Metrics for Disney BSSRDF, PDF of scattering profile

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze69.0ms (0.4%)

Memory

-4.4MiB live, 109.4MiB 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)

sample2.7s (17.2%)

Memory

-122.4MiB live, 3 179.4MiB allocated

Samples

2.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-mult: 486.0ms (27.8% of total)

ival-neg: 324.0ms (18.5% of total)

ival-div: 305.0ms (17.5% of total)

ival-<=: 193.0ms (11% of total)

const: 136.0ms (7.8% of total)

ival-exp: 127.0ms (7.3% of total)

ival-<: 57.0ms (3.3% of total)

ival-add: 35.0ms (2% of total)

exact: 29.0ms (1.7% of total)

ival-pi: 28.0ms (1.6% of total)

ival-and: 24.0ms (1.4% of total)

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

Bogosity

explain405.0ms (2.6%)

Memory

-5.9MiB live, 357.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
2	0	-	2	(8.000012712727766e-6 0.002286891918629408)	`(/.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	-	`(.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	-	`(neg.f32 r)`
0	0	-	0	-	`s`
0	0	-	0	-	`(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))`
0	2	(6.79490312904818e-7 0.0013953081797808409)	0	-	`(exp.f32 (/.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	7	(6.615952968597412 1749.652099609375)	0	-	`(exp.f32 (/.f32 (neg.f32 r) s))`
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))`
0	0	-	0	-	`(/.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))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) s))`	sensitivity	7	2
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`	sensitivity	2	6

Confusion

	Predicted +	Predicted -
+	2	1
-	6	247

Precision

0.25

Recall

0.6666666666666666

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	1	0
-	6	1	246

Precision?

0.3

Recall?

1.0

Freqs

test

number	freq
0	248
1	7
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

109.0ms

512×

valid

Compiler

Compiled 331 to 79 computations (76.1% saved)

Precisions

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

ival-mult: 45.0ms (51.1% of total)

ival-div: 27.0ms (30.7% of total)

ival-exp: 8.0ms (9.1% of total)

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

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

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

exact: 1.0ms (1.1% of total)

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

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

preprocess404.0ms (2.5%)

Memory

14.6MiB live, 251.1MiB 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 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))))

Compiler

Compiled 35 to 25 computations (28.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Status

Accuracy

Program

▶

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 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify279.0ms (1.8%)

Memory

22.4MiB live, 210.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	64	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
cost-diff	160	(/.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	224	(/.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))
cost-diff	768	(+.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 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) 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 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (*.f32 s (PI.f32)))))
(*.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 r (.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 s (.f32 #s(literal 2 binary32) (PI.f32)))
(*.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 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))
(.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 #s(literal 3 binary32) s)
(*.f32 s #s(literal 3 binary32))
#s(literal 3 binary32)
(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))))
(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)
(.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 #s(literal 6 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 6 binary32))
#s(literal 6 binary32)

localize126.0ms (0.8%)

Memory

-58.3MiB live, 94.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.26953125	(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy	0.2734375	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy	0.28515625	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy	0.33984375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)

Samples

71.0ms

256×

valid

Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-add: 26.0ms (42.9% of total)

ival-mult: 22.0ms (36.3% of total)

ival-div: 7.0ms (11.6% of total)

ival-exp: 4.0ms (6.6% of total)

ival-pi: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series28.0ms (0.2%)

Memory

24.7MiB live, 24.7MiB allocated

Counts

7 → 156

Calls

Call 1

Inputs
#<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)))>
#<alt (/.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))>
#<alt (/.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))>
#<alt (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))>
#<alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)>
#<alt (.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)>
#<alt (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)>

Outputs
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -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)>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/24 (* s (PI)))) s)>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -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))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* 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)>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 4) (PI)))) (* 1/16 (/ 1 (* (pow s 3) (PI)))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	r	@	inf	((+ (/ (* 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))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (neg r) (* 3 s)) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r))
4.0ms	s	@	inf	((+ (/ (* 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))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (neg r) (* 3 s)) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r))
4.0ms	s	@	-inf	((+ (/ (* 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))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (neg r) (* 3 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))) (/ (* 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)) (* (* 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))) (/ (* 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)) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r))

simplify309.0ms (1.9%)

Memory

5.8MiB live, 425.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 624×	`lower-fma.f64`
14 624×	`lower-fma.f32`
5 362×	`lower-*.f64`
5 362×	`lower-*.f32`
2 476×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	1900
1	756	1845
2	2113	1788
3	5953	1788
0	8228	1755

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)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ 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)
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/ (- (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/24 (* s (PI)))) s)
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ 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))
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ 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)
(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 4) (PI)))) (* 1/16 (/ 1 (* (pow s 3) (PI)))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* -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))))
(* 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)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* 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))))
(* 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))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* 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))))
(* 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 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (PI.f32)))) (/.f32 #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 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* 2 (* r (* s (PI))))
(.f32 r (.f32 (PI.f32) (*.f32 s #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 (PI.f32) (*.f32 s #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 (PI.f32) (*.f32 s #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 (PI.f32) (*.f32 s #s(literal 2 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* 2 (* r (* s (PI))))
(.f32 r (.f32 (PI.f32) (*.f32 s #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 (PI.f32) (*.f32 s #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 (PI.f32) (*.f32 s #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 (PI.f32) (*.f32 s #s(literal 2 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))

rewrite367.0ms (2.3%)

Memory

5.0MiB live, 449.5MiB 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	90
0	43	90
1	142	79
2	1312	71
0	9456	71

Stop Event

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

Counts

7 → 546

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 (.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))
(.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
(neg.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (neg.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) (.f32 (neg.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))))))
(neg.f32 (fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (neg.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) (neg.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))))
(neg.f32 (/.f32 (fma.f32 r (.f32 (.f32 s (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))) (.f32 (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r)) (.f32 (.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(literal 3 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(literal 3 binary32))) (neg.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (pow.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32))))))
(neg.f32 (/.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(literal 2 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(literal 2 binary32))) (/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (neg.f32 r))))
(neg.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 (.f32 r s) (.f32 (PI.f32) #s(literal -6 binary32))) (.f32 (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r)) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)))) (.f32 (.f32 s (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 r (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(literal 3 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(literal 3 binary32)))) (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (pow.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (+.f32 (neg.f32 (pow.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(literal 2 binary32))) (pow.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(literal 2 binary32))) (/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) r)))
(+.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (pow.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(literal 2 binary32)) (/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) r)) (neg.f32 (/.f32 (pow.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(literal 2 binary32)) (/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r))))
(pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(fma.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(fma.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (neg.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (neg.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 r s)))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
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(.f32 #s(literal 1 binary32) (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r)))
(.f32 #s(literal -1 binary32) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal -2 binary32))))
(.f32 (.f32 r s) (*.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)) (neg.f32 r))
(.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 (neg.f32 r) s))
(.f32 (.f32 r #s(literal 2 binary32)) (*.f32 s (PI.f32)))
(.f32 (.f32 r (*.f32 #s(literal 2 binary32) (PI.f32))) s)
(.f32 (neg.f32 (.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))) r)
(.f32 (neg.f32 (.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 r s))
(neg.f32 (.f32 (.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))
(-.f32 #s(literal 0 binary32) (.f32 (.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))
(/.f32 (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))))
(/.f32 (.f32 (.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) #s(literal -1 binary32))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(.f32 r (neg.f32 (.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
(.f32 (neg.f32 r) (.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))
(.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))
(.f32 (PI.f32) (.f32 #s(literal 6 binary32) (*.f32 r s)))
(.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 r s)))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 s (PI.f32)) r))
(.f32 (.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 r s))
(.f32 (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))) r)
(.f32 (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))))
(.f32 #s(literal -1 binary32) (.f32 (.f32 r s) (.f32 (PI.f32) #s(literal -6 binary32))))
(.f32 (.f32 r s) (*.f32 (PI.f32) #s(literal 6 binary32)))
(.f32 (.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))) (neg.f32 r))
(.f32 (.f32 (PI.f32) #s(literal -6 binary32)) (*.f32 (neg.f32 r) s))
(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))
(.f32 (.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) s)
(.f32 (neg.f32 (.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) r)
(.f32 (neg.f32 (.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 r s))

eval73.0ms (0.5%)

Memory: -7.7MiB live, 144.9MiB allocated
Compiler: Compiled 26 889 to 1 722 computations (93.6% saved)

prune135.0ms (0.9%)

Memory

8.1MiB live, 296.9MiB allocated

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	675	27	702
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	676	27	703

Accuracy

99.6%

Counts

703 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
▶	98.5%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	98.5%	(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
▶	99.3%	(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
	99.3%	(/.f32 (/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) r) r)
	98.9%	(/.f32 (/.f32 (fma.f32 r (.f32 (.f32 s (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))) (.f32 (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r)) (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 r s))
	99.2%	(+.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 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r #s(literal 6 binary32))) (.f32 s (PI.f32))))
	99.2%	(+.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 #s(literal -1/3 binary32) (/.f32 r s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	99.0%	(+.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)) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))))
	10.8%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
	9.5%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
	9.3%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/1296 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
▶	10.7%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
▶	9.4%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	9.5%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
	10.8%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
	99.3%	(.f32 (/.f32 #s(literal 1 binary32) r) (fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))))
	99.3%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	7.7%	#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 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
	10.1%	#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 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
	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 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
	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 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (.f32 r (.f32 r #s(literal -7/324 binary32))) (.f32 s (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
▶	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	10.1%	#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 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))))
	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 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
	99.2%	#s(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 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r)))
	99.3%	#s(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 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))

Compiler

Compiled 1 748 to 1 112 computations (36.4% saved)

simplify391.0ms (2.5%)

Memory

11.9MiB live, 360.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (PI.f32) (.f32 r s))
cost-diff	0	(/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))
cost-diff	64	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
cost-diff	864	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
cost-diff	0	(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff	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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
cost-diff	224	(/.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))
cost-diff	320	(fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (*.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32))))
cost-diff	0	(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff	0	(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff	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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
cost-diff	224	(/.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))
cost-diff	0	(*.f32 s (PI.f32))
cost-diff	0	(.f32 r (.f32 s (PI.f32)))
cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (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 r (.f32 s (PI.f32)))))
cost-diff	0	(.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
cost-diff	64	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))
cost-diff	320	(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
cost-diff	704	(fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))))

Rules

16 508×	`lower-fma.f64`
16 502×	`lower-fma.f32`
4 360×	`lower-*.f64`
4 324×	`lower-*.f32`
2 562×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	762
0	132	768
1	251	734
2	623	689
3	2037	668
4	4321	666
5	5025	666
6	5816	666
7	6705	666
8	7036	666
9	7737	666
0	8124	659

Stop Event

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

Calls

Call 1

Inputs
(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))))
(.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
r
(*.f32 s #s(literal -3 binary32))
s
#s(literal -3 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
(PI.f32)
(.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(*.f32 r 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 r (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(.f32 r (.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (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 #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)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(.f32 r (.f32 s (PI.f32)))
(*.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (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)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 r (PI.f32))
(+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s))
(fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (*.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32))))
#s(literal -1/1296 binary32)
(/.f32 (.f32 r r) (.f32 s (PI.f32)))
(*.f32 r r)
(*.f32 s (PI.f32))
(*.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))
(/.f32 #s(literal 1/144 binary32) (PI.f32))
#s(literal 1/144 binary32)
(*.f32 s s)
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
#s(literal -1/24 binary32)
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))
#s(literal 1/6 binary32)
(.f32 (PI.f32) (.f32 r s))
(PI.f32)
(*.f32 r s)
r
s
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 s #s(literal -3 binary32))
#s(literal -3 binary32)
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))
#s(literal 1/8 binary32)

Outputs
(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
(fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))))
(.f32 r (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 (neg.f32 r) s)))))
(.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
r
(*.f32 s #s(literal -3 binary32))
s
#s(literal -3 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
(PI.f32)
(.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
(.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))))
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s (PI.f32)) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
(neg.f32 s)
(*.f32 r 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 r (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(.f32 r (.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (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 #s(literal 1/8 binary32) (.f32 (.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32))
#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 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(.f32 r (.f32 s (PI.f32)))
(*.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (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 1/8 binary32) (.f32 (.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32))
#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 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))
(+.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 r (PI.f32))
(+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(+.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s))
(/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (.f32 s s))
(fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (*.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32))))
(*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32)))
#s(literal -1/1296 binary32)
(/.f32 (.f32 r r) (.f32 s (PI.f32)))
(*.f32 r r)
(*.f32 s (PI.f32))
(*.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))
(/.f32 #s(literal 1/144 binary32) (PI.f32))
#s(literal 1/144 binary32)
(*.f32 s s)
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
#s(literal -1/24 binary32)
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (+.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))
(/.f32 #s(literal 1/6 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1/6 binary32)
(.f32 (PI.f32) (.f32 r s))
(.f32 r (.f32 s (PI.f32)))
(PI.f32)
(*.f32 r s)
r
s
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))
(.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 3/4 binary32))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 s #s(literal -3 binary32))
#s(literal -3 binary32)
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1/8 binary32)

localize294.0ms (1.9%)

Memory

-4.3MiB live, 403.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.28515625	(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy	0.3046875	(/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))
accuracy	0.3809295136225671	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
accuracy	0.39681625976844204	(.f32 (PI.f32) (.f32 r s))
accuracy	0.36556625976844204	(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
accuracy	0.37109375	(/.f32 (.f32 r r) (.f32 s (PI.f32)))
accuracy	0.6714036304117835	(fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (*.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32))))
accuracy	28.58424782294856	#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
accuracy	0.2734375	(.f32 r (.f32 s (PI.f32)))
accuracy	0.33984375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy	0.33984375	(*.f32 s (PI.f32))
accuracy	29.04582324787934	#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
accuracy	0.23046875	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
accuracy	0.2734375	(.f32 r (.f32 s (PI.f32)))
accuracy	0.33984375	(*.f32 s (PI.f32))
accuracy	29.142326002615075	#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 r (.f32 s (PI.f32)))))
accuracy	0.13160539102300295	(.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
accuracy	0.25390625	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
accuracy	0.28515625	(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy	0.33984375	(*.f32 s (PI.f32))

