Metrics for Logistic function

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze40.0ms (0.5%)

Memory

9.0MiB live, 53.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample912.0ms (10.5%)

Memory

32.8MiB live, 1 282.1MiB allocated

Samples

657.0ms

8 256×

valid

Precisions

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

ival-div: 118.0ms (24.5% of total)

const: 117.0ms (24.3% of total)

ival-neg: 68.0ms (14.1% of total)

ival-exp: 63.0ms (13.1% of total)

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

ival-add: 42.0ms (8.7% of total)

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

exact: 10.0ms (2.1% of total)

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

Bogosity

explain93.0ms (1.1%)

Memory

-27.7MiB live, 136.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
1	3	(-8.53019909275723e-23 4.93889000160833e-25)	1	(-2.1138935153430793e-6 4.3044540376513396e-8)	`(exp.f32 (/.f32 (neg.f32 x) s))`
0	0	-	0	-	`s`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
0	0	-	0	-	`(neg.f32 x)`
0	0	-	0	-	`(/.f32 (neg.f32 x) s)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 x) s))`	sensitivity	3	4

Confusion

	Predicted +	Predicted -
+	0	1
-	3	252

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	0
-	3	3	249

Precision?

0.14285714285714285

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 7.0ms (39.6% of total)

ival-exp: 4.0ms (22.6% of total)

ival-neg: 4.0ms (22.6% of total)

ival-add: 2.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess31.0ms (0.4%)

Memory

2.1MiB live, 39.7MiB 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 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify6.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB 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

localize22.0ms (0.2%)

Memory

-8.8MiB live, 29.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f32 x)
accuracy	0.0234375	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
accuracy	0.046875	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
accuracy	0.10683391339056883	(exp.f32 (/.f32 (neg.f32 x) s))

Samples

16.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (40% of total)

ival-exp: 3.0ms (30% of total)

ival-add: 1.0ms (10% of total)

ival-neg: 1.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB 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 (+ 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 (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 (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 (/ 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 1/2 (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 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 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 (/ 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 1/2 (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 -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 -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 -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 1/2 (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 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 (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 (* -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) (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 (+ 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 (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 (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 (* -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) (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 (+ 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 (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 (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 (* -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) (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

6 calls:

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

simplify239.0ms (2.7%)

Memory

-12.1MiB live, 258.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	857
1	378	768
2	1150	742
3	3902	722
0	8435	682

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite157.0ms (1.8%)

Memory

13.9MiB live, 239.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	27
1	48	27
2	255	27
3	2101	27
0	8465	26

Stop Event

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

Counts

5 → 710

Calls

Call 1

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

Outputs
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eval246.0ms (2.8%)

Memory: 1.4MiB live, 240.8MiB allocated
Compiler: Compiled 20 190 to 2 719 computations (86.5% saved)

prune68.0ms (0.8%)

Memory

1.8MiB live, 79.6MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	802	16	818
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	802	17	819

Accuracy

99.8%

Counts

819 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
	99.1%	(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	47.7%	(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
	49.5%	(/.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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
	47.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.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)))))
▶	99.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
▶	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	35.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x 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)))))
	35.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
	38.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x 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))))
▶	35.8%	(/.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))))
	38.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	18.1%	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) (-.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
▶	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Compiler

Compiled 459 to 358 computations (22% saved)

simplify199.0ms (2.3%)

Memory

21.1MiB live, 102.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 (/.f32 x s) #s(literal -3 binary32))
cost-diff	0	(+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32)))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) (-.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
cost-diff	0	(E.f32)
cost-diff	0	(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
cost-diff	32	(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
cost-diff	0	(/.f32 x s)
cost-diff	0	(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
cost-diff	0	(exp.f32 (/.f32 x s))
cost-diff	0	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
cost-diff	288	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))

Rules

5 944×	`lower-fma.f64`
5 940×	`lower-fma.f32`
2 424×	`lower-*.f64`
2 418×	`lower-*.f32`
1 082×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	243
0	66	237
1	110	235
2	208	235
3	372	235
4	664	235
5	1055	235
6	1987	235
7	3618	235
8	4658	235
9	5234	235
10	5569	235
11	5919	235
12	6377	235
13	7394	235
0	8046	235

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (1.5%)

Memory

-2.0MiB live, 117.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.15625	(*.f32 (/.f32 x s) #s(literal -3 binary32))
accuracy	0.8085937620925289	(-.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))
accuracy	1.495960600356395	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) (-.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
accuracy	20.757179948716093	(expm1.f32 (/.f32 (neg.f32 x) s))
accuracy	0.0234375	(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))
accuracy	0.046875	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
accuracy	0.1192190233791204	(pow.f32 (E.f32) (/.f32 (neg.f32 x) s))
accuracy	8.669066449500193	(E.f32)
accuracy	0.046875	(/.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))))
accuracy	13.66734453193933	#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)))
accuracy	21.09556524817888	(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))
accuracy	21.33399657527859	(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
accuracy	11.884809505467597	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
accuracy	0.0234375	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))
accuracy	0.046875	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
accuracy	0.046875	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))
accuracy	0.10395727661226155	(exp.f32 (/.f32 x s))

Samples

67.0ms	182×	0	valid
17.0ms	74×	0	exit

Compiler

Compiled 228 to 38 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 30.0ms (47.7% of total)

ival-exp: 7.0ms (11.1% of total)

ival-mult: 7.0ms (11.1% of total)

ival-add: 6.0ms (9.5% of total)

ival-pow: 4.0ms (6.4% of total)

ival-expm1: 2.0ms (3.2% of total)

ival-e: 2.0ms (3.2% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series69.0ms (0.8%)

Memory

21.2MiB live, 58.0MiB allocated

Counts

20 → 456

Calls

Call 1

Inputs
#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 x s)) (patch (exp.f32 (/.f32 x s)) #<representation binary32>) () ())
#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))) (patch #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))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())
#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())
#s(alt (E.f32) (patch (E.f32) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) (-.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) (patch (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) (-.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 x s) #s(literal -3 binary32)) (patch (.f32 (/.f32 x s) #s(literal -3 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (patch (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (expm1.f32 (/.f32 (neg.f32 x) s)) (patch (expm1.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())
#s(alt (-.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) (patch (-.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())

Outputs
#s(alt (/ 1 (exp (/ x s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (exp (/ x s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (exp (/ x s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (exp (/ x s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (/ 1 (exp (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (/ 1 (exp (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (/ 1 (exp (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (/ 1 (exp (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) #<representation binary32>) () ())) ())
#s(alt (exp (/ x s)) (taylor 0 s) (#s(alt (exp.f32 (/.f32 x s)) (patch (exp.f32 (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (exp (/ x s)) (taylor 0 s) (#s(alt (exp.f32 (/.f32 x s)) (patch (exp.f32 (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (exp (/ x s)) (taylor 0 s) (#s(alt (exp.f32 (/.f32 x s)) (patch (exp.f32 (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (exp (/ x s)) (taylor 0 s) (#s(alt (exp.f32 (/.f32 x s)) (patch (exp.f32 (/.f32 x s)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#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 (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#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 (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#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 (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#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 (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt #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))) (patch #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))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt #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))) (patch #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))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt #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))) (patch #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))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt #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))) (patch #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))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (pow x 2) (pow s 2))) (taylor 0 s) (#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ())
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (* x (log (E))) s))) (taylor 0 s) (#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (* x (log (E))) s))) (taylor 0 s) (#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (* x (log (E))) s))) (taylor 0 s) (#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ (* x (log (E))) s))) (taylor 0 s) (#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ (* x (log (E))) s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (exp (* -1 (/ (* x (log (E))) s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	s	@	inf	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (pow (E) (/ (neg x) s)) (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (E) (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (/ 1 (+ (exp (* (/ x s) -3)) 1)) (+ (exp (* (/ x s) -3)) 1) (* (/ x s) -3) (+ (* (/ 1/2 s) x) -1) (- (exp (/ (neg x) s)) 1) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1)))
8.0ms	s	@	-inf	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (pow (E) (/ (neg x) s)) (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (E) (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (/ 1 (+ (exp (* (/ x s) -3)) 1)) (+ (exp (* (/ x s) -3)) 1) (* (/ x s) -3) (+ (* (/ 1/2 s) x) -1) (- (exp (/ (neg x) s)) 1) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1)))
5.0ms	s	@	0	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (pow (E) (/ (neg x) s)) (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (E) (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (/ 1 (+ (exp (* (/ x s) -3)) 1)) (+ (exp (* (/ x s) -3)) 1) (* (/ x s) -3) (+ (* (/ 1/2 s) x) -1) (- (exp (/ (neg x) s)) 1) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1)))
4.0ms	x	@	-inf	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (pow (E) (/ (neg x) s)) (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (E) (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (/ 1 (+ (exp (* (/ x s) -3)) 1)) (+ (exp (* (/ x s) -3)) 1) (* (/ x s) -3) (+ (* (/ 1/2 s) x) -1) (- (exp (/ (neg x) s)) 1) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1)))
4.0ms	x	@	inf	((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/ x s) (pow (E) (/ (neg x) s)) (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (E) (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (/ 1 (+ (exp (* (/ x s) -3)) 1)) (+ (exp (* (/ x s) -3)) 1) (* (/ x s) -3) (+ (* (/ 1/2 s) x) -1) (- (exp (/ (neg x) s)) 1) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1)))

