Metrics for Disney BSSRDF, PDF of scattering profile

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze66.0ms (0.5%)

Memory

9.7MiB live, 83.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	2.1%	97.9%	0%	0%	0%	0
0%	0%	2.1%	97.9%	0%	0%	0%	1
0%	0%	2.1%	97.9%	0%	0%	0%	2
25%	0.5%	1.5%	97.9%	0%	0%	0%	3
37.5%	0.8%	1.3%	97.9%	0%	0%	0%	4
56.2%	1.2%	0.9%	97.9%	0%	0%	0%	5
65.6%	1.3%	0.7%	97.9%	0%	0%	0%	6
76.6%	1.6%	0.5%	97.9%	0%	0%	0%	7
82%	1.7%	0.4%	97.9%	0%	0%	0%	8
87.9%	1.8%	0.2%	97.9%	0%	0%	0%	9
90.8%	1.9%	0.2%	97.9%	0%	0%	0%	10
93.8%	1.9%	0.1%	97.9%	0%	0%	0%	11
95.4%	2%	0.1%	97.9%	0%	0%	0%	12

Compiler

Compiled 49 to 37 computations (24.5% saved)

sample2.2s (16.4%)

Memory

43.4MiB live, 2 791.7MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 491.0ms (38.1% of total)

ival-div: 216.0ms (16.8% of total)

ival-exp: 159.0ms (12.3% of total)

const: 154.0ms (11.9% of total)

ival-pi: 47.0ms (3.6% of total)

ival-add: 47.0ms (3.6% of total)

ival-<=: 47.0ms (3.6% of total)

ival-neg: 38.0ms (2.9% of total)

ival-<: 36.0ms (2.8% of total)

exact: 29.0ms (2.3% of total)

ival-and: 22.0ms (1.7% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain398.0ms (3%)

Memory

8.7MiB live, 514.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
3	1	(4.738061761599965e-6 0.00048549450002610683)	3	(1.8433381683280459e-6 0.00011120890849269927)	`(exp.f32 (/.f32 (neg.f32 r) s))`
1	1	(0.08876889944076538 182.06326293945313)	1	(4.738061761599965e-6 0.00048549450002610683)	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`
1	0	-	1	(4.738061761599965e-6 0.00048549450002610683)	`(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))`
0	0	-	0	-	`(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)`
0	0	-	0	-	`(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)`
0	0	-	0	-	`(*.f32 #s(literal 6 binary32) (PI.f32))`
0	0	-	0	-	`(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))`
0	0	-	0	-	`(neg.f32 r)`
0	0	-	0	-	`s`
0	0	-	0	-	`(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))`
0	0	-	0	-	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
0	0	-	0	-	`#s(literal 3/4 binary32)`
0	0	-	0	-	`(/.f32 (neg.f32 r) s)`
0	0	-	0	-	`#s(literal 1/4 binary32)`
0	0	-	0	-	`(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)`
0	0	-	0	-	`(*.f32 #s(literal 3 binary32) s)`
0	0	-	0	-	`(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)`
0	0	-	0	-	`#s(literal 6 binary32)`
0	0	-	0	-	`r`
0	0	-	0	-	`#s(literal 3 binary32)`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) s))`	sensitivity	1	6
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	1	1
-	1	253

Precision

0.5

Recall

0.5

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	1	0
-	1	5	248

Precision?

0.25

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

210.0ms

512×

valid

Compiler

Compiled 329 to 79 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-div: 114.0ms (70.4% of total)

ival-mult: 26.0ms (16.1% of total)

ival-exp: 13.0ms (8% of total)

ival-pi: 2.0ms (1.2% of total)

ival-add: 2.0ms (1.2% of total)

ival-neg: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

preprocess233.0ms (1.7%)

Memory

30.9MiB live, 191.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 478×	`lower-/.f64`
5 470×	`lower-/.f32`
5 136×	`lower-*.f64`
5 118×	`lower-*.f32`
2 504×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	175
1	192	140
2	929	102
3	5143	102
0	25	33
0	43	33
1	83	28
2	252	22
3	889	20
4	2448	20
5	3159	20
6	3515	20
7	3918	20
8	4320	20
9	4332	20
10	5241	20
11	5436	20
12	5449	20
13	5451	20
14	5529	20
15	5529	20
0	8331	20

Stop Event

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

Calls

Call 1

Inputs

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Outputs

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

(*.f32 (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32))))

Compiler

Compiled 33 to 25 computations (24.2% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Status

Accuracy

Program

▶

99.6%

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify197.0ms (1.5%)

Memory

-9.0MiB live, 183.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (neg.f32 r) s)
cost-diff	0	(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff	64	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
cost-diff	1504	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Rules

5 478×	`lower-/.f64`
5 470×	`lower-/.f32`
5 136×	`lower-*.f64`
5 118×	`lower-*.f32`
2 504×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	146
0	43	146
1	83	133
2	252	125
3	889	121
4	2448	121
5	3159	121
6	3515	121
7	3918	121
8	4320	121
9	4332	121
10	5241	121
11	5436	121
12	5449	121
13	5451	121
14	5529	121
15	5529	121
0	8331	121

Stop Event

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

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)

Outputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(.f32 (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 s r) (PI.f32))))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (exp.f32 (/.f32 r s))) (*.f32 (PI.f32) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (cbrt.f32 (exp.f32 (/.f32 r s)))) (*.f32 (PI.f32) r))
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))
(/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)

localize87.0ms (0.7%)

Memory

6.1MiB live, 119.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2421875	(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy	0.25390625	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy	0.2734375	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy	0.37890625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)

Samples

36.0ms

256×

valid

Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 11.0ms (43.3% of total)

ival-div: 6.0ms (23.6% of total)

ival-exp: 4.0ms (15.8% of total)

ival-pi: 1.0ms (3.9% of total)

ival-add: 1.0ms (3.9% of total)

exact: 1.0ms (3.9% of total)

ival-neg: 1.0ms (3.9% of total)

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

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

series36.0ms (0.3%)

Memory

16.6MiB live, 83.5MiB allocated

Counts

7 → 156

Calls

Call 1

Inputs
#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)) (patch (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())
#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	r	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r))
8.0ms	s	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r))
4.0ms	s	@	0	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r))
3.0ms	s	@	-inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r))
3.0ms	r	@	-inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r))

simplify269.0ms (2%)

Memory

2.4MiB live, 322.6MiB allocated

Algorithm

1×	egg-herbie

Rules

31 230×	`lower-fma.f64`
31 230×	`lower-fma.f32`
5 262×	`lower-*.f64`
5 262×	`lower-*.f32`
3 498×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	1390
1	496	1337
2	1357	1298
3	3808	1258
0	8094	1235

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))

Outputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) r)) (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) r)) (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) r)) (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) r)) (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) s)
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* 2 (* s (PI)))
(.f32 (.f32 (PI.f32) s) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 (PI.f32) s) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 (PI.f32) s) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 (PI.f32) s) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (-.f32 (fma.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal -7/324 binary32) (.f32 (/.f32 #s(literal -5/72 binary32) s) (/.f32 #s(literal -1 binary32) s))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(fma.f32 (/.f32 r s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) r #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32))
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* 2 (* s (PI)))
(.f32 (.f32 (PI.f32) s) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 (PI.f32) s) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 (PI.f32) s) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 (PI.f32) s) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 r (-.f32 (/.f32 #s(literal -5/72 binary32) (PI.f32)) (.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -7/324 binary32) s)))) s)) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s)
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(fma.f32 (/.f32 r s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) r #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (.f32 (.f32 r r) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) s)) s))
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* 2 (* s (PI)))
(.f32 (.f32 (PI.f32) s) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 (PI.f32) s) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 (PI.f32) s) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 (PI.f32) s) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) s) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) s) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (fma.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 r (pow.f32 s #s(literal 4 binary32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (pow.f32 s #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r)
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(fma.f32 (/.f32 r s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) r #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32))
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 2 (* r (* s (PI))))
(.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 2 binary32))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))

rewrite177.0ms (1.3%)

Memory

11.1MiB live, 290.1MiB allocated

Rules

6 444×	`lower-fma.f64`
6 444×	`lower-fma.f32`
6 424×	`lower-/.f64`
6 416×	`lower-/.f32`
4 548×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	67
0	43	67
1	142	61
2	1312	55
0	9456	55

Stop Event

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

Counts

7 → 395

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)

Outputs
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eval258.0ms (1.9%)

Memory: 1.0MiB live, 116.7MiB allocated
Compiler: Compiled 21 187 to 1 425 computations (93.3% saved)

prune329.0ms (2.5%)

Memory

-273.1MiB live, 158.2MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	526	25	551
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	527	25	552

Accuracy

99.8%

Counts

552 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.7%	(/.f32 (+.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (/.f32 (/.f32 r (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (/.f32 (/.f32 (/.f32 r (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r)))
	12.2%	(/.f32 (+.f32 r (.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (*.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) r))
	11.5%	(/.f32 (.f32 (/.f32 #s(literal 1/512 binary32) (pow.f32 (.f32 (PI.f32) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) #s(literal 3 binary32)))) (+.f32 (pow.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (cbrt.f32 (exp.f32 (/.f32 r s)))) r) #s(literal 2 binary32)) (.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r) (/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))))) r))))
	99.3%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r)))))
	99.4%	(-.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r) (.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) s)) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r (*.f32 #s(literal 6 binary32) (PI.f32))) s)))
▶	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
▶	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -3 binary32) s) r)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 r s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) r #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
▶	8.9%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
▶	87.7%	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	99.4%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
	11.7%	(.f32 (+.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (/.f32 (/.f32 r (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (cbrt.f32 (exp.f32 (/.f32 r s)))) r) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r)))
	12.2%	(.f32 (+.f32 r (.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) r)))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) s) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) s) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
▶	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
	8.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 r (-.f32 (/.f32 #s(literal -5/72 binary32) (PI.f32)) (.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -7/324 binary32) s)))) s)) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
	8.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) s))

Compiler

Compiled 1 712 to 1 118 computations (34.7% saved)

simplify228.0ms (1.7%)

Memory

-13.5MiB live, 140.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff	128	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
cost-diff	160	(/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
cost-diff	1472	(fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))))
cost-diff	0	(/.f32 (neg.f32 r) s)
cost-diff	0	(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff	64	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
cost-diff	1472	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
cost-diff	0	#s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))
cost-diff	0	(*.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)))
cost-diff	64	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
cost-diff	1344	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
cost-diff	0	(*.f32 (PI.f32) s)
cost-diff	0	(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
cost-diff	0	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
cost-diff	0	(/.f32 (neg.f32 r) s)
cost-diff	0	(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff	64	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
cost-diff	1472	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))

Rules

6 120×	`lower-*.f64`
6 080×	`lower-*.f32`
5 524×	`lower-fma.f64`
5 522×	`lower-fma.f32`
2 992×	`lower-/.f64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	73	669
0	120	657
1	214	622
2	629	580
3	3740	568
4	4270	566
5	4468	566
6	5180	566
7	5506	566
8	5773	566
9	7217	550
10	7566	550
11	7777	550
12	7988	550
0	8017	550

Stop Event

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

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r))))
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))
#s(literal 6 binary32)
(.f32 (PI.f32) (.f32 s r))
(*.f32 s r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) s)
(PI.f32)
s
r
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)))
#s(literal 1/4 binary32)
#s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
s
r
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(neg.f32 r)
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
(*.f32 r #s(literal 6 binary32))
#s(literal 6 binary32)
(*.f32 (PI.f32) s)
(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
(fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
(/.f32 #s(literal 1/8 binary32) s)
#s(literal 1/8 binary32)
(PI.f32)
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
(*.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))
(/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))
#s(literal 3/4 binary32)
(cbrt.f32 (exp.f32 (/.f32 r s)))
(exp.f32 (/.f32 r s))
(/.f32 r s)
(/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(literal 1 binary32)
(.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))

Outputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (PI.f32)) r) s)
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r))))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (cbrt.f32 (exp.f32 (/.f32 r s)))) r)
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))
(/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
#s(literal 6 binary32)
(.f32 (PI.f32) (.f32 s r))
(.f32 (.f32 s r) (PI.f32))
(*.f32 s r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) s)
(PI.f32)
s
r
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (+.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))))
(/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) s))
(*.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)))
(*.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
#s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
s
r
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (cbrt.f32 (exp.f32 (/.f32 r s)))) r)
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))
(/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(neg.f32 r)
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (PI.f32)) r) s)
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (cbrt.f32 (exp.f32 (/.f32 r s)))) r)
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))
(/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 r #s(literal 6 binary32))
(*.f32 #s(literal 6 binary32) r)
#s(literal 6 binary32)
(*.f32 (PI.f32) s)
(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
(.f32 (/.f32 (fma.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 3/4 binary32) (/.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r s)))) (.f32 (PI.f32) s)) (/.f32 #s(literal 1/6 binary32) r))
(fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))))
(*.f32 (fma.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 3/4 binary32) (/.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r s)))) r)
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (PI.f32)) s)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
(/.f32 #s(literal 1/8 binary32) s)
#s(literal 1/8 binary32)
(PI.f32)
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
(*.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))
(/.f32 (*.f32 #s(literal 3/4 binary32) r) (cbrt.f32 (exp.f32 (/.f32 r s))))
(/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))
#s(literal 3/4 binary32)
(cbrt.f32 (exp.f32 (/.f32 r s)))
(exp.f32 (/.f32 r s))
(/.f32 r s)
(/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 s r) (PI.f32)) r))
#s(literal 1 binary32)
(.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(.f32 (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) r)

localize179.0ms (1.3%)

Memory

28.6MiB live, 262.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
accuracy	0.40234375	(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
accuracy	1.7225020029005869	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
accuracy	3.7367532389379714	(fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))))
accuracy	0.2734375	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy	0.3639450195368841	(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
accuracy	0.37890625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy	0.37890625	(*.f32 (PI.f32) s)
accuracy	0.25390625	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy	0.2734375	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy	0.37890625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy	28.868479719266585	#s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))
accuracy	0.25390625	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
accuracy	0.29296875	(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
accuracy	0.37890625	(*.f32 (PI.f32) s)
accuracy	29.19087007623448	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
accuracy	0.2734375	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy	0.3561325195368841	(.f32 (PI.f32) (.f32 s r))
accuracy	0.36556625976844204	(.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))
accuracy	0.37890625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)

