	(/.f32 #s(literal 1 binary32) s)
accuracy	0.18650438915653805	(fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))
accuracy	0.3195810441162997	(*.f32 (/.f32 #s(literal 1 binary32) s) x)
accuracy	22.634713179430403	#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
accuracy	0.024101269536884032	(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x))
accuracy	0.03125	(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x)))
accuracy	0.0390625	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x))))
accuracy	0.3195810441162997	(*.f32 (/.f32 #s(literal 1 binary32) s) x)

Samples

140.0ms	252×	0	valid
7.0ms	4×	5	exit

Compiler

Compiled 597 to 58 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 49.0ms (39.2% of total)

ival-div: 23.0ms (18.4% of total)

ival-add: 19.0ms (15.2% of total)

ival-exp: 11.0ms (8.8% of total)

ival-sub: 9.0ms (7.2% of total)

ival-pow: 5.0ms (4% of total)

const: 4.0ms (3.2% of total)

adjust: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series49.0ms (0.5%)

Memory

14.9MiB live, 133.9MiB allocated

Counts

26 → 600

Calls

Call 1

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

Outputs
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor inf s) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor inf s) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<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 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<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 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor -inf s) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor -inf s) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) (taylor -inf s) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<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 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ x s))) (taylor 0 x) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) (taylor 0 x) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<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 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) (patch (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor -inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor -inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor -inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor -inf s) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor -inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor -inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor -inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor -inf x) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) s) x) (patch (.f32 (/.f32 #s(literal 1 binary32) s) x) #<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 -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)))) #<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 -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)))) #<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 -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)))) #<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 -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)))) #<representation binary32>) () ())) ())
#s(alt 1/2 (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)))) #<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) (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) s) x)))) #<representation binary32>) () ())) ())
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#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor -inf x) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor -inf x) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor -inf x) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor -inf x) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor 0 s) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor 0 s) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor 0 s) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor 0 s) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor inf s) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor inf s) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor inf s) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor inf s) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor -inf s) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor -inf s) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor -inf s) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())
#s(alt (* 1/36 (/ (pow x 2) (pow s 2))) (taylor -inf s) (#s(alt (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) (patch (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s)) #<representation binary32>) () ())) ())

Calls

150 calls:

Time	Variable		Point	Expression
4.0ms	s	@	0	(/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)
1.0ms	x	@	0	(/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)
1.0ms	s	@	inf	(/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)
1.0ms	x	@	0	(/ (* x (* x (+ (* -1/6 x) (* 1/2 s)))) (* (* s s) s))
1.0ms	x	@	inf	(/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)

simplify192.0ms (2.1%)

Memory

21.1MiB live, 333.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 678×	`lower-fma.f64`
12 678×	`lower-fma.f32`
4 690×	`lower-*.f64`
4 690×	`lower-*.f32`
3 218×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	344	6130
1	1032	5847
2	3071	5631
0	8229	5346