simplify204.0ms (2.3%)

Memory

-68.5MiB live, 191.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 842×	`lower-fma.f64`
11 842×	`lower-fma.f32`
4 422×	`lower-*.f64`
4 422×	`lower-*.f32`
3 224×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	705	5063
1	2269	4625
2	7414	4553
0	8325	4319

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 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))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
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(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
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(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
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(+ 1 (exp (* -3 (/ x s))))
(* -3 (/ x s))
(* -3 (/ x s))
(* -3 (/ x s))
(* -3 (/ x s))
(* 1/2 (/ x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
1
(+ 1 (* -1 (/ x s)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2))))))
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1
(+ 1 (/ x s))
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1/2
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2
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(/ x s)
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1
(+ 1 (* -1 (/ (* x (log (E))) s)))
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1/2
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2
(+ 2 (* -1 (/ (* x (log (E))) s)))
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1/2
(- (+ 1/2 (* 1/2 (/ (- (* -2 x) (* -1 x)) s))) (* -3/4 (/ x s)))
(- (+ 1/2 (+ (* 1/2 (/ (- (* -2 x) (* -1 x)) s)) (* 1/2 (/ (- (* 2 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))) (+ (* -3/2 (/ (* x (- (* 1/2 (- (* -2 x) (* -1 x))) (* -3/4 x))) (pow s 2))) (+ (* -3/4 (/ x s)) (* 9/8 (/ (pow x 2) (pow s 2))))))
(- (+ 1/2 (+ (* 1/2 (/ (- (* -2 x) (* -1 x)) s)) (+ (* 1/2 (/ (- (* -4/3 (pow x 3)) (* -1/6 (pow x 3))) (pow s 3))) (* 1/2 (/ (- (* 2 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))) (+ (* -3/2 (/ (* x (- (* 1/2 (- (* -2 x) (* -1 x))) (* -3/4 x))) (pow s 2))) (+ (* -3/2 (/ (* x (- (* 1/2 (- (* 2 (pow x 2)) (* 1/2 (pow x 2)))) (+ (* -3/2 (* x (- (* 1/2 (- (* -2 x) (* -1 x))) (* -3/4 x)))) (* 9/8 (pow x 2))))) (pow s 3))) (+ (* -9/8 (/ (pow x 3) (pow s 3))) (+ (* -3/4 (/ x s)) (+ (* 9/8 (/ (pow x 2) (pow s 2))) (* 9/4 (/ (* (pow x 2) (- (* 1/2 (- (* -2 x) (* -1 x))) (* -3/4 x))) (pow s 3)))))))))
1/2
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2
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(* -3 (/ x s))
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-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
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(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)
1
(- (+ 1 (* -2 (/ x s))) (* -1 (/ x s)))
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1
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1/2
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
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(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
1
(+ 1 (/ x s))
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(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
1/2
(+ 1/2 (* 1/4 (/ x s)))
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
2
(+ 2 (* -1 (/ x s)))
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2
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(/ x s)
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1
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1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s)))
2
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1/2
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(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (- (* 4/3 (pow x 3)) (* 1/6 (pow x 3)))) (+ (* 9/8 (pow x 3)) (+ (* 3/2 (* x (- (* 1/2 (- (* 2 (pow x 2)) (* 1/2 (pow x 2)))) (+ (* 9/8 (pow x 2)) (* 3/2 (* x (- (* 1/2 (- (* 2 x) x)) (* 3/4 x)))))))) (* 9/4 (* (pow x 2) (- (* 1/2 (- (* 2 x) x)) (* 3/4 x))))))) s)) (* 1/2 (- (* 2 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* 9/8 (pow x 2)) (* 3/2 (* x (- (* 1/2 (- (* 2 x) x)) (* 3/4 x)))))) s)) (* 1/2 (- (* 2 x) x))) (* 3/4 x)) s)))
1/2
(+ 1/2 (* 3/4 (/ x s)))
(+ 1/2 (* -1 (/ (- (+ (* -9/8 (/ (pow x 2) s)) (* 9/8 (/ (pow x 2) s))) (* 3/4 x)) s)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -27/16 (/ (pow x 3) s)) (+ (* -3/2 (/ (* x (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2)))) s)) (* 9/8 (/ (pow x 3) s)))) (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2)))) s)) (* 3/4 x)) s)))
2
(+ 2 (* -3 (/ x s)))
(+ 2 (* -1 (/ (+ (* -9/2 (/ (pow x 2) s)) (* 3 x)) s)))
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -9/2 (/ (pow x 3) s)) (* 9/2 (pow x 2))) s)) (* 3 x)) s)))
(* -3 (/ x s))
(* -3 (/ x s))
(* -3 (/ x s))
(* -3 (/ x s))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* -1 (/ x s))
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))
(* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))
1
(+ 1 (* -1 (/ (- (* 2 x) x) s)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 2 x)) x) s)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 3)) (* 1/6 (pow x 3))) s)) (* 2 (pow x 2))) (* 1/2 (pow x 2))) s)) (* 2 x)) 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))))
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)))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1
(+ 1 (/ x s))
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
1/2
(+ 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)))))
1/2
(+ 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)))))
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))))
2
(+ 2 (* -1 (/ x s)))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
1
(+ 1 (* -1 (/ (* x (log (E))) s)))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))
1/2
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s)))))
2
(+ 2 (* -1 (/ (* x (log (E))) s)))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2))))))
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2))))))))
1/2
(+ 1/2 (* 1/4 (/ x s)))
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))))
1/2
(+ 1/2 (* 3/4 (/ x s)))
(+ 1/2 (* x (+ (* -9/16 (/ (pow x 2) (pow s 3))) (* 3/4 (/ 1 s)))))
(+ 1/2 (* x (+ (* (pow x 2) (- (* 81/160 (/ (pow x 2) (pow s 5))) (* 9/16 (/ 1 (pow s 3))))) (* 3/4 (/ 1 s)))))
2
(+ 2 (* -3 (/ x s)))
(+ 2 (* x (- (* 9/2 (/ x (pow s 2))) (* 3 (/ 1 s)))))
(+ 2 (* x (- (* x (+ (* -9/2 (/ x (pow s 3))) (* 9/2 (/ 1 (pow s 2))))) (* 3 (/ 1 s)))))
(* -3 (/ x s))
(* -3 (/ x s))
(* -3 (/ x s))
(* -3 (/ x s))
-1
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(- (* 1/2 (/ x s)) 1)
(* -1 (/ x s))
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))
(* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
(* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))
1
(+ 1 (* -1 (/ x s)))
(+ 1 (* x (- (* 3/2 (/ x (pow s 2))) (/ 1 s))))
(+ 1 (* x (- (* x (+ (* -7/6 (/ x (pow s 3))) (* 3/2 (/ 1 (pow s 2))))) (/ 1 s))))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 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))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x))))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(+ 1 (exp (* -3 (/ x s))))
(+ 1 (exp (* -3 (/ x s))))
(+ 1 (exp (* -3 (/ x s))))
(+ 1 (exp (* -3 (/ x s))))
(* -3 (/ x s))
(* -3 (/ x s))
(* -3 (/ x s))
(* -3 (/ x s))
(* 1/2 (/ x s))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(* x (- (* 1/2 (/ 1 s)) (/ 1 x)))
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (exp (/ x s)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(+ 1 (/ 1 (exp (/ x s))))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(exp (/ x s))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 1 (exp (* -1 (/ x s)))))
(/ 1 (+ 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))))
(* 1/2 (/ (pow x 2) (pow s 2)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(/ x s)
(/ x s)
(/ x s)
(/ x s)
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(exp (* -1 (/ (* x (log (E))) s)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(+ 1 (exp (* -3 (/ x s))))
(+ 1 (exp (* -3 (/ x s))))
(+ 1 (exp (* -3 (/ x s))))
(+ 1 (exp (* -3 (/ x s))))
(* -3 (/ x s))
(* -3 (/ x s))
(* -3 (/ x s))
(* -3 (/ x s))
(* 1/2 (/ x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (exp (* -1 (/ x s))) 1)
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))