Samples

120.0ms

256×

valid

Compiler

Compiled 657 to 54 computations (91.8% saved)

Precisions

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

ival-mult: 49.0ms (55.7% of total)

ival-div: 24.0ms (27.3% of total)

ival-exp: 6.0ms (6.8% of total)

ival-add: 4.0ms (4.5% of total)

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

ival-cbrt: 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)

series113.0ms (0.9%)

Memory

-10.5MiB live, 140.8MiB allocated

Counts

21 → 456

Calls

Call 1

Inputs
#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))))) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)) (patch (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r)) (patch #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r) (patch (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) s) (patch (.f32 (PI.f32) s) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (patch (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (patch #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 (PI.f32) s)))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 (PI.f32) s)))) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (patch (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))) (patch (.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))) (patch (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) (.f32 s r)) (patch (.f32 (PI.f32) (.f32 s r)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
#s(alt (.f32 (.f32 r #s(literal 6 binary32)) (.f32 (PI.f32) s)) (patch (.f32 (.f32 r #s(literal 6 binary32)) (.f32 (PI.f32) s)) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (patch (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) #<representation binary32>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	s	@	0	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* 6 (* (PI) (* s r))))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (exp (/ (neg r) s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r))) (* (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r)))) (* (* 2 (PI)) s) (* 6 (* (PI) (* s r))) (* (PI) (* s r)) (* (* (* 2 (PI)) s) r) (* (* r 6) (* (PI) s)) (/ (/ 1/8 s) (PI)))
14.0ms	r	@	0	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* 6 (* (PI) (* s r))))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (exp (/ (neg r) s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r))) (* (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r)))) (* (* 2 (PI)) s) (* 6 (* (PI) (* s r))) (* (PI) (* s r)) (* (* (* 2 (PI)) s) r) (* (* r 6) (* (PI) s)) (/ (/ 1/8 s) (PI)))
11.0ms	r	@	-inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* 6 (* (PI) (* s r))))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (exp (/ (neg r) s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r))) (* (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r)))) (* (* 2 (PI)) s) (* 6 (* (PI) (* s r))) (* (PI) (* s r)) (* (* (* 2 (PI)) s) r) (* (* r 6) (* (PI) s)) (/ (/ 1/8 s) (PI)))
8.0ms	s	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* 6 (* (PI) (* s r))))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (exp (/ (neg r) s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r))) (* (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r)))) (* (* 2 (PI)) s) (* 6 (* (PI) (* s r))) (* (PI) (* s r)) (* (* (* 2 (PI)) s) r) (* (* r 6) (* (PI) s)) (/ (/ 1/8 s) (PI)))
7.0ms	r	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* 6 (* (PI) (* s r))))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (exp (/ (neg r) s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r))) (* (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r)))) (* (* 2 (PI)) s) (* 6 (* (PI) (* s r))) (* (PI) (* s r)) (* (* (* 2 (PI)) s) r) (* (* r 6) (* (PI) s)) (/ (/ 1/8 s) (PI)))

simplify213.0ms (1.6%)

Memory

3.2MiB live, 326.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 448×	`lower-fma.f64`
14 448×	`lower-fma.f32`
5 758×	`lower-+.f64`
5 758×	`lower-+.f32`
5 742×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	388	5644
1	1145	5258
2	3592	5073
0	8342	4968

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* r (+ (* 3/4 (cbrt (/ 1 (exp (/ r s))))) (* 3/4 (exp (* -1 (/ r s))))))
(* r (+ (* 3/4 (cbrt (/ 1 (exp (/ r s))))) (* 3/4 (exp (* -1 (/ r s))))))
(* r (+ (* 3/4 (cbrt (/ 1 (exp (/ r s))))) (* 3/4 (exp (* -1 (/ r s))))))
(* r (+ (* 3/4 (cbrt (/ 1 (exp (/ r s))))) (* 3/4 (exp (* -1 (/ r s))))))
(/ 1/6 (* (pow r 2) (* s (PI))))
(/ 1/6 (* (pow r 2) (* s (PI))))
(/ 1/6 (* (pow r 2) (* s (PI))))
(/ 1/6 (* (pow r 2) (* s (PI))))
(* 1/6 (/ (+ (* 3/4 (cbrt (/ 1 (exp (/ r s))))) (* 3/4 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(* 1/6 (/ (+ (* 3/4 (cbrt (/ 1 (exp (/ r s))))) (* 3/4 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(* 1/6 (/ (+ (* 3/4 (cbrt (/ 1 (exp (/ r s))))) (* 3/4 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(* 1/6 (/ (+ (* 3/4 (cbrt (/ 1 (exp (/ r s))))) (* 3/4 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (* r (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s)))))))
(* -1 (* r (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s)))))))
(* -1 (* r (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s)))))))
(* -1 (* r (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s)))))))
(/ 1/6 (* (pow r 2) (* s (PI))))
(/ 1/6 (* (pow r 2) (* s (PI))))
(/ 1/6 (* (pow r 2) (* s (PI))))
(/ 1/6 (* (pow r 2) (* s (PI))))
(* -1/6 (/ (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(* -1/6 (/ (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(* -1/6 (/ (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(* -1/6 (/ (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))

Outputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/ 1/4 (* s (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
(/ 1/4 (* s (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
(/ 1/4 (* s (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
(/ 1/4 (* s (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(* 1/4 (exp (* -1 (/ r s))))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s)))
(* 1/4 (exp (* -1 (/ r s))))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s)))
(* 1/4 (exp (* -1 (/ r s))))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s)))
(* 1/4 (exp (* -1 (/ r s))))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(+ (* 3/4 (* r (cbrt (/ 1 (exp (/ r s)))))) (* 3/4 (* r (exp (* -1 (/ r s))))))
(.f32 (.f32 #s(literal 3/4 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(+ (* 3/4 (* r (cbrt (/ 1 (exp (/ r s)))))) (* 3/4 (* r (exp (* -1 (/ r s))))))
(.f32 (.f32 #s(literal 3/4 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(+ (* 3/4 (* r (cbrt (/ 1 (exp (/ r s)))))) (* 3/4 (* r (exp (* -1 (/ r s))))))
(.f32 (.f32 #s(literal 3/4 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(+ (* 3/4 (* r (cbrt (/ 1 (exp (/ r s)))))) (* 3/4 (* r (exp (* -1 (/ r s))))))
(.f32 (.f32 #s(literal 3/4 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(/ 1/6 (* (pow r 2) (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 (PI.f32) s) r) r))
(/ 1/6 (* (pow r 2) (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 (PI.f32) s) r) r))
(/ 1/6 (* (pow r 2) (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 (PI.f32) s) r) r))
(/ 1/6 (* (pow r 2) (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 (PI.f32) s) r) r))
(* 1/6 (/ (+ (* 3/4 (* r (cbrt (/ 1 (exp (/ r s)))))) (* 3/4 (* r (exp (* -1 (/ r s)))))) (* (pow r 2) (* s (PI)))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r r) (PI.f32))) (/.f32 (.f32 r (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s)))) s))
(* 1/6 (/ (+ (* 3/4 (* r (cbrt (/ 1 (exp (/ r s)))))) (* 3/4 (* r (exp (* -1 (/ r s)))))) (* (pow r 2) (* s (PI)))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r r) (PI.f32))) (/.f32 (.f32 r (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s)))) s))
(* 1/6 (/ (+ (* 3/4 (* r (cbrt (/ 1 (exp (/ r s)))))) (* 3/4 (* r (exp (* -1 (/ r s)))))) (* (pow r 2) (* s (PI)))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r r) (PI.f32))) (/.f32 (.f32 r (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s)))) s))
(* 1/6 (/ (+ (* 3/4 (* r (cbrt (/ 1 (exp (/ r s)))))) (* 3/4 (* r (exp (* -1 (/ r s)))))) (* (pow r 2) (* s (PI)))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r r) (PI.f32))) (/.f32 (.f32 r (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s)))) s))
(* 2 (* s (PI)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) s))
(* 2 (* s (PI)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) s))
(* 2 (* s (PI)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) s))
(* 2 (* s (PI)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) s))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* 2 (* r (* s (PI))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
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(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s))) r)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s))) r)
(* 1/4 (exp (* -1 (/ r s))))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s)))
(* 1/4 (exp (* -1 (/ r s))))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s)))
(* 1/4 (exp (* -1 (/ r s))))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s)))
(* 1/4 (exp (* -1 (/ r s))))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s))) r)
(* -1 (* r (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s)))))))
(.f32 (.f32 #s(literal 3/4 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(* -1 (* r (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s)))))))
(.f32 (.f32 #s(literal 3/4 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(* -1 (* r (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s)))))))
(.f32 (.f32 #s(literal 3/4 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(* -1 (* r (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s)))))))
(.f32 (.f32 #s(literal 3/4 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(/ 1/6 (* (pow r 2) (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 (PI.f32) s) r) r))
(/ 1/6 (* (pow r 2) (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 (PI.f32) s) r) r))
(/ 1/6 (* (pow r 2) (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 (PI.f32) s) r) r))
(/ 1/6 (* (pow r 2) (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 (PI.f32) s) r) r))
(* -1/6 (/ (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s r)) (/.f32 (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))) (PI.f32)))
(* -1/6 (/ (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s r)) (/.f32 (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))) (PI.f32)))
(* -1/6 (/ (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s r)) (/.f32 (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))) (PI.f32)))
(* -1/6 (/ (+ (* -3/4 (cbrt (/ 1 (exp (/ r s))))) (* -3/4 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s r)) (/.f32 (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))) (PI.f32)))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* 2 (* r (* s (PI))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))

rewrite392.0ms (2.9%)

Memory

-11.1MiB live, 436.1MiB allocated

Rules

6 244×	`lower-fma.f64`
6 242×	`lower-fma.f32`
5 502×	`lower-*.f64`
5 462×	`lower-*.f32`
3 986×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	303
0	120	286
1	398	267
2	3381	267
0	9073	261

Stop Event

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

Counts

21 → 1 026

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(*.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)))
#s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))))
(/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))
(.f32 (PI.f32) (.f32 s r))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))

Outputs
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eval277.0ms (2.1%)

Memory: 32.4MiB live, 371.1MiB allocated
Compiler: Compiled 71 687 to 2 945 computations (95.9% saved)

prune288.0ms (2.2%)

Memory

5.3MiB live, 494.7MiB allocated

Pruning

80 alts after pruning (79 fresh and 1 done)

	Pruned	Kept	Total
New	1 822	70	1 892
Fresh	11	9	20
Picked	4	1	5
Done	0	0	0
Total	1 837	80	1 917

Accuracy

99.8%

Counts

1 917 → 80

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.3%	(fma.f32 (/.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)) #s(literal 1/4 binary32) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)) (/.f32 #s(literal 3/4 binary32) r) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 #s(literal 6 binary32) r) (PI.f32))) (/.f32 #s(literal 3/4 binary32) s) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
▶	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) r)) (/.f32 #s(literal 3/4 binary32) (.f32 (PI.f32) s)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 s r) (PI.f32))) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	93.3%	(fma.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)) (/.f32 #s(literal 1/4 binary32) r) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	93.3%	(fma.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 s r)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	93.3%	(fma.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	93.3%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r)) (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s r) (PI.f32))) (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 s r) (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 6 binary32)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 #s(literal 6 binary32) r) (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 (PI.f32) s)) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	93.3%	(fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (.f32 s r)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	93.3%	(fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s r) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s r) (PI.f32)))) #s(literal 3/4 binary32) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 s r) (PI.f32))) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	93.3%	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r)) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(/.f32 (fma.f32 (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) #s(literal 1/8 binary32)) r (.f32 (.f32 (PI.f32) s) (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (.f32 (.f32 s r) (PI.f32)))
	58.4%	(/.f32 (fma.f32 (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) (/.f32 (.f32 #s(literal 3/4 binary32) r) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r) #s(literal 6 binary32)) (.f32 (*.f32 s r) (PI.f32))))
	7.1%	(/.f32 (fma.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)) r (.f32 (.f32 (.f32 s r) (PI.f32)) (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (.f32 (.f32 (.f32 s r) (PI.f32)) r))
	92.5%	(/.f32 (fma.f32 (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 s r) (PI.f32)) (.f32 r (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)))) (.f32 r (.f32 (.f32 s r) (PI.f32))))
	11.5%	(/.f32 (.f32 (/.f32 #s(literal 1/512 binary32) (pow.f32 (.f32 (PI.f32) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) #s(literal 3 binary32)))) (+.f32 (pow.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (cbrt.f32 (exp.f32 (/.f32 r s)))) r) #s(literal 2 binary32)) (.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r) (/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))))) r))))
	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 (PI.f32) s))))
	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)))
	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 s r))))))
	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) r) s))))
▶	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
▶	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) r (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) r (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 (PI.f32) s))))
	7.7%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) r) s) (/.f32 r s) (-.f32 #s(literal 1 binary32) (/.f32 r s))))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 r s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) r #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.9%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) r) s)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.9%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
	8.9%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 s r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 r s) (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 (.f32 r #s(literal 1/8 binary32)) s) (/.f32 r s) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 1/4 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.9%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	87.7%	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) #s(approx (/ 1 (* r (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 (PI.f32) s) r) r))))
	87.7%	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	12.2%	(.f32 (+.f32 r (.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) r)))
	5.7%	(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (fma.f32 #s(literal 3/2 binary32) r (/.f32 (fma.f32 r r (/.f32 (fma.f32 (.f32 (pow.f32 r #s(literal 3 binary32)) #s(literal -1/6 binary32)) #s(literal -1/4 binary32) (.f32 #s(literal 3/8 binary32) (pow.f32 r #s(literal 3 binary32)))) (neg.f32 s))) (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	5.2%	(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -7/54 binary32) (/.f32 r (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 5/12 binary32) (.f32 s s))) r (/.f32 #s(literal -1 binary32) s)) r #s(literal 3/2 binary32)) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	8.8%	(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/12 binary32) s) (/.f32 r s) (/.f32 #s(literal -1 binary32) s)) r #s(literal 3/2 binary32)) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	8.2%	(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	93.9%	(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (.f32 #s(literal 3/4 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	8.8%	(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 #s(literal 3/2 binary32) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	5.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) s) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) s) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s)) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (PI.f32)))) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
✓	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
	8.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 r (-.f32 (/.f32 #s(literal -5/72 binary32) (PI.f32)) (.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -7/324 binary32) s)))) s)) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
	8.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) s))) s))
▶	9.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
▶	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) s) r)))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (pow.f32 (/.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
	8.8%	#s(approx (* (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r)))) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 (.f32 r r) #s(literal -1/6 binary32)) (PI.f32)) (/.f32 #s(literal -1/4 binary32) r) (.f32 (/.f32 r (PI.f32)) #s(literal 3/8 binary32))) s) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
	97.0%	#s(approx (* (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s r)) (/.f32 (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))) (PI.f32))))