Samples

131.0ms

256×

valid

Compiler

Compiled 682 to 72 computations (89.4% saved)

Precisions

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

ival-mult: 36.0ms (36.5% of total)

ival-div: 33.0ms (33.5% of total)

const: 11.0ms (11.2% of total)

ival-exp: 7.0ms (7.1% of total)

ival-add: 6.0ms (6.1% of total)

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

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

exact: 1.0ms (1% of total)

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

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

series61.0ms (0.4%)

Memory

-11.4MiB live, 95.7MiB allocated

Counts

25 → 552

Calls

Call 1

Inputs
#<alt (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))))>
#<alt (/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))>
#<alt (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))>
#<alt (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))>
#<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 r (.f32 s (PI.f32)))))>
#<alt (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))>
#<alt (.f32 r (.f32 s (PI.f32)))>
#<alt (*.f32 s (PI.f32))>
#<alt (/.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))>
#<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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))>
#<alt (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))>
#<alt (exp.f32 (/.f32 (neg.f32 r) s))>
#<alt (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (*.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32))))>
#<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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))>
#<alt (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))>
#<alt (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))>
#<alt (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))>
#<alt (.f32 (PI.f32) (.f32 r s))>
#<alt (/.f32 r (*.f32 s #s(literal -3 binary32)))>
#<alt (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))>
#<alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))>
#<alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)>
#<alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))>
#<alt (/.f32 (.f32 r r) (.f32 s (PI.f32)))>
#<alt (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))>

Outputs
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (* 1/4 (exp (* -1 (/ r s))))>
#<alt (* 1/4 (exp (* -1 (/ r s))))>
#<alt (* 1/4 (exp (* -1 (/ r s))))>
#<alt (* 1/4 (exp (* -1 (/ r s))))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (* -1/1296 (/ (pow r 2) (* s (PI))))>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) s)>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) s)>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (/ (pow r 2) (* s (PI)))>
#<alt (/ (pow r 2) (* s (PI)))>
#<alt (/ (pow r 2) (* s (PI)))>
#<alt (/ (pow r 2) (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (* 1/4 (/ r (* s (PI))))>
#<alt (/ (+ (* -1/8 (/ (pow r 2) (* s (PI)))) (+ (* -1/24 (/ (pow r 2) (* s (PI)))) (* 1/4 (/ r (PI))))) s)>
#<alt (/ (+ (* -1/8 (/ (pow r 2) (* s (PI)))) (+ (* -1/24 (/ (pow r 2) (* s (PI)))) (+ (* 1/144 (/ (pow r 3) (* (pow s 2) (PI)))) (+ (* 1/16 (/ (pow r 3) (* (pow s 2) (PI)))) (* 1/4 (/ r (PI))))))) s)>
#<alt (/ (+ (* -1/8 (/ (pow r 2) (* s (PI)))) (+ (* -1/24 (/ (pow r 2) (* s (PI)))) (+ (* -1/48 (/ (pow r 4) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 4) (* (pow s 3) (PI)))) (+ (* 1/144 (/ (pow r 3) (* (pow s 2) (PI)))) (+ (* 1/16 (/ (pow r 3) (* (pow s 2) (PI)))) (* 1/4 (/ r (PI))))))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -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)>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ (+ (* -1/8 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)>
#<alt (/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/8 (/ 1 (PI))))) s)>
#<alt (/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/48 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/8 (/ 1 (PI)))))) s)>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ (+ (* -1/24 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)>
#<alt (/ (+ (* -1/24 (/ r (* s (PI)))) (+ (* 1/144 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/8 (/ 1 (PI))))) s)>
#<alt (/ (+ (* -1/24 (/ r (* s (PI)))) (+ (* -1/1296 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/144 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/8 (/ 1 (PI)))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -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)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -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)>
#<alt 1/4>
#<alt (+ 1/4 (* -1/4 (/ r s)))>
#<alt (+ 1/4 (+ (* -1/4 (/ r s)) (* 1/8 (/ (pow r 2) (pow s 2)))))>
#<alt (+ 1/4 (+ (* -1/4 (/ r s)) (+ (* -1/24 (/ (pow r 3) (pow s 3))) (* 1/8 (/ (pow r 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))>
#<alt (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))>
#<alt (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -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)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -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)>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/24 (* s (PI)))) s)>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
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#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (/ (pow r 2) (* s (PI)))>
#<alt (/ (pow r 2) (* s (PI)))>
#<alt (/ (pow r 2) (* s (PI)))>
#<alt (/ (pow r 2) (* s (PI)))>
#<alt (* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))>
#<alt (* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))>
#<alt (* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))>
#<alt (* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* 1/4 (exp (* -1 (/ r s))))>
#<alt (* 1/4 (exp (* -1 (/ r s))))>
#<alt (* 1/4 (exp (* -1 (/ r s))))>
#<alt (* 1/4 (exp (* -1 (/ r s))))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (* -1/1296 (/ (pow r 2) (* s (PI))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (/ 1/6 (* r (* s (PI))))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (/ (pow r 2) (* s (PI)))>
#<alt (/ (pow r 2) (* s (PI)))>
#<alt (/ (pow r 2) (* s (PI)))>
#<alt (/ (pow r 2) (* s (PI)))>

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	s	@	0	((+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))) (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* r (* s (PI)))) (* r (* s (PI))) (* s (PI)) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+ (/ (* 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)) (+ (* -1/1296 (/ (* r r) (* s (PI)))) (* r (/ 1/144 (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (* (/ 1/6 (* (PI) (* r s))) (* 3/4 (exp (/ r (* s -3))))) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s))))) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/ 1/6 (* (PI) (* r s))) (* (PI) (* r s)) (/ r (* s -3)) (/ 1/8 (* s (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (* 2 (PI)) s) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (* r r) (* s (PI))) (/ -1/24 (* s (PI))))
13.0ms	r	@	0	((+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))) (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* r (* s (PI)))) (* r (* s (PI))) (* s (PI)) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+ (/ (* 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)) (+ (* -1/1296 (/ (* r r) (* s (PI)))) (* r (/ 1/144 (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (* (/ 1/6 (* (PI) (* r s))) (* 3/4 (exp (/ r (* s -3))))) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s))))) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/ 1/6 (* (PI) (* r s))) (* (PI) (* r s)) (/ r (* s -3)) (/ 1/8 (* s (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (* 2 (PI)) s) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (* r r) (* s (PI))) (/ -1/24 (* s (PI))))
6.0ms	s	@	inf	((+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))) (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* r (* s (PI)))) (* r (* s (PI))) (* s (PI)) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+ (/ (* 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)) (+ (* -1/1296 (/ (* r r) (* s (PI)))) (* r (/ 1/144 (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (* (/ 1/6 (* (PI) (* r s))) (* 3/4 (exp (/ r (* s -3))))) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s))))) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/ 1/6 (* (PI) (* r s))) (* (PI) (* r s)) (/ r (* s -3)) (/ 1/8 (* s (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (* 2 (PI)) s) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (* r r) (* s (PI))) (/ -1/24 (* s (PI))))
6.0ms	s	@	-inf	((+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))) (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* r (* s (PI)))) (* r (* s (PI))) (* s (PI)) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+ (/ (* 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)) (+ (* -1/1296 (/ (* r r) (* s (PI)))) (* r (/ 1/144 (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (* (/ 1/6 (* (PI) (* r s))) (* 3/4 (exp (/ r (* s -3))))) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s))))) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/ 1/6 (* (PI) (* r s))) (* (PI) (* r s)) (/ r (* s -3)) (/ 1/8 (* s (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (* 2 (PI)) s) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (* r r) (* s (PI))) (/ -1/24 (* s (PI))))
5.0ms	r	@	-inf	((+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))) (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* r (* s (PI)))) (* r (* s (PI))) (* s (PI)) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+ (/ (* 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)) (+ (* -1/1296 (/ (* r r) (* s (PI)))) (* r (/ 1/144 (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (* (/ 1/6 (* (PI) (* r s))) (* 3/4 (exp (/ r (* s -3))))) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s))))) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/ 1/6 (* (PI) (* r s))) (* (PI) (* r s)) (/ r (* s -3)) (/ 1/8 (* s (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (* 2 (PI)) s) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (* r r) (* s (PI))) (/ -1/24 (* s (PI))))

simplify434.0ms (2.7%)

Memory

4.8MiB live, 755.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24 394×	`lower-fma.f64`
24 394×	`lower-fma.f32`
6 028×	`lower-*.f64`
6 028×	`lower-*.f32`
4 530×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	486	7675
1	1477	7367
2	4170	7161
0	8780	6982

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(/ (+ (* 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)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/ (+ (* 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 (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)))
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1/4
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1
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(* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
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(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
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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)
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(* 1/4 (exp (* -1 (/ r s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
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(* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* 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)
(/ (+ (* 1/8 (/ (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)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
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(* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))
(* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))
(* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* 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))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
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(* -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))
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(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* 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))
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(* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))
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(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
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(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
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(/ 1/6 (* r (* s (PI))))
(* r (* s (PI)))
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(/ (pow r 2) (* s (PI)))

Outputs
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))) s)
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))) s)
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))))) s)
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
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(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
(/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))))) (.f32 r (*.f32 r s)))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
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(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
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(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
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(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
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(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
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(* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) 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 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(* -1/1296 (/ (pow r 2) (* s (PI))))
(/.f32 (.f32 r (.f32 r #s(literal -1/1296 binary32))) (*.f32 s (PI.f32)))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))
(.f32 (.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32)))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))
(.f32 (.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32)))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))
(.f32 (.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32)))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 r (*.f32 s (PI.f32))))
(/ 1/6 (* r (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/6 (* r (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/6 (* r (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/6 (* r (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (.f32 r (.f32 s (PI.f32))))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 r (.f32 s (PI.f32))))
(/ (pow r 2) (* s (PI)))
(/.f32 (.f32 r r) (.f32 s (PI.f32)))
(/ (pow r 2) (* s (PI)))
(/.f32 (.f32 r r) (.f32 s (PI.f32)))
(/ (pow r 2) (* s (PI)))
(/.f32 (.f32 r r) (.f32 s (PI.f32)))
(/ (pow r 2) (* s (PI)))
(/.f32 (.f32 r r) (.f32 s (PI.f32)))

rewrite344.0ms (2.2%)

Memory

27.4MiB live, 471.7MiB allocated

Rules

5 590×	`lower-*.f64`
5 554×	`lower-*.f32`
5 362×	`lower-fma.f64`
5 356×	`lower-fma.f32`
2 770×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	441
0	132	445
1	486	413
2	4667	413
0	8153	405

Stop Event

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

Counts

25 → 935

Calls

Call 1

Inputs
(fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))))
(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))
(.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 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(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(.f32 r (.f32 s (PI.f32)))
(*.f32 s (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 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (*.f32 r (/.f32 #s(literal 1/144 binary32) (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))
(.f32 (PI.f32) (.f32 r s))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
(/.f32 (.f32 r r) (.f32 s (PI.f32)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))

Outputs
(+.f32 (.f32 r (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))) (.f32 r (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(+.f32 (.f32 r (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))) (.f32 r (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(pow.f32 (/.f32 (fma.f32 (.f32 r (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))) (-.f32 (.f32 r (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))) (.f32 r (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))))) (.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))) (fma.f32 (exp.f32 (.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))) (.f32 (.f32 (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))) (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))) (.f32 (exp.f32 (.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)) #s(literal 3 binary32))) (.f32 (.f32 (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))) (/.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 r (-.f32 (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))))) (-.f32 (.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))))) (.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (.f32 (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))))) #s(literal -1 binary32))
(fma.f32 r (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (.f32 r (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 r (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (.f32 r (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (.f32 r (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 r (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) r) (.f32 r (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (.f32 r (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (.f32 r (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 r (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) r (.f32 r (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) r (.f32 r (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (.f32 (.f32 r (exp.f32 (/.f32 r (neg.f32 s)))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (.f32 r (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
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(.f32 #s(literal 1/24 binary32) (/.f32 #s(literal 1 binary32) (.f32 s (neg.f32 (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) #s(literal -1/24 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (PI.f32) #s(literal -1/24 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal -1/24 binary32) s))
(*.f32 (/.f32 #s(literal -1/24 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)))

eval241.0ms (1.5%)

Memory: 11.9MiB live, 444.7MiB allocated
Compiler: Compiled 73 457 to 3 536 computations (95.2% saved)

prune337.0ms (2.1%)

Memory

-2.5MiB live, 834.9MiB allocated

Pruning

70 alts after pruning (68 fresh and 2 done)

	Pruned	Kept	Total
New	1 884	57	1 941
Fresh	11	11	22
Picked	3	2	5
Done	0	0	0
Total	1 898	70	1 968