Outputs
(/ 1 (exp (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (exp (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (exp (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (exp (/ x s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (/ 1 (exp (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (/ 1 (exp (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (/ 1 (exp (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (/ 1 (exp (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (/ 1 (exp (/ x s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(exp (/ x s))
(exp.f32 (/.f32 x s))
(/ 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 (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))
(* 1/2 (/ (pow x 2) (pow s 2)))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (.f32 s x)) (.f32 s s))
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/.f32 (-.f32 (+.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/.f32 (-.f32 (+.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/.f32 (-.f32 (+.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/.f32 (-.f32 (+.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(+ 1 (exp (* -3 (/ x s))))
(+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32))
(+ 1 (exp (* -3 (/ x s))))
(+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32))
(+ 1 (exp (* -3 (/ x s))))
(+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32))
(+ 1 (exp (* -3 (/ x s))))
(+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32))
(* -3 (/ x s))
(*.f32 #s(literal -3 binary32) (/.f32 x s))
(* -3 (/ x s))
(*.f32 #s(literal -3 binary32) (/.f32 x s))
(* -3 (/ x s))
(*.f32 #s(literal -3 binary32) (/.f32 x s))
(* -3 (/ x s))
(*.f32 #s(literal -3 binary32) (/.f32 x s))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(/ (+ (* -1 s) (* 1/2 x)) s)
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)
(/ (+ (* -1 s) (* 1/2 x)) s)
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (/.f32 (neg.f32 x) s))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (/.f32 (neg.f32 x) s))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (/.f32 (neg.f32 x) s))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (/.f32 (neg.f32 x) s))
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
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(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
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#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s)))
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#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s))
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1
#s(literal 1 binary32)
(+ 1 (/ x s))
(+.f32 (/.f32 x s) #s(literal 1 binary32))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ 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 1 binary32))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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)))
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(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))
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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)))))
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(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
(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))
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
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(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
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(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s)))
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(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))
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1/2
#s(literal 1/2 binary32)
(- (+ 1/2 (* 1/2 (/ (- (* -2 x) (* -1 x)) s))) (* -3/4 (/ x s)))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 3/4 (/ x s)))
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(- (+ 1/2 (* -1 (/ (+ (* -9/8 (pow x 2)) (* 9/8 (pow x 2))) (pow s 2)))) (* -3/4 (/ x s)))
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2
#s(literal 2 binary32)
(+ 2 (* -3 (/ x s)))
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(+ 2 (+ (* -3 (/ x s)) (* 9/2 (/ (pow x 2) (pow s 2)))))
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(+ 2 (+ (* -9/2 (/ (pow x 3) (pow s 3))) (+ (* -3 (/ x s)) (* 9/2 (/ (pow x 2) (pow s 2))))))
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(* -3 (/ x s))
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-1
#s(literal -1 binary32)
(- (* 1/2 (/ x s)) 1)
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(- (* 1/2 (/ x s)) 1)
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(- (* 1/2 (/ x s)) 1)
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))
(* -1 (/ x s))
(/.f32 (neg.f32 x) s)
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)
(/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s)
(/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (pow.f32 x #s(literal 3 binary32)) s) (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x)) s)
(/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s)
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1
#s(literal 1 binary32)
(- (+ 1 (* -2 (/ x s))) (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(- (+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))
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(- (+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 2 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))
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1
#s(literal 1 binary32)
(+ 1 (* -1 (/ x s)))
(-.f32 #s(literal 1 binary32) (/.f32 x s))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
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(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s)))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ x s)))
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(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s)))
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#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
(-.f32 #s(literal 2 binary32) (/.f32 x s))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s)))
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#s(literal 1 binary32)
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#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
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#s(literal 2 binary32)
(+ 2 (* -1 (/ x s)))
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(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))
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(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
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#s(literal 1 binary32)
(+ 1 (* -1 (/ (* x (log (E))) s)))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/4 (/ (* x (log (E))) s)))
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))
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2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (* x (log (E))) s)))
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(+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s)))
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 3/4 (/ x s)))
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(+ 1/2 (* -1 (/ (- (+ (* -9/8 (/ (pow x 2) s)) (* 9/8 (/ (pow x 2) s))) (* 3/4 x)) s)))
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2
#s(literal 2 binary32)
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#s(literal -1 binary32)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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1/2
#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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#s(literal 1 binary32)
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1/2
#s(literal 1/2 binary32)
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1/2
#s(literal 1/2 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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(/.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 (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))
(* 1/2 (/ (pow x 2) (pow s 2)))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))))
(.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) x)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(/ x s)
(/.f32 x s)
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(exp (* -1 (/ (* x (log (E))) s)))
(exp.f32 (/.f32 (neg.f32 x) s))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(+ 1 (exp (* -1 (/ (* x (log (E))) s))))
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/.f32 (-.f32 (+.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/.f32 (-.f32 (+.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/.f32 (-.f32 (+.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ (- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s)))) (+ 1 (exp (* -3 (/ x s)))))
(/.f32 (-.f32 (+.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(/ 1 (+ 1 (exp (* -3 (/ x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)))
(+ 1 (exp (* -3 (/ x s))))
(+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32))
(+ 1 (exp (* -3 (/ x s))))
(+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32))
(+ 1 (exp (* -3 (/ x s))))
(+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32))
(+ 1 (exp (* -3 (/ x s))))
(+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32))
(* -3 (/ x s))
(*.f32 #s(literal -3 binary32) (/.f32 x s))
(* -3 (/ x s))
(*.f32 #s(literal -3 binary32) (/.f32 x s))
(* -3 (/ x s))
(*.f32 #s(literal -3 binary32) (/.f32 x s))
(* -3 (/ x s))
(*.f32 #s(literal -3 binary32) (/.f32 x s))
(* 1/2 (/ x s))
(*.f32 #s(literal 1/2 binary32) (/.f32 x s))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 x))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 x))
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 x))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (/.f32 (neg.f32 x) s))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (/.f32 (neg.f32 x) s))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (/.f32 (neg.f32 x) s))
(- (exp (* -1 (/ x s))) 1)
(expm1.f32 (/.f32 (neg.f32 x) s))
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
(-.f32 (+.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)))
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
(-.f32 (+.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)))
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
(-.f32 (+.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)))
(- (+ 1 (exp (* -2 (/ x s)))) (exp (* -1 (/ x s))))
(-.f32 (+.f32 (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) #s(literal 1 binary32)) (exp.f32 (/.f32 (neg.f32 x) s)))

rewrite240.0ms (2.8%)