Compiler

Compiled 4 238 to 3 192 computations (24.7% saved)

simplify183.0ms (1.4%)

Memory

-7.0MiB live, 227.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff	0	(/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 #s(literal 6 binary32) (PI.f32)))
cost-diff	32	(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff	1120	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
cost-diff	0	(*.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32))))
cost-diff	64	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
cost-diff	352	(fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32))
cost-diff	1376	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
cost-diff	0	(+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))
cost-diff	0	(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
cost-diff	256	(-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s))
cost-diff	0	(*.f32 s r)
cost-diff	0	(.f32 (.f32 s r) (PI.f32))
cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
cost-diff	0	(neg.f32 r)
cost-diff	0	(/.f32 (neg.f32 r) s)
cost-diff	0	(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff	1312	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))

Rules

14 464×	`lower-fma.f64`
14 456×	`lower-fma.f32`
5 510×	`lower-*.f64`
5 474×	`lower-*.f32`
2 618×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	739
0	153	729
1	270	708
2	703	680
3	2389	661
4	5025	661
5	6559	661
0	8033	646

Stop Event

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

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r))))
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(*.f32 #s(literal -3 binary32) s)
#s(literal -3 binary32)
(.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))
#s(literal 6 binary32)
(.f32 (PI.f32) (.f32 s r))
(*.f32 s r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
#s(literal 1/4 binary32)
(.f32 (.f32 s r) (PI.f32))
(*.f32 s r)
s
r
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))
(/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s)
(-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s))
(/.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(PI.f32)
(/.f32 (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)
(*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))
#s(literal -5/72 binary32)
(/.f32 r (PI.f32))
r
s
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) r)
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32))))
#s(literal 1/4 binary32)
#s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))
(fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32))
(fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 r s) s)
(/.f32 r s)
r
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
#s(literal 1 binary32)
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(neg.f32 r)
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 #s(literal 6 binary32) (PI.f32)))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
(PI.f32)
(/.f32 #s(literal 3/4 binary32) (*.f32 s r))
#s(literal 3/4 binary32)
(*.f32 s r)
(*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)))
(/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r)
#s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
(/.f32 #s(literal 1/8 binary32) s)
#s(literal 1/8 binary32)

Outputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s))))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (exp.f32 (/.f32 r s))) (*.f32 (PI.f32) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r))))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (cbrt.f32 (exp.f32 (/.f32 r s)))) r) s)
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s))))
(/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 #s(literal -3 binary32) s)
#s(literal -3 binary32)
(.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
#s(literal 6 binary32)
(.f32 (PI.f32) (.f32 s r))
(.f32 (.f32 s r) (PI.f32))
(*.f32 s r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
#s(literal 1/4 binary32)
(.f32 (.f32 s r) (PI.f32))
(*.f32 s r)
s
r
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) s)) r (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) s)) r (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) s)
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))
(-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) s)) r (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r)))
(/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s)
(/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) s)) r (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)
(-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s))
(fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) s)) r (/.f32 #s(literal -1/6 binary32) (PI.f32)))
(/.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(PI.f32)
(/.f32 (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)
(/.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) s)
(*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))
(*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))
#s(literal -5/72 binary32)
(/.f32 r (PI.f32))
r
s
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) r)
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 r s) (fma.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) r #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 r s) (fma.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) r #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32))))
(*.f32 #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 r s) (fma.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) r #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
#s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))
#s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 r s) (fma.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) r #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32))
(fma.f32 (/.f32 r s) (fma.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) r #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
(fma.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) s) (/.f32 r s) (/.f32 #s(literal -1 binary32) s))
(/.f32 (/.f32 r s) s)
(/.f32 r s)
r
s
(fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32))
(fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))
#s(literal -1/6 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal -1 binary32) s)
#s(literal -1 binary32)
#s(literal 1 binary32)
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (cbrt.f32 (exp.f32 (/.f32 r s)))) r) s)
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))
(/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(neg.f32 r)
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) r) (PI.f32)) (+.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))))
(/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 #s(literal 6 binary32) (PI.f32)))
(/.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (*.f32 #s(literal 6 binary32) (PI.f32)))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
(PI.f32)
(/.f32 #s(literal 3/4 binary32) (*.f32 s r))
#s(literal 3/4 binary32)
(*.f32 s r)
(*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)))
(*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) r))
(/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r)
#s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
(/.f32 #s(literal 1/8 binary32) s)
#s(literal 1/8 binary32)

localize370.0ms (2.8%)

Memory

7.3MiB live, 411.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.26791000976844204	(/.f32 #s(literal 3/4 binary32) (*.f32 s r))
accuracy	0.40234375	(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
accuracy	3.839763480755899	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
accuracy	28.868479719266585	#s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))
accuracy	28.687764896454375	(fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
accuracy	29.109796353055163	#s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))
accuracy	31.035935770944796	(fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32))
accuracy	31.36146866673418	(fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32))
accuracy	0.34765625	(/.f32 r (PI.f32))
accuracy	0.3984375	(*.f32 (PI.f32) r)
accuracy	0.5534363281475362	(*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))
accuracy	28.935882769677242	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
accuracy	0	(PI.f32)
accuracy	0.27962875976844204	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
accuracy	0.3561325195368841	(.f32 (.f32 s r) (PI.f32))
accuracy	29.19087007623448	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
accuracy	0.2734375	(/.f32 r (*.f32 #s(literal -3 binary32) s))
accuracy	0.3561325195368841	(.f32 (PI.f32) (.f32 s r))
accuracy	0.36556625976844204	(.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))
accuracy	0.37890625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)

Samples

271.0ms

256×

valid

Compiler

Compiled 634 to 73 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-div: 74.0ms (42.7% of total)

const: 32.0ms (18.5% of total)

ival-mult: 30.0ms (17.3% of total)

ival-sub: 19.0ms (11% of total)

ival-add: 7.0ms (4% of total)

ival-exp: 6.0ms (3.5% of total)

ival-cbrt: 2.0ms (1.2% of total)

ival-pi: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series126.0ms (0.9%)

Memory

-23.2MiB live, 94.7MiB allocated

Counts

33 → 696

Calls

Call 1

Inputs
#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())
#s(alt (neg.f32 r) (patch (neg.f32 r) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 s r) (PI.f32)) (patch (.f32 (.f32 s r) (PI.f32)) #<representation binary32>) () ())
#s(alt (.f32 s r) (patch (.f32 s r) #<representation binary32>) () ())
#s(alt (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) (patch (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s) (patch (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) (patch (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)) (patch (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (patch (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)))) (patch (fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)))) #<representation binary32>) () ())
#s(alt (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (patch (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())
#s(alt (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (patch (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))) (patch (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) (.f32 s r)) (patch (.f32 (PI.f32) (.f32 s r)) #<representation binary32>) () ())
#s(alt (/.f32 r (.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) (patch (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) r) (patch (.f32 (PI.f32) r) #<representation binary32>) () ())
#s(alt (/.f32 r (PI.f32)) (patch (/.f32 r (PI.f32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (patch (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (patch #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (patch (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (patch (/.f32 #s(literal 3/4 binary32) (.f32 s r)) #<representation binary32>) () ())

Outputs
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (.f32 s r))))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 s r) (PI.f32)) (patch (.f32 (.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 s r) (PI.f32)) (patch (.f32 (.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 s r) (PI.f32)) (patch (.f32 (.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 s r) (PI.f32)) (patch (.f32 (.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r s) (taylor 0 s) (#s(alt (.f32 s r) (patch (.f32 s r) #<representation binary32>) () ())) ())
#s(alt (* r s) (taylor 0 s) (#s(alt (.f32 s r) (patch (.f32 s r) #<representation binary32>) () ())) ())
#s(alt (* r s) (taylor 0 s) (#s(alt (.f32 s r) (patch (.f32 s r) #<representation binary32>) () ())) ())
#s(alt (* r s) (taylor 0 s) (#s(alt (.f32 s r) (patch (.f32 s r) #<representation binary32>) () ())) ())
#s(alt (* 5/72 (/ r (* s (PI)))) (taylor 0 s) (#s(alt (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) (patch (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1/6 (/ s (PI))) (* -5/72 (/ r (PI)))) s) (taylor 0 s) (#s(alt (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) (patch (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1/6 (/ s (PI))) (* -5/72 (/ r (PI)))) s) (taylor 0 s) (#s(alt (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) (patch (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1/6 (/ s (PI))) (* -5/72 (/ r (PI)))) s) (taylor 0 s) (#s(alt (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) (patch (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)) #<representation binary32>) () ())) ())
#s(alt (* 5/72 (/ r (* (pow s 3) (PI)))) (taylor 0 s) (#s(alt (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s) (patch (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 3)) (taylor 0 s) (#s(alt (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s) (patch (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s) #<representation binary32>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	s	@	0	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* 6 (* (PI) (* s r))))) (exp (/ (neg r) s)) (/ (neg r) s) (neg r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) s) (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (* (+ (* (/ (/ r s) s) (+ (* -1/6 (/ r s)) 1/2)) (/ -1 s)) r) 1) (/ (neg r) (* 3 s)) (* 1/4 (exp (/ (neg r) s))) (+ (* (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (/ 3/4 (* s r))) (* (/ (exp (/ (neg r) s)) r) (/ (/ 1/8 s) (PI)))) (cbrt (exp (/ (neg r) s))) (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (* (* 2 (PI)) s) (* 6 (* (PI) (* s r))) (* (PI) (* s r)) (/ r (* -3 s)) (PI) (* -5/72 (/ r (PI))) (* (PI) r) (/ r (PI)) (+ (* -1/6 (/ r s)) 1/2) (exp (/ (neg r) s)) (+ (* (/ (/ r s) s) (+ (* -1/6 (/ r s)) 1/2)) (/ -1 s)) (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI)) (/ 3/4 (* s r)))
24.0ms	r	@	-inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* 6 (* (PI) (* s r))))) (exp (/ (neg r) s)) (/ (neg r) s) (neg r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) s) (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (* (+ (* (/ (/ r s) s) (+ (* -1/6 (/ r s)) 1/2)) (/ -1 s)) r) 1) (/ (neg r) (* 3 s)) (* 1/4 (exp (/ (neg r) s))) (+ (* (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (/ 3/4 (* s r))) (* (/ (exp (/ (neg r) s)) r) (/ (/ 1/8 s) (PI)))) (cbrt (exp (/ (neg r) s))) (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (* (* 2 (PI)) s) (* 6 (* (PI) (* s r))) (* (PI) (* s r)) (/ r (* -3 s)) (PI) (* -5/72 (/ r (PI))) (* (PI) r) (/ r (PI)) (+ (* -1/6 (/ r s)) 1/2) (exp (/ (neg r) s)) (+ (* (/ (/ r s) s) (+ (* -1/6 (/ r s)) 1/2)) (/ -1 s)) (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI)) (/ 3/4 (* s r)))
10.0ms	r	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* 6 (* (PI) (* s r))))) (exp (/ (neg r) s)) (/ (neg r) s) (neg r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) s) (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (* (+ (* (/ (/ r s) s) (+ (* -1/6 (/ r s)) 1/2)) (/ -1 s)) r) 1) (/ (neg r) (* 3 s)) (* 1/4 (exp (/ (neg r) s))) (+ (* (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (/ 3/4 (* s r))) (* (/ (exp (/ (neg r) s)) r) (/ (/ 1/8 s) (PI)))) (cbrt (exp (/ (neg r) s))) (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (* (* 2 (PI)) s) (* 6 (* (PI) (* s r))) (* (PI) (* s r)) (/ r (* -3 s)) (PI) (* -5/72 (/ r (PI))) (* (PI) r) (/ r (PI)) (+ (* -1/6 (/ r s)) 1/2) (exp (/ (neg r) s)) (+ (* (/ (/ r s) s) (+ (* -1/6 (/ r s)) 1/2)) (/ -1 s)) (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI)) (/ 3/4 (* s r)))
6.0ms	r	@	0	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* 6 (* (PI) (* s r))))) (exp (/ (neg r) s)) (/ (neg r) s) (neg r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) s) (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (* (+ (* (/ (/ r s) s) (+ (* -1/6 (/ r s)) 1/2)) (/ -1 s)) r) 1) (/ (neg r) (* 3 s)) (* 1/4 (exp (/ (neg r) s))) (+ (* (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (/ 3/4 (* s r))) (* (/ (exp (/ (neg r) s)) r) (/ (/ 1/8 s) (PI)))) (cbrt (exp (/ (neg r) s))) (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (* (* 2 (PI)) s) (* 6 (* (PI) (* s r))) (* (PI) (* s r)) (/ r (* -3 s)) (PI) (* -5/72 (/ r (PI))) (* (PI) r) (/ r (PI)) (+ (* -1/6 (/ r s)) 1/2) (exp (/ (neg r) s)) (+ (* (/ (/ r s) s) (+ (* -1/6 (/ r s)) 1/2)) (/ -1 s)) (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI)) (/ 3/4 (* s r)))
6.0ms	s	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* 6 (* (PI) (* s r))))) (exp (/ (neg r) s)) (/ (neg r) s) (neg r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) s) (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (* (+ (* (/ (/ r s) s) (+ (* -1/6 (/ r s)) 1/2)) (/ -1 s)) r) 1) (/ (neg r) (* 3 s)) (* 1/4 (exp (/ (neg r) s))) (+ (* (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (/ 3/4 (* s r))) (* (/ (exp (/ (neg r) s)) r) (/ (/ 1/8 s) (PI)))) (cbrt (exp (/ (neg r) s))) (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (* (* 2 (PI)) s) (* 6 (* (PI) (* s r))) (* (PI) (* s r)) (/ r (* -3 s)) (PI) (* -5/72 (/ r (PI))) (* (PI) r) (/ r (PI)) (+ (* -1/6 (/ r s)) 1/2) (exp (/ (neg r) s)) (+ (* (/ (/ r s) s) (+ (* -1/6 (/ r s)) 1/2)) (/ -1 s)) (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI)) (/ 3/4 (* s r)))

simplify350.0ms (2.6%)