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 594

Calls

Call 1

Inputs
(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
(+ 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)))
(/ 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 (+ 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 (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 (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))))
1/2
(+ 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)))
(* 1/4 (/ 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)))
1/2
(+ 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 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
(/ 1 s)
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 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 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
(- (+ 2 (* -1/6 (/ (pow x 3) (pow s 3)))) (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ x s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow x 3) s)) (* -1/2 (pow x 2))) s)) (* -1 x)) s)))
(* 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))
x
(* x (+ 1 (* -1/2 (/ x s))))
(* x (+ 1 (* x (- (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))
(* x (+ 1 (* x (- (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))
(* 1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1/2 (* s x))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1/2 (* s x))))
(* 1/6 (/ (pow x 3) (pow s 2)))
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(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2))))))
(* 1/6 (/ (pow x 3) (pow s 2)))
(/ (- (* -1/2 (* s (pow x 2))) (* -1/6 (pow x 3))) (pow s 2))
(/ (- (* s (- (* s x) (* 1/2 (pow x 2)))) (* -1/6 (pow x 3))) (pow s 2))
(/ (- (* s (- (* s x) (* 1/2 (pow x 2)))) (* -1/6 (pow x 3))) (pow s 2))
x
(+ x (* -1/2 (/ (pow x 2) s)))
(- (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) (* 1/2 (/ (pow x 2) s)))
(- (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) (* 1/2 (/ (pow x 2) s)))
x
(+ x (* -1/2 (/ (pow x 2) s)))
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(+ x (* -1 (/ (- (* -1/6 (/ (pow x 3) s)) (* -1/2 (pow x 2))) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
(+ 1 (exp (* -1 (/ x s))))
2
(+ 2 (* -1 (/ x s)))
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(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow x 3) (pow s 3)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3))
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))))) (pow s 3))
2
(+ 2 (* -1 (/ x s)))
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s))
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2
(+ 2 (* -1 (/ x s)))
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(+ 2 (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow x 3) s)) (* -1/2 (pow x 2))) s)) (* -1 x)) s)))
(* 1/2 (/ (pow x 2) s))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* (pow x 2) (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2)))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))
(* -1/6 (/ (pow x 3) (pow s 2)))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 2))
(* 1/2 (/ (pow x 2) s))
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)
(* 1/2 (/ (pow x 2) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
x
(* x (+ 1 (* -1/2 (/ x s))))
(* x (+ 1 (* x (- (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))
(* x (+ 1 (* x (- (* 1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))
(* 1/6 (/ (pow x 3) (pow s 2)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x)))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1/2 (* s x))))
(* (pow x 3) (- (+ (* -1 (/ (+ (* -9/2 s) (* 9/2 s)) (pow x 3))) (+ (* 1/6 (/ 1 (pow s 2))) (/ 1 (pow x 2)))) (/ 1/2 (* s x))))
(* 1/6 (/ (pow x 3) (pow s 2)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (* s x))) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (+ (* -9/2 (/ s x)) (* 9/2 (/ s x))) 1) x)) (* 1/2 (/ 1 s))) x)) (* 1/6 (/ 1 (pow s 2))))))
(* 1/6 (/ (pow x 3) (pow s 2)))
(/ (- (* -1/2 (* s (pow x 2))) (* -1/6 (pow x 3))) (pow s 2))
(/ (- (* s (+ (* -1/2 (pow x 2)) (* s x))) (* -1/6 (pow x 3))) (pow s 2))
(/ (- (* s (+ (* -1/2 (pow x 2)) (* s x))) (* -1/6 (pow x 3))) (pow s 2))
x
(+ x (* -1/2 (/ (pow x 2) s)))
(- (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) (* 1/2 (/ (pow x 2) s)))
(- (+ x (* 1/6 (/ (pow x 3) (pow s 2)))) (* 1/2 (/ (pow x 2) s)))
x
(+ x (* -1/2 (/ (pow x 2) s)))
(+ x (* -1 (/ (- (* -1/6 (/ (pow x 3) s)) (* -1/2 (pow x 2))) s)))
(+ x (* -1 (/ (- (* -1/6 (/ (pow x 3) s)) (* -1/2 (pow x 2))) s)))
1/4
(+ 1/4 (* -1/36 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/36 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/36 (/ (pow x 2) (pow s 2))))
(* -1/36 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow s 2)))))
(* -1/36 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow s 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow s 2)))))
(* -1/36 (/ (pow x 2) (pow s 2)))
(/ (- (* 1/4 (pow s 2)) (* 1/36 (pow x 2))) (pow s 2))
(/ (- (* 1/4 (pow s 2)) (* 1/36 (pow x 2))) (pow s 2))
(/ (- (* 1/4 (pow s 2)) (* 1/36 (pow x 2))) (pow s 2))
1/4
(+ 1/4 (* -1/36 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/36 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/36 (/ (pow x 2) (pow s 2))))
1/4
(+ 1/4 (* -1/36 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/36 (/ (pow x 2) (pow s 2))))
(+ 1/4 (* -1/36 (/ (pow x 2) (pow s 2))))
(* 1/2 s)
(+ (* -1/6 x) (* 1/2 s))
(+ (* -1/6 x) (* 1/2 s))
(+ (* -1/6 x) (* 1/2 s))
(* -1/6 x)
(* x (- (* 1/2 (/ s x)) 1/6))
(* x (- (* 1/2 (/ s x)) 1/6))
(* x (- (* 1/2 (/ s x)) 1/6))
(* -1/6 x)
(* -1 (* x (+ 1/6 (* -1/2 (/ s x)))))
(* -1 (* x (+ 1/6 (* -1/2 (/ s x)))))
(* -1 (* x (+ 1/6 (* -1/2 (/ s x)))))
(* -1/6 x)
(+ (* -1/6 x) (* 1/2 s))
(+ (* -1/6 x) (* 1/2 s))
(+ (* -1/6 x) (* 1/2 s))
(* 1/2 s)
(* s (+ 1/2 (* -1/6 (/ x s))))
(* s (+ 1/2 (* -1/6 (/ x s))))
(* s (+ 1/2 (* -1/6 (/ x s))))
(* 1/2 s)
(* -1 (* s (- (* 1/6 (/ x s)) 1/2)))
(* -1 (* s (- (* 1/6 (/ x s)) 1/2)))
(* -1 (* s (- (* 1/6 (/ x s)) 1/2)))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(* -1/6 (/ x s))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ x s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(* 1/2 (/ (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))
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(/ (+ (* -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))
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(* 1/2 x)
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(* (pow x 2) (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
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(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s)
(* 1/2 x)
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(* 1/2 x)
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
(+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x))
1/2
(+ 1/2 (* -1/6 (/ x s)))
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(* -1/6 (/ x s))
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(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s))))
(* -1/6 (/ x s))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))))
(* -1/6 (/ x s))
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
(/ (+ (* -1/6 x) (* 1/2 s)) s)
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
1/2
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
(+ 1/2 (* -1/6 (/ x s)))
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)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))
(* 1/36 (/ (pow x 2) (pow s 2)))