Accuracy

99.6%

Counts

1 968 → 70

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	98.4%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	10.6%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
	9.4%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))))
	98.5%	(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	98.5%	(fma.f32 #s(literal 1/6 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 3/4 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
▶	10.6%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
✓	99.3%	(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
	99.1%	(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (.f32 (log.f32 (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
	9.5%	(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
	10.7%	(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 r (PI.f32)) (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r (.f32 r r)) (.f32 s (PI.f32))) (.f32 #s(literal 1/144 binary32) (.f32 r (/.f32 r (PI.f32))))) s)) s) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s)) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
	9.4%	(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
	98.9%	(/.f32 (/.f32 (fma.f32 r (.f32 (.f32 s (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))) (.f32 (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r)) (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 r s))
	99.2%	(/.f32 (/.f32 (.f32 r (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r) r)
	11.6%	(/.f32 (+.f32 (/.f32 (.f32 (exp.f32 (.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1/512 binary32)) (.f32 (.f32 (.f32 r r) r) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 s s) s)))) (/.f32 (.f32 (exp.f32 (.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)) #s(literal 3 binary32))) #s(literal 1/512 binary32)) (.f32 (.f32 (.f32 r r) r) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 s s) s))))) (fma.f32 (.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))) (/.f32 (-.f32 (.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 1/8 binary32)) (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s))))) (.f32 s (.f32 r (PI.f32)))) (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))) (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))))))
	9.9%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (PI.f32))) #s(literal -1/6 binary32) (fma.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32)) (.f32 (/.f32 (.f32 r (.f32 r r)) (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32)))) s)) (.f32 r r))
	8.7%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32)) (.f32 (/.f32 (.f32 r r) (.f32 s (PI.f32))) #s(literal -1/6 binary32))) s)) (.f32 r r))
	8.9%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 r #s(literal 1/4 binary32)) (.f32 s (PI.f32)))) (*.f32 r r))
	99.0%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))))) s)) (.f32 r r))
▶	99.3%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))))) (.f32 r r))
▶	8.7%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
	8.7%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
	10.7%	(+.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 r s)) (PI.f32)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	9.5%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)))
	10.8%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
	10.8%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 #s(literal 1/144 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	10.7%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (PI.f32))) #s(literal -1/1296 binary32) (/.f32 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	10.7%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))))) s)))
	10.7%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 #s(approx (+ ( -1/1296 (/ (* r r) (* s (PI)))) (* r (/ 1/144 (PI)))) (.f32 r (fma.f32 #s(literal -1/1296 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	9.4%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
	9.4%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r s) (PI.f32)))))
	9.4%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))
	9.5%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
	10.8%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
	6.1%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 (.f32 r (.f32 r r)) (.f32 s (.f32 s s))) #s(literal -1/6 binary32) (fma.f32 r (.f32 #s(literal 1/2 binary32) (/.f32 r (.f32 s s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	9.4%	(+.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 s (.f32 r (PI.f32)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.8%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	8.2%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	6.1%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.5%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 r #s(literal 1/4 binary32) (/.f32 (fma.f32 (.f32 r r) #s(literal -1/8 binary32) (.f32 #s(literal 1/24 binary32) (.f32 r (.f32 r (/.f32 r s))))) s)) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
▶	6.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.7%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	99.3%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	99.0%	(exp.f32 (.f32 (log.f32 (/.f32 (.f32 r r) (.f32 r (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))))) #s(literal -1 binary32)))
	8.6%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
	8.2%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (+.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
	10.1%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
	9.5%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal 7/324 binary32)) s)) s)) s)) s))
	99.3%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r))
	98.1%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))))) (.f32 r (*.f32 r s))))
	8.6%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
	10.1%	#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 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
	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 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (.f32 r (.f32 r #s(literal -7/324 binary32))) (.f32 s (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)))
▶	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	10.1%	#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 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
	99.3%	#s(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 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))

Compiler

Compiled 4 323 to 2 584 computations (40.2% saved)

simplify359.0ms (2.3%)

Memory

-16.2MiB live, 548.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32))))
cost-diff	0	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (*.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))))
cost-diff	320	(fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/1296 binary32))))
cost-diff	0	(/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)
cost-diff	0	#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s))
cost-diff	0	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
cost-diff	576	(+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32)))))
cost-diff	0	(fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
cost-diff	0	#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))))
cost-diff	0	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
cost-diff	320	(.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))
cost-diff	0	(*.f32 r s)
cost-diff	0	(.f32 (.f32 r s) (PI.f32))
cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (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 r s) (PI.f32))))
cost-diff	0	(*.f32 #s(literal 1/8 binary32) r)
cost-diff	0	#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))))))
cost-diff	0	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))))) (.f32 r r))
cost-diff	512	(.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32)))))

Rules

11 168×	`lower-fma.f64`
11 158×	`lower-fma.f32`
6 768×	`lower-*.f64`
6 732×	`lower-*.f32`
3 492×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	1060
0	166	1042
1	345	1007
2	882	961
3	2722	918
4	3160	918
5	3263	918
6	3874	918
7	4898	918
8	5181	918
0	8777	905

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))))) (.f32 r r))
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))))))
(.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32)))))
(*.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)
r
(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))))
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(*.f32 r #s(literal -1/3 binary32))
#s(literal -1/3 binary32)
(*.f32 r 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 r s) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
#s(literal 1/4 binary32)
(.f32 (.f32 r s) (PI.f32))
(*.f32 r s)
r
s
(PI.f32)
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))))
(.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))
r
(fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(/.f32 r (.f32 s (.f32 s (PI.f32))))
(.f32 s (.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r r)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)
(+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32)))))
(fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))
#s(literal 1/16 binary32)
(/.f32 r (.f32 s (.f32 s (PI.f32))))
r
(.f32 s (.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 r (PI.f32))
(fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))
#s(literal -1/48 binary32)
(/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s))))
(*.f32 r r)
(.f32 (PI.f32) (.f32 s (*.f32 s s)))
(.f32 s (.f32 s s))
(*.f32 s s)
(/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32)))
#s(literal -1/8 binary32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(.f32 r (.f32 s (PI.f32)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
#s(literal 1/8 binary32)
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (*.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32))))
#s(literal 1 binary32)
(.f32 s (.f32 r (PI.f32)))
s
(*.f32 r (PI.f32))
r
(PI.f32)
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s))
(/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)
(+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))
(/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s))
(fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/1296 binary32))))
(/.f32 #s(literal 1/144 binary32) (PI.f32))
#s(literal 1/144 binary32)
(.f32 r (.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/1296 binary32)))
(.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32))
(/.f32 r (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
#s(literal -1/1296 binary32)
(*.f32 s s)
(+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
#s(literal -1/24 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))

Outputs
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))))) (*.f32 r r))
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))))))
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))))
(.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32)))))
(.f32 r (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))))
(*.f32 #s(literal 1/8 binary32) r)
(*.f32 r #s(literal 1/8 binary32))
#s(literal 1/8 binary32)
r
(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))))
(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))))
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))
(/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (PI.f32)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 r #s(literal -1/3 binary32))
#s(literal -1/3 binary32)
(*.f32 r 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 r 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(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(.f32 (.f32 r s) (PI.f32))
(.f32 r (.f32 s (PI.f32)))
(*.f32 r s)
r
s
(PI.f32)
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (/.f32 r (.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/4 binary32)))) (*.f32 r r))
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))))
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (/.f32 r (.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/4 binary32))))
(.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))
(.f32 (/.f32 r (.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/4 binary32)))
r
(fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(/.f32 r (.f32 s (.f32 s (PI.f32))))
(.f32 s (.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r r)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) (+.f32 #s(literal 1/16 binary32) (/.f32 (.f32 r #s(literal -1/48 binary32)) s)) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) (+.f32 #s(literal 1/16 binary32) (/.f32 (.f32 r #s(literal -1/48 binary32)) s)) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) (+.f32 #s(literal 1/16 binary32) (/.f32 (.f32 r #s(literal -1/48 binary32)) s)) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)
(+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32)))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) (+.f32 #s(literal 1/16 binary32) (/.f32 (.f32 r #s(literal -1/48 binary32)) s)) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32)))))
(fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))
(fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))
#s(literal 1/16 binary32)
(/.f32 r (.f32 s (.f32 s (PI.f32))))
r
(.f32 s (.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 r (PI.f32))
(fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))
(fma.f32 r (/.f32 (.f32 r #s(literal -1/48 binary32)) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))
#s(literal -1/48 binary32)
(/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s))))
(*.f32 r r)
(.f32 (PI.f32) (.f32 s (*.f32 s s)))
(.f32 s (.f32 s s))
(*.f32 s s)
(/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32)))
#s(literal -1/8 binary32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(.f32 r (.f32 s (PI.f32)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
#s(literal 1/8 binary32)
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (*.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))))
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 s (PI.f32))))
(/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32))))
(/.f32 #s(literal 1 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1 binary32)
(.f32 s (.f32 r (PI.f32)))
(.f32 r (.f32 s (PI.f32)))
s
(*.f32 r (PI.f32))
r
(PI.f32)
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)
(+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))
(+.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))
(/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s))
(/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (.f32 s s))
(fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/1296 binary32))))
(*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32)))
(/.f32 #s(literal 1/144 binary32) (PI.f32))
#s(literal 1/144 binary32)
(.f32 r (.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/1296 binary32)))
(/.f32 (.f32 (.f32 r r) #s(literal -1/1296 binary32)) (*.f32 s (PI.f32)))
(.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32))
(/.f32 (.f32 r #s(literal -1/1296 binary32)) (.f32 s (PI.f32)))
(/.f32 r (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
#s(literal -1/1296 binary32)
(*.f32 s s)
(+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
#s(literal -1/24 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))

localize301.0ms (1.9%)

Memory

12.7MiB live, 768.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.33984375	(*.f32 s (PI.f32))
accuracy	0.36556625976844204	(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
accuracy	0.8031650719541897	(.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32))
accuracy	28.58424782294856	#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s))
accuracy	0.43569479025633806	(/.f32 r (.f32 s (.f32 s (PI.f32))))
accuracy	13.479363321021172	(+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32)))))
accuracy	28.942654120288466	#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s))
accuracy	29.04582324787934	#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
accuracy	0.43569479025633806	(/.f32 r (.f32 s (.f32 s (PI.f32))))
accuracy	0.507769122395459	(fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
accuracy	0.5564404837811779	(.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))
accuracy	29.213630374532986	#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))))
accuracy	0	(PI.f32)
accuracy	0.23046875	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
accuracy	0.39681625976844204	(.f32 (.f32 r s) (PI.f32))
accuracy	29.142326002615075	#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 r s) (PI.f32))))
accuracy	0.12378798843243409	(/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))
accuracy	0.2265625	(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
accuracy	0.3125	(*.f32 r #s(literal -1/3 binary32))
accuracy	0.33984375	(*.f32 s (PI.f32))

Samples

173.0ms

256×

valid

Compiler

Compiled 829 to 101 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 51.0ms (35.9% of total)

ival-div: 46.0ms (32.4% of total)

const: 17.0ms (12% of total)

ival-exp: 12.0ms (8.5% of total)

ival-add: 11.0ms (7.8% of total)

ival-neg: 2.0ms (1.4% of total)

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

exact: 1.0ms (0.7% of total)

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

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

series60.0ms (0.4%)

Memory

0.6MiB live, 161.0MiB allocated

Counts

30 → 648

Calls

Call 1

Inputs
#<alt (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32)))))>
#<alt (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))))) (.f32 r r))>
#<alt #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))))))>
#<alt (*.f32 #s(literal 1/8 binary32) r)>
#<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 r s) (PI.f32))))>
#<alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))>
#<alt (.f32 (.f32 r s) (PI.f32))>
#<alt (*.f32 r s)>
#<alt (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))>
#<alt (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))>
#<alt #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))))>
#<alt (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))>
#<alt (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32)))))>
#<alt (+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))>
#<alt #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s))>
#<alt (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)>
#<alt (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/1296 binary32))))>
#<alt (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (*.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))))>
#<alt (fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))>
#<alt (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32))))>
#<alt (*.f32 s (PI.f32))>
#<alt (*.f32 r #s(literal -1/3 binary32))>
#<alt (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)>
#<alt (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))>
#<alt (PI.f32)>
#<alt (/.f32 r (.f32 s (.f32 s (PI.f32))))>
#<alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))>
#<alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s))>
#<alt (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32))>
#<alt (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))>

Outputs
#<alt (* 1/8 (/ (* r (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI)))) s))>
#<alt (* 1/8 (/ (* r (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI)))) s))>
#<alt (* 1/8 (/ (* r (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI)))) s))>
#<alt (* 1/8 (/ (* r (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI)))) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* -1/6 (/ (pow r 2) (* (pow s 2) (PI))))>
#<alt (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* 1/4 (/ (* r s) (PI)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* 1/4 (/ (* r s) (PI)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* 1/4 (/ (* r s) (PI)))) (pow s 2))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (* -1/6 (/ r (* (pow s 2) (PI))))>
#<alt (/ (+ (* -1/6 (/ r (PI))) (* 1/4 (/ s (PI)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ r (PI))) (* 1/4 (/ s (PI)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ r (PI))) (* 1/4 (/ s (PI)))) (pow s 2))>
#<alt (* -1/48 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* 1/16 (/ (* r s) (PI)))) (pow s 3))>
#<alt (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* s (+ (* -1/8 (/ s (PI))) (* 1/16 (/ r (PI)))))) (pow s 3))>
#<alt (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* s (+ (* 1/16 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/8 (/ 1 (PI)))))))) (pow s 3))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* -1/48 (/ (pow r 2) (* (pow s 4) (PI))))>
#<alt (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* 1/16 (/ (* r s) (PI)))) (pow s 4))>
#<alt (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* s (+ (* -1/8 (/ s (PI))) (* 1/16 (/ r (PI)))))) (pow s 4))>
#<alt (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* s (+ (* 1/16 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/8 (/ 1 (PI)))))))) (pow s 4))>
#<alt (* -1/1296 (/ (pow r 2) (* s (PI))))>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) s)>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) s)>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) s)>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ 1 (* r (* s (PI))))>
#<alt (/ 1 (* r (* s (PI))))>
#<alt (/ 1 (* r (* s (PI))))>
#<alt (/ 1 (* r (* s (PI))))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (/ (exp (* -1/3 (/ r s))) (* s (PI)))>
#<alt (/ (exp (* -1/3 (/ r s))) (* s (PI)))>
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#<alt (* 1/8 r)>
#<alt (* 1/8 r)>
#<alt (* 1/8 r)>
#<alt (* 1/8 r)>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* -1/6 (/ (pow r 2) (* (pow s 2) (PI))))>
#<alt (* (pow r 2) (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))))>
#<alt (* (pow r 2) (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))))>
#<alt (* (pow r 2) (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))>
#<alt (* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))>
#<alt (* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))>
#<alt (* -1 (* r (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI)))))))>
#<alt (* -1/6 (/ r (* (pow s 2) (PI))))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (* s (PI))))))))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (* s (PI))))))))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (* s (PI))))))))>
#<alt (* -1/48 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* (pow r 2) (- (* 1/16 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/48 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/16 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)) (* 1/16 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* -1/48 (/ (pow r 2) (* (pow s 4) (PI))))>
#<alt (* (pow r 2) (- (* 1/16 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/48 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/16 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/16 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* -1/1296 (/ (pow r 2) (* s (PI))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (/ 1 (* r (* s (PI))))>
#<alt (/ 1 (* r (* s (PI))))>
#<alt (/ 1 (* r (* s (PI))))>
#<alt (/ 1 (* r (* s (PI))))>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (/ (exp (* -1/3 (/ r s))) (* s (PI)))>
#<alt (/ (exp (* -1/3 (/ r s))) (* s (PI)))>
#<alt (/ (exp (* -1/3 (/ r s))) (* s (PI)))>
#<alt (/ (exp (* -1/3 (/ r s))) (* s (PI)))>
#<alt (/ r (* (pow s 2) (PI)))>
#<alt (/ r (* (pow s 2) (PI)))>
#<alt (/ r (* (pow s 2) (PI)))>
#<alt (/ r (* (pow s 2) (PI)))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* -1/1296 (/ r (* s (PI))))>
#<alt (* -1/1296 (/ r (* s (PI))))>
#<alt (* -1/1296 (/ r (* s (PI))))>
#<alt (* -1/1296 (/ r (* s (PI))))>