Memory

28.8MiB live, 221.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 438×	`lower-fma.f64`
7 438×	`lower-fma.f32`
5 502×	`lower-*.f64`
5 502×	`lower-*.f32`
3 292×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	570	7857
1	1676	7456
2	5009	7403
0	8228	7190

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 696

Calls

Call 1

Inputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r s)
(* r s)
(* r s)
(* r s)
(* 5/72 (/ r (* s (PI))))
(/ (- (* -1/6 (/ s (PI))) (* -5/72 (/ r (PI)))) s)
(/ (- (* -1/6 (/ s (PI))) (* -5/72 (/ r (PI)))) s)
(/ (- (* -1/6 (/ s (PI))) (* -5/72 (/ r (PI)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* 5/72 (/ r (* (pow s 3) (PI))))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 3))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 3))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 3))
(* 5/72 (/ r (* (pow s 2) (PI))))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 2))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 2))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* -1/6 (/ (pow r 3) (pow s 3)))
(/ (+ (* -1/6 (pow r 3)) (* 1/2 (* (pow r 2) s))) (pow s 3))
(/ (+ (* -1/6 (pow r 3)) (* s (+ (* -1 (* r s)) (* 1/2 (pow r 2))))) (pow s 3))
(/ (+ (* -1/6 (pow r 3)) (* s (+ (* 1/2 (pow r 2)) (* s (+ s (* -1 r)))))) (pow s 3))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(/ (+ (* 1/8 (* (/ 1 (* r (PI))) (cbrt (exp (* -1 (/ r s)))))) (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (* (/ 1 (* r (PI))) (cbrt (exp (* -1 (/ r s)))))) (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (* (/ 1 (* r (PI))) (cbrt (exp (* -1 (/ r s)))))) (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (* (/ 1 (* r (PI))) (cbrt (exp (* -1 (/ r s)))))) (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI))))) s)
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(* 1/6 (* (/ 1 (PI)) (cbrt (exp (* -1 (/ r s))))))
(* 1/6 (* (/ 1 (PI)) (cbrt (exp (* -1 (/ r s))))))
(* 1/6 (* (/ 1 (PI)) (cbrt (exp (* -1 (/ r s))))))
(* 1/6 (* (/ 1 (PI)) (cbrt (exp (* -1 (/ r s))))))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/6 (/ r s))
(/ (+ (* -1/6 r) (* 1/2 s)) s)
(/ (+ (* -1/6 r) (* 1/2 s)) s)
(/ (+ (* -1/6 r) (* 1/2 s)) s)
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* -1/6 (/ (pow r 2) (pow s 3)))
(/ (+ (* -1/6 (pow r 2)) (* 1/2 (* r s))) (pow s 3))
(/ (+ (* -1/6 (pow r 2)) (* s (+ (* -1 s) (* 1/2 r)))) (pow s 3))
(/ (+ (* -1/6 (pow r 2)) (* s (+ (* -1 s) (* 1/2 r)))) (pow s 3))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 3/4 (* r s))
(/ 3/4 (* r s))
(/ 3/4 (* r s))
(/ 3/4 (* r s))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
1
(+ 1 (* -1 (/ r s)))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r s)
(* r s)
(* r s)
(* r s)
(/ -1/6 (PI))
(- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI))))
(- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI))))
(- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (PI)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI))))
(- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
1
(+ 1 (* -1 (/ r s)))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (+ (* -1/4 (/ r s)) (* 1/8 (/ (pow r 2) (pow s 2)))))
(+ 1/4 (+ (* -1/4 (/ r s)) (+ (* -1/24 (/ (pow r 3) (pow s 3))) (* 1/8 (/ (pow r 2) (pow s 2))))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/24 (/ (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))) (* r (* (pow s 2) (PI))))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/24 (/ (- (* -1/6 (pow r 3)) (+ (* -2/3 (* r (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))))) (* -1/27 (pow r 3)))) (* r (* (pow s 3) (PI))))) (+ (* 1/24 (/ (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))) (* r (* (pow s 2) (PI))))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/3 (/ (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* 1/3 (/ (- (* -1/6 (pow r 3)) (+ (* -2/3 (* r (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))))) (* -1/27 (pow r 3)))) (pow s 3))) (* 1/3 (/ (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))) (pow s 2))))))
(/ 1/6 (PI))
(+ (* -1/18 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI))))
(+ (* -1/18 (/ r (* s (PI)))) (+ (* 1/18 (/ (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))) (* (pow s 2) (PI)))) (* 1/6 (/ 1 (PI)))))
(+ (* -1/18 (/ r (* s (PI)))) (+ (* 1/18 (/ (- (* -1/6 (pow r 3)) (+ (* -2/3 (* r (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))))) (* -1/27 (pow r 3)))) (* (pow s 3) (PI)))) (+ (* 1/18 (/ (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))) (* (pow s 2) (PI)))) (* 1/6 (/ 1 (PI))))))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 6 (* r (* s (PI))))
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(exp (* -1 (/ r s)))
(* -1/6 (/ (pow r 2) (pow s 3)))
(* (pow r 2) (- (* 1/2 (/ 1 (* r (pow s 2)))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow r 2) (- (/ 1/2 (* r (pow s 2))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* (pow r 2) s)))))
(* (pow r 2) (- (/ 1/2 (* r (pow s 2))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* (pow r 2) s)))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(/ 3/4 (* r s))
(/ 3/4 (* r s))
(/ 3/4 (* r s))
(/ 3/4 (* r s))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 r)
(* -1 r)
(* -1 r)
(* -1 r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r s)
(* r s)
(* r s)
(* r s)
(* 5/72 (/ r (* s (PI))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (PI)))) (* 5/72 (/ 1 (* s (PI)))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (PI)))) (* 5/72 (/ 1 (* s (PI)))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (PI)))) (* 5/72 (/ 1 (* s (PI)))))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* 5/72 (/ r (* (pow s 3) (PI))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1/6 (/ (pow r 3) (pow s 3)))
(* -1 (* (pow r 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* r (pow s 2)))))))
(* -1 (* (pow r 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* r s))) r)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow r 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 r)) r)) (* 1/2 (/ 1 (pow s 2)))) r)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(* 1/6 (* (/ 1 (PI)) (cbrt (exp (* -1 (/ r s))))))
(* 1/6 (* (/ 1 (PI)) (cbrt (exp (* -1 (/ r s))))))
(* 1/6 (* (/ 1 (PI)) (cbrt (exp (* -1 (/ r s))))))
(* 1/6 (* (/ 1 (PI)) (cbrt (exp (* -1 (/ r s))))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -5/72 (/ r (PI)))
(* -5/72 (/ r (PI)))
(* -5/72 (/ r (PI)))
(* -5/72 (/ r (PI)))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(/ r (PI))
(* -1/6 (/ r s))
(* -1 (* r (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 r)))))
(* -1 (* r (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 r)))))
(* -1 (* r (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 r)))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* -1/6 (/ (pow r 2) (pow s 3)))
(* (pow r 2) (- (* 1/2 (/ 1 (* r (pow s 2)))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow r 2) (- (* -1 (/ (- (/ 1 (* r s)) (* 1/2 (/ 1 (pow s 2)))) r)) (* 1/6 (/ 1 (pow s 3)))))
(* (pow r 2) (- (* -1 (/ (- (/ 1 (* r s)) (* 1/2 (/ 1 (pow s 2)))) r)) (* 1/6 (/ 1 (pow s 3)))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(/ 3/4 (* r s))
(/ 3/4 (* r s))
(/ 3/4 (* r s))
(/ 3/4 (* r s))

Outputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r s)
(*.f32 s r)
(* r s)
(*.f32 s r)
(* r s)
(*.f32 s r)
(* r s)
(*.f32 s r)
(* 5/72 (/ r (* s (PI))))
(*.f32 (/.f32 (/.f32 r s) (PI.f32)) #s(literal 5/72 binary32))
(/ (- (* -1/6 (/ s (PI))) (* -5/72 (/ r (PI)))) s)
(/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal -1/6 binary32))) s)
(/ (- (* -1/6 (/ s (PI))) (* -5/72 (/ r (PI)))) s)
(/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal -1/6 binary32))) s)
(/ (- (* -1/6 (/ s (PI))) (* -5/72 (/ r (PI)))) s)
(/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal -1/6 binary32))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(* 5/72 (/ r (* (pow s 3) (PI))))
(.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) #s(literal 5/72 binary32))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 3))
(/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 s (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 s (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (pow.f32 s #s(literal 3 binary32)))
(* 5/72 (/ r (* (pow s 2) (PI))))
(.f32 (/.f32 r (.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (.f32 (/.f32 s (PI.f32)) #s(literal -1/6 binary32))) (.f32 s s))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 2))
(/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 s (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (.f32 s s))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 2))
(/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 s (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (.f32 s s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(* -1/6 (/ (pow r 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(/ (+ (* -1/6 (pow r 3)) (* 1/2 (* (pow r 2) s))) (pow s 3))
(/.f32 (fma.f32 (.f32 (.f32 r r) s) #s(literal 1/2 binary32) (*.f32 (pow.f32 r #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow r 3)) (* s (+ (* -1 (* r s)) (* 1/2 (pow r 2))))) (pow s 3))
(/.f32 (fma.f32 (-.f32 (.f32 (.f32 r r) #s(literal 1/2 binary32)) (.f32 s r)) s (.f32 (pow.f32 r #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* -1/6 (pow r 3)) (* s (+ (* 1/2 (pow r 2)) (* s (+ s (* -1 r)))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (-.f32 s r) s (.f32 (.f32 r r) #s(literal 1/2 binary32))) s (*.f32 (pow.f32 r #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(/ (+ (* 1/8 (* (/ 1 (* r (PI))) (cbrt (exp (* -1 (/ r s)))))) (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI))))) s)
(.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) s))
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(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r))
(* -1/6 (/ (pow r 3) (pow s 3)))
(*.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -1/6 binary32))
(* -1 (* (pow r 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* r (pow s 2)))))))
(.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 s s)) r) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 r #s(literal 3 binary32)))
(* -1 (* (pow r 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* r s))) r)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) r) s)) r) (pow.f32 r #s(literal 3 binary32)) (.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(* -1 (* (pow r 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 r)) r)) (* 1/2 (/ 1 (pow s 2)))) r)) (* 1/6 (/ 1 (pow s 3))))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) r)) r)) r) (pow.f32 r #s(literal 3 binary32)) (.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -1/6 binary32)))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r))
(cbrt (exp (* -1 (/ r s))))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(cbrt (exp (* -1 (/ r s))))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(cbrt (exp (* -1 (/ r s))))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(cbrt (exp (* -1 (/ r s))))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(* 1/6 (* (/ 1 (PI)) (cbrt (exp (* -1 (/ r s))))))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/6 binary32) (PI.f32)))
(* 1/6 (* (/ 1 (PI)) (cbrt (exp (* -1 (/ r s))))))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/6 binary32) (PI.f32)))
(* 1/6 (* (/ 1 (PI)) (cbrt (exp (* -1 (/ r s))))))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/6 binary32) (PI.f32)))
(* 1/6 (* (/ 1 (PI)) (cbrt (exp (* -1 (/ r s))))))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/6 binary32) (PI.f32)))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -5/72 (/ r (PI)))
(*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))
(* -5/72 (/ r (PI)))
(*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))
(* -5/72 (/ r (PI)))
(*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))
(* -5/72 (/ r (PI)))
(*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))
(* r (PI))
(*.f32 (PI.f32) r)
(* r (PI))
(*.f32 (PI.f32) r)
(* r (PI))
(*.f32 (PI.f32) r)
(* r (PI))
(*.f32 (PI.f32) r)
(/ r (PI))
(/.f32 r (PI.f32))
(/ r (PI))
(/.f32 r (PI.f32))
(/ r (PI))
(/.f32 r (PI.f32))
(/ r (PI))
(/.f32 r (PI.f32))
(* -1/6 (/ r s))
(*.f32 #s(literal -1/6 binary32) (/.f32 r s))
(* -1 (* r (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 r)))))
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) r)
(* -1 (* r (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 r)))))
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) r)
(* -1 (* r (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 r)))))
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) r) (/.f32 #s(literal -1/6 binary32) s)) r)
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(* -1/6 (/ (pow r 2) (pow s 3)))
(.f32 (.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) r)
(* (pow r 2) (- (* 1/2 (/ 1 (* r (pow s 2)))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) r) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (/ 1 (* r s)) (* 1/2 (/ 1 (pow s 2)))) r)) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) s) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) r)) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (/ 1 (* r s)) (* 1/2 (/ 1 (pow s 2)))) r)) (* 1/6 (/ 1 (pow s 3)))))
(.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) r) s) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) r)) (*.f32 r r))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/ 3/4 (* r s))
(/.f32 #s(literal 3/4 binary32) (*.f32 s r))
(/ 3/4 (* r s))
(/.f32 #s(literal 3/4 binary32) (*.f32 s r))
(/ 3/4 (* r s))
(/.f32 #s(literal 3/4 binary32) (*.f32 s r))
(/ 3/4 (* r s))
(/.f32 #s(literal 3/4 binary32) (*.f32 s r))

rewrite311.0ms (2.3%)