Memory

8.3MiB live, 200.7MiB allocated

Rules

4 644×	`lower-*.f64`
4 638×	`lower-*.f32`
3 850×	`lower-fma.f64`
3 846×	`lower-fma.f32`
3 698×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	187
0	66	167
1	274	167
2	1909	167
0	8720	167

Stop Event

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

Counts

20 → 927

Calls

Call 1

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

Outputs
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eval466.0ms (5.4%)

Memory: -4.2MiB live, 228.7MiB allocated
Compiler: Compiled 39 499 to 3 981 computations (89.9% saved)

prune152.0ms (1.7%)

Memory

-16.3MiB live, 199.9MiB allocated

Pruning

45 alts after pruning (40 fresh and 5 done)

	Pruned	Kept	Total
New	1 548	33	1 581
Fresh	4	7	11
Picked	1	4	5
Done	0	1	1
Total	1 553	45	1 598

Accuracy

99.9%

Counts

1 598 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
	99.1%	(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	47.7%	(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
	49.5%	(/.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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
	47.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))))
	99.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) #s(literal 1/3 binary32)) (/.f32 (neg.f32 x) s))))
	47.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.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)))))
	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
✓	99.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
▶	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
	65.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s))))))
	64.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
	99.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 (.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	38.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
	35.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
	18.2%	(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg 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))))
	38.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
	38.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
▶	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
✓	35.8%	(/.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))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)) #s(literal 2 binary32))))
▶	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	50.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (.f32 (.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s))) (/.f32 (neg.f32 x) s))))
	28.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s))))
	33.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
	47.7%	(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	18.2%	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32))) (-.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
	35.8%	#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
▶	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
✓	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
	24.3%	#s(approx (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -3/4 binary32) x (*.f32 #s(literal 1/2 binary32) x)) s)))

Compiler

Compiled 1 295 to 1 025 computations (20.8% saved)

simplify236.0ms (2.7%)

Memory

19.6MiB live, 132.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f32 (/.f32 (neg.f32 x) s))
cost-diff	0	(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
cost-diff	0	(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
cost-diff	0	(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
cost-diff	0	(fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 2 binary32))))
cost-diff	416	(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)
cost-diff	0	(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
cost-diff	0	(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
cost-diff	0	(/.f32 x s)
cost-diff	0	(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
cost-diff	0	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
cost-diff	192	(/.f32 (/.f32 x s) #s(literal 2 binary32))

Rules

5 406×	`lower-fma.f64`
5 398×	`lower-fma.f32`
2 590×	`lower-*.f64`
2 588×	`lower-*.f32`
1 342×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	326
0	70	323
1	101	323
2	150	323
3	255	311
4	423	311
5	824	311
6	1956	311
7	3562	311
8	4591	311
9	5575	311
10	6045	311
11	6170	311
12	6224	311
13	6651	311
14	7144	311
15	7426	311
16	7773	311
17	7853	311
18	7877	311
19	7969	311
0	8129	311

Stop Event

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

Calls

Call 1

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

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

localize178.0ms (2%)

Memory

-2.7MiB live, 270.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))
accuracy	0.05859375	(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))
accuracy	0.10683391339056883	(exp.f32 (/.f32 (neg.f32 x) s))
accuracy	0.24101298104868077	(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
accuracy	0.0625	(-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x))
accuracy	0.16796875	(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)
accuracy	13.781247413865088	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 2 binary32)))
accuracy	21.21199457335756	(fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 2 binary32))
accuracy	0.046875	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
accuracy	13.781247413865088	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))
accuracy	21.373539481251402	(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))
accuracy	22.130699188748935	(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))
accuracy	0	(/.f32 x s)
accuracy	13.664884161137996	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
accuracy	20.83610210222316	(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))
accuracy	0.0234375	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))))
accuracy	0.046875	(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))
accuracy	0.046875	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
accuracy	0.09800886380118842	(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))

Samples

104.0ms	183×	0	valid
35.0ms	73×	0	exit

Compiler

Compiled 240 to 37 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-div: 51.0ms (57.8% of total)

ival-pow: 10.0ms (11.3% of total)

ival-add: 9.0ms (10.2% of total)

ival-mult: 7.0ms (7.9% of total)

ival-exp: 5.0ms (5.7% of total)

ival-pow2: 2.0ms (2.3% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series72.0ms (0.8%)

Memory

-7.2MiB live, 67.9MiB allocated

Counts

21 → 504

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	((/ (/ x s) 2) (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (/ x s) 2))))) (+ 1 (/ 1 (pow (exp 2) (/ (/ x s) 2)))) (/ 1 (pow (exp 2) (/ (/ x s) 2))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (+ (* (/ 1/2 s) x) -1) (/ x s)) 2) (+ (* (/ 1/2 s) x) -1) (* (- (/ 1/2 s) (/ 1 x)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (pow (exp 2) (/ (/ x s) 2)) (- (/ 1/2 s) (/ 1 x)))
8.0ms	x	@	inf	((/ (/ x s) 2) (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (/ x s) 2))))) (+ 1 (/ 1 (pow (exp 2) (/ (/ x s) 2)))) (/ 1 (pow (exp 2) (/ (/ x s) 2))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (+ (* (/ 1/2 s) x) -1) (/ x s)) 2) (+ (* (/ 1/2 s) x) -1) (* (- (/ 1/2 s) (/ 1 x)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (pow (exp 2) (/ (/ x s) 2)) (- (/ 1/2 s) (/ 1 x)))
3.0ms	x	@	-inf	((/ (/ x s) 2) (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (/ x s) 2))))) (+ 1 (/ 1 (pow (exp 2) (/ (/ x s) 2)))) (/ 1 (pow (exp 2) (/ (/ x s) 2))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (+ (* (/ 1/2 s) x) -1) (/ x s)) 2) (+ (* (/ 1/2 s) x) -1) (* (- (/ 1/2 s) (/ 1 x)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (pow (exp 2) (/ (/ x s) 2)) (- (/ 1/2 s) (/ 1 x)))
3.0ms	s	@	0	((/ (/ x s) 2) (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (/ x s) 2))))) (+ 1 (/ 1 (pow (exp 2) (/ (/ x s) 2)))) (/ 1 (pow (exp 2) (/ (/ x s) 2))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (+ (* (/ 1/2 s) x) -1) (/ x s)) 2) (+ (* (/ 1/2 s) x) -1) (* (- (/ 1/2 s) (/ 1 x)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (pow (exp 2) (/ (/ x s) 2)) (- (/ 1/2 s) (/ 1 x)))
2.0ms	s	@	inf	((/ (/ x s) 2) (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (/ x s) 2))))) (+ 1 (/ 1 (pow (exp 2) (/ (/ x s) 2)))) (/ 1 (pow (exp 2) (/ (/ x s) 2))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (+ (* (/ 1/2 s) x) -1) (/ x s)) 2) (+ (* (/ 1/2 s) x) -1) (* (- (/ 1/2 s) (/ 1 x)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (pow (exp 2) (/ (/ x s) 2)) (- (/ 1/2 s) (/ 1 x)))

simplify189.0ms (2.2%)

Memory

10.0MiB live, 260.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 328×	`lower-fma.f64`
13 328×	`lower-fma.f32`
4 004×	`lower-*.f64`
4 004×	`lower-*.f32`
3 140×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	374	4660
1	1121	4279
2	3550	4088
0	8224	3893

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

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

rewrite248.0ms (2.8%)

Memory

-4.0MiB live, 259.4MiB allocated

Rules

4 628×	`lower-*.f64`
4 626×	`lower-*.f32`
4 358×	`lower-/.f64`
4 340×	`lower-/.f32`
3 212×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	260
0	70	255
1	284	252
2	2068	251
0	8787	249

Stop Event

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

Counts

21 → 691

Calls

Call 1

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

Outputs
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eval177.0ms (2%)

Memory: -2.3MiB live, 279.0MiB allocated
Compiler: Compiled 25 078 to 3 704 computations (85.2% saved)

prune81.0ms (0.9%)

Memory

30.6MiB live, 232.0MiB allocated

Pruning

57 alts after pruning (50 fresh and 7 done)