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	r	@	inf	((* (* 1/8 r) (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (/ (* r -1/3) s)) (* s (PI))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* 1/8 r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r s) (PI))) (* (* r s) (PI)) (* r s) (* r (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (+ (+ (* 1/16 (/ r (* s (* s (PI))))) (/ 1/8 (* r (PI)))) (+ (* -1/48 (/ (* r r) (* (PI) (* s (* s s))))) (/ -1/8 (* s (PI))))) (+ (/ (* 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))) (* (* (* 2 (PI)) s) r)) (/ (+ (+ (* 1/16 (/ r (* s (* s (PI))))) (/ 1/8 (* r (PI)))) (+ (* -1/48 (/ (* r r) (* (PI) (* s (* s s))))) (/ -1/8 (* s (PI))))) s) (+ (* r (/ 1/144 (PI))) (* r (* (/ r (* s (PI))) -1/1296))) (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s)))) (+ (* 1/8 (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s))))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1 (* s (* r (PI)))) (* s (PI)) (* r -1/3) (/ (* r -1/3) s) (/ (exp (/ (* r -1/3) s)) (* s (PI))) (PI) (/ r (* s (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (/ r (* s (PI))) -1/1296) (/ -1/24 (* s (PI))))
9.0ms	r	@	-inf	((* (* 1/8 r) (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (/ (* r -1/3) s)) (* s (PI))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* 1/8 r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r s) (PI))) (* (* r s) (PI)) (* r s) (* r (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (+ (+ (* 1/16 (/ r (* s (* s (PI))))) (/ 1/8 (* r (PI)))) (+ (* -1/48 (/ (* r r) (* (PI) (* s (* s s))))) (/ -1/8 (* s (PI))))) (+ (/ (* 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))) (* (* (* 2 (PI)) s) r)) (/ (+ (+ (* 1/16 (/ r (* s (* s (PI))))) (/ 1/8 (* r (PI)))) (+ (* -1/48 (/ (* r r) (* (PI) (* s (* s s))))) (/ -1/8 (* s (PI))))) s) (+ (* r (/ 1/144 (PI))) (* r (* (/ r (* s (PI))) -1/1296))) (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s)))) (+ (* 1/8 (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s))))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1 (* s (* r (PI)))) (* s (PI)) (* r -1/3) (/ (* r -1/3) s) (/ (exp (/ (* r -1/3) s)) (* s (PI))) (PI) (/ r (* s (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (/ r (* s (PI))) -1/1296) (/ -1/24 (* s (PI))))
9.0ms	s	@	0	((* (* 1/8 r) (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (/ (* r -1/3) s)) (* s (PI))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* 1/8 r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r s) (PI))) (* (* r s) (PI)) (* r s) (* r (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (+ (+ (* 1/16 (/ r (* s (* s (PI))))) (/ 1/8 (* r (PI)))) (+ (* -1/48 (/ (* r r) (* (PI) (* s (* s s))))) (/ -1/8 (* s (PI))))) (+ (/ (* 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))) (* (* (* 2 (PI)) s) r)) (/ (+ (+ (* 1/16 (/ r (* s (* s (PI))))) (/ 1/8 (* r (PI)))) (+ (* -1/48 (/ (* r r) (* (PI) (* s (* s s))))) (/ -1/8 (* s (PI))))) s) (+ (* r (/ 1/144 (PI))) (* r (* (/ r (* s (PI))) -1/1296))) (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s)))) (+ (* 1/8 (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s))))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1 (* s (* r (PI)))) (* s (PI)) (* r -1/3) (/ (* r -1/3) s) (/ (exp (/ (* r -1/3) s)) (* s (PI))) (PI) (/ r (* s (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (/ r (* s (PI))) -1/1296) (/ -1/24 (* s (PI))))
7.0ms	s	@	-inf	((* (* 1/8 r) (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (/ (* r -1/3) s)) (* s (PI))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* 1/8 r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r s) (PI))) (* (* r s) (PI)) (* r s) (* r (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (+ (+ (* 1/16 (/ r (* s (* s (PI))))) (/ 1/8 (* r (PI)))) (+ (* -1/48 (/ (* r r) (* (PI) (* s (* s s))))) (/ -1/8 (* s (PI))))) (+ (/ (* 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))) (* (* (* 2 (PI)) s) r)) (/ (+ (+ (* 1/16 (/ r (* s (* s (PI))))) (/ 1/8 (* r (PI)))) (+ (* -1/48 (/ (* r r) (* (PI) (* s (* s s))))) (/ -1/8 (* s (PI))))) s) (+ (* r (/ 1/144 (PI))) (* r (* (/ r (* s (PI))) -1/1296))) (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s)))) (+ (* 1/8 (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s))))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1 (* s (* r (PI)))) (* s (PI)) (* r -1/3) (/ (* r -1/3) s) (/ (exp (/ (* r -1/3) s)) (* s (PI))) (PI) (/ r (* s (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (/ r (* s (PI))) -1/1296) (/ -1/24 (* s (PI))))
5.0ms	r	@	0	((* (* 1/8 r) (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (/ (* r -1/3) s)) (* s (PI))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* 1/8 r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r s) (PI))) (* (* r s) (PI)) (* r s) (* r (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (+ (* (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (+ (+ (* 1/16 (/ r (* s (* s (PI))))) (/ 1/8 (* r (PI)))) (+ (* -1/48 (/ (* r r) (* (PI) (* s (* s s))))) (/ -1/8 (* s (PI))))) (+ (/ (* 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))) (* (* (* 2 (PI)) s) r)) (/ (+ (+ (* 1/16 (/ r (* s (* s (PI))))) (/ 1/8 (* r (PI)))) (+ (* -1/48 (/ (* r r) (* (PI) (* s (* s s))))) (/ -1/8 (* s (PI))))) s) (+ (* r (/ 1/144 (PI))) (* r (* (/ r (* s (PI))) -1/1296))) (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s)))) (+ (* 1/8 (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s))))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1 (* s (* r (PI)))) (* s (PI)) (* r -1/3) (/ (* r -1/3) s) (/ (exp (/ (* r -1/3) s)) (* s (PI))) (PI) (/ r (* s (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (/ r (* s (PI))) -1/1296) (/ -1/24 (* s (PI))))

simplify245.0ms (1.5%)

Memory

9.0MiB live, 449.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 790×	`lower-fma.f64`
5 790×	`lower-fma.f32`
5 032×	`lower-*.f64`
5 032×	`lower-*.f32`
3 662×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	656	9894
1	2035	9462
2	6068	9395
0	8076	9172

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

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

rewrite377.0ms (2.4%)

Memory

-32.8MiB live, 608.0MiB allocated

Rules

5 554×	`lower-*.f64`
5 518×	`lower-*.f32`
4 144×	`lower-/.f64`
4 104×	`lower-/.f32`
3 448×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	728
0	166	716
1	678	660
2	6777	660
0	8633	655

Stop Event

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

Counts

30 → 585

Calls

Call 1

Inputs
(.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32)))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))))) (.f32 r r))
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))))))
(*.f32 #s(literal 1/8 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 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
(.f32 (.f32 r s) (PI.f32))
(*.f32 r s)
(.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))))
(fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32)))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)
(fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/1296 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (*.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32))))
(*.f32 s (PI.f32))
(*.f32 r #s(literal -1/3 binary32))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))
(PI.f32)
(/.f32 r (.f32 s (.f32 s (PI.f32))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s))
(.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))

Outputs
(+.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))))
(+.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (*.f32 s (PI.f32))))
(pow.f32 (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) (-.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32)))) (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) #s(literal 2 binary32))) (+.f32 (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 r (-.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))))) (-.f32 (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) #s(literal 2 binary32)) (pow.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/8 binary32) (.f32 r (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
(fma.f32 #s(literal 1/8 binary32) (.f32 r (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (PI.f32)))) (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))))
(fma.f32 r (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))))
(fma.f32 r (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
(fma.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
(fma.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (PI.f32))) (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (.f32 #s(literal 1/8 binary32) r)) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (*.f32 s (PI.f32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (.f32 #s(literal 1/8 binary32) r) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (.f32 #s(literal 1/8 binary32) r)) (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (PI.f32))) (.f32 #s(literal 1/8 binary32) r) (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))))
(fma.f32 (.f32 r (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
(fma.f32 (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
(fma.f32 (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) r (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) r (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
(fma.f32 (.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) r) #s(literal 1/8 binary32) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
(fma.f32 (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (PI.f32))) r) #s(literal 1/8 binary32) (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))))
(fma.f32 (.f32 (.f32 r (exp.f32 (/.f32 r (neg.f32 s)))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (*.f32 s (PI.f32))))
(fma.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))))
(fma.f32 (.f32 r (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))))
(fma.f32 (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (PI.f32))) #s(literal 1/8 binary32)) r (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))))
(fma.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (*.f32 s (PI.f32))))
(fma.f32 (.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(literal 1/8 binary32)) r (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
(-.f32 (/.f32 (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) #s(literal 2 binary32)) (.f32 r (-.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))) (/.f32 (pow.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) #s(literal 2 binary32)) (.f32 r (-.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) (-.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32)))) (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) #s(literal 2 binary32))) (+.f32 (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 r (-.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))))) (-.f32 (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) #s(literal 2 binary32)) (pow.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) (-.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32)))) (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (*.f32 s (PI.f32))) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) #s(literal 2 binary32)) (.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) #s(literal 2 binary32)) (pow.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) #s(literal 2 binary32))) (.f32 r (-.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) (-.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32)))) (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (*.f32 s (PI.f32))) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) #s(literal 2 binary32)) (pow.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) #s(literal 2 binary32)))) (neg.f32 (.f32 r (-.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))) #s(literal 2 binary32))) (-.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32)))) (/.f32 (.f32 (.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32)))))
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(pow.f32 (/.f32 #s(literal -3 binary32) (/.f32 r s)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (*.f32 (neg.f32 r) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 s #s(literal 3 binary32))) (/.f32 r (.f32 s #s(literal 3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(/.f32 (neg.f32 r) (*.f32 s #s(literal 3 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 r #s(literal -1/3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) (/.f32 r s)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 (neg.f32 r) #s(literal 1/3 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32)))))
(/.f32 (*.f32 r #s(literal 1/3 binary32)) (neg.f32 s))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) s)
(/.f32 (.f32 r #s(literal 1 binary32)) (.f32 s #s(literal -3 binary32)))
(/.f32 (neg.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (*.f32 r #s(literal 1/3 binary32))) s)
(/.f32 (.f32 (neg.f32 r) #s(literal 1 binary32)) (.f32 s #s(literal 3 binary32)))
(/.f32 (.f32 (.f32 r #s(literal -1/3 binary32)) #s(literal 1 binary32)) s)
(/.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) #s(literal -1 binary32)) s)
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(.f32 (.f32 r #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 (neg.f32 r) (/.f32 #s(literal 1/3 binary32) s))
(.f32 #s(literal 1 binary32) (/.f32 r (.f32 s #s(literal -3 binary32))))
(.f32 #s(literal -1 binary32) (/.f32 r (.f32 s #s(literal 3 binary32))))
(.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 #s(literal -1 binary32) s))
(.f32 (/.f32 #s(literal 1 binary32) s) (.f32 r #s(literal -1/3 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 r #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
(*.f32 (/.f32 #s(literal 1/3 binary32) s) (neg.f32 r))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(.f32 (.f32 (neg.f32 r) #s(literal 1/3 binary32)) (/.f32 #s(literal 1 binary32) s))
(neg.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (neg.f32 (.f32 s (PI.f32)))))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 s (PI.f32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (.f32 s (PI.f32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (.f32 s (PI.f32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (PI.f32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s)) #s(literal -1 binary32))
(/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 s (PI.f32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 s (PI.f32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 s (PI.f32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))))
(/.f32 (neg.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (neg.f32 (.f32 s (PI.f32))))
(/.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s) (PI.f32))
(/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1 binary32)) (*.f32 s (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (neg.f32 (neg.f32 (.f32 s (PI.f32)))))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (PI.f32)) s)
(/.f32 (/.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) s) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))))
(.f32 (neg.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 s (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
(.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) s) (/.f32 #s(literal 1 binary32) (PI.f32)))
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (log.f32 (exp.f32 #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (PI.f32))
(.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(log.f32 (exp.f32 (PI.f32)))
(neg.f32 (/.f32 r (.f32 (neg.f32 s) (.f32 s (PI.f32)))))
(neg.f32 (/.f32 (neg.f32 r) (.f32 s (.f32 s (PI.f32)))))
(exp.f32 (.f32 (log.f32 (.f32 s (/.f32 (*.f32 s (PI.f32)) r))) #s(literal -1 binary32)))
(pow.f32 (.f32 s (/.f32 (.f32 s (PI.f32)) r)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 s (/.f32 (.f32 s (PI.f32)) r)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s (PI.f32)) (/.f32 r s)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (neg.f32 s) (.f32 s (PI.f32)))) (/.f32 r (.f32 (neg.f32 s) (.f32 s (PI.f32)))))
(/.f32 r (.f32 s (.f32 s (PI.f32))))
(/.f32 r (neg.f32 (.f32 (neg.f32 s) (.f32 s (PI.f32)))))
(/.f32 (/.f32 r (neg.f32 s)) (neg.f32 (*.f32 s (PI.f32))))
(/.f32 (neg.f32 r) (.f32 (neg.f32 s) (.f32 s (PI.f32))))
(/.f32 (/.f32 r (*.f32 s (PI.f32))) s)
(/.f32 #s(literal 1 binary32) (.f32 s (/.f32 (.f32 s (PI.f32)) r)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 s (/.f32 (.f32 s (PI.f32)) r)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 r s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 s (/.f32 (.f32 s (PI.f32)) r))))
(/.f32 (/.f32 r s) (*.f32 s (PI.f32)))
(/.f32 (.f32 r #s(literal 1 binary32)) (.f32 s (*.f32 s (PI.f32))))
(/.f32 (/.f32 r (*.f32 s s)) (PI.f32))
(/.f32 (/.f32 (/.f32 r s) s) (PI.f32))
(.f32 r (/.f32 #s(literal 1 binary32) (.f32 s (*.f32 s (PI.f32)))))
(.f32 (neg.f32 r) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 s) (*.f32 s (PI.f32)))))
(.f32 #s(literal 1 binary32) (/.f32 r (.f32 s (*.f32 s (PI.f32)))))
(.f32 #s(literal -1 binary32) (/.f32 r (.f32 (neg.f32 s) (*.f32 s (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (*.f32 s (PI.f32)))) r)
(.f32 (/.f32 r s) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
(pow.f32 (/.f32 (.f32 s (PI.f32)) (.f32 r #s(literal -1/1296 binary32))) #s(literal -1 binary32))
(/.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 s (PI.f32)) r))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 s (PI.f32)) (.f32 r #s(literal -1/1296 binary32))))
(/.f32 (.f32 r #s(literal -1/1296 binary32)) (.f32 s (PI.f32)))
(/.f32 (neg.f32 (.f32 r #s(literal -1/1296 binary32))) (neg.f32 (.f32 s (PI.f32))))
(/.f32 (.f32 #s(literal -1/1296 binary32) (neg.f32 r)) (neg.f32 (.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal -1/1296 binary32) (/.f32 r s)) (PI.f32))
(/.f32 (.f32 (neg.f32 r) #s(literal -1/1296 binary32)) (neg.f32 (.f32 s (PI.f32))))
(/.f32 (*.f32 (/.f32 r s) #s(literal -1/1296 binary32)) (PI.f32))
(/.f32 (/.f32 (*.f32 r #s(literal -1/1296 binary32)) s) (PI.f32))
(/.f32 (/.f32 (*.f32 r #s(literal -1/1296 binary32)) (PI.f32)) s)
(.f32 r (.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) #s(literal -1/1296 binary32)))
(.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))))
(.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32))
(.f32 #s(literal -1/1296 binary32) (/.f32 r (.f32 s (PI.f32))))
(*.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -1/1296 binary32) s))
(*.f32 (/.f32 r s) (/.f32 #s(literal -1/1296 binary32) (PI.f32)))
(.f32 (.f32 r #s(literal -1/1296 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(neg.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 s (PI.f32))))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))) #s(literal -1 binary32)))
(pow.f32 (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal -1/24 binary32) s)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal -1/24 binary32) s)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/.f32 #s(literal -1/24 binary32) (neg.f32 (neg.f32 (*.f32 s (PI.f32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32))))
(/.f32 #s(literal 1/24 binary32) (neg.f32 (*.f32 s (PI.f32))))
(/.f32 (/.f32 #s(literal -1/24 binary32) s) (PI.f32))
(/.f32 (neg.f32 (/.f32 #s(literal -1/24 binary32) s)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) s)
(/.f32 (/.f32 (/.f32 #s(literal -1/24 binary32) s) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal -1/24 binary32) s) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal -1/24 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))
(.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))
(.f32 #s(literal 1/24 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 s (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) #s(literal -1/24 binary32))
(*.f32 (/.f32 #s(literal -1/24 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)))