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

rewrite264.0ms (2.9%)

Memory

-37.1MiB live, 443.4MiB allocated

Rules

6 530×	`lower-*.f64`
6 506×	`lower-*.f32`
4 516×	`lower-fma.f64`
4 510×	`lower-fma.f32`
3 776×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	518
0	103	458
1	473	389
2	3595	377
0	10209	377

Stop Event

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

Counts

26 → 677

Calls

Call 1

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

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

eval123.0ms (1.3%)

Memory: 51.2MiB live, 357.2MiB allocated
Compiler: Compiled 31 817 to 3 677 computations (88.4% saved)

prune378.0ms (4.1%)

Memory

-44.2MiB live, 544.1MiB allocated

Pruning

44 alts after pruning (34 fresh and 10 done)

	Pruned	Kept	Total
New	1 320	20	1 340
Fresh	10	14	24
Picked	2	3	5
Done	1	7	8
Total	1 333	44	1 377

Accuracy

100.0%

Counts

1 377 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x))))
	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓	51.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))))
✓	99.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	99.8%	(/.f32 #s(literal 1 binary32) (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
	51.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s)) x) s))))
	37.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	50.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
	54.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)) x) x) s)) s))))
	43.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (neg.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s s)))) #s(literal 1/4 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
	44.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (.f32 x x)) s) s)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
	42.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 #s(approx (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (.f32 (.f32 x x) (/.f32 #s(literal -1/36 binary32) (.f32 s s)))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
	43.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 x #s(literal 1/36 binary32)) (/.f32 x (.f32 s s)))) x) x) (.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))) s))))
	53.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 #s(approx (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) x) s)) s))))
	54.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (.f32 x x) s))) s))))
✓	54.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))) s))))
	53.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x))) s))))
	50.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s))) s))))
	51.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 s s))) #s(literal 1/6 binary32))) s))))
	31.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) x) s) (.f32 s s)))))
	32.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 s #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) x)))) (.f32 (*.f32 s s) s)))))
	32.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x #s(approx (+ (* -1/6 x) (* 1/2 s)) (.f32 #s(literal -1/6 binary32) x)))) (.f32 (*.f32 s s) s)))))
	33.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (/.f32 (.f32 x x) (.f32 s s)) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) s)))))
	33.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s s) s)) (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) x)))))
	34.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) (/.f32 x (.f32 (*.f32 s s) s))))))
	34.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (.f32 x (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)) x))))
	34.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x x) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) (.f32 (*.f32 s s) s))))))
	33.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) #s(approx (/ (* x (* x (+ (* -1/6 x) (* 1/2 s)))) (* (* s s) s)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
	53.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (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)) x #s(literal 2 binary32))))
	52.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
✓	53.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
	51.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
	50.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 s s)))) s))))
	66.9%	(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
	18.6%	#s(approx (/ 1 (+ 1 (pow (exp -1) (* (/ 1 s) x)))) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 x x) x) #s(literal 1/48 binary32)) (.f32 (*.f32 s s) s))))
	28.5%	#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
✓	28.5%	#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
✓	26.3%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
✓	23.4%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
	4.6%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ (* -1/48 x) s) (/ x s)) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
✓	35.7%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 2 319 to 938 computations (59.6% saved)

regimes130.0ms (1.4%)