Memory

-26.0MiB live, 299.5MiB allocated

Rules

4 764×	`lower-*.f64`
4 728×	`lower-*.f32`
3 608×	`lower-/.f64`
3 566×	`lower-/.f32`
2 516×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	450
0	153	449
1	558	429
2	5920	429
0	8071	420

Stop Event

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

Counts

33 → 784

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
(.f32 (.f32 s r) (PI.f32))
(*.f32 s r)
(-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 #s(literal 6 binary32) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))
(.f32 (PI.f32) (.f32 s r))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(PI.f32)
(*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))
(*.f32 (PI.f32) r)
(/.f32 r (PI.f32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32))
#s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))
(fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s))
#s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
(/.f32 #s(literal 3/4 binary32) (*.f32 s r))

Outputs
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eval437.0ms (3.3%)

Memory: 0.9MiB live, 400.6MiB allocated
Compiler: Compiled 63 667 to 5 236 computations (91.8% saved)

prune593.0ms (4.4%)

Memory

-4.2MiB live, 599.1MiB allocated

Pruning

137 alts after pruning (132 fresh and 5 done)

	Pruned	Kept	Total
New	1 786	91	1 877
Fresh	33	41	74
Picked	1	4	5
Done	0	1	1
Total	1 820	137	1 957

Accuracy

99.8%

Counts

1 957 → 137

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.3%	(fma.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
	7.1%	(fma.f32 (/.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/6 binary32)) (PI.f32)) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	5.1%	(fma.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 r) s) #s(literal 1/3 binary32))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) r)))
	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s #s(literal 8 binary32)) (PI.f32)))))
	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 s #s(literal 8 binary32))))))
	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s))))
	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal -1/8 binary32) (.f32 (neg.f32 s) (PI.f32)))))
	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal -1/8 binary32) (neg.f32 (.f32 (PI.f32) s)))))
	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)))))
	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (neg.f32 (/.f32 #s(literal -3/4 binary32) (.f32 s r))) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	93.3%	(fma.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
	93.3%	(fma.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
	93.3%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r)) (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s r) (PI.f32))) (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s r) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	93.3%	(fma.f32 (.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
	93.3%	(fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r)) (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
	7.1%	(fma.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s r) (PI.f32)))) #s(literal 3/4 binary32) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 3/4 binary32)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s r) (PI.f32))) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) r)))
	7.1%	(fma.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/6 binary32)) (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 s r) (PI.f32))) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) r)))
	7.1%	(fma.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 s r) (PI.f32))) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) r)))
	7.1%	(fma.f32 #s(approx (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
▶	93.3%	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
	93.3%	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (.f32 (PI.f32) r)) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
	93.3%	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r)) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	58.4%	(/.f32 (fma.f32 (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) (/.f32 (.f32 #s(literal 3/4 binary32) r) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r) #s(literal 6 binary32)) (.f32 (*.f32 s r) (PI.f32))))
	11.5%	(/.f32 (.f32 (/.f32 #s(literal 1/512 binary32) (pow.f32 (.f32 (PI.f32) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) #s(literal 3 binary32)))) (+.f32 (pow.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (cbrt.f32 (exp.f32 (/.f32 r s)))) r) #s(literal 2 binary32)) (.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r) (/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))))) r))))
	8.5%	(+.f32 (/.f32 (.f32 #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32))) #s(literal 1/4 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 (PI.f32) s))))
	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
▶	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)))
	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 s r)))))
✓	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s)) (.f32 r #s(literal 1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 (.f32 #s(literal -1/6 binary32) r) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 r (.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
✓	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 r #s(literal 3 binary32))))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (+.f32 (.f32 (/.f32 r s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (+.f32 #s(literal 1/2 binary32) (.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (.f32 (/.f32 r s) #s(literal -1/6 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s))) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(approx (+ ( -1/6 (/ r s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 r s))) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 r s) (.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 r s) (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 r s) #s(literal -1/6 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s))) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
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	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) r (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 (PI.f32) s))))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32)) (/.f32 r s) (fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s))) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.7%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s) (.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (/.f32 r s) s))) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (/.f32 r s) (/.f32 (/.f32 r s) s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s))) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
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	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) s (.f32 s (.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 r s)))) (.f32 s s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
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	8.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 r (.f32 (fma.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 #s(literal 1 binary32) (.f32 (fma.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s)) r) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 (.f32 r #s(literal 1/8 binary32)) s) (/.f32 r s) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 1/4 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	87.7%	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) #s(approx (/ 1 (* r (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 (PI.f32) s) r) r))))
	87.7%	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	12.2%	(.f32 (+.f32 r (.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) r)))
	8.8%	(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/12 binary32) s) (/.f32 r s) (/.f32 #s(literal -1 binary32) s)) r #s(literal 3/2 binary32)) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	8.2%	(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	93.9%	(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (.f32 #s(literal 3/4 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	8.8%	(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 #s(literal 3/2 binary32) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
▶	5.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) s) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) s) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
▶	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
	8.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (.f32 (PI.f32) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s #s(literal 1/4 binary32))) (.f32 s (.f32 (*.f32 s r) (PI.f32)))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (neg.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
	9.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (PI.f32)) r)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s)) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 (neg.f32 (PI.f32)) r) (.f32 s #s(literal -1/4 binary32))) (.f32 (.f32 (neg.f32 s) r) (PI.f32))) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) r (.f32 s (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (.f32 s r)) s))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (.f32 r #s(literal 1 binary32))) (.f32 r (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))))) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (.f32 (neg.f32 (PI.f32)) r) (.f32 (neg.f32 s) #s(literal -1/4 binary32))) (.f32 (neg.f32 s) (.f32 (neg.f32 (PI.f32)) r))) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (.f32 (PI.f32) r) (.f32 (neg.f32 s) #s(literal 1/4 binary32))) (.f32 (.f32 (neg.f32 s) r) (PI.f32))) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) r (.f32 (neg.f32 s) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (.f32 (neg.f32 s) r)) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (PI.f32) r (.f32 (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) #s(literal 1/4 binary32))) (.f32 (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (*.f32 (PI.f32) r))) s))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) r) #s(literal 4 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (PI.f32) r) #s(literal 4 binary32)) (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))))) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) r) #s(literal 4 binary32)) (.f32 (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (.f32 (.f32 (PI.f32) r) #s(literal 4 binary32)))) s))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 s) (.f32 (.f32 (.f32 (PI.f32) r) #s(literal 4 binary32)) (neg.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))))) (.f32 (.f32 (.f32 (PI.f32) r) #s(literal 4 binary32)) (neg.f32 s))) s))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal 1 binary32) s (.f32 (.f32 (.f32 (PI.f32) r) #s(literal 4 binary32)) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))))) (.f32 (.f32 (.f32 (PI.f32) r) #s(literal 4 binary32)) s)) s))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (.f32 (.f32 (PI.f32) r) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) r) (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))))) s))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (neg.f32 s) (.f32 (.f32 (PI.f32) r) (neg.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))))) (.f32 (.f32 (PI.f32) r) (neg.f32 s))) s))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) r) #s(literal 1 binary32))) (.f32 (.f32 (neg.f32 (PI.f32)) r) (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))))) s))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (neg.f32 s) (.f32 (.f32 (neg.f32 (PI.f32)) r) (neg.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))))) (.f32 (.f32 (neg.f32 (PI.f32)) r) (neg.f32 s))) s))
	3.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) s (.f32 (.f32 (neg.f32 (PI.f32)) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))))) (.f32 (.f32 (neg.f32 (PI.f32)) r) s)) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (PI.f32)))) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
✓	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
	9.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) (-.f32 (/.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) s) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 r (-.f32 (/.f32 #s(literal -5/72 binary32) (PI.f32)) (.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -7/324 binary32) s)))) s)) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
	8.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) s)) s))
	8.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) s))) s))
	9.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal -1/6 binary32) s) (.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) (PI.f32))) (.f32 (PI.f32) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
	9.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) r))) s))
	9.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) s))
✓	9.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) s))
	5.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 s (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (.f32 s s))) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
	4.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (*.f32 s s) (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) r) s)) r)) s))
	9.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) s)) r) (/.f32 #s(literal 5/72 binary32) (.f32 (.f32 s s) (PI.f32)))) r)) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
▶	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
✓	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
	8.8%	#s(approx (* (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r)))) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) (-.f32 (/.f32 (fma.f32 (/.f32 (.f32 (.f32 r r) #s(literal -1/6 binary32)) (PI.f32)) (/.f32 #s(literal -1/4 binary32) r) (.f32 (/.f32 r (PI.f32)) #s(literal 3/8 binary32))) s) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
	97.0%	#s(approx (* (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s r)) (/.f32 (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))) (PI.f32))))

Compiler

Compiled 7 875 to 5 688 computations (27.8% saved)

simplify224.0ms (1.7%)

Memory

18.9MiB live, 179.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))
cost-diff	32	(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff	192	(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
cost-diff	1120	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
cost-diff	0	(/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r)
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
cost-diff	512	(fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)))
cost-diff	2880	(fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s))
cost-diff	0	(/.f32 #s(literal 1 binary32) s)
cost-diff	0	(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
cost-diff	352	(fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
cost-diff	0	(PI.f32)
cost-diff	0	(*.f32 (PI.f32) r)
cost-diff	0	(.f32 (.f32 (PI.f32) r) s)
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
cost-diff	0	(neg.f32 r)
cost-diff	0	(/.f32 (neg.f32 r) s)
cost-diff	0	(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff	1504	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)))

Rules

4 056×	`lower-fma.f64`
4 046×	`lower-fma.f32`
3 766×	`lower-*.f64`
3 734×	`lower-*.f32`
2 826×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	610
0	137	612
1	250	584
2	616	551
3	2002	540
4	4350	534
5	4606	534
6	4943	534
7	5484	534
8	5784	534
9	5985	534
10	7133	534
11	7292	534
12	7355	534
13	7649	534
0	8002	525

Stop Event

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

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s))
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(*.f32 #s(literal -3 binary32) s)
#s(literal -3 binary32)
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)
(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))
#s(literal 1/4 binary32)
(.f32 (.f32 (PI.f32) r) s)
(*.f32 (PI.f32) r)
(PI.f32)
r
s
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)
(fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
(/.f32 #s(literal 1 binary32) s)
#s(literal 1 binary32)
s
(fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
#s(literal 5/72 binary32)
(/.f32 (/.f32 r (PI.f32)) s)
(/.f32 r (PI.f32))
r
(PI.f32)
(/.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r)
(fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)))
(fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s))
(/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))
#s(literal 5/72 binary32)
(*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))
(pow.f32 s #s(literal 3 binary32))
s
#s(literal 3 binary32)
(PI.f32)
r
(/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)
(/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s)
(/.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) s)
(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
#s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r)
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
(/.f32 #s(literal 1/8 binary32) s)
#s(literal 1/8 binary32)
s
(PI.f32)
r
(.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32))
(/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32)))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(.f32 (.f32 s r) (PI.f32))
(*.f32 s r)

Outputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)))
(.f32 (+.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) r))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) r) s) (PI.f32))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (cbrt.f32 (exp.f32 (/.f32 r s)))) (PI.f32))
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s))))
(/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(*.f32 #s(literal -3 binary32) s)
#s(literal -3 binary32)
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)
(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r))
#s(literal 1/4 binary32)
(.f32 (.f32 (PI.f32) r) s)
(.f32 (.f32 s r) (PI.f32))
(*.f32 (PI.f32) r)
(PI.f32)
r
s
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) r #s(literal -1/6 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)
(/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) r #s(literal -1/6 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)
(fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
(fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) r #s(literal -1/6 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
(/.f32 #s(literal 1 binary32) s)
#s(literal 1 binary32)
s
(fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
(fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
#s(literal 5/72 binary32)
(/.f32 (/.f32 r (PI.f32)) s)
(/.f32 r (PI.f32))
r
(PI.f32)
(/.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) r #s(literal -1/6 binary32)) (/.f32 (/.f32 (/.f32 r s) s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r)
(/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) r #s(literal -1/6 binary32)) (/.f32 (/.f32 (/.f32 r s) s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)))
(fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) r #s(literal -1/6 binary32)) (/.f32 (/.f32 (/.f32 r s) s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
(fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) s) (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))))
(/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))
#s(literal 5/72 binary32)
(*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))
(pow.f32 s #s(literal 3 binary32))
s
#s(literal 3 binary32)
(PI.f32)
r
(/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)
(/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) s) s) (PI.f32))
(/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s)
(/.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) s)
(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
(.f32 (+.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))) (/.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) r))
#s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r)
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))
(/.f32 #s(literal 1/8 binary32) s)
#s(literal 1/8 binary32)
s
(PI.f32)
r
(.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) (cbrt.f32 (exp.f32 (/.f32 r s)))) (PI.f32))
(/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32)))
(/.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s)) (.f32 (.f32 s r) (PI.f32)))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(.f32 (.f32 s r) (PI.f32))
(*.f32 s r)

localize425.0ms (3.2%)

Memory

-21.3MiB live, 329.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3561325195368841	(.f32 (.f32 s r) (PI.f32))
accuracy	0.40234375	(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
accuracy	5.624169047982133	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
accuracy	28.868479719266585	#s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))
accuracy	0.37890625	(*.f32 (PI.f32) s)
accuracy	27.42965139121681	(fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)))
accuracy	28.935882769677242	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
accuracy	30.2042344258979	(fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s))
accuracy	0.3984375	(*.f32 (PI.f32) r)
accuracy	28.935882769677242	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
accuracy	29.547242820240257	(fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
accuracy	31.068154315022095	(fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
accuracy	0.2578125	(.f32 (.f32 (PI.f32) r) s)
accuracy	0.27962875976844204	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))
accuracy	0.3984375	(*.f32 (PI.f32) r)
accuracy	29.19087007623448	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
accuracy	0.25390625	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy	0.2734375	(/.f32 r (*.f32 #s(literal -3 binary32) s))
accuracy	0.3203125	(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)
accuracy	0.37890625	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)