eval469.0ms (3%)

Memory: 9.5MiB live, 446.8MiB allocated
Compiler: Compiled 71 253 to 4 882 computations (93.1% saved)

prune532.0ms (3.4%)

Memory

18.5MiB live, 416.1MiB allocated

Pruning

89 alts after pruning (85 fresh and 4 done)

	Pruned	Kept	Total
New	1 742	37	1 779
Fresh	15	48	63
Picked	2	3	5
Done	1	1	2
Total	1 760	89	1 849

Accuracy

99.6%

Counts

1 849 → 89

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	10.7%	(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 s (PI.f32)))) #s(literal 1/8 binary32) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	98.4%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	10.6%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
	9.4%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))))
▶	10.6%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	98.5%	(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	98.5%	(fma.f32 #s(literal 1/6 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 3/4 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
	10.6%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (PI.f32)) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
	9.5%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (fma.f32 #s(literal 1/144 binary32) (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)))
	10.6%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	9.3%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	10.8%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) s)))
	10.8%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)))
	10.6%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))) s)))
	10.6%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (.f32 r (.f32 r #s(literal -1/1296 binary32))) (.f32 s (PI.f32))) (/.f32 r (.f32 (PI.f32) #s(literal 144 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))) s)))
	9.4%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	9.5%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) (.f32 r s))))))
	7.7%	(fma.f32 #s(literal 1/8 binary32) #s(approx (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
	99.1%	(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (.f32 (log.f32 (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
	98.9%	(/.f32 (/.f32 (fma.f32 r (.f32 (.f32 s (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))) (.f32 (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r)) (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 r s))
▶	99.3%	(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) r) r)
	11.6%	(/.f32 (+.f32 (/.f32 (.f32 (exp.f32 (.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1/512 binary32)) (.f32 (.f32 (.f32 r r) r) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 s s) s)))) (/.f32 (.f32 (exp.f32 (.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)) #s(literal 3 binary32))) #s(literal 1/512 binary32)) (.f32 (.f32 (.f32 r r) r) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 s s) s))))) (fma.f32 (.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))) (/.f32 (-.f32 (.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 1/8 binary32)) (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s))))) (.f32 s (.f32 r (PI.f32)))) (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))) (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))))))
	8.5%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (fma.f32 (/.f32 (.f32 r #s(literal -1/6 binary32)) (.f32 s (.f32 s (PI.f32)))) r (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 4 binary32))))) (.f32 r r))
	9.9%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (PI.f32))) #s(literal -1/6 binary32) (fma.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32)) (.f32 (/.f32 (.f32 r (.f32 r r)) (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32)))) s)) (.f32 r r))
	8.9%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 r #s(literal 1/4 binary32)) (.f32 s (PI.f32)))) (*.f32 r r))
	99.3%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 #s(literal 1/8 binary32) r))) (.f32 r r))
	9.4%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/3 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))))) (*.f32 r r))
	9.5%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))))) (.f32 r r))
	10.8%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) (.f32 s (PI.f32))) (fma.f32 (.f32 r (/.f32 r (.f32 s (.f32 s (PI.f32))))) #s(literal 1/18 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))) s))))) (*.f32 r r))
	9.4%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))))) (.f32 r r))
✓	8.7%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
	8.7%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
	8.6%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)))) (.f32 r r))
	8.9%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
	9.6%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) #s(approx (* (* 1/8 r) (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (/ (* r -1/3) s)) (* s (PI))))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (/.f32 r (PI.f32)) #s(literal -4/3 binary32))) (/.f32 (fma.f32 r (.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -5/9 binary32))) (/.f32 (.f32 (.f32 #s(literal -1/8 binary32) (.f32 (/.f32 (.f32 r (.f32 r r)) (PI.f32)) #s(literal -14/81 binary32))) r) s)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)))) (*.f32 r r))
	10.7%	(+.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 r s)) (PI.f32)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	10.8%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
	10.8%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 #s(literal 1/144 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	9.4%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
	9.4%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))
	9.5%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
	10.8%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
	6.1%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 (.f32 r (.f32 r r)) (.f32 s (.f32 s s))) #s(literal -1/6 binary32) (fma.f32 r (.f32 #s(literal 1/2 binary32) (/.f32 r (.f32 s s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	9.4%	(+.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 s (.f32 r (PI.f32)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.8%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	6.1%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.5%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 r #s(literal 1/4 binary32) (/.f32 (fma.f32 (.f32 r r) #s(literal -1/8 binary32) (.f32 #s(literal 1/24 binary32) (.f32 r (.f32 r (/.f32 r s))))) s)) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
▶	6.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	6.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.9%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) s)))
✓	6.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	5.5%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(approx (+ (+ (* 1/16 (/ r (* s (* s (PI))))) (/ 1/8 (* r (PI)))) (+ (* -1/48 (/ (* r r) (* (PI) (* s (* s s))))) (/ -1/8 (* s (PI))))) (/.f32 (fma.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -1/48 binary32) (.f32 (/.f32 (.f32 r s) (PI.f32)) #s(literal 1/16 binary32))) (.f32 s (.f32 s s)))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	4.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(approx (+ (+ (* 1/16 (/ r (* s (* s (PI))))) (/ 1/8 (* r (PI)))) (+ (* -1/48 (/ (* r r) (* (PI) (* s (* s s))))) (/ -1/8 (* s (PI))))) (.f32 r (.f32 r (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 r (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/48 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.7%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	8.7%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 r r)) #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))))
	99.3%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	98.9%	(exp.f32 (.f32 (log.f32 (/.f32 (.f32 r r) #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))))) #s(literal -1 binary32)))
	8.6%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
	8.2%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (+.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
	10.1%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
	9.5%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal 7/324 binary32)) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
	98.1%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))))) (.f32 r (*.f32 r s))))
	8.6%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (.f32 r s)))))
	8.6%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
	10.1%	#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 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
▶	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
	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 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (.f32 r (.f32 r #s(literal -7/324 binary32))) (.f32 s (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
▶	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)))
✓	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	10.1%	#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 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
	99.3%	#s(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 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))

Compiler

Compiled 5 484 to 3 230 computations (41.1% saved)

simplify371.0ms (2.3%)

Memory

-19.8MiB live, 224.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 r (.f32 s (PI.f32)))
cost-diff	0	(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
cost-diff	0	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
cost-diff	96	(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))
cost-diff	0	(/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))))) s)
cost-diff	0	#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))))) s))
cost-diff	0	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
cost-diff	832	(fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))))
cost-diff	0	(/.f32 #s(literal 1/4 binary32) (*.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 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
cost-diff	192	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32)))
cost-diff	992	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
cost-diff	0	(*.f32 r (PI.f32))
cost-diff	0	(.f32 (.f32 r (PI.f32)) s)
cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) 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 r (PI.f32)) s)))
cost-diff	0	#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
cost-diff	0	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) r)
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
cost-diff	192	(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) r) r)

Rules

6 094×	`lower-fma.f64`
6 084×	`lower-fma.f32`
5 088×	`lower-*.f64`
5 062×	`lower-*.f32`
3 456×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	971
0	156	957
1	310	915
2	828	877
3	2678	853
4	4019	853
5	4462	853
6	5721	853
7	6289	853
8	7078	853
9	7380	853
0	8950	841

Stop Event

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

Calls

Call 1

Inputs
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) r) r)
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) r)
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
(.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
(*.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)
r
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
#s(literal 1 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 s #s(literal -3 binary32))
#s(literal -3 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 r (PI.f32)) s)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
#s(literal 1/4 binary32)
(.f32 (.f32 r (PI.f32)) s)
(*.f32 r (PI.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 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r s))
#s(literal 1/4 binary32)
(*.f32 r s)
r
s
(sqrt.f32 (PI.f32))
(PI.f32)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))))) s))
(/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))))) s)
(fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))))
(*.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32)))
#s(literal -1/48 binary32)
(/.f32 r (PI.f32))
r
(PI.f32)
(/.f32 r (.f32 s (.f32 s s)))
(.f32 s (.f32 s s))
s
(*.f32 s s)
(+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))
(/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32)))
#s(literal -1/8 binary32)
(*.f32 s (PI.f32))
(fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))
(/.f32 r (.f32 s (.f32 s (PI.f32))))
(.f32 s (.f32 s (PI.f32)))
#s(literal 1/16 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 r (PI.f32))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(.f32 r (.f32 s (PI.f32)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(.f32 r (.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
(/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s))
(fma.f32 r (/.f32 #s(literal -1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32)))
(/.f32 #s(literal -1/1296 binary32) (*.f32 s (PI.f32)))
#s(literal -1/1296 binary32)
(/.f32 #s(literal 1/144 binary32) (PI.f32))
#s(literal 1/144 binary32)
(*.f32 s s)
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(*.f32 r (PI.f32))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
#s(literal -1/24 binary32)