Memory

26.1MiB live, 293.6MiB allocated

Counts

73 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) #s(approx (/ (* x (* x (+ (* -1/6 x) (* 1/2 s)))) (* (* s s) s)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 (*.f32 s s) s)))) #s(literal -1/6 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (.f32 x (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x #s(approx (+ (* -1/6 x) (* 1/2 s)) (.f32 #s(literal -1/6 binary32) x)))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x x) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) (.f32 (*.f32 s s) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) (/.f32 x (.f32 (*.f32 s s) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 s #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) x)))) (.f32 (*.f32 s s) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (/.f32 (.f32 x (.f32 (.f32 #s(literal -1/48 binary32) x) x)) (.f32 (*.f32 s s) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (* (/ 1 s) x)))) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 x x) x) #s(literal 1/48 binary32)) (.f32 (*.f32 s s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) (.f32 #s(literal 1/6 binary32) (.f32 x (.f32 x (/.f32 x (.f32 s s)))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 s s))) #s(literal 1/6 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s s) s)) (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 s s)))) #s(literal -1/6 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (/.f32 (.f32 x x) (.f32 s s)) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) x) s) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 s s)))) #s(literal -1/6 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 #s(approx (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (.f32 x x) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (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)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 s s) x)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 s s) x)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 x (.f32 (.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) (.f32 (*.f32 x x) x))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) s) x) x) x) (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 x (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) x) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* -1/48 x) (/ x (* s s))) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ (* -1/48 x) s) (/ x s)) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 x #s(literal 1/36 binary32)) (/.f32 x (.f32 s s)))) x) x) (.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 #s(approx (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (.f32 (.f32 x x) (/.f32 #s(literal -1/36 binary32) (.f32 s s)))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (neg.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s s)))) #s(literal 1/4 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (.f32 x x)) s) s)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 (.f32 x x) s)) (.f32 (neg.f32 s) (.f32 (.f32 (neg.f32 x) x) x))) (.f32 (neg.f32 s) (.f32 (*.f32 x x) s))) #s(literal 1/2 binary32)) x) x) s)) 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) (pow.f32 (E.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) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x))))
(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) x)) (/.f32 (.f32 x x) (.f32 s x)))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))

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

Calls

7 calls:

20.0ms	s
20.0ms	x
19.0ms	(neg.f32 x)
18.0ms	(/.f32 (neg.f32 x) s)
17.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes142.0ms (1.6%)

Memory

-5.1MiB live, 264.4MiB allocated

Counts

71 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) #s(approx (/ (* x (* x (+ (* -1/6 x) (* 1/2 s)))) (* (* s s) s)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 (*.f32 s s) s)))) #s(literal -1/6 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (.f32 x (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x #s(approx (+ (* -1/6 x) (* 1/2 s)) (.f32 #s(literal -1/6 binary32) x)))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x x) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) (.f32 (*.f32 s s) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) (/.f32 x (.f32 (*.f32 s s) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 s #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) x)))) (.f32 (*.f32 s s) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (/.f32 (.f32 x (.f32 (.f32 #s(literal -1/48 binary32) x) x)) (.f32 (*.f32 s s) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (* (/ 1 s) x)))) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 x x) x) #s(literal 1/48 binary32)) (.f32 (*.f32 s s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) (.f32 #s(literal 1/6 binary32) (.f32 x (.f32 x (/.f32 x (.f32 s s)))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 s s))) #s(literal 1/6 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s s) s)) (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 s s)))) #s(literal -1/6 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (/.f32 (.f32 x x) (.f32 s s)) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) x) s) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 s s)))) #s(literal -1/6 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 #s(approx (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (.f32 x x) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (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)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 s s) x)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 s s) x)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 x (.f32 (.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) (.f32 (*.f32 x x) x))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) s) x) x) x) (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 x (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) x) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* -1/48 x) (/ x (* s s))) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ (* -1/48 x) s) (/ x s)) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 x #s(literal 1/36 binary32)) (/.f32 x (.f32 s s)))) x) x) (.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 #s(approx (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (.f32 (.f32 x x) (/.f32 #s(literal -1/36 binary32) (.f32 s s)))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (neg.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s s)))) #s(literal 1/4 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (.f32 x x)) s) s)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 (.f32 x x) s)) (.f32 (neg.f32 s) (.f32 (.f32 (neg.f32 x) x) x))) (.f32 (neg.f32 s) (.f32 (*.f32 x x) s))) #s(literal 1/2 binary32)) x) x) s)) 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) (pow.f32 (E.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) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x))))
(.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 x s) #s(literal -2 binary32)))) (expm1.f32 (/.f32 (neg.f32 x) s)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) x)) (/.f32 (.f32 x x) (.f32 s x)))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))