Samples

295.0ms

256×

valid

Compiler

Compiled 563 to 75 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 222.0ms

ival-mult: 135.0ms (60.7% of total)

ival-div: 47.0ms (21.1% of total)

const: 17.0ms (7.6% of total)

ival-add: 11.0ms (4.9% of total)

ival-exp: 5.0ms (2.2% of total)

ival-cbrt: 2.0ms (0.9% of total)

ival-pow: 2.0ms (0.9% of total)

ival-pi: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series99.0ms (0.7%)

Memory

5.5MiB live, 79.7MiB allocated

Counts

28 → 576

Calls

Call 1

Inputs
#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())
#s(alt (neg.f32 r) (patch (neg.f32 r) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (PI.f32) r) s) (patch (.f32 (.f32 (PI.f32) r) s) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) r) (patch (.f32 (PI.f32) r) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) (patch (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)) (patch #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s) (patch (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) s) (patch (/.f32 #s(literal 1 binary32) s) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) (patch (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) (patch (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r) (patch (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r) #<representation binary32>) () ())
#s(alt (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32))) (patch (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (patch (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) #<representation binary32>) () ())
#s(alt (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (patch (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (patch #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) (patch (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s) (patch (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s) #<representation binary32>) () ())
#s(alt (/.f32 r (.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (patch (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) s) (patch (.f32 (PI.f32) s) #<representation binary32>) () ())
#s(alt (.f32 (.f32 s r) (PI.f32)) (patch (.f32 (.f32 s r) (PI.f32)) #<representation binary32>) () ())

Outputs
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 (PI.f32) r) s) (patch (.f32 (.f32 (PI.f32) r) s) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 (PI.f32) r) s) (patch (.f32 (.f32 (PI.f32) r) s) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 (PI.f32) r) s) (patch (.f32 (.f32 (PI.f32) r) s) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 (PI.f32) r) s) (patch (.f32 (.f32 (PI.f32) r) s) #<representation binary32>) () ())) ())
#s(alt (* 5/72 (/ r (* (pow s 2) (PI)))) (taylor 0 s) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) (patch (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) (patch (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 2)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) (patch (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 2)) (taylor 0 s) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) (patch (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)) (patch #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)) (patch #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s)) (patch #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)) #<representation binary32>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r)) (taylor -inf r) (#s(alt (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32))) (patch (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r)) (taylor -inf r) (#s(alt (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32))) (patch (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r)) (taylor -inf r) (#s(alt (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32))) (patch (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32))) #<representation binary32>) () ())) ())
#s(alt (cbrt (exp (* -1 (/ r s)))) (taylor -inf r) (#s(alt (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (patch (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())) ())
#s(alt (cbrt (exp (* -1 (/ r s)))) (taylor -inf r) (#s(alt (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (patch (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())) ())
#s(alt (cbrt (exp (* -1 (/ r s)))) (taylor -inf r) (#s(alt (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (patch (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())) ())
#s(alt (cbrt (exp (* -1 (/ r s)))) (taylor -inf r) (#s(alt (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (patch (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor -inf r) (#s(alt #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (patch #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor -inf r) (#s(alt #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (patch #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor -inf r) (#s(alt #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (patch #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor -inf r) (#s(alt #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (patch #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s) (patch (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s) (patch (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s) (patch (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s) (patch (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf r) (#s(alt (/.f32 r (.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf r) (#s(alt (/.f32 r (.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf r) (#s(alt (/.f32 r (.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor -inf r) (#s(alt (/.f32 r (.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor -inf r) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor -inf r) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor -inf r) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor -inf r) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)) #<representation binary32>) () ())) ())
#s(alt (* 5/72 (/ r (* s (PI)))) (taylor -inf r) (#s(alt (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (patch (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* r (- (* 1/6 (/ 1 (* r (PI)))) (* 5/72 (/ 1 (* s (PI))))))) (taylor -inf r) (#s(alt (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (patch (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* r (- (* 1/6 (/ 1 (* r (PI)))) (* 5/72 (/ 1 (* s (PI))))))) (taylor -inf r) (#s(alt (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (patch (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* r (- (* 1/6 (/ 1 (* r (PI)))) (* 5/72 (/ 1 (* s (PI))))))) (taylor -inf r) (#s(alt (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (patch (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (.f32 (.f32 s r) (PI.f32)) (patch (.f32 (.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (.f32 (.f32 s r) (PI.f32)) (patch (.f32 (.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (.f32 (.f32 s r) (PI.f32)) (patch (.f32 (.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (.f32 (.f32 s r) (PI.f32)) (patch (.f32 (.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	r	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* (* 6 (PI)) r) s))) (exp (/ (neg r) s)) (/ (neg r) s) (neg r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* (* (PI) r) s) (* (PI) r) (PI) (+ (* (/ 1 s) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI)))) (/ 1/4 (* (PI) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ 1 s) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI)))) (/ 1/4 (* (PI) r))) s) (/ 1 s) (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) (+ (* (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) r) (/ 1/4 (* (PI) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) r) (/ 1/4 (* (PI) s))) r) (+ (* (exp (/ (neg r) s)) (/ (/ (/ 1/8 s) (PI)) r)) (* (/ (cbrt (exp (/ (neg r) s))) (* (* s r) (PI))) 1/8)) (/ (/ 1/8 s) (PI)) (cbrt (exp (/ (neg r) s))) (exp (/ (neg r) s)) (* (* 2 (PI)) s) (* (* (* 6 (PI)) r) s) (/ r (* -3 s)) (* (* (* 2 (PI)) s) r) (/ 1/4 (* (* (PI) r) s)) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (* (PI) s) (* (* s r) (PI)))
18.0ms	s	@	-inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* (* 6 (PI)) r) s))) (exp (/ (neg r) s)) (/ (neg r) s) (neg r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* (* (PI) r) s) (* (PI) r) (PI) (+ (* (/ 1 s) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI)))) (/ 1/4 (* (PI) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ 1 s) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI)))) (/ 1/4 (* (PI) r))) s) (/ 1 s) (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) (+ (* (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) r) (/ 1/4 (* (PI) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) r) (/ 1/4 (* (PI) s))) r) (+ (* (exp (/ (neg r) s)) (/ (/ (/ 1/8 s) (PI)) r)) (* (/ (cbrt (exp (/ (neg r) s))) (* (* s r) (PI))) 1/8)) (/ (/ 1/8 s) (PI)) (cbrt (exp (/ (neg r) s))) (exp (/ (neg r) s)) (* (* 2 (PI)) s) (* (* (* 6 (PI)) r) s) (/ r (* -3 s)) (* (* (* 2 (PI)) s) r) (/ 1/4 (* (* (PI) r) s)) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (* (PI) s) (* (* s r) (PI)))
7.0ms	r	@	-inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* (* 6 (PI)) r) s))) (exp (/ (neg r) s)) (/ (neg r) s) (neg r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* (* (PI) r) s) (* (PI) r) (PI) (+ (* (/ 1 s) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI)))) (/ 1/4 (* (PI) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ 1 s) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI)))) (/ 1/4 (* (PI) r))) s) (/ 1 s) (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) (+ (* (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) r) (/ 1/4 (* (PI) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) r) (/ 1/4 (* (PI) s))) r) (+ (* (exp (/ (neg r) s)) (/ (/ (/ 1/8 s) (PI)) r)) (* (/ (cbrt (exp (/ (neg r) s))) (* (* s r) (PI))) 1/8)) (/ (/ 1/8 s) (PI)) (cbrt (exp (/ (neg r) s))) (exp (/ (neg r) s)) (* (* 2 (PI)) s) (* (* (* 6 (PI)) r) s) (/ r (* -3 s)) (* (* (* 2 (PI)) s) r) (/ 1/4 (* (* (PI) r) s)) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (* (PI) s) (* (* s r) (PI)))
6.0ms	s	@	0	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* (* 6 (PI)) r) s))) (exp (/ (neg r) s)) (/ (neg r) s) (neg r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* (* (PI) r) s) (* (PI) r) (PI) (+ (* (/ 1 s) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI)))) (/ 1/4 (* (PI) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ 1 s) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI)))) (/ 1/4 (* (PI) r))) s) (/ 1 s) (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) (+ (* (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) r) (/ 1/4 (* (PI) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) r) (/ 1/4 (* (PI) s))) r) (+ (* (exp (/ (neg r) s)) (/ (/ (/ 1/8 s) (PI)) r)) (* (/ (cbrt (exp (/ (neg r) s))) (* (* s r) (PI))) 1/8)) (/ (/ 1/8 s) (PI)) (cbrt (exp (/ (neg r) s))) (exp (/ (neg r) s)) (* (* 2 (PI)) s) (* (* (* 6 (PI)) r) s) (/ r (* -3 s)) (* (* (* 2 (PI)) s) r) (/ 1/4 (* (* (PI) r) s)) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (* (PI) s) (* (* s r) (PI)))
4.0ms	s	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* (* 6 (PI)) r) s))) (exp (/ (neg r) s)) (/ (neg r) s) (neg r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* (* (PI) r) s) (* (PI) r) (PI) (+ (* (/ 1 s) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI)))) (/ 1/4 (* (PI) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ 1 s) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI)))) (/ 1/4 (* (PI) r))) s) (/ 1 s) (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) (+ (* (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) r) (/ 1/4 (* (PI) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) r) (/ 1/4 (* (PI) s))) r) (+ (* (exp (/ (neg r) s)) (/ (/ (/ 1/8 s) (PI)) r)) (* (/ (cbrt (exp (/ (neg r) s))) (* (* s r) (PI))) 1/8)) (/ (/ 1/8 s) (PI)) (cbrt (exp (/ (neg r) s))) (exp (/ (neg r) s)) (* (* 2 (PI)) s) (* (* (* 6 (PI)) r) s) (/ r (* -3 s)) (* (* (* 2 (PI)) s) r) (/ 1/4 (* (* (PI) r) s)) (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (* (PI) s) (* (* s r) (PI)))

simplify211.0ms (1.6%)

Memory

21.6MiB live, 305.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 186×	`lower-fma.f64`
15 186×	`lower-fma.f32`
5 394×	`lower-*.f64`
5 394×	`lower-*.f32`
3 712×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	421	7287
1	1238	6835
2	3748	6694
0	8165	6512

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

Inputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ -1/6 (* (pow s 2) (PI)))
(- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(/ 1/4 (* s (PI)))
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(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
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(/ 1/4 (* r (* s (PI))))
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(/ 1/4 (* r (* s (PI))))
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 r)
(* -1 r)
(* -1 r)
(* -1 r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
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(* r (- (+ (/ 1/4 (* (pow r 2) (PI))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) (/ 1/6 (* r (* s (PI))))))
(* r (- (+ (/ 1/4 (* (pow r 2) (PI))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) (/ 1/6 (* r (* s (PI))))))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* 5/72 (/ r (* (pow s 3) (PI))))
(* r (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(* r (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(* r (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(* 5/72 (/ r (* (pow s 3) (PI))))
(* r (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(* r (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(* r (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(* 5/72 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(* (pow r 2) (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(* (pow r 2) (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* 5/72 (/ r (* (pow s 3) (PI))))
(* r (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(* r (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(* r (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(/ (+ (* 1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r)
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* 5/72 (/ r (* s (PI))))
(* r (- (* 5/72 (/ 1 (* s (PI)))) (* 1/6 (/ 1 (* r (PI))))))
(* r (- (* 5/72 (/ 1 (* s (PI)))) (* 1/6 (/ 1 (* r (PI))))))
(* r (- (* 5/72 (/ 1 (* s (PI)))) (* 1/6 (/ 1 (* r (PI))))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 r)
(* -1 r)
(* -1 r)
(* -1 r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* 5/72 (/ r (* (pow s 2) (PI))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* 5/72 (/ r (* (pow s 3) (PI))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* 5/72 (/ r (* (pow s 3) (PI))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* 5/72 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(* (pow r 2) (+ (* -1 (/ (- (* 1/6 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (* s (PI)))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (+ (* -1 (/ (- (* 1/6 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (* s (PI)))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI))))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* 5/72 (/ r (* (pow s 3) (PI))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* 5/72 (/ r (* s (PI))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (PI)))) (* 5/72 (/ 1 (* s (PI)))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (PI)))) (* 5/72 (/ 1 (* s (PI)))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (PI)))) (* 5/72 (/ 1 (* s (PI)))))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))

Outputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)))) s)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* 5/72 (/ r (* (pow s 2) (PI))))
(.f32 (/.f32 r (.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal -1/6 binary32))) s) s)
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(.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s) r)) r)
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(.f32 (/.f32 (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(.f32 (/.f32 (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(.f32 (/.f32 (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (* (/ 1 (* s (PI))) (cbrt (exp (* -1 (/ r s)))))) (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))) r))
(.f32 (/.f32 (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(cbrt (exp (* -1 (/ r s))))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(cbrt (exp (* -1 (/ r s))))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(cbrt (exp (* -1 (/ r s))))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(cbrt (exp (* -1 (/ r s))))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) s) r))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* 2 (* r (* s (PI))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r)
(* 5/72 (/ r (* s (PI))))
(*.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32))
(* -1 (* r (- (* 1/6 (/ 1 (* r (PI)))) (* 5/72 (/ 1 (* s (PI)))))))
(.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) s)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) r)) r)
(* -1 (* r (- (* 1/6 (/ 1 (* r (PI)))) (* 5/72 (/ 1 (* s (PI)))))))
(.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) s)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) r)) r)
(* -1 (* r (- (* 1/6 (/ 1 (* r (PI)))) (* 5/72 (/ 1 (* s (PI)))))))
(.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) s)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) r)) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)
(* r (* s (PI)))
(.f32 (.f32 (PI.f32) s) r)

rewrite186.0ms (1.4%)