Outputs
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) r) r)
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) r)
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))))) r)
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))))
(.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
(.f32 r (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))))
(*.f32 #s(literal 1/8 binary32) r)
(*.f32 r #s(literal 1/8 binary32))
#s(literal 1/8 binary32)
r
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
#s(literal 1 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 s #s(literal -3 binary32))
#s(literal -3 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 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 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(.f32 (.f32 r (PI.f32)) s)
(.f32 r (.f32 s (PI.f32)))
(*.f32 r (PI.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 #s(literal 1/4 binary32) (*.f32 r s)) (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 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r s))
#s(literal 1/4 binary32)
(*.f32 r s)
r
s
(sqrt.f32 (PI.f32))
(PI.f32)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/16 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))))) s))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/16 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s))
(/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))))) s)
(/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/16 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)
(fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))))
(+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -1/48 binary32) s) #s(literal 1/16 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))
(*.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32)))
(/.f32 (*.f32 r #s(literal -1/48 binary32)) (PI.f32))
#s(literal -1/48 binary32)
(/.f32 r (PI.f32))
r
(PI.f32)
(/.f32 r (.f32 s (.f32 s s)))
(.f32 s (.f32 s s))
s
(*.f32 s s)
(+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))
(+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))
(/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32)))
#s(literal -1/8 binary32)
(*.f32 s (PI.f32))
(fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))
(fma.f32 r (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))
(/.f32 r (.f32 s (.f32 s (PI.f32))))
(.f32 s (.f32 s (PI.f32)))
#s(literal 1/16 binary32)
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 r (PI.f32))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(.f32 r (.f32 s (PI.f32)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal -1/1296 binary32) (/.f32 r s) #s(literal 1/144 binary32))) (.f32 s s))) s)))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(.f32 r (.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal -1/1296 binary32) (/.f32 r s) #s(literal 1/144 binary32))) (.f32 s s))) s))
(/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal -1/1296 binary32) (/.f32 r s) #s(literal 1/144 binary32))) (.f32 s s))) s)
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))
(+.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal -1/1296 binary32) (/.f32 r s) #s(literal 1/144 binary32))) (.f32 s s)))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s))
(/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s))
(fma.f32 r (/.f32 #s(literal -1/1296 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32)))
(fma.f32 #s(literal -1/1296 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32)))
(/.f32 #s(literal -1/1296 binary32) (*.f32 s (PI.f32)))
#s(literal -1/1296 binary32)
(/.f32 #s(literal 1/144 binary32) (PI.f32))
#s(literal 1/144 binary32)
(*.f32 s s)
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(*.f32 r (PI.f32))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
#s(literal -1/24 binary32)

localize365.0ms (2.3%)

Memory

35.5MiB live, 430.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.33984375	(*.f32 s (PI.f32))
accuracy	0.36556625976844204	(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
accuracy	0.4352441935446183	(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))
accuracy	28.58424782294856	#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
accuracy	0.44921875	(*.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32)))
accuracy	13.996708143315766	(fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))))
accuracy	28.942654120288466	#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))))) s))
accuracy	29.04582324787934	#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
accuracy	0.28088629138909577	(/.f32 #s(literal 1/4 binary32) (*.f32 r s))
accuracy	0.36328125	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32)))
accuracy	0.37890625	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy	29.142326002615075	#s(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 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
accuracy	0.23046875	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
accuracy	0.2578125	(.f32 (.f32 r (PI.f32)) s)
accuracy	0.328125	(*.f32 r (PI.f32))
accuracy	29.142326002615075	#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 r (PI.f32)) s)))
accuracy	0.12378798843243409	(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
accuracy	0.25390625	(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
accuracy	0.28515625	(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy	0.33984375	(*.f32 s (PI.f32))

Samples

200.0ms

256×

valid

Compiler

Compiled 749 to 93 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-div: 83.0ms (48.9% of total)

ival-mult: 52.0ms (30.6% of total)

const: 11.0ms (6.5% of total)

ival-add: 10.0ms (5.9% of total)

ival-exp: 7.0ms (4.1% of total)

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

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

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

exact: 1.0ms (0.6% of total)

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

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

series82.0ms (0.5%)

Memory

-35.7MiB live, 162.2MiB allocated

Counts

27 → 588

Calls

Call 1

Inputs
#<alt (/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) r) r)>
#<alt (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))>
#<alt (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) r)>
#<alt #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))>
#<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 r (PI.f32)) s)))>
#<alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))>
#<alt (.f32 (.f32 r (PI.f32)) s)>
#<alt (*.f32 r (PI.f32))>
#<alt (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))>
#<alt (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32)))>
#<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 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))>
#<alt (/.f32 #s(literal 1/4 binary32) (*.f32 r s))>
#<alt (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))))>
#<alt (+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))>
#<alt #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))))) s))>
#<alt (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))))) s)>
#<alt (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))>
#<alt (fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))>
#<alt (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))>
#<alt (.f32 r (.f32 s (PI.f32)))>
#<alt (*.f32 s (PI.f32))>
#<alt (/.f32 r (*.f32 s #s(literal -3 binary32)))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))>
#<alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))>
#<alt (*.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32)))>
#<alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))>
#<alt (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))>

Outputs
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI)))>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI)))>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI)))>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI)))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* r s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* r s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* r s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* r s))>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* 1/4 (* (/ 1 (* r s)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/4 (* (/ 1 (* r s)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/4 (* (/ 1 (* r s)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/4 (* (/ 1 (* r s)) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ 1/4 (* r s))>
#<alt (/ 1/4 (* r s))>
#<alt (/ 1/4 (* r s))>
#<alt (/ 1/4 (* r s))>
#<alt (* -1/48 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* 1/16 (/ (* r s) (PI)))) (pow s 3))>
#<alt (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* s (+ (* -1/8 (/ s (PI))) (* 1/16 (/ r (PI)))))) (pow s 3))>
#<alt (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* s (+ (* 1/16 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/8 (/ 1 (PI)))))))) (pow s 3))>
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#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (/ 1/4 (* r s))>
#<alt (/ 1/4 (* r s))>
#<alt (/ 1/4 (* r s))>
#<alt (/ 1/4 (* r s))>
#<alt (* -1/48 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* (pow r 2) (- (* 1/16 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/48 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/16 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)) (* 1/16 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* -1/48 (/ (pow r 2) (* (pow s 4) (PI))))>
#<alt (* (pow r 2) (- (* 1/16 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/48 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/16 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/16 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* s (PI))))) (* 1/144 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) r)) (* 1/144 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* -1/48 (/ r (PI)))>
#<alt (* -1/48 (/ r (PI)))>
#<alt (* -1/48 (/ r (PI)))>
#<alt (* -1/48 (/ r (PI)))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	r	@	-inf	((/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (* (/ 1 (* s (PI))) (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r (PI)) s)) (* (* r (PI)) s) (* r (PI)) (/ (/ (/ 1/4 (* r s)) (sqrt (PI))) (sqrt (PI))) (/ (/ 1/4 (* r s)) (sqrt (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* r s)) (+ (* (* -1/48 (/ r (PI))) (/ r (* s (* s s)))) (+ (/ -1/8 (* s (PI))) (+ (* (/ r (* s (* s (PI)))) 1/16) (/ 1/8 (* r (PI)))))) (+ (/ (* 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))) (* (* (* 2 (PI)) s) r)) (/ (+ (* (* -1/48 (/ r (PI))) (/ r (* s (* s s)))) (+ (/ -1/8 (* s (PI))) (+ (* (/ r (* s (* s (PI)))) 1/16) (/ 1/8 (* r (PI)))))) s) (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (+ (* (/ 1/8 (* r (* s (PI)))) (exp (/ r (neg s)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/8 (* r (* s (PI)))) (* r (* s (PI))) (* s (PI)) (/ r (* s -3)) (/ 1 (* s (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* -1/48 (/ r (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ -1/24 (* s (PI))))
7.0ms	s	@	0	((/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (* (/ 1 (* s (PI))) (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r (PI)) s)) (* (* r (PI)) s) (* r (PI)) (/ (/ (/ 1/4 (* r s)) (sqrt (PI))) (sqrt (PI))) (/ (/ 1/4 (* r s)) (sqrt (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* r s)) (+ (* (* -1/48 (/ r (PI))) (/ r (* s (* s s)))) (+ (/ -1/8 (* s (PI))) (+ (* (/ r (* s (* s (PI)))) 1/16) (/ 1/8 (* r (PI)))))) (+ (/ (* 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))) (* (* (* 2 (PI)) s) r)) (/ (+ (* (* -1/48 (/ r (PI))) (/ r (* s (* s s)))) (+ (/ -1/8 (* s (PI))) (+ (* (/ r (* s (* s (PI)))) 1/16) (/ 1/8 (* r (PI)))))) s) (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (+ (* (/ 1/8 (* r (* s (PI)))) (exp (/ r (neg s)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/8 (* r (* s (PI)))) (* r (* s (PI))) (* s (PI)) (/ r (* s -3)) (/ 1 (* s (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* -1/48 (/ r (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ -1/24 (* s (PI))))
7.0ms	r	@	inf	((/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (* (/ 1 (* s (PI))) (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r (PI)) s)) (* (* r (PI)) s) (* r (PI)) (/ (/ (/ 1/4 (* r s)) (sqrt (PI))) (sqrt (PI))) (/ (/ 1/4 (* r s)) (sqrt (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* r s)) (+ (* (* -1/48 (/ r (PI))) (/ r (* s (* s s)))) (+ (/ -1/8 (* s (PI))) (+ (* (/ r (* s (* s (PI)))) 1/16) (/ 1/8 (* r (PI)))))) (+ (/ (* 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))) (* (* (* 2 (PI)) s) r)) (/ (+ (* (* -1/48 (/ r (PI))) (/ r (* s (* s s)))) (+ (/ -1/8 (* s (PI))) (+ (* (/ r (* s (* s (PI)))) 1/16) (/ 1/8 (* r (PI)))))) s) (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (+ (* (/ 1/8 (* r (* s (PI)))) (exp (/ r (neg s)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/8 (* r (* s (PI)))) (* r (* s (PI))) (* s (PI)) (/ r (* s -3)) (/ 1 (* s (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* -1/48 (/ r (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ -1/24 (* s (PI))))
6.0ms	s	@	inf	((/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (* (/ 1 (* s (PI))) (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r (PI)) s)) (* (* r (PI)) s) (* r (PI)) (/ (/ (/ 1/4 (* r s)) (sqrt (PI))) (sqrt (PI))) (/ (/ 1/4 (* r s)) (sqrt (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* r s)) (+ (* (* -1/48 (/ r (PI))) (/ r (* s (* s s)))) (+ (/ -1/8 (* s (PI))) (+ (* (/ r (* s (* s (PI)))) 1/16) (/ 1/8 (* r (PI)))))) (+ (/ (* 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))) (* (* (* 2 (PI)) s) r)) (/ (+ (* (* -1/48 (/ r (PI))) (/ r (* s (* s s)))) (+ (/ -1/8 (* s (PI))) (+ (* (/ r (* s (* s (PI)))) 1/16) (/ 1/8 (* r (PI)))))) s) (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (+ (* (/ 1/8 (* r (* s (PI)))) (exp (/ r (neg s)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/8 (* r (* s (PI)))) (* r (* s (PI))) (* s (PI)) (/ r (* s -3)) (/ 1 (* s (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* -1/48 (/ r (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ -1/24 (* s (PI))))
5.0ms	s	@	-inf	((/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (* (/ 1 (* s (PI))) (+ (exp (/ r (neg s))) (exp (/ r (* s -3))))) (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r (PI)) s)) (* (* r (PI)) s) (* r (PI)) (/ (/ (/ 1/4 (* r s)) (sqrt (PI))) (sqrt (PI))) (/ (/ 1/4 (* r s)) (sqrt (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* r s)) (+ (* (* -1/48 (/ r (PI))) (/ r (* s (* s s)))) (+ (/ -1/8 (* s (PI))) (+ (* (/ r (* s (* s (PI)))) 1/16) (/ 1/8 (* r (PI)))))) (+ (/ (* 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))) (* (* (* 2 (PI)) s) r)) (/ (+ (* (* -1/48 (/ r (PI))) (/ r (* s (* s s)))) (+ (/ -1/8 (* s (PI))) (+ (* (/ r (* s (* s (PI)))) 1/16) (/ 1/8 (* r (PI)))))) s) (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (+ (* (/ 1/8 (* r (* s (PI)))) (exp (/ r (neg s)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/8 (* r (* s (PI)))) (* r (* s (PI))) (* s (PI)) (/ r (* s -3)) (/ 1 (* s (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* -1/48 (/ r (PI))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ -1/24 (* s (PI))))

simplify255.0ms (1.6%)

Memory

41.3MiB live, 516.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 900×	`lower-fma.f64`
6 900×	`lower-fma.f32`
4 978×	`lower-*.f64`
4 978×	`lower-*.f32`
3 114×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	655	8847
1	2061	8378
2	6229	8305
0	8064	8126