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

Calls

7 calls:

27.0ms	(neg.f32 x)
22.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
20.0ms	s
19.0ms	x
18.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))

Results

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes165.0ms (1.8%)

Memory

-9.6MiB live, 266.7MiB allocated

Counts

67 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) #s(approx (/ (* x (* x (+ (* -1/6 x) (* 1/2 s)))) (* (* s s) s)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 (*.f32 s s) s)))) #s(literal -1/6 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (.f32 x (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x #s(approx (+ (* -1/6 x) (* 1/2 s)) (.f32 #s(literal -1/6 binary32) x)))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x x) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) (.f32 (*.f32 s s) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) (/.f32 x (.f32 (*.f32 s s) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 s #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) x)))) (.f32 (*.f32 s s) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (/.f32 (.f32 x (.f32 (.f32 #s(literal -1/48 binary32) x) x)) (.f32 (*.f32 s s) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (* (/ 1 s) x)))) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 x x) x) #s(literal 1/48 binary32)) (.f32 (*.f32 s s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) (.f32 #s(literal 1/6 binary32) (.f32 x (.f32 x (/.f32 x (.f32 s s)))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 s s))) #s(literal 1/6 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s s) s)) (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 s s)))) #s(literal -1/6 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (/.f32 (.f32 x x) (.f32 s s)) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) x) s) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 s s)))) #s(literal -1/6 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 #s(approx (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (.f32 x x) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (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)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 s s) x)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 s s) x)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 x (.f32 (.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) (.f32 (*.f32 x x) x))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) s) x) x) x) (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 x (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) x) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* -1/48 x) (/ x (* s s))) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ (* -1/48 x) s) (/ x s)) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 x #s(literal 1/36 binary32)) (/.f32 x (.f32 s s)))) x) x) (.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 #s(approx (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (.f32 (.f32 x x) (/.f32 #s(literal -1/36 binary32) (.f32 s s)))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (neg.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s s)))) #s(literal 1/4 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (.f32 x x)) s) s)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 (.f32 x x) s)) (.f32 (neg.f32 s) (.f32 (.f32 (neg.f32 x) x) x))) (.f32 (neg.f32 s) (.f32 (*.f32 x x) s))) #s(literal 1/2 binary32)) x) x) s)) 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) (pow.f32 (E.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) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))

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

Calls

7 calls:

39.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
34.0ms	s
21.0ms	x
20.0ms	(/.f32 (neg.f32 x) s)
18.0ms	(neg.f32 x)

Results

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes160.0ms (1.7%)

Memory

-15.7MiB live, 197.7MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) #s(approx (/ (* x (* x (+ (* -1/6 x) (* 1/2 s)))) (* (* s s) s)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 (*.f32 s s) s)))) #s(literal -1/6 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (.f32 x (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x #s(approx (+ (* -1/6 x) (* 1/2 s)) (.f32 #s(literal -1/6 binary32) x)))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x x) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) (.f32 (*.f32 s s) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) (/.f32 x (.f32 (*.f32 s s) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 s #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) x)))) (.f32 (*.f32 s s) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (/.f32 (.f32 x (.f32 (.f32 #s(literal -1/48 binary32) x) x)) (.f32 (*.f32 s s) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (* (/ 1 s) x)))) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 x x) x) #s(literal 1/48 binary32)) (.f32 (*.f32 s s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) (.f32 #s(literal 1/6 binary32) (.f32 x (.f32 x (/.f32 x (.f32 s s)))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 s s))) #s(literal 1/6 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s s) s)) (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 s s)))) #s(literal -1/6 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (/.f32 (.f32 x x) (.f32 s s)) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) x) s) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 s s)))) #s(literal -1/6 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 #s(approx (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (.f32 x x) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (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)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 s s) x)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 s s) x)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 x (.f32 (.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) (.f32 (*.f32 x x) x))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) s) x) x) x) (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 x (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) x) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* -1/48 x) (/ x (* s s))) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ (* -1/48 x) s) (/ x s)) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 x #s(literal 1/36 binary32)) (/.f32 x (.f32 s s)))) x) x) (.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 #s(approx (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (.f32 (.f32 x x) (/.f32 #s(literal -1/36 binary32) (.f32 s s)))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (neg.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s s)))) #s(literal 1/4 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (.f32 x x)) s) s)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 (.f32 x x) s)) (.f32 (neg.f32 s) (.f32 (.f32 (neg.f32 x) x) x))) (.f32 (neg.f32 s) (.f32 (*.f32 x x) s))) #s(literal 1/2 binary32)) x) x) s)) 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) (pow.f32 (E.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) (exp.f32 (/.f32 (.f32 (.f32 x x) (neg.f32 x)) (.f32 (.f32 x x) s)))))