Memory

-18.3MiB live, 257.7MiB allocated

Rules

5 392×	`lower-*.f64`
5 360×	`lower-*.f32`
3 388×	`lower-fma.f64`
3 378×	`lower-fma.f32`
2 708×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	410
0	137	410
1	506	388
2	4765	388
0	8239	384

Stop Event

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

Counts

28 → 672

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
(.f32 (.f32 (PI.f32) r) s)
(*.f32 (PI.f32) r)
(PI.f32)
(fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s)
(/.f32 #s(literal 1 binary32) s)
(fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s))
(fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r (/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r)
(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
#s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))
(fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
(*.f32 (PI.f32) s)
(.f32 (.f32 s r) (PI.f32))

Outputs
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eval246.0ms (1.8%)

Memory: 31.3MiB live, 495.0MiB allocated
Compiler: Compiled 48 052 to 4 751 computations (90.1% saved)

prune281.0ms (2.1%)

Memory

-3.1MiB live, 834.5MiB allocated

Pruning

158 alts after pruning (150 fresh and 8 done)

	Pruned	Kept	Total
New	1 583	73	1 656
Fresh	50	77	127
Picked	2	3	5
Done	0	5	5
Total	1 635	158	1 793

Accuracy

99.8%

Counts

1 793 → 158

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(fma.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 r) s) #s(literal 1/3 binary32))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (neg.f32 (/.f32 #s(literal -3/4 binary32) (.f32 s r))) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	7.1%	(fma.f32 #s(approx (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
	88.4%	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
	88.4%	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 r) s) #s(literal 1/3 binary32))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
	92.1%	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1 binary32) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
	8.9%	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 s r)))) #s(literal 1/8 binary32)))
	93.3%	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
	93.3%	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 r (*.f32 (PI.f32) s))) #s(literal 1/8 binary32)))
	7.3%	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) (fma.f32 (.f32 r (/.f32 r s)) (/.f32 #s(literal 1/18 binary32) s) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32)))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
	7.1%	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
	7.1%	(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) #s(literal 1 binary32)) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
	58.4%	(/.f32 (fma.f32 (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) (/.f32 (.f32 #s(literal 3/4 binary32) r) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r) #s(literal 6 binary32)) (.f32 (*.f32 s r) (PI.f32))))
	11.5%	(/.f32 (.f32 (/.f32 #s(literal 1/512 binary32) (pow.f32 (.f32 (PI.f32) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) #s(literal 3 binary32)))) (+.f32 (pow.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (cbrt.f32 (exp.f32 (/.f32 r s)))) r) #s(literal 2 binary32)) (.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r) (/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))))) r))))
	99.3%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))) r) s)))
✓	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)))
	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 s r)))))
✓	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 r (.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
✓	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 r #s(literal 3 binary32))))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (+.f32 #s(literal 1/2 binary32) (.f32 (/.f32 r s) #s(literal -1/6 binary32))) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(approx (+ ( -1/6 (/ r s)) 1/2) (.f32 #s(literal -1/6 binary32) (/.f32 r s))) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 r s) (.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 r s) (.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (/.f32 r s) #s(literal -1/6 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s))) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) r (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 (PI.f32) s))))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) r (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) r) s)))
	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (/.f32 r s) (/.f32 (/.f32 r s) s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s))) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	7.7%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) r) s) (/.f32 r s) (-.f32 #s(literal 1 binary32) (/.f32 r s))))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 r s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) r #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)))
	8.6%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 (.f32 r #s(literal 1/8 binary32)) s) (/.f32 r s) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 1/4 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	87.7%	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	12.2%	(.f32 (+.f32 r (.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) r)))
	8.8%	(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/12 binary32) s) (/.f32 r s) (/.f32 #s(literal -1 binary32) s)) r #s(literal 3/2 binary32)) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	8.2%	(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	93.9%	(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (.f32 #s(literal 3/4 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
	8.8%	(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 #s(literal 3/2 binary32) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
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	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
✓	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
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	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
✓	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
	9.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) (-.f32 (/.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) s) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 r (-.f32 (/.f32 #s(literal -5/72 binary32) (PI.f32)) (.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -7/324 binary32) s)))) s)) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
	8.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) s)) s))
	8.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) s))) s))
	9.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal -1/6 binary32) s) (.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) (PI.f32))) (.f32 (PI.f32) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
	9.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) s))
✓	9.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) s))
	4.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (*.f32 s s) (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) r) s)) r)) s))
	9.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) s)) r) (/.f32 #s(literal 5/72 binary32) (.f32 (.f32 s s) (PI.f32)))) r)) s))
	5.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) r) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (.f32 (/.f32 s (PI.f32)) r) #s(literal -1/6 binary32) (.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal 5/72 binary32))) (pow.f32 s #s(literal 3 binary32)))) r))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
✓	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
✓	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) s) #s(literal 1/4 binary32)))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (/.f32 #s(literal 1/4 binary32) (PI.f32))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))))
	8.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
	97.0%	#s(approx (* (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s r)) (/.f32 (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))) (PI.f32))))

Compiler

Compiled 11 276 to 4 183 computations (62.9% saved)

regimes212.0ms (1.6%)

Memory

-2.0MiB live, 475.2MiB allocated

Counts

260 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (/.f32 #s(literal 1/4 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) s) #s(literal 1/4 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 #s(literal 3/2 binary32) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s)) s))
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(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 #s(literal 6 binary32) r) (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 s r) (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 6 binary32)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 s r)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)) (/.f32 #s(literal 1/4 binary32) r) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 s r) (PI.f32))) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) r)) (/.f32 #s(literal 3/4 binary32) (.f32 (PI.f32) s)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 #s(literal 6 binary32) r) (PI.f32))) (/.f32 #s(literal 3/4 binary32) s) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)) (/.f32 #s(literal 3/4 binary32) r) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/6 binary32)) (PI.f32)) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)) #s(literal 1/4 binary32) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (neg.f32 (/.f32 #s(literal -3/4 binary32) (.f32 s r))) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (fma.f32 #s(literal 3/2 binary32) r (/.f32 (fma.f32 r r (/.f32 (fma.f32 (.f32 (pow.f32 r #s(literal 3 binary32)) #s(literal -1/6 binary32)) #s(literal -1/4 binary32) (.f32 #s(literal 3/8 binary32) (pow.f32 r #s(literal 3 binary32)))) (neg.f32 s))) (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
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(/.f32 (fma.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)) r (.f32 (.f32 (.f32 s r) (PI.f32)) (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (.f32 (.f32 (.f32 s r) (PI.f32)) r))
(/.f32 (fma.f32 (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) #s(literal 1/8 binary32)) r (.f32 (.f32 (PI.f32) s) (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (.f32 (.f32 s r) (PI.f32)))
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(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (*.f32 (PI.f32) r) s))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r (*.f32 #s(literal 6 binary32) (PI.f32))) s)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 (PI.f32) s))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -3 binary32) s) r)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (* (+ (* (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (/ 1 (* r (* (* (* 6 (PI)) s) r)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s r)) (/.f32 (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))) (PI.f32))))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (.f32 #s(literal 3/4 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1 binary32) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r)))))
(-.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r) (.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) s)) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) #s(approx (/ 1 (* r (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 (PI.f32) s) r) r))))
(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 r (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) (/.f32 (.f32 #s(literal 3/4 binary32) r) (cbrt.f32 (exp.f32 (/.f32 r s)))))) (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r) #s(literal 6 binary32)) (.f32 (*.f32 s r) (PI.f32))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) (*.f32 s r)))))
(/.f32 (+.f32 r (.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (*.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) r))
(.f32 (+.f32 r (.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) r)))
(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 s r)))) #s(literal 1/8 binary32)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 s r))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))) r) s)))
(.f32 (+.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (/.f32 (/.f32 r (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (cbrt.f32 (exp.f32 (/.f32 r s)))) r) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r)))
(/.f32 (+.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (/.f32 (/.f32 r (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (/.f32 (/.f32 (/.f32 r (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r)))
(/.f32 (.f32 (/.f32 #s(literal 1/512 binary32) (pow.f32 (.f32 (PI.f32) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) #s(literal 3 binary32)))) (+.f32 (pow.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (cbrt.f32 (exp.f32 (/.f32 r s)))) r) #s(literal 2 binary32)) (.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r) (/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))))) r))))

Outputs

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 s r)))))

Calls

3 calls:

70.0ms

57.0ms

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Results

Accuracy	Segments	Branch
99.6%	1	`s`
99.6%	1	`r`
99.6%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes259.0ms (1.9%)

Memory

19.8MiB live, 258.4MiB allocated

Counts

229 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (/.f32 #s(literal 1/4 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) s) #s(literal 1/4 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 #s(literal 3/2 binary32) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) s) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) #s(literal 1 binary32)) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
(fma.f32 #s(approx (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (*.f32 s s) (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) r) s)) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (.f32 (PI.f32) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s #s(literal 1/4 binary32))) (.f32 s (.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (PI.f32)) r)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (PI.f32)) r)) (/.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (neg.f32 (/.f32 #s(literal -1 binary32) s)) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
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(fma.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) r))) s))
(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r)) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) r)))
(fma.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 s r) (PI.f32))) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/6 binary32)) (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 s r) (PI.f32))) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) r)))
(fma.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 3/4 binary32)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s r) (PI.f32))) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (PI.f32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) r)))
(fma.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s r) (PI.f32)))) #s(literal 3/4 binary32) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r)) (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 (.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) r) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s r) (PI.f32))) (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal -1/8 binary32) (neg.f32 (.f32 (PI.f32) s)))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal -1/8 binary32) (.f32 (neg.f32 s) (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s r) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r)) (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 s #s(literal 8 binary32))))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s #s(literal 8 binary32)) (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (.f32 s r)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 (PI.f32) s)) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 #s(literal 6 binary32) r) (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 s r) (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 6 binary32)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 s r)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)) (/.f32 #s(literal 1/4 binary32) r) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 s r) (PI.f32))) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) r)) (/.f32 #s(literal 3/4 binary32) (.f32 (PI.f32) s)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 #s(literal 6 binary32) r) (PI.f32))) (/.f32 #s(literal 3/4 binary32) s) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)) (/.f32 #s(literal 3/4 binary32) r) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/6 binary32)) (PI.f32)) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)) #s(literal 1/4 binary32) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (neg.f32 (/.f32 #s(literal -3/4 binary32) (.f32 s r))) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (fma.f32 #s(literal 3/2 binary32) r (/.f32 (fma.f32 r r (/.f32 (fma.f32 (.f32 (pow.f32 r #s(literal 3 binary32)) #s(literal -1/6 binary32)) #s(literal -1/4 binary32) (.f32 #s(literal 3/8 binary32) (pow.f32 r #s(literal 3 binary32)))) (neg.f32 s))) (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
(/.f32 (fma.f32 (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 s r) (PI.f32)) (.f32 r (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)))) (.f32 r (.f32 (.f32 s r) (PI.f32))))
(/.f32 (fma.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)) r (.f32 (.f32 (.f32 s r) (PI.f32)) (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (.f32 (.f32 (.f32 s r) (PI.f32)) r))
(/.f32 (fma.f32 (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) #s(literal 1/8 binary32)) r (.f32 (.f32 (PI.f32) s) (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (.f32 (.f32 s r) (PI.f32)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Outputs

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Calls

3 calls:

111.0ms

75.0ms

60.0ms

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Results

Accuracy	Segments	Branch
99.5%	1	`s`
99.5%	1	`r`
99.5%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes268.0ms (2%)

Memory

7.5MiB live, 238.3MiB allocated

Counts

228 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (/.f32 #s(literal 1/4 binary32) (PI.f32))))
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(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal -1/8 binary32) (neg.f32 (.f32 (PI.f32) s)))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal -1/8 binary32) (.f32 (neg.f32 s) (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s r) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s)))) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r)) (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 s #s(literal 8 binary32))))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s #s(literal 8 binary32)) (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (.f32 s r)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 (PI.f32) s)) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 #s(literal 6 binary32) r) (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 s r) (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 6 binary32)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 s r)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)) (/.f32 #s(literal 1/4 binary32) r) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (.f32 (.f32 s r) (PI.f32))) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) r)) (/.f32 #s(literal 3/4 binary32) (.f32 (PI.f32) s)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 #s(literal 6 binary32) r) (PI.f32))) (/.f32 #s(literal 3/4 binary32) s) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)) (/.f32 #s(literal 3/4 binary32) r) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/6 binary32)) (PI.f32)) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)) #s(literal 1/4 binary32) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(fma.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 #s(literal 6 binary32) (PI.f32))) (neg.f32 (/.f32 #s(literal -3/4 binary32) (.f32 s r))) (*.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (fma.f32 #s(literal 3/2 binary32) r (/.f32 (fma.f32 r r (/.f32 (fma.f32 (.f32 (pow.f32 r #s(literal 3 binary32)) #s(literal -1/6 binary32)) #s(literal -1/4 binary32) (.f32 #s(literal 3/8 binary32) (pow.f32 r #s(literal 3 binary32)))) (neg.f32 s))) (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
(/.f32 (fma.f32 (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))) (.f32 (.f32 s r) (PI.f32)) (.f32 r (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)))) (.f32 r (.f32 (.f32 s r) (PI.f32))))
(/.f32 (fma.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)) r (.f32 (.f32 (.f32 s r) (PI.f32)) (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (.f32 (.f32 (.f32 s r) (PI.f32)) r))
(/.f32 (fma.f32 (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) #s(literal 1/8 binary32)) r (.f32 (.f32 (PI.f32) s) (.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))) (.f32 (.f32 s r) (PI.f32)))

Outputs

(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (PI.f32) r)) (*.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))

Calls

3 calls:

97.0ms

83.0ms

76.0ms

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Results

Accuracy	Segments	Branch
93.3%	1	`s`
93.3%	1	`r`
93.3%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes252.0ms (1.9%)