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

Inputs
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* (pow r 2) s))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI)))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI)))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI)))
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* s (PI)))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* r s))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* r s))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* r s))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) (* r s))
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (PI)))) s)
(/ (+ (* 1/8 (/ (* r (exp (* -1 (/ r s)))) (PI))) (* 1/8 (/ (* r (exp (* -1/3 (/ r s)))) (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)
(/ 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)))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* 1/4 (* (/ 1 (* r s)) (sqrt (/ 1 (PI)))))
(* 1/4 (* (/ 1 (* r s)) (sqrt (/ 1 (PI)))))
(* 1/4 (* (/ 1 (* r s)) (sqrt (/ 1 (PI)))))
(* 1/4 (* (/ 1 (* r s)) (sqrt (/ 1 (PI)))))
(/ (+ (* 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))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(/ 1/4 (* r s))
(* -1/48 (/ (pow r 2) (* (pow s 3) (PI))))
(/ (+ (* -1/48 (/ (pow r 2) (PI))) (* 1/16 (/ (* r s) (PI)))) (pow s 3))
(/ (+ (* -1/48 (/ (pow r 2) (PI))) (* s (+ (* -1/8 (/ s (PI))) (* 1/16 (/ r (PI)))))) (pow s 3))
(/ (+ (* -1/48 (/ (pow r 2) (PI))) (* s (+ (* 1/16 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/8 (/ 1 (PI)))))))) (pow s 3))
(/ (+ (* 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)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* -1/48 (/ (pow r 2) (* (pow s 4) (PI))))
(/ (+ (* -1/48 (/ (pow r 2) (PI))) (* 1/16 (/ (* r s) (PI)))) (pow s 4))
(/ (+ (* -1/48 (/ (pow r 2) (PI))) (* s (+ (* -1/8 (/ s (PI))) (* 1/16 (/ r (PI)))))) (pow s 4))
(/ (+ (* -1/48 (/ (pow r 2) (PI))) (* s (+ (* 1/16 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/8 (/ 1 (PI)))))))) (pow s 4))
(* -1/1296 (/ (pow r 2) (* (pow s 3) (PI))))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 3))
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(.f32 (.f32 r r) (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (PI.f32) (.f32 r (.f32 s s)))) (/.f32 #s(literal -1/48 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/16 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 3) (PI))))))
(.f32 (.f32 r r) (-.f32 (/.f32 #s(literal -1/48 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 r (.f32 s (PI.f32))))) (/.f32 #s(literal 1/16 binary32) (.f32 (PI.f32) (.f32 r (*.f32 s s)))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)) (* 1/16 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 3) (PI))))))
(.f32 r (.f32 r (+.f32 (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))) (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s (PI.f32))))) r) (/.f32 #s(literal -1/48 binary32) (.f32 (PI.f32) (.f32 s (*.f32 s s)))))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* -1/48 (/ (pow r 2) (* (pow s 4) (PI))))
(/.f32 (.f32 (.f32 r r) #s(literal -1/48 binary32)) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))
(* (pow r 2) (- (* 1/16 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/48 (/ 1 (* (pow s 4) (PI))))))
(.f32 (.f32 r r) (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 r (.f32 (PI.f32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/48 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/16 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 4) (PI))))))
(.f32 (.f32 r r) (-.f32 (/.f32 #s(literal -1/48 binary32) (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r r) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/16 binary32) (.f32 r (.f32 (PI.f32) (.f32 s (*.f32 s s))))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/16 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/48 (/ 1 (* (pow s 4) (PI))))))
(.f32 (.f32 r r) (+.f32 (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 r (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r (.f32 s s))))) (/.f32 #s(literal 1/16 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))) r) (/.f32 #s(literal -1/48 binary32) (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))
(* -1/1296 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 (.f32 r r) #s(literal -1/1296 binary32)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))
(.f32 (.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (.f32 (PI.f32) (.f32 r (.f32 s s)))) (/.f32 #s(literal -1/1296 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* s (PI))))) (* 1/144 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))
(.f32 (.f32 r r) (-.f32 (/.f32 #s(literal -1/1296 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (-.f32 (/.f32 #s(literal 1/24 binary32) (.f32 r (.f32 r (.f32 s (PI.f32))))) (/.f32 #s(literal 1/144 binary32) (.f32 (PI.f32) (.f32 r (*.f32 s s)))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) r)) (* 1/144 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))
(.f32 (.f32 r r) (+.f32 (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 r (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 r (.f32 s (PI.f32))))) (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32))))) r) (/.f32 #s(literal -1/1296 binary32) (.f32 (PI.f32) (.f32 s (*.f32 s s))))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* -1/3 (/ r s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* -1/48 (/ r (PI)))
(*.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32)))
(* -1/48 (/ r (PI)))
(*.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32)))
(* -1/48 (/ r (PI)))
(*.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32)))
(* -1/48 (/ r (PI)))
(*.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32)))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 s (PI.f32)))))

rewrite292.0ms (1.8%)

Memory

-2.5MiB live, 554.5MiB allocated

Rules

4 836×	`lower-*.f64`
4 810×	`lower-*.f32`
3 650×	`lower-/.f64`
3 608×	`lower-/.f32`
3 112×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	692
0	156	676
1	624	610
2	6026	610
0	8055	610

Stop Event

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

Counts

27 → 570

Calls

Call 1

Inputs
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) r) r)
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) r)
#s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 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 r (PI.f32)) s)))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
(.f32 (.f32 r (PI.f32)) s)
(*.f32 r (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (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 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r s))
(fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))))) s))
(/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))))) s)
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(.f32 r (.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(*.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32)))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))

Outputs
(neg.f32 (/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) r) (neg.f32 r)))
(neg.f32 (/.f32 (neg.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) r)) r))
(exp.f32 (.f32 (log.f32 (.f32 r (/.f32 r #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))))))) #s(literal -1 binary32)))
(pow.f32 (.f32 r (/.f32 r #s(approx (+ ( (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 r (/.f32 r #s(approx (+ ( (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 r r) #s(approx (+ ( (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (.f32 r (/.f32 r #s(approx (+ ( (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))))))
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(/.f32 (/.f32 (*.f32 r #s(literal -1/48 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (*.f32 r #s(literal -1/48 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 r (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal -1/48 binary32)))
(*.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32)))
(*.f32 (/.f32 r (PI.f32)) #s(literal -1/48 binary32))
(.f32 (.f32 r #s(literal -1/48 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal -1/48 binary32) (sqrt.f32 (PI.f32))) (/.f32 r (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal -1/48 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 r (cbrt.f32 (PI.f32))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s))
(neg.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 s (PI.f32))))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))) #s(literal -1 binary32)))
(pow.f32 (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal -1/24 binary32) s)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal -1/24 binary32) s)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/.f32 #s(literal -1/24 binary32) (neg.f32 (neg.f32 (*.f32 s (PI.f32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32))))
(/.f32 #s(literal 1/24 binary32) (neg.f32 (*.f32 s (PI.f32))))
(/.f32 (/.f32 #s(literal -1/24 binary32) s) (PI.f32))
(/.f32 (neg.f32 (/.f32 #s(literal -1/24 binary32) s)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) s)
(/.f32 (/.f32 (/.f32 #s(literal -1/24 binary32) s) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal -1/24 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal -1/24 binary32) s) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) #s(literal -1/24 binary32))
(.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))
(.f32 #s(literal 1/24 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal -1/24 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)))

eval166.0ms (1%)

Memory: -13.2MiB live, 422.3MiB allocated
Compiler: Compiled 53 315 to 3 086 computations (94.2% saved)

prune260.0ms (1.6%)

Memory

21.9MiB live, 616.8MiB allocated

Pruning

115 alts after pruning (108 fresh and 7 done)

	Pruned	Kept	Total
New	1 390	51	1 441
Fresh	23	57	80
Picked	2	3	5
Done	0	4	4
Total	1 415	115	1 530

Accuracy

99.6%

Counts

1 530 → 115

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.7%	(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 s (PI.f32)))) #s(literal 1/8 binary32) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	10.7%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r s) (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	9.4%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))))
	10.6%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
	10.6%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s s)) r) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
	10.6%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) #s(literal -1/24 binary32) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
	10.6%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))))) s)))
	10.8%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	10.6%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)))
	6.0%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (/.f32 (fma.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -1/1296 binary32) (.f32 #s(literal 1/144 binary32) (.f32 (/.f32 r (PI.f32)) s))) (.f32 s (*.f32 s s)))) s)))
	9.4%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
	10.8%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 (fma.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/144 binary32) (/.f32 #s(literal 1/24 binary32) (PI.f32))) s))) s)))
	10.6%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) s)) s))) s)))
	4.7%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (.f32 (.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (.f32 (PI.f32) (.f32 r (.f32 s s)))) (/.f32 #s(literal -1/1296 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))))) s)))
	9.4%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	9.5%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
	98.5%	(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	98.5%	(fma.f32 #s(literal 1/6 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 3/4 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
	10.6%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (PI.f32)) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
	10.8%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) s)))
	10.6%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (.f32 r (.f32 r #s(literal -1/1296 binary32))) (.f32 s (PI.f32))) (/.f32 r (.f32 (PI.f32) #s(literal 144 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))) s)))
	9.4%	(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	7.7%	(fma.f32 #s(literal 1/8 binary32) #s(approx (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
	99.1%	(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (.f32 (log.f32 (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
	98.9%	(/.f32 (/.f32 (fma.f32 r (.f32 (.f32 s (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))) (.f32 (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r)) (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 r s))
	96.6%	(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) r) r)
	99.2%	(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))))) r) r)
	8.9%	(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))) r) r)
	11.6%	(/.f32 (+.f32 (/.f32 (.f32 (exp.f32 (.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1/512 binary32)) (.f32 (.f32 (.f32 r r) r) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 s s) s)))) (/.f32 (.f32 (exp.f32 (.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)) #s(literal 3 binary32))) #s(literal 1/512 binary32)) (.f32 (.f32 (.f32 r r) r) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 s s) s))))) (fma.f32 (.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))) (/.f32 (-.f32 (.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 1/8 binary32)) (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s))))) (.f32 s (.f32 r (PI.f32)))) (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))) (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))))))
	96.2%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 r #s(approx (+ ( (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))))) #s(literal -1 binary32))) r)
	8.6%	(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))) r)
	8.2%	(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (fma.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 r (.f32 r r)) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -7/324 binary32) (fma.f32 (/.f32 (.f32 r r) (.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (PI.f32))))) s)) r)
	9.9%	(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (fma.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) s)) r)
	8.6%	(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r)
	9.5%	(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -5/72 binary32) (/.f32 (.f32 (.f32 r (.f32 r (/.f32 r (PI.f32)))) #s(literal 7/324 binary32)) s)) (neg.f32 s))) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r)
	8.9%	(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
	99.3%	(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))))) r)
	8.5%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (fma.f32 (/.f32 (.f32 r #s(literal -1/6 binary32)) (.f32 s (.f32 s (PI.f32)))) r (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 4 binary32))))) (.f32 r r))
	8.9%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 r #s(literal 1/4 binary32)) (.f32 s (PI.f32)))) (*.f32 r r))
	96.6%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
	99.3%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 #s(literal 1/8 binary32) r))) (.f32 r r))
	9.4%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/3 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))))) (*.f32 r r))
	9.5%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))))) (.f32 r r))
	9.4%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))))) (.f32 r r))
✓	8.7%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
	8.7%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
	8.6%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)))) (.f32 r r))
	8.9%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
	9.6%	(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) #s(approx (* (* 1/8 r) (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (/ (* r -1/3) s)) (* s (PI))))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (/.f32 r (PI.f32)) #s(literal -4/3 binary32))) (/.f32 (fma.f32 r (.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -5/9 binary32))) (/.f32 (.f32 (.f32 #s(literal -1/8 binary32) (.f32 (/.f32 (.f32 r (.f32 r r)) (PI.f32)) #s(literal -14/81 binary32))) r) s)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)))) (*.f32 r r))
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	10.7%	(+.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 r s)) (PI.f32)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	9.4%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
	9.4%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))
	9.5%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
	10.8%	(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
	6.1%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 (.f32 r (.f32 r r)) (.f32 s (.f32 s s))) #s(literal -1/6 binary32) (fma.f32 r (.f32 #s(literal 1/2 binary32) (/.f32 r (.f32 s s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.8%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	6.1%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.5%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 r #s(literal 1/4 binary32) (/.f32 (fma.f32 (.f32 r r) #s(literal -1/8 binary32) (.f32 #s(literal 1/24 binary32) (.f32 r (.f32 r (/.f32 r s))))) s)) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	6.1%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -1/48 binary32) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	6.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
✓	6.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	6.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.9%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) s)))
✓	6.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	5.5%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(approx (+ (+ (* 1/16 (/ r (* s (* s (PI))))) (/ 1/8 (* r (PI)))) (+ (* -1/48 (/ (* r r) (* (PI) (* s (* s s))))) (/ -1/8 (* s (PI))))) (/.f32 (fma.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -1/48 binary32) (.f32 (/.f32 (.f32 r s) (PI.f32)) #s(literal 1/16 binary32))) (.f32 s (.f32 s s)))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	4.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(approx (+ (+ (* 1/16 (/ r (* s (* s (PI))))) (/ 1/8 (* r (PI)))) (+ (* -1/48 (/ (* r r) (* (PI) (* s (* s s))))) (/ -1/8 (* s (PI))))) (.f32 r (.f32 r (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 r (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/48 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
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	96.5%	(.f32 #s(approx (+ ( (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (*.f32 r r)))
	96.1%	(exp.f32 (.f32 (log.f32 (.f32 r (/.f32 r #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))))))) #s(literal -1 binary32)))
	8.2%	#s(approx (/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (/.f32 (+.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
	10.1%	#s(approx (/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
	9.5%	#s(approx (/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal 7/324 binary32)) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
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	8.6%	#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (.f32 r s)))))
	10.1%	#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 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
	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 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) r))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
✓	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
	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 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32))))
	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 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 r s) #s(literal 4 binary32)))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
	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 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (.f32 r (.f32 r #s(literal -7/324 binary32))) (.f32 s (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 r s))) (sqrt.f32 (PI.f32))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)))
✓	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32))))
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✓	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
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	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
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	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
	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 #s(literal 1/4 binary32) (.f32 r s)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (sqrt.f32 (PI.f32)))))

Compiler

Compiled 8 387 to 2 733 computations (67.4% saved)

regimes153.0ms (1%)

Memory

19.1MiB live, 209.5MiB allocated

Counts

173 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 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) (PI.f32)) (*.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 r 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 (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 #s(literal 1/4 binary32) (*.f32 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 #s(literal 1/4 binary32) (.f32 r s)) (/.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 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 r #s(literal 1/4 binary32)) (.f32 s (PI.f32)))) (*.f32 r 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 s (/.f32 #s(literal 1/4 binary32) (*.f32 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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))) r) 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 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (.f32 r s)))))
#s(approx (/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
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(fma.f32 #s(literal 1/6 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 3/4 binary32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
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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 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(/.f32 (/.f32 (.f32 r (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))) r) 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 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r #s(literal 6 binary32))) (.f32 s (PI.f32))))
(/.f32 (/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) r) r)
(/.f32 (/.f32 (fma.f32 r (.f32 (.f32 s (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))) (.f32 (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r)) (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 r s))
(exp.f32 (.f32 (log.f32 (.f32 r (/.f32 r #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))))))) #s(literal -1 binary32)))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 r r) #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))))) #s(literal -1 binary32)))
(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 r #s(approx (+ ( (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))))) #s(literal -1 binary32))) r)
(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (.f32 (log.f32 (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 r r) (.f32 r (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32))))))) #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)) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 (.f32 (exp.f32 (.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1/512 binary32)) (.f32 (.f32 (.f32 r r) r) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 s s) s)))) (/.f32 (.f32 (exp.f32 (.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)) #s(literal 3 binary32))) #s(literal 1/512 binary32)) (.f32 (.f32 (.f32 r r) r) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 s s) s))))) (fma.f32 (.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))) (/.f32 (-.f32 (.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 1/8 binary32)) (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s))))) (.f32 s (.f32 r (PI.f32)))) (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))) (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))))))