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

Calls

7 calls:

41.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
34.0ms	s
20.0ms	x
18.0ms	(neg.f32 x)
16.0ms	(/.f32 (neg.f32 x) s)

Results

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes115.0ms (1.3%)

Memory

27.0MiB live, 223.7MiB allocated

Counts

64 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) #s(approx (/ (* x (* x (+ (* -1/6 x) (* 1/2 s)))) (* (* s s) s)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 (*.f32 s s) s)))) #s(literal -1/6 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (.f32 x (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x #s(approx (+ (* -1/6 x) (* 1/2 s)) (.f32 #s(literal -1/6 binary32) x)))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x x) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) (.f32 (*.f32 s s) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) (/.f32 x (.f32 (*.f32 s s) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 s #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) x)))) (.f32 (*.f32 s s) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (/.f32 (.f32 x (.f32 (.f32 #s(literal -1/48 binary32) x) x)) (.f32 (*.f32 s s) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (* (/ 1 s) x)))) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 x x) x) #s(literal 1/48 binary32)) (.f32 (*.f32 s s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) (.f32 #s(literal 1/6 binary32) (.f32 x (.f32 x (/.f32 x (.f32 s s)))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 s s))) #s(literal 1/6 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s s) s)) (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 s s)))) #s(literal -1/6 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (/.f32 (.f32 x x) (.f32 s s)) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) x) s) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 s s)))) #s(literal -1/6 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 #s(approx (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (.f32 x x) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (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)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 s s) x)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 s s) x)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 x (.f32 (.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) (.f32 (*.f32 x x) x))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) s) x) x) x) (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 x (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) x) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* -1/48 x) (/ x (* s s))) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ (* -1/48 x) s) (/ x s)) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 x #s(literal 1/36 binary32)) (/.f32 x (.f32 s s)))) x) x) (.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 #s(approx (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (.f32 (.f32 x x) (/.f32 #s(literal -1/36 binary32) (.f32 s s)))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (neg.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s s)))) #s(literal 1/4 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (.f32 x x)) s) s)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 (.f32 x x) s)) (.f32 (neg.f32 s) (.f32 (.f32 (neg.f32 x) x) x))) (.f32 (neg.f32 s) (.f32 (*.f32 x x) s))) #s(literal 1/2 binary32)) x) x) s)) 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) (pow.f32 (E.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:

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

Results

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes137.0ms (1.5%)