	Pruned	Kept	Total
New	1 320	28	1 348
Fresh	13	22	35
Picked	3	2	5
Done	0	5	5
Total	1 336	57	1 393

Accuracy

99.9%

Counts

1 393 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
	47.7%	(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
	49.5%	(/.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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
	66.1%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 x s)) #s(literal -3/2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) (.f32 (/.f32 x s) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (.f32 (/.f32 x s) #s(literal -1/2 binary32)))))))
	47.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))))
	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 1 binary32)))
	99.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) #s(literal 1/3 binary32)) (/.f32 (neg.f32 x) s))))
	99.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))))
	47.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.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)))))
✓	99.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
▶	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
	64.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (/ x s) 2)) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))))))
	64.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (/ x s) 2)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
	65.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s))))))
	99.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 (.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	35.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
	18.2%	(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg 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))))
	38.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
	38.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	38.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (pow (exp 2) (/ (/ x s) 2)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
✓	35.8%	(/.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))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1 binary32) x)))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (*.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (-.f32 x (.f32 (.f32 #s(literal 2 binary32) s) #s(literal 1 binary32))) (.f32 (*.f32 #s(literal 2 binary32) s) x)) x)) #s(literal 2 binary32))))
▶	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
✓	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 2 binary32))))
▶	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) x)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(approx (- (/ 1/2 s) (/ 1 x)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x)) x)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (- (/ 1/2 s) (/ 1 x)) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(approx (+ ( (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 x s) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
▶	33.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
	47.7%	(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	18.2%	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32))) (-.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
	35.8%	#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
▶	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/2 binary32)))
	29.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
✓	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
	24.3%	#s(approx (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -3/4 binary32) x (*.f32 #s(literal 1/2 binary32) x)) s)))

Compiler

Compiled 1 674 to 1 314 computations (21.5% saved)

simplify140.0ms (1.6%)

Memory

-12.0MiB live, 139.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	128	(*.f32 (neg.f32 s) (neg.f32 x))
cost-diff	128	(neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32))))
cost-diff	224	(*.f32 (neg.f32 s) #s(literal -1 binary32))
cost-diff	416	(.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)
cost-diff	0	(fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
cost-diff	416	(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)
cost-diff	0	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
cost-diff	0	#s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))
cost-diff	0	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
cost-diff	0	(/.f32 x s)
cost-diff	0	(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
cost-diff	0	(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s))
cost-diff	0	(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))
cost-diff	0	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))

Rules

3 768×	`lower-fma.f64`
3 764×	`lower-fma.f32`
2 180×	`lower-*.f64`
2 164×	`lower-*.f32`
1 492×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	563
0	93	497
1	169	487
2	403	466
3	1685	466
4	4506	466
5	6170	466
6	6988	466
7	7348	466
8	7419	466
9	7434	466
10	7688	466
0	8132	441

Stop Event

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

Calls

Call 1

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

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

localize151.0ms (1.7%)

Memory

22.4MiB live, 260.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)
accuracy	5.42608875674644	(/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (*.f32 (neg.f32 s) (neg.f32 x))))
accuracy	13.781247413865088	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32)))
accuracy	21.631371378609522	(fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))
accuracy	0.0625	(+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x))
accuracy	0.16796875	(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)
accuracy	13.781247413865088	#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32)))
accuracy	21.58192516619769	(fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))
accuracy	1.7699335675798373	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)
accuracy	3.461412668142326	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) x)
accuracy	8.712534986428356	#s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))
accuracy	13.781247413865088	#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))
accuracy	0	(/.f32 x s)
accuracy	13.664884161137996	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
accuracy	21.500634824514183	(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))
accuracy	0.0234375	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s))))
accuracy	0.046875	(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))
accuracy	0.046875	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
accuracy	0.09800886380118842	(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s))

Samples

74.0ms	183×	0	valid
43.0ms	73×	0	exit

Compiler

Compiled 331 to 46 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-div: 38.0ms (44.5% of total)

ival-mult: 18.0ms (21.1% of total)

ival-exp: 10.0ms (11.7% of total)

ival-add: 6.0ms (7% of total)

ival-neg: 5.0ms (5.9% of total)

ival-pow: 5.0ms (5.9% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series56.0ms (0.6%)

Memory

-2.2MiB live, 109.5MiB allocated

Counts

24 → 564

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s)))) (/ 1 (pow (exp 2) (/ (* 1/2 x) s))) (pow (exp 2) (/ (* 1/2 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (* (* (/ 1/2 (* s s)) x) x) (* (+ (/ 1/2 s) (/ -1 x)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (* (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) x) (* (neg s) -1) (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (* (neg s) (neg x)) (* (/ 1/2 (* s s)) x) (+ (/ 1/2 s) (/ -1 x)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (+ 1 (exp (/ (neg x) s))) (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))))
4.0ms	s	@	-inf	((/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s)))) (/ 1 (pow (exp 2) (/ (* 1/2 x) s))) (pow (exp 2) (/ (* 1/2 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (* (* (/ 1/2 (* s s)) x) x) (* (+ (/ 1/2 s) (/ -1 x)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (* (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) x) (* (neg s) -1) (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (* (neg s) (neg x)) (* (/ 1/2 (* s s)) x) (+ (/ 1/2 s) (/ -1 x)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (+ 1 (exp (/ (neg x) s))) (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))))
4.0ms	x	@	inf	((/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s)))) (/ 1 (pow (exp 2) (/ (* 1/2 x) s))) (pow (exp 2) (/ (* 1/2 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (* (* (/ 1/2 (* s s)) x) x) (* (+ (/ 1/2 s) (/ -1 x)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (* (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) x) (* (neg s) -1) (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (* (neg s) (neg x)) (* (/ 1/2 (* s s)) x) (+ (/ 1/2 s) (/ -1 x)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (+ 1 (exp (/ (neg x) s))) (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))))
4.0ms	s	@	0	((/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s)))) (/ 1 (pow (exp 2) (/ (* 1/2 x) s))) (pow (exp 2) (/ (* 1/2 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (* (* (/ 1/2 (* s s)) x) x) (* (+ (/ 1/2 s) (/ -1 x)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (* (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) x) (* (neg s) -1) (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (* (neg s) (neg x)) (* (/ 1/2 (* s s)) x) (+ (/ 1/2 s) (/ -1 x)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (+ 1 (exp (/ (neg x) s))) (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))))
3.0ms	x	@	0	((/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s)))) (/ 1 (pow (exp 2) (/ (* 1/2 x) s))) (pow (exp 2) (/ (* 1/2 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (* (* (/ 1/2 (* s s)) x) x) (* (+ (/ 1/2 s) (/ -1 x)) x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (* (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) x) (* (neg s) -1) (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (* (neg s) (neg x)) (* (/ 1/2 (* s s)) x) (+ (/ 1/2 s) (/ -1 x)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (+ 1 (exp (/ (neg x) s))) (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))))

simplify224.0ms (2.6%)

Memory

10.0MiB live, 428.0MiB allocated

Algorithm

1×	egg-herbie

Rules

24 934×	`lower-fma.f64`
24 934×	`lower-fma.f32`
5 010×	`lower-+.f64`
5 010×	`lower-+.f32`
4 074×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	4873
1	948	4542
2	3050	4340
0	8563	4149

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 549

Calls

Call 1

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

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

rewrite264.0ms (3%)

Memory

-8.7MiB live, 254.6MiB allocated

Rules

5 250×	`lower-*.f64`
5 234×	`lower-*.f32`
3 624×	`lower-/.f64`
3 604×	`lower-/.f32`
2 406×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	399
0	91	355
1	360	330
2	2905	322
0	8667	310

Stop Event

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

Counts

24 → 685

Calls

Call 1

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

Outputs
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eval162.0ms (1.9%)

Memory: -6.3MiB live, 266.9MiB allocated
Compiler: Compiled 27 048 to 3 382 computations (87.5% saved)

prune173.0ms (2%)

Memory

2.7MiB live, 285.7MiB allocated

Pruning

89 alts after pruning (79 fresh and 10 done)