Memory

-7.4MiB live, 182.3MiB allocated

Counts

178 → 2

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (/.f32 #s(literal 1/4 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) s) #s(literal 1/4 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 #s(literal 3/2 binary32) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) s))) s))
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(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (+.f32 (.f32 (/.f32 r s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) s (.f32 s (.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 r s)))) (.f32 s s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 #s(literal 1 binary32) (.f32 (fma.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s)) r) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 r (.f32 (fma.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) s) (.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (/.f32 r s) s))) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) s) (.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (/.f32 r s) s))) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 r s) (.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 r (.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 (.f32 #s(literal -1/6 binary32) r) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s)) (.f32 r #s(literal 1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 (fma.f32 (.f32 (fma.f32 (/.f32 r s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 r s)) (neg.f32 s) (.f32 s #s(literal 1 binary32))) (.f32 s (neg.f32 s))) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 r #s(literal 3 binary32))))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (/.f32 r s) (/.f32 (/.f32 r s) s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s))) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32)) (/.f32 r s) (fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s))) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (.f32 (/.f32 r s) #s(literal -1/6 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 r s) s) (/.f32 #s(literal -1 binary32) s))) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Outputs

(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (*.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))

#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) (-.f32 (/.f32 (/.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) s) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) s))

Calls

3 calls:

108.0ms

53.0ms

44.0ms

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Results

Accuracy	Segments	Branch
88.4%	1	`s`
88.4%	1	`r`
93.9%	2	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes160.0ms (1.2%)

Memory

24.5MiB live, 143.5MiB allocated

Counts

134 → 2

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (/.f32 #s(literal 1/4 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) s) #s(literal 1/4 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 #s(literal 3/2 binary32) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (.f32 r #s(literal 1 binary32))) (.f32 r (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) r) #s(literal 1 binary32))) (.f32 (.f32 (neg.f32 (PI.f32)) r) (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(approx (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) (.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) r) #s(literal 4 binary32)) (.f32 (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (.f32 (.f32 (PI.f32) r) #s(literal 4 binary32)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) r) #s(literal 4 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (PI.f32) r) #s(literal 4 binary32)) (/.f32 s (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) r) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (.f32 (/.f32 s (PI.f32)) r) #s(literal -1/6 binary32) (.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal 5/72 binary32))) (pow.f32 s #s(literal 3 binary32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (pow.f32 s #s(literal -1 binary32)) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(approx (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (.f32 (/.f32 s (PI.f32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (pow.f32 (.f32 s s) #s(literal -1/2 binary32)) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Outputs

#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(approx (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))

#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) (-.f32 (/.f32 (/.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) s) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) s))

Calls

3 calls:

60.0ms

47.0ms

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

45.0ms

Results

Accuracy	Segments	Branch
9.6%	1	`r`
12.9%	2	`s`
13.1%	2	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes145.0ms (1.1%)

Memory

-29.9MiB live, 146.8MiB allocated

Counts

131 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (/.f32 #s(literal 1/4 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) s) #s(literal 1/4 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 #s(literal 3/2 binary32) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) s) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) #s(literal 1 binary32)) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
(fma.f32 #s(approx (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (*.f32 s s) (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) r) s)) r)) s))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) r) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (.f32 (/.f32 s (PI.f32)) r) #s(literal -1/6 binary32) (.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal 5/72 binary32))) (pow.f32 s #s(literal 3 binary32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (pow.f32 s #s(literal -1 binary32)) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))

Outputs

#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) (-.f32 (/.f32 (/.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) s) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) s))

Calls

3 calls:

47.0ms

45.0ms

41.0ms

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Results

Accuracy	Segments	Branch
9.6%	1	`r`
9.6%	1	`s`
9.6%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes110.0ms (0.8%)

Memory

-10.9MiB live, 109.8MiB allocated

Counts

94 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (/.f32 #s(literal 1/4 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) s) #s(literal 1/4 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 #s(literal 3/2 binary32) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) s) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) #s(literal 1 binary32)) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
(fma.f32 #s(approx (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (*.f32 s s) (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) r) s)) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (.f32 (PI.f32) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s #s(literal 1/4 binary32))) (.f32 s (.f32 (*.f32 s r) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (PI.f32)) r)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (PI.f32)) r)) (/.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (neg.f32 (/.f32 #s(literal -1 binary32) s)) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (neg.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 s)) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal -1/6 binary32) s) (.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) (PI.f32))) (.f32 (PI.f32) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/12 binary32) s) (/.f32 r s) (/.f32 #s(literal -1 binary32) s)) r #s(literal 3/2 binary32)) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 (PI.f32) r) (.f32 s #s(literal 1/4 binary32))) (.f32 (.f32 s r) (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 #s(literal -1/6 binary32) s (.f32 (PI.f32) (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)))) (.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) (PI.f32) (.f32 s #s(literal -1/6 binary32))) (.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 s (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (.f32 s s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) r (.f32 s (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (.f32 s r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (.f32 (/.f32 s (PI.f32)) #s(literal -1/6 binary32))) s)) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1 binary32) (PI.f32)) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) #s(literal 1 binary32)))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 #s(literal 1 binary32) (PI.f32))) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (.f32 (PI.f32) #s(literal 1 binary32))) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 r (PI.f32)) (.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) (/.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r) (/.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 s))) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))) (.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) s (.f32 (.f32 (neg.f32 (PI.f32)) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))))) (.f32 (.f32 (neg.f32 (PI.f32)) r) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 (neg.f32 (PI.f32)) r) (.f32 s #s(literal -1/4 binary32))) (.f32 (.f32 (neg.f32 s) r) (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 #s(literal 1/6 binary32) s (.f32 (neg.f32 (PI.f32)) (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)))) (.f32 (neg.f32 (PI.f32)) s)) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (fma.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) (neg.f32 (PI.f32)) (.f32 s #s(literal 1/6 binary32))) (.f32 (neg.f32 (PI.f32)) s)) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) s)) r) (/.f32 #s(literal 5/72 binary32) (.f32 (.f32 s s) (PI.f32)))) r)) s))

Outputs

#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))

Calls

3 calls:

51.0ms

30.0ms

24.0ms

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Results

Accuracy	Segments	Branch
9.6%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
9.6%	1	`s`
9.6%	1	`r`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes41.0ms (0.3%)

Memory

8.0MiB live, 46.1MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (/.f32 #s(literal 1/4 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) s) #s(literal 1/4 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 #s(literal 3/2 binary32) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) s) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) #s(literal 1 binary32)) (.f32 (*.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (+ (* 5/72 (/ (/ r (PI)) s)) (/ -1/6 (PI))) (.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal 5/72 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
(fma.f32 #s(approx (/ (cbrt (exp (/ (neg r) s))) (* 6 (PI))) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (.f32 s r)) (.f32 (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) r) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (*.f32 s s) (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) r) s)) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (.f32 (PI.f32) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s #s(literal 1/4 binary32))) (.f32 s (.f32 (*.f32 s r) (PI.f32)))))

Outputs

#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))

Calls

3 calls:

16.0ms

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

11.0ms

Results

Accuracy	Segments	Branch
8.8%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
8.8%	1	`s`
8.8%	1	`r`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes24.0ms (0.2%)

Memory

-7.1MiB live, 31.1MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (/.f32 #s(literal 1/4 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) r) s) #s(literal 1/4 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r))
(.f32 #s(approx (+ ( (* (exp (/ (neg r) s)) (/ (/ 1/8 s) (PI))) (* (* (* 6 (PI)) s) r)) (* r (/ 3/4 (cbrt (exp (/ r s)))))) (.f32 #s(literal 3/2 binary32) r)) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (PI.f32)))) r))

Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))

Calls

3 calls:

10.0ms

7.0ms

6.0ms

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Results

Accuracy	Segments	Branch
8.8%	1	`s`
8.8%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
8.8%	1	`r`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes9.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))

Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))

Calls

3 calls:

3.0ms

2.0ms

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Results

Accuracy	Segments	Branch
8.8%	1	`s`
8.8%	1	`r`
8.8%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes7.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (/ (- (/ -1/6 (PI)) (/ (* -5/72 (/ r (PI))) s)) s) (/ 1/4 (* (PI) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))

Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))

Calls

3 calls:

2.0ms

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Results

Accuracy	Segments	Branch
8.8%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
8.8%	1	`s`
8.8%	1	`r`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))

Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))

Calls

3 calls:

1.0ms

(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

1.0ms

Results

Accuracy	Segments	Branch
8.8%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
8.8%	1	`s`
8.8%	1	`r`

Compiler

Compiled 35 to 29 computations (17.1% saved)

bsearch2.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5373044110210685e-8	1.5644498319034028e-7

Compiler

Compiled 36 to 30 computations (16.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.7421700867232545e-16

Compiler

Compiled 36 to 30 computations (16.7% saved)

simplify161.0ms (1.2%)

Memory

-18.1MiB live, 63.4MiB allocated

Algorithm

1×	egg-herbie

Rules

810×	`distribute-lft-neg-in-binary32-*.f32-neg.f32`
540×	`cancel-sign-sub-binary32-+.f32-neg.f32-*.f32--.f32`
532×	`neg-mul-1-binary32-*.f32-neg.f32`
424×	`neg-sub0-binary32--.f32-neg.f32`
318×	`sub-neg-binary32-neg.f32-+.f32--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	704
1	184	704
2	213	704
3	266	704
4	325	704
5	377	704
6	534	704
7	905	704
8	1348	704
9	1764	704
10	2135	704
11	2410	704
12	2545	704
13	2650	704
14	2665	704
15	2684	704

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (.f32 (PI.f32) r)) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
(if (<=.f32 (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #s(literal 14073749/281474976710656 binary32)) (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32))) #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) (-.f32 (/.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) s) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s)))
(if (<=.f32 (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #s(literal 0 binary32)) #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(approx (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (.f32 (/.f32 s (PI.f32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r)) #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) (-.f32 (/.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) s) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) (-.f32 (/.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) s) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))

Outputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 s r)))))
(+.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s))) #s(literal 3/4 binary32)) (.f32 (.f32 (.f32 s r) (PI.f32)) #s(literal 6 binary32))) (/.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)) (.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 (exp.f32 (.f32 (/.f32 #s(literal -1/3 binary32) s) r)) #s(literal 3/4 binary32)) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (/.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)) (.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)))
(fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (.f32 (PI.f32) r)) (.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32)))
(if (<=.f32 (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #s(literal 14073749/281474976710656 binary32)) (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32))) #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) (-.f32 (/.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) s) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s)))
(if (<=.f32 (+.f32 (/.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))) #s(literal 3/4 binary32)) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (/.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r))) #s(literal 14073749/281474976710656 binary32)) (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s))) (.f32 (.f32 s r) (PI.f32))) #s(literal 1/8 binary32))) #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) (-.f32 (/.f32 (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s)))
(if (<=.f32 (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #s(literal 0 binary32)) #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(approx (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (.f32 (/.f32 s (PI.f32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r)) #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) (-.f32 (/.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) s) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s)))
(if (<=.f32 (+.f32 (/.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))) #s(literal 3/4 binary32)) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (/.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r))) #s(literal 0 binary32)) #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(approx (+ (* (/ 5/72 (* (pow s 3) (PI))) r) (/ (/ (/ -1/6 (PI)) s) s)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (.f32 (/.f32 s (PI.f32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32)))) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r)) #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) (-.f32 (/.f32 (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) (-.f32 (/.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) s) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s) (-.f32 (/.f32 (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))

soundness1.6s (12%)

Memory

21.8MiB live, 1 398.6MiB allocated

Rules

31 230×	`lower-fma.f64`
31 230×	`lower-fma.f32`
15 186×	`lower-fma.f64`
15 186×	`lower-fma.f32`
14 448×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	5644
1	1145	5258
2	3592	5073
0	8342	4968
0	82	410
0	137	410
1	506	388
2	4765	388
0	8239	384
0	421	7287
1	1238	6835
2	3748	6694
0	8165	6512
0	91	450
0	153	449
1	558	429
2	5920	429
0	8071	420
0	25	67
0	43	67
1	142	61
2	1312	55
0	9456	55
0	178	1390
1	496	1337
2	1357	1298
3	3808	1258
0	8094	1235
0	73	303
0	120	286
1	398	267
2	3381	267
0	9073	261

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

Compiler

Compiled 901 to 514 computations (43% saved)

preprocess104.0ms (0.8%)

Memory: 22.7MiB live, 138.6MiB allocated
Compiler: Compiled 760 to 270 computations (64.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze66.0ms (0.5%)

sample2.2s (16.4%)

explain398.0ms (3%)

preprocess233.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify197.0ms (1.5%)

localize87.0ms (0.7%)

series36.0ms (0.3%)

simplify269.0ms (2%)

rewrite177.0ms (1.3%)

eval258.0ms (1.9%)

prune329.0ms (2.5%)

simplify228.0ms (1.7%)

localize179.0ms (1.3%)

series113.0ms (0.9%)

simplify213.0ms (1.6%)

rewrite392.0ms (2.9%)

eval277.0ms (2.1%)

prune288.0ms (2.2%)

simplify183.0ms (1.4%)

localize370.0ms (2.8%)

series126.0ms (0.9%)

simplify350.0ms (2.6%)

rewrite311.0ms (2.3%)

eval437.0ms (3.3%)

prune593.0ms (4.4%)

simplify224.0ms (1.7%)

localize425.0ms (3.2%)

series99.0ms (0.7%)

simplify211.0ms (1.6%)

rewrite186.0ms (1.4%)

eval246.0ms (1.8%)

prune281.0ms (2.1%)

regimes212.0ms (1.6%)

regimes259.0ms (1.9%)

regimes268.0ms (2%)

regimes252.0ms (1.9%)

regimes160.0ms (1.2%)

regimes145.0ms (1.1%)

regimes110.0ms (0.8%)

regimes41.0ms (0.3%)

regimes24.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

simplify161.0ms (1.2%)

soundness1.6s (12%)

preprocess104.0ms (0.8%)

end0.0ms (0%)

Profiling