Memory

20.6MiB live, 252.6MiB allocated

Counts

62 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) #s(approx (/ (* x (* x (+ (* -1/6 x) (* 1/2 s)))) (* (* s s) s)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 (*.f32 s s) s)))) #s(literal -1/6 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (.f32 x (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x #s(approx (+ (* -1/6 x) (* 1/2 s)) (.f32 #s(literal -1/6 binary32) x)))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) x) s) (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x x) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) (.f32 (*.f32 s s) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) (/.f32 x (.f32 (*.f32 s s) s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (.f32 x (.f32 x (fma.f32 s #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) x)))) (.f32 (*.f32 s s) s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (/.f32 (.f32 x (.f32 (.f32 #s(literal -1/48 binary32) x) x)) (.f32 (*.f32 s s) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))
#s(approx (/ 1 (+ 1 (pow (exp -1) (* (/ 1 s) x)))) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 x x) x) #s(literal 1/48 binary32)) (.f32 (*.f32 s s) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) (.f32 #s(literal 1/6 binary32) (.f32 x (.f32 x (/.f32 x (.f32 s s)))))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 s s))) #s(literal 1/6 binary32))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s s) s)) (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 s s)))) #s(literal -1/6 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (/.f32 (.f32 x x) (.f32 s s)) (/.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (/.f32 (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) x (.f32 #s(literal 1/2 binary32) s)) x) x) s) (.f32 s s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 s s)))) #s(literal -1/6 binary32)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (- x (/ (* (* (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) x) x) s)) (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 (*.f32 s s) s)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (.f32 x (*.f32 x (/.f32 x s))) #s(literal -1/6 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 #s(approx (/ (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (- 1/2 (* -1/6 (/ x s)))) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 x x) (fma.f32 #s(literal 1/6 binary32) x (.f32 #s(literal -1/2 binary32) s))) (.f32 s s)) x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (/.f32 x s) (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (.f32 (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (.f32 x x) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (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)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (- x (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 s s) x)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 s s) x)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x #s(approx (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s) (/.f32 (fma.f32 (.f32 (.f32 x x) s) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 x x) x) #s(literal -1/6 binary32))) (.f32 s s)))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 x s) x) x) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 x (.f32 (.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 #s(approx (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) (.f32 (*.f32 x x) x))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) s) x) x) x) (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 x (/.f32 (fma.f32 (.f32 (.f32 (/.f32 x s) x) x) #s(literal -1/6 binary32) (.f32 (.f32 x x) #s(literal 1/2 binary32))) s)) (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (* -1/48 x) (/ x (* s s))) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) (+ (* (/ (* -1/48 x) s) (/ x s)) 1/4)) 1/2) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (.f32 (.f32 s s) s))) (.f32 (*.f32 x x) x))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 x #s(literal 1/36 binary32)) (/.f32 x (.f32 s s)))) x) x) (.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s))) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 #s(approx (- 1/4 (/ (* (* -1/6 x) (* -1/6 x)) (* s s))) (.f32 (.f32 x x) (/.f32 #s(literal -1/36 binary32) (.f32 s s)))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 #s(literal -1/6 binary32) x)) (.f32 s s))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (neg.f32 (.f32 #s(literal -1/6 binary32) (/.f32 x (.f32 s s)))) #s(literal 1/4 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (.f32 x x)) s) s)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) x) x) s)) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 (.f32 x x) s)) (.f32 (neg.f32 s) (.f32 (.f32 (neg.f32 x) x) x))) (.f32 (neg.f32 s) (.f32 (*.f32 x x) s))) #s(literal 1/2 binary32)) x) x) 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 (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))

Calls

7 calls:

31.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
20.0ms	s
20.0ms	(neg.f32 x)
19.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
17.0ms	x

Results

Accuracy	Segments	Branch
63.4%	2	`x`
54.5%	1	`s`
64.1%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
64.1%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
64.1%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
64.1%	2	`(/.f32 (neg.f32 x) s)`
63.4%	2	`(neg.f32 x)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes59.0ms (0.6%)

Memory

-6.6MiB live, 117.8MiB allocated

Counts

50 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

18.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
14.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
12.0ms	(/.f32 (neg.f32 x) s)
10.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
64.0%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
64.0%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
64.0%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
64.0%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes16.0ms (0.2%)

Memory

-4.6MiB live, 34.6MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
64.0%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
64.0%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
64.0%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
64.0%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes25.0ms (0.3%)

Memory

-19.3MiB live, 59.3MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
61.5%	2	`x`
61.5%	2	`(neg.f32 x)`
63.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
63.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
63.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
63.3%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes17.0ms (0.2%)

Memory

-4.6MiB live, 36.5MiB 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 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s))))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (exp -1) (/ x s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) #s(approx (/ (* x (* x (+ (* -1/6 x) (* 1/2 s)))) (* (* s s) s)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) (fma.f32 (.f32 #s(literal -1/48 binary32) x) (/.f32 x (.f32 s s)) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
61.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
61.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
61.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
61.6%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes22.0ms (0.2%)

Memory

14.8MiB live, 54.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

7 calls:

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

Results

Accuracy	Segments	Branch
37.6%	1	`s`
46.1%	2	`x`
46.1%	2	`(neg.f32 x)`
46.7%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
46.7%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
46.7%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
46.7%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes17.0ms (0.2%)

Memory

0.8MiB live, 40.1MiB allocated

Accuracy

Total -2.9b remaining (-14%)

Threshold costs -2.9b (-14%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
35.7%	1	`s`
35.7%	1	`x`
35.7%	1	`(neg.f32 x)`
35.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
35.7%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
35.7%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
35.7%	1	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5528922080993652	0.7811246514320374

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.762519836425781	28.001392364501953

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.762519836425781	28.001392364501953

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7924494.5	41820872.0

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.762519836425781	28.001392364501953