	Pruned	Kept	Total
New	1 376	44	1 420
Fresh	10	35	45
Picked	1	4	5
Done	1	6	7
Total	1 388	89	1 477

Accuracy

99.9%

Counts

1 477 → 89

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
	47.7%	(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))))
	49.5%	(/.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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
	66.1%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 x s)) #s(literal -3/2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) (.f32 (/.f32 x s) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (.f32 (/.f32 x s) #s(literal -1/2 binary32)))))))
	47.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))))
	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 1 binary32)))
	99.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) #s(literal 1/3 binary32)) (/.f32 (neg.f32 x) s))))
	99.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))))
	47.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.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)))))
✓	99.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))))
	64.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (/ x s) 2)) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))))))
	64.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (/ x s) 2)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
	64.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (* 1/2 x) s)) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))))))
	65.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s))))))
	99.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 (.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))))))
✓	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	35.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
	18.2%	(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg 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))))
	38.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
	38.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
	38.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (pow (exp 2) (/ (/ x s) 2)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
	38.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal -1 binary32)))) (.f32 s s)) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
✓	35.8%	(/.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))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1 binary32) x)))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (/.f32 #s(literal -1 binary32) x) x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (*.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x) (.f32 (neg.f32 s) x))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (neg.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x)) (.f32 s x))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x s) #s(literal -1 binary32)) (/.f32 x (.f32 s x)))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 s x)) (.f32 (.f32 (neg.f32 s) x) (fma.f32 #s(literal -1/2 binary32) x s))) (.f32 (.f32 (neg.f32 s) x) (.f32 s x))) x)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (-.f32 x (.f32 (.f32 #s(literal 2 binary32) s) #s(literal 1 binary32))) (.f32 (*.f32 #s(literal 2 binary32) s) x)) x)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) x) s) (neg.f32 (*.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1/2 binary32) x s)) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 s) x)))) x)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 x s))) x)) #s(literal 2 binary32))))
✓	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 #s(approx (/ (neg (- ( -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (neg.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x) (.f32 s x)))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (- (/ 1/2 s) (/ 1 x)) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(approx (+ ( (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(approx (+ ( (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
✓	33.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
	47.7%	(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
	18.2%	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32))) (-.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))))
	35.8%	#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (neg.f32 s) x)) (neg.f32 s)) (.f32 (neg.f32 s) (/.f32 (neg.f32 s) x))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal -1 binary32)))) (.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal 1 binary32)))) (.f32 (neg.f32 s) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x #s(literal 1/2 binary32))) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) x)) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
✓	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x #s(literal 1/2 binary32)))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/2 binary32)))
	29.9%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
✓	35.8%	#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
	24.3%	#s(approx (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -3/4 binary32) x (*.f32 #s(literal 1/2 binary32) x)) s)))

Compiler

Compiled 3 245 to 1 676 computations (48.4% saved)

regimes250.0ms (2.9%)

Memory

20.1MiB live, 477.7MiB allocated

Counts

122 → 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 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#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 (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -3/4 binary32) x (*.f32 #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 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x #s(literal 1/2 binary32))) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (- (/ 1/2 s) (/ 1 x)) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) x)) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x #s(literal 1/2 binary32)))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (/ x s) 2)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal 1 binary32)))) (.f32 (neg.f32 s) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal -1 binary32)))) (.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 (*.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 (/ 1 (pow (exp 2) (/ (* 1/2 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 (/ 1 (pow (exp 2) (/ (/ x s) 2)))) (-.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 (pow (E) (/ (neg 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) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) 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))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg 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 (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.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) #s(approx (+ (* (/ 1/2 s) x) -1) (neg.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x) (.f32 s x)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (neg.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x)) (.f32 s x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x) (.f32 (neg.f32 s) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 #s(approx (/ (neg (- ( -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (neg.f32 s) x)) (neg.f32 s)) (.f32 (neg.f32 s) (/.f32 (neg.f32 s) x))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(approx (- (/ 1/2 s) (/ 1 x)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (*.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (/.f32 #s(literal -1 binary32) x) x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1 binary32) x)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (* 1/2 x) s)) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (/ x s) 2)) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (.f32 (.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s))) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(approx (+ ( (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) x) s) (neg.f32 (*.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.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))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1/2 binary32) x s)) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(approx (+ ( (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x s) #s(literal -1 binary32)) (/.f32 x (.f32 s x)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (-.f32 x (.f32 (.f32 #s(literal 2 binary32) s) #s(literal 1 binary32))) (.f32 (*.f32 #s(literal 2 binary32) s) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 x s))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x 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))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 s) x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x 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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 s x)) (.f32 (.f32 (neg.f32 s) x) (fma.f32 #s(literal -1/2 binary32) x s))) (.f32 (.f32 (neg.f32 s) x) (.f32 s x))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal -1 binary32)))) (.f32 s s)) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (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 (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.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) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal 3 binary32)) #s(literal 1/3 binary32)) (/.f32 (neg.f32 x) s))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (.f32 (/.f32 x s) #s(literal -3 binary32))) #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 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.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)))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32))) (-.f32 (exp.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) (.f32 (pow.f32 (.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32))) (/.f32 (/.f32 x s) #s(literal -2 binary32))) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (/.f32 x s) #s(literal -2 binary32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -3 binary32)) (/.f32 x s)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)) (expm1.f32 (/.f32 (neg.f32 x) s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 x s)) #s(literal -3/2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 #s(literal 4 binary32)) (.f32 (/.f32 x s) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (.f32 (/.f32 x s) #s(literal -1/2 binary32)))))))

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))

Calls

7 calls:

42.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
37.0ms	x
37.0ms	(neg.f32 x)
34.0ms	s
32.0ms	(/.f32 (neg.f32 x) s)

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`s`
99.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
99.7%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
99.7%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
99.7%	1	`(/.f32 (neg.f32 x) s)`
99.7%	1	`(neg.f32 x)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes207.0ms (2.4%)

Memory

1.3MiB live, 521.2MiB allocated

Counts

106 → 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 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#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 (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -3/4 binary32) x (*.f32 #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 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x #s(literal 1/2 binary32))) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (- (/ 1/2 s) (/ 1 x)) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) x)) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x #s(literal 1/2 binary32)))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (/ x s) 2)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal 1 binary32)))) (.f32 (neg.f32 s) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal -1 binary32)))) (.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 (*.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 (/ 1 (pow (exp 2) (/ (* 1/2 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 (/ 1 (pow (exp 2) (/ (/ x s) 2)))) (-.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 (pow (E) (/ (neg 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) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) 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))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg 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 (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.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) #s(approx (+ (* (/ 1/2 s) x) -1) (neg.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x) (.f32 s x)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (neg.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x)) (.f32 s x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x) (.f32 (neg.f32 s) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 #s(approx (/ (neg (- ( -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (neg.f32 s) x)) (neg.f32 s)) (.f32 (neg.f32 s) (/.f32 (neg.f32 s) x))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(approx (- (/ 1/2 s) (/ 1 x)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (*.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (/.f32 #s(literal -1 binary32) x) x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1 binary32) x)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (* 1/2 x) s)) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (/ x s) 2)) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (.f32 (.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s))) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(approx (+ ( (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) x) s) (neg.f32 (*.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.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))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1/2 binary32) x s)) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(approx (+ ( (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x s) #s(literal -1 binary32)) (/.f32 x (.f32 s x)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (-.f32 x (.f32 (.f32 #s(literal 2 binary32) s) #s(literal 1 binary32))) (.f32 (*.f32 #s(literal 2 binary32) s) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 x s))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x 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))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 s) x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x 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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 s x)) (.f32 (.f32 (neg.f32 s) x) (fma.f32 #s(literal -1/2 binary32) x s))) (.f32 (.f32 (neg.f32 s) x) (.f32 s x))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal -1 binary32)))) (.f32 s s)) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (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 (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal -2 binary32)))))

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

Calls

7 calls:

35.0ms	(neg.f32 x)
33.0ms	x
29.0ms	s
28.0ms	(/.f32 (neg.f32 x) s)
27.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`s`
99.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
99.7%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
99.7%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
99.7%	1	`(/.f32 (neg.f32 x) s)`
99.7%	1	`(neg.f32 x)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes243.0ms (2.8%)

Memory

-37.3MiB live, 503.4MiB allocated

Counts

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

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

Calls

7 calls:

61.0ms	x
49.0ms	(/.f32 (neg.f32 x) s)
29.0ms	(neg.f32 x)
27.0ms	s
24.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`s`
99.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
99.7%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
99.7%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
99.7%	1	`(/.f32 (neg.f32 x) s)`
99.7%	1	`(neg.f32 x)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes229.0ms (2.6%)

Memory

10.6MiB live, 335.5MiB allocated

Counts

103 → 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 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#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 (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -3/4 binary32) x (*.f32 #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 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x #s(literal 1/2 binary32))) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (- (/ 1/2 s) (/ 1 x)) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) x)) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x #s(literal 1/2 binary32)))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (/ x s) 2)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal 1 binary32)))) (.f32 (neg.f32 s) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal -1 binary32)))) (.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 (*.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 (/ 1 (pow (exp 2) (/ (* 1/2 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 (/ 1 (pow (exp 2) (/ (/ x s) 2)))) (-.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 (pow (E) (/ (neg 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) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) 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))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg 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 (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.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) #s(approx (+ (* (/ 1/2 s) x) -1) (neg.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x) (.f32 s x)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (neg.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x)) (.f32 s x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x) (.f32 (neg.f32 s) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 #s(approx (/ (neg (- ( -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (neg.f32 s) x)) (neg.f32 s)) (.f32 (neg.f32 s) (/.f32 (neg.f32 s) x))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(approx (- (/ 1/2 s) (/ 1 x)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (*.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (/.f32 #s(literal -1 binary32) x) x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1 binary32) x)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (* 1/2 x) s)) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (/ x s) 2)) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (.f32 (.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s))) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(approx (+ ( (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) x) s) (neg.f32 (*.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.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))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1/2 binary32) x s)) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(approx (+ ( (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x s) #s(literal -1 binary32)) (/.f32 x (.f32 s x)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (-.f32 x (.f32 (.f32 #s(literal 2 binary32) s) #s(literal 1 binary32))) (.f32 (*.f32 #s(literal 2 binary32) s) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 x s))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x 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))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 s) x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x 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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 s x)) (.f32 (.f32 (neg.f32 s) x) (fma.f32 #s(literal -1/2 binary32) x s))) (.f32 (.f32 (neg.f32 s) x) (.f32 s x))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal -1 binary32)))) (.f32 s s)) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (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:

69.0ms	x
33.0ms	s
28.0ms	(neg.f32 x)
28.0ms	(/.f32 (neg.f32 x) s)
22.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`s`
99.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
99.7%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
99.7%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
99.7%	1	`(/.f32 (neg.f32 x) s)`
99.7%	1	`(neg.f32 x)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes211.0ms (2.4%)

Memory

2.6MiB live, 310.7MiB allocated

Counts

101 → 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 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#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 (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -3/4 binary32) x (*.f32 #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 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x #s(literal 1/2 binary32))) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (- (/ 1/2 s) (/ 1 x)) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) x)) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x #s(literal 1/2 binary32)))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (/ x s) 2)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal 1 binary32)))) (.f32 (neg.f32 s) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal -1 binary32)))) (.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 (*.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 (/ 1 (pow (exp 2) (/ (* 1/2 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 (/ 1 (pow (exp 2) (/ (/ x s) 2)))) (-.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 (pow (E) (/ (neg 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) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) 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))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg 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 (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.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) #s(approx (+ (* (/ 1/2 s) x) -1) (neg.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x) (.f32 s x)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (neg.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x)) (.f32 s x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x) (.f32 (neg.f32 s) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 #s(approx (/ (neg (- ( -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (neg.f32 s) x)) (neg.f32 s)) (.f32 (neg.f32 s) (/.f32 (neg.f32 s) x))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(approx (- (/ 1/2 s) (/ 1 x)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (*.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (/.f32 #s(literal -1 binary32) x) x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1 binary32) x)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (* 1/2 x) s)) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (/ x s) 2)) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (.f32 (.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s))) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(approx (+ ( (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) x) s) (neg.f32 (*.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.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))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 #s(literal -1/2 binary32) x s)) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(approx (+ ( (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal 1/2 binary32) s) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x s) #s(literal -1 binary32)) (/.f32 x (.f32 s x)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (-.f32 x (.f32 (.f32 #s(literal 2 binary32) s) #s(literal 1 binary32))) (.f32 (*.f32 #s(literal 2 binary32) s) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 x s))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x 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))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 s) x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x 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)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 s x)) (.f32 (.f32 (neg.f32 s) x) (fma.f32 #s(literal -1/2 binary32) x s))) (.f32 (.f32 (neg.f32 s) x) (.f32 s x))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal -1 binary32)))) (.f32 s s)) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 x)) (.f32 (neg.f32 s) #s(literal -1 binary32)))) (neg.f32 (.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))

Outputs

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

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

Calls

7 calls:

41.0ms	s
32.0ms	x
31.0ms	(/.f32 (neg.f32 x) s)
30.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
28.0ms	(neg.f32 x)

Results

Accuracy	Segments	Branch
87.1%	2	`x`
65.3%	1	`s`
91.4%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
91.4%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
91.4%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
91.4%	2	`(/.f32 (neg.f32 x) s)`
87.1%	2	`(neg.f32 x)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes109.0ms (1.3%)

Memory

22.5MiB live, 144.5MiB allocated

Counts

87 → 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 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#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 (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -3/4 binary32) x (*.f32 #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 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x #s(literal 1/2 binary32))) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (- (/ 1/2 s) (/ 1 x)) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) x)) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x #s(literal 1/2 binary32)))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (/ x s) 2)) (+.f32 #s(literal 1 binary32) (/.f32 x s))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal 1 binary32)))) (.f32 (neg.f32 s) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) (.f32 (neg.f32 x) #s(literal -1 binary32)))) (.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (+.f32 (*.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 (/ 1 (pow (exp 2) (/ (* 1/2 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 (/ 1 (pow (exp 2) (/ (/ x s) 2)))) (-.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 (pow (E) (/ (neg 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) (+.f32 #s(literal 1 binary32) #s(approx (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 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) 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))) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg 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 (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal 2 binary32) s) x) s (.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) #s(approx (+ (* (/ 1/2 s) x) -1) (neg.f32 (/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x) (.f32 s x)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (neg.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x)) (.f32 s x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) x s) x) (.f32 (neg.f32 s) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 #s(approx (/ (neg (- ( -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 2 binary32))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (neg.f32 s) x)) (neg.f32 s)) (.f32 (neg.f32 s) (/.f32 (neg.f32 s) x))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(approx (- (/ 1/2 s) (/ 1 x)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) (*.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (/.f32 #s(literal -1 binary32) x) x (*.f32 (/.f32 x s) #s(literal 1/2 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) (*.f32 x (/.f32 #s(literal -1 binary32) x)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (* 1/2 x) s)) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (pow (exp 2) (/ (/ x s) 2)) (+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (+.f32 #s(literal 2 binary32) (.f32 (.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s))) (/.f32 (neg.f32 x) s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) x)) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (.f32 #s(approx (+ ( (/ 1/2 s) x) -1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (.f32 (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) x) s) (neg.f32 (*.f32 (neg.f32 s) (neg.f32 x)))) x)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) s) x) (.f32 (/.f32 #s(literal -1 binary32) x) x))) #s(literal 2 binary32))))

Outputs

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

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

Calls

4 calls:

48.0ms	(/.f32 (neg.f32 x) s)
20.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
19.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
18.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))

Results

Accuracy	Segments	Branch
90.2%	2	`(/.f32 (neg.f32 x) s)`
90.2%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
90.2%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
90.2%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes89.0ms (1%)