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-17744.326171875	-0.6992920637130737

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify11.0ms (0.1%)

Memory

-5.5MiB live, 33.3MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary32`
18×	`+-commutative_binary32`
10×	`sub-neg_binary32`
8×	`neg-sub0_binary32`
8×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	437
1	142	437
2	151	437
3	157	437
4	160	437
5	161	437

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.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 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5033165/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 x (.f32 (.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (.f32 x (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)) x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 (*.f32 s s) s)))) #s(literal -1/6 binary32))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10000000 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 (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) #s(approx (/ (* x (* x (+ (* -1/6 x) (* 1/2 s)))) (* (* s s) s)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -10000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Outputs
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/.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 (/.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 (neg.f32 x) s))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5033165/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 x (.f32 (.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (.f32 x (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32)) x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (.f32 (/.f32 x (.f32 (*.f32 s s) s)) x) #s(literal -1/6 binary32)) x)))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 x (.f32 x (/.f32 x (.f32 (*.f32 s s) s)))) #s(literal -1/6 binary32))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) (.f32 (.f32 (.f32 (/.f32 x (.f32 (*.f32 s s) s)) x) x) #s(literal -1/6 binary32))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10000000 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 (/ (+ (* -1/6 (* (* (/ x s) x) x)) (* (* x x) 1/2)) s)) s)) (.f32 (.f32 (.f32 x x) (/.f32 x (.f32 (*.f32 s s) s))) #s(literal -1/6 binary32))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 10 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (* (* x x) (neg x)) (* (* x x) s)))) #s(approx (- 2 (/ (- x (/ (* (* (+ (* -1/6 (/ x s)) 1/2) x) x) s)) s)) #s(approx (/ (* x (* x (+ (* -1/6 x) (* 1/2 s)))) (* (* s s) s)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -10000 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

soundness1.7s (18.9%)

Memory

20.3MiB live, 1 132.4MiB allocated

Rules

40 054×	`lower-fma.f64`
40 054×	`lower-fma.f32`
14 218×	`lower-fma.f64`
14 218×	`lower-fma.f32`
12 678×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	5538
1	1001	5404
2	3027	5162
0	8347	4892
0	447	5479
1	1347	4635
2	4670	4502
0	8760	4199
0	54	360
0	88	348
1	388	311
2	3391	308
0	8911	305
0	8	27
0	13	27
1	48	27
2	255	27
3	2101	27
0	8465	26
0	344	6130
1	1032	5847
2	3071	5631
0	8229	5346
0	140	758
1	378	748
2	1147	742
3	3893	722
0	8438	682

Stop Event

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

Compiler

Compiled 401 to 210 computations (47.6% saved)

preprocess107.0ms (1.2%)

Memory: -24.9MiB live, 136.3MiB allocated
Compiler: Compiled 432 to 152 computations (64.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze38.0ms (0.4%)

sample1.1s (12.3%)

explain89.0ms (1%)

preprocess32.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize24.0ms (0.3%)

series12.0ms (0.1%)

simplify264.0ms (2.9%)

rewrite226.0ms (2.5%)

eval82.0ms (0.9%)

prune135.0ms (1.5%)

simplify119.0ms (1.3%)

localize143.0ms (1.6%)

series221.0ms (2.4%)

simplify188.0ms (2.1%)

rewrite205.0ms (2.2%)

eval212.0ms (2.3%)

prune297.0ms (3.2%)

simplify178.0ms (1.9%)

localize250.0ms (2.7%)

series59.0ms (0.6%)

simplify222.0ms (2.4%)

rewrite189.0ms (2.1%)

eval190.0ms (2.1%)

prune404.0ms (4.4%)

simplify150.0ms (1.6%)

localize232.0ms (2.5%)

series49.0ms (0.5%)

simplify192.0ms (2.1%)

rewrite264.0ms (2.9%)

eval123.0ms (1.3%)

prune378.0ms (4.1%)

regimes130.0ms (1.4%)

regimes142.0ms (1.6%)

regimes165.0ms (1.8%)

regimes160.0ms (1.7%)

regimes115.0ms (1.3%)

regimes137.0ms (1.5%)

regimes59.0ms (0.6%)

regimes16.0ms (0.2%)

regimes25.0ms (0.3%)

regimes17.0ms (0.2%)

regimes22.0ms (0.2%)

regimes17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness1.7s (18.9%)

preprocess107.0ms (1.2%)

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