Memory

-20.2MiB live, 145.0MiB allocated

Counts

44 → 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 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#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 (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -3/4 binary32) x (*.f32 #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 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x #s(literal 1/2 binary32))) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (- (/ 1/2 s) (/ 1 x)) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) x)) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x #s(literal 1/2 binary32)))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 s)) (.f32 (neg.f32 s) x)) (*.f32 s s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))

Outputs

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

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

Calls

7 calls:

17.0ms	x
13.0ms	(/.f32 (neg.f32 x) s)
13.0ms	(neg.f32 x)
13.0ms	(exp.f32 (/.f32 (neg.f32 x) s))
12.0ms	s

Results

Accuracy	Segments	Branch
46.3%	2	`s`
58.3%	2	`x`
58.3%	2	`(neg.f32 x)`
61.9%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
61.9%	2	`(/.f32 (neg.f32 x) s)`
61.9%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
61.9%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes65.0ms (0.7%)

Memory

8.4MiB live, 123.4MiB allocated

Counts

41 → 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 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#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 (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -3/4 binary32) x (*.f32 #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 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x #s(literal 1/2 binary32))) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (- (/ 1/2 s) (/ 1 x)) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) x)) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 2 binary32) (/.f32 s (*.f32 x #s(literal 1/2 binary32)))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) s) (.f32 s x)) (*.f32 (neg.f32 s) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))

Outputs

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

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

Calls

6 calls:

12.0ms	x
11.0ms	(neg.f32 x)
11.0ms	(/.f32 (neg.f32 x) s)
10.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
10.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
47.0%	2	`x`
47.0%	2	`(neg.f32 x)`
47.6%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
47.6%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
47.6%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
47.6%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 28 to 29 computations (-3.6% saved)

regimes39.0ms (0.4%)

Memory

9.4MiB live, 88.2MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#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 (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -3/4 binary32) x (*.f32 #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 x s))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 (/.f32 x s) #s(literal 1/2 binary32))) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (.f32 (.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x #s(literal 1/2 binary32))) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 s x)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (- (/ 1/2 s) (/ 1 x)) x) #s(literal -1 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(approx (* (/ (neg (- (* -1/2 (neg x)) (* (neg s) -1))) (neg (* (neg s) (neg x)))) 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 (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))

Calls

4 calls:

12.0ms	(/.f32 (neg.f32 x) s)
10.0ms	(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))
8.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
7.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Results

Accuracy	Segments	Branch
47.5%	2	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
47.5%	2	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
47.5%	2	`(exp.f32 (/.f32 (neg.f32 x) s))`
47.5%	2	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 25 to 24 computations (4% saved)

regimes50.0ms (0.6%)

Memory

-8.1MiB live, 109.9MiB allocated

Accuracy

Total -7.2b remaining (-35%)

Threshold costs -7.2b (-35%)

Counts

22 → 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 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)))
#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 (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (/ 1 (pow (exp 2) (/ (* 1/2 x) s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))
#s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) 2) -1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 0 binary32)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))
#s(approx (* (/ 1 (+ (exp (* (/ x s) -3)) 1)) (- (exp (* (/ x s) -2)) (- (exp (/ (neg x) s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -3/4 binary32) x (*.f32 #s(literal 1/2 binary32) x)) s)))

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

Calls

7 calls:

11.0ms	x
9.0ms	(/.f32 (neg.f32 x) s)
6.0ms	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))
6.0ms	(neg.f32 x)
6.0ms	s

Results

Accuracy	Segments	Branch
35.8%	1	`s`
35.8%	1	`x`
35.8%	1	`(neg.f32 x)`
35.8%	1	`(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))`
35.8%	1	`(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))`
35.8%	1	`(exp.f32 (/.f32 (neg.f32 x) s))`
35.8%	1	`(/.f32 (neg.f32 x) s)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	186711293952.0	69624890201735170.0

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	186711293952.0	69624890201735170.0

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	186711293952.0	69624890201735170.0

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-10.204885482788086	-0.5489059686660767

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-10.204885482788086	-0.5489059686660767

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify46.0ms (0.5%)

Memory

-9.6MiB live, 98.2MiB allocated

Algorithm

1×	egg-herbie

Rules

168×	`distribute-lft-neg-in-binary32-*.f32-neg.f32`
114×	`unsub-neg-binary32--.f32-neg.f32-+.f32`
104×	`neg-mul-1-binary32-*.f32-neg.f32`
82×	`neg-sub0-binary32--.f32-neg.f32`
64×	`+-commutative-binary32-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	296
1	105	296
2	120	296
3	133	296
4	161	296
5	210	296
6	301	296
7	411	296
8	511	296
9	566	296
10	599	296
11	606	296
12	607	296

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 199999995904 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 199999995904 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 199999995904 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) 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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -10 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) x) s)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (*.f32 x #s(literal 1/2 binary32)) s))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/2 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))))
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 199999995904 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 x (/.f32 x s)) #s(literal -1/2 binary32)) x) s)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 199999995904 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 (/.f32 x s) x) #s(literal -1/2 binary32)) x) s)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 199999995904 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 199999995904 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 199999995904 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 2) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) 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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))))
(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) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))))
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -10 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32))

soundness1.5s (17%)

Memory

16.6MiB live, 946.2MiB allocated

Rules

40 054×	`lower-fma.f64`
40 054×	`lower-fma.f32`
11 842×	`lower-fma.f64`
11 842×	`lower-fma.f32`
4 644×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	260
0	70	255
1	284	252
2	2068	251
0	8787	249
0	705	5063
1	2269	4625
2	7414	4553
0	8325	4319
0	39	187
0	66	167
1	274	167
2	1909	167
0	8720	167
0	140	857
1	378	768
2	1150	742
3	3902	722
0	8435	682
0	8	27
0	13	27
1	48	27
2	255	27
3	2101	27
0	8465	26

Stop Event

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

Compiler

Compiled 441 to 255 computations (42.2% saved)

preprocess44.0ms (0.5%)

Memory: 3.2MiB live, 124.5MiB allocated
Compiler: Compiled 378 to 146 computations (61.4% 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	78	296
1	105	296
2	120	296
3	133	296
4	161	296
5	210	296
6	301	296
7	411	296
8	511	296
9	566	296
10	599	296
11	606	296
12	607	296

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	78	296
1	105	296
2	120	296
3	133	296
4	161	296
5	210	296
6	301	296
7	411	296
8	511	296
9	566	296
10	599	296
11	606	296
12	607	296

start0.0ms (0%)

analyze40.0ms (0.5%)

sample912.0ms (10.5%)

explain93.0ms (1.1%)

preprocess31.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize22.0ms (0.2%)

series11.0ms (0.1%)

simplify239.0ms (2.7%)

rewrite157.0ms (1.8%)

eval246.0ms (2.8%)

prune68.0ms (0.8%)

simplify199.0ms (2.3%)

localize133.0ms (1.5%)

series69.0ms (0.8%)

simplify204.0ms (2.3%)

rewrite240.0ms (2.8%)

eval466.0ms (5.4%)

prune152.0ms (1.7%)

simplify236.0ms (2.7%)

localize178.0ms (2%)

series72.0ms (0.8%)

simplify189.0ms (2.2%)

rewrite248.0ms (2.8%)

eval177.0ms (2%)

prune81.0ms (0.9%)

simplify140.0ms (1.6%)

localize151.0ms (1.7%)

series56.0ms (0.6%)

simplify224.0ms (2.6%)

rewrite264.0ms (3%)

eval162.0ms (1.9%)

prune173.0ms (2%)

regimes250.0ms (2.9%)

regimes207.0ms (2.4%)

regimes243.0ms (2.8%)

regimes229.0ms (2.6%)

regimes211.0ms (2.4%)

regimes109.0ms (1.3%)

regimes89.0ms (1%)

regimes65.0ms (0.7%)

regimes39.0ms (0.4%)

regimes50.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify46.0ms (0.5%)

soundness1.5s (17%)

preprocess44.0ms (0.5%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	78	296
1	105	296
2	120	296
3	133	296
4	161	296
5	210	296
6	301	296
7	411	296
8	511	296
9	566	296
10	599	296
11	606	296
12	607	296