Outputs

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

Calls

3 calls:

53.0ms

48.0ms

39.0ms

(+.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
99.3%	1	`s`
99.3%	1	`r`
99.3%	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 41 to 29 computations (29.3% saved)

regimes136.0ms (0.9%)

Memory

-6.0MiB live, 226.2MiB allocated

Counts

157 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 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) (PI.f32)) (*.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 r 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 (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 #s(literal 1/4 binary32) (*.f32 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 #s(literal 1/4 binary32) (.f32 r s)) (/.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 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 r #s(literal 1/4 binary32)) (.f32 s (PI.f32)))) (*.f32 r 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 s (/.f32 #s(literal 1/4 binary32) (*.f32 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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))) r) 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 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (.f32 r s)))))
#s(approx (/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 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(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (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 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (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 #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) (.f32 (.f32 r s) (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 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))) r)
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/6 binary32) (/.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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 r s) (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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 r s) #s(literal 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (sqrt.f32 (PI.f32)) s)) (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 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (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 1/4 binary32) (*.f32 r s)) (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 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (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 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 r s))) (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 (/.f32 #s(literal 1/4 binary32) r) s) (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 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)))) (.f32 r r))
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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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (PI.f32))) #s(literal -1/1296 binary32) (/.f32 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (.f32 r (.f32 r #s(literal -1/1296 binary32))) (.f32 s (PI.f32))) (/.f32 r (.f32 (PI.f32) #s(literal 144 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 r s)) (PI.f32)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/1296 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (PI.f32)) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))))) s)))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))))) (.f32 r (*.f32 r s))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 r (PI.f32)) (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r (.f32 r r)) (.f32 s (PI.f32))) (.f32 #s(literal 1/144 binary32) (.f32 r (/.f32 r (PI.f32))))) s)) s) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s)) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(.f32 #s(approx (+ ( (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (*.f32 r r)))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 #s(literal 1/8 binary32) r))) (.f32 r 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 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 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 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32))))) r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))))) s)) (.f32 r r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))))) r)
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) r) r)
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(/.f32 #s(literal 1 binary32) (.f32 r (/.f32 r #s(approx (+ ( (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))))))
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))))) r) r)
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) r) r)
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(.f32 (/.f32 #s(literal 1 binary32) r) (fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))))

Outputs

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

Calls

3 calls:

45.0ms

44.0ms

36.0ms

(+.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
99.3%	1	`s`
99.3%	1	`r`
99.3%	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 41 to 29 computations (29.3% saved)

regimes131.0ms (0.8%)

Memory

-15.8MiB live, 179.9MiB allocated

Counts

145 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 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) (PI.f32)) (*.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 r 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 (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 #s(literal 1/4 binary32) (*.f32 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 #s(literal 1/4 binary32) (.f32 r s)) (/.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 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 r #s(literal 1/4 binary32)) (.f32 s (PI.f32)))) (*.f32 r 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 s (/.f32 #s(literal 1/4 binary32) (*.f32 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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
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(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r s) (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 s (PI.f32)))) #s(literal 1/8 binary32) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) #s(literal -1/24 binary32) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s s)) r) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) s)) s))) 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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 #s(approx (+ ( -1/1296 (/ (* r r) (* s (PI)))) (* r (/ 1/144 (PI)))) (.f32 r (fma.f32 #s(literal -1/1296 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (PI.f32))) #s(literal -1/1296 binary32) (/.f32 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (.f32 r (.f32 r #s(literal -1/1296 binary32))) (.f32 s (PI.f32))) (/.f32 r (.f32 (PI.f32) #s(literal 144 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 r s)) (PI.f32)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/1296 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (PI.f32)) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))))) s)))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))))) (.f32 r (*.f32 r s))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 r (PI.f32)) (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r (.f32 r r)) (.f32 s (PI.f32))) (.f32 #s(literal 1/144 binary32) (.f32 r (/.f32 r (PI.f32))))) s)) s) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s)) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(.f32 #s(approx (+ ( (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (*.f32 r r)))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 #s(literal 1/8 binary32) r))) (.f32 r 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 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 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 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) 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 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))

Calls

3 calls:

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)))

40.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`s`
99.3%	1	`r`
99.3%	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 41 to 29 computations (29.3% saved)

regimes123.0ms (0.8%)

Memory

28.3MiB live, 179.4MiB allocated

Counts

143 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 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) (PI.f32)) (*.f32 r s)))
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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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 #s(literal 1/144 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (fma.f32 #s(literal 1/144 binary32) (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) 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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/3 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) (.f32 s (PI.f32))) (fma.f32 (.f32 r (/.f32 r (.f32 s (.f32 s (PI.f32))))) #s(literal 1/18 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))) s))))) (*.f32 r r))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r s) (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 s (PI.f32)))) #s(literal 1/8 binary32) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) #s(literal -1/24 binary32) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (fma.f32 r (/.f32 #s(literal -1/1296 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s s)) r) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) s)) s))) 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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 #s(approx (+ ( -1/1296 (/ (* r r) (* s (PI)))) (* r (/ 1/144 (PI)))) (.f32 r (fma.f32 #s(literal -1/1296 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32))))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (PI.f32))) #s(literal -1/1296 binary32) (/.f32 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (.f32 r (.f32 r #s(literal -1/1296 binary32))) (.f32 s (PI.f32))) (/.f32 r (.f32 (PI.f32) #s(literal 144 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 r s)) (PI.f32)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/1296 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (PI.f32)) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))))) s)))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))))) (.f32 r (*.f32 r s))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 r (PI.f32)) (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r (.f32 r r)) (.f32 s (PI.f32))) (.f32 #s(literal 1/144 binary32) (.f32 r (/.f32 r (PI.f32))))) s)) s) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s)) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(.f32 #s(approx (+ ( (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (*.f32 r r)))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 #s(literal 1/8 binary32) r))) (.f32 r r))

Outputs

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

Calls

3 calls:

43.0ms

39.0ms

33.0ms

(+.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
99.3%	1	`s`
99.3%	1	`r`
99.3%	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 41 to 29 computations (29.3% saved)

regimes125.0ms (0.8%)

Memory

-21.3MiB live, 175.4MiB allocated

Counts

142 → 1

Calls

Call 1

Inputs
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(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 r (PI.f32)) (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r (.f32 r r)) (.f32 s (PI.f32))) (.f32 #s(literal 1/144 binary32) (.f32 r (/.f32 r (PI.f32))))) s)) s) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s)) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(.f32 #s(approx (+ ( (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (*.f32 r r)))

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

Calls

3 calls:

39.0ms

35.0ms

(+.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
99.3%	1	`s`
99.3%	1	`r`
99.3%	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 41 to 29 computations (29.3% saved)

regimes125.0ms (0.8%)

Memory

20.3MiB live, 173.1MiB allocated

Counts

139 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 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) (PI.f32)) (*.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 r 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 (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 #s(literal 1/4 binary32) (*.f32 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 #s(literal 1/4 binary32) (.f32 r s)) (/.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 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 r #s(literal 1/4 binary32)) (.f32 s (PI.f32)))) (*.f32 r 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 s (/.f32 #s(literal 1/4 binary32) (*.f32 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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))) r) 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 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (.f32 r s)))))
#s(approx (/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 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(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (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 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (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 #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) (.f32 (.f32 r s) (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 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))) r)
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/6 binary32) (/.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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 r s) (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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 r s) #s(literal 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (sqrt.f32 (PI.f32)) s)) (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 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (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 1/4 binary32) (*.f32 r s)) (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 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (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 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 r s))) (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 (/.f32 #s(literal 1/4 binary32) r) s) (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 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)))) (.f32 r r))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 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 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) s)) (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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 r r)) #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (fma.f32 (/.f32 (.f32 r #s(literal -1/6 binary32)) (.f32 s (.f32 s (PI.f32)))) r (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 4 binary32))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32)) (.f32 (/.f32 (.f32 r r) (.f32 s (PI.f32))) #s(literal -1/6 binary32))) s)) (.f32 r 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 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
#s(approx (/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (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 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) 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 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (fma.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) s)) r)
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(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (PI.f32)) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))))) s)))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))))) (.f32 r (*.f32 r s))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))

Outputs

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

Calls

3 calls:

47.0ms

39.0ms

30.0ms

(+.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
98.1%	1	`s`
98.1%	1	`r`
98.1%	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 41 to 29 computations (29.3% saved)

regimes358.0ms (2.3%)

Memory

-107.0MiB live, 169.7MiB allocated

Counts

137 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 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) (PI.f32)) (*.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 r 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 (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 #s(literal 1/4 binary32) (*.f32 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 #s(literal 1/4 binary32) (.f32 r s)) (/.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 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 r #s(literal 1/4 binary32)) (.f32 s (PI.f32)))) (*.f32 r 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 s (/.f32 #s(literal 1/4 binary32) (*.f32 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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))) r) 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 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (.f32 r s)))))
#s(approx (/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 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(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (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 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (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 #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) (.f32 (.f32 r s) (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 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))) r)
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/6 binary32) (/.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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 r s) (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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 r s) #s(literal 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (sqrt.f32 (PI.f32)) s)) (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 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (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 1/4 binary32) (*.f32 r s)) (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 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (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 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 r s))) (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 (/.f32 #s(literal 1/4 binary32) r) s) (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 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)))) (.f32 r r))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 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 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) s)) (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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 r r)) #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (fma.f32 (/.f32 (.f32 r #s(literal -1/6 binary32)) (.f32 s (.f32 s (PI.f32)))) r (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 4 binary32))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32)) (.f32 (/.f32 (.f32 r r) (.f32 s (PI.f32))) #s(literal -1/6 binary32))) s)) (.f32 r 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 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
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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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/1296 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s (PI.f32)) #s(literal -24 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (PI.f32)) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))))) s)))

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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))

Calls

3 calls:

282.0ms

38.0ms

30.0ms

(+.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
10.8%	1	`r`
10.8%	1	`s`
10.8%	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 41 to 29 computations (29.3% saved)

regimes99.0ms (0.6%)

Memory

-19.6MiB live, 138.1MiB allocated

Counts

110 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 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) (PI.f32)) (*.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 r 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 (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 #s(literal 1/4 binary32) (*.f32 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 #s(literal 1/4 binary32) (.f32 r s)) (/.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 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 r #s(literal 1/4 binary32)) (.f32 s (PI.f32)))) (*.f32 r 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 s (/.f32 #s(literal 1/4 binary32) (*.f32 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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))) r) 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 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (.f32 r s)))))
#s(approx (/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 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(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (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 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (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 #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) (.f32 (.f32 r s) (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 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))) r)
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/6 binary32) (/.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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 r s) (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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 r s) #s(literal 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (sqrt.f32 (PI.f32)) s)) (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 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (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 1/4 binary32) (*.f32 r s)) (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 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (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 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 r s))) (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 (/.f32 #s(literal 1/4 binary32) r) s) (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 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)))) (.f32 r r))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 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 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) s)) (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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 r r)) #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (fma.f32 (/.f32 (.f32 r #s(literal -1/6 binary32)) (.f32 s (.f32 s (PI.f32)))) r (/.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 4 binary32))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32)) (.f32 (/.f32 (.f32 r r) (.f32 s (PI.f32))) #s(literal -1/6 binary32))) s)) (.f32 r r))
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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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))))) (.f32 r r))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r 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 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 (fma.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/144 binary32) (/.f32 #s(literal 1/24 binary32) (PI.f32))) s))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (/.f32 (fma.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -1/1296 binary32) (.f32 #s(literal 1/144 binary32) (.f32 (/.f32 r (PI.f32)) s))) (.f32 s (*.f32 s s)))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (.f32 (.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (.f32 (PI.f32) (.f32 r (.f32 s s)))) (/.f32 #s(literal -1/1296 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 #s(literal 1/144 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))

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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))

Calls

3 calls:

33.0ms

31.0ms

25.0ms

(+.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
10.8%	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)))`
10.8%	1	`s`
10.8%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes97.0ms (0.6%)

Memory

51.2MiB live, 158.5MiB allocated

Counts

109 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 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) (PI.f32)) (*.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 r 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 (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 #s(literal 1/4 binary32) (*.f32 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 #s(literal 1/4 binary32) (.f32 r s)) (/.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 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 r #s(literal 1/4 binary32)) (.f32 s (PI.f32)))) (*.f32 r 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 s (/.f32 #s(literal 1/4 binary32) (*.f32 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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))) r) 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 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (.f32 r s)))))
#s(approx (/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 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(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (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 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (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 #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) (.f32 (.f32 r s) (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 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))) r)
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/6 binary32) (/.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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 r s) (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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 r s) #s(literal 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (sqrt.f32 (PI.f32)) s)) (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 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (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 1/4 binary32) (*.f32 r s)) (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 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (sqrt.f32 (PI.f32)))))
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(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))))) (.f32 r r))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) #s(approx (* (* 1/8 r) (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (/ (* r -1/3) s)) (* s (PI))))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (/.f32 r (PI.f32)) #s(literal -4/3 binary32))) (/.f32 (fma.f32 r (.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -5/9 binary32))) (/.f32 (.f32 (.f32 #s(literal -1/8 binary32) (.f32 (/.f32 (.f32 r (.f32 r r)) (PI.f32)) #s(literal -14/81 binary32))) r) s)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)))) (*.f32 r r))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) (.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))))) (.f32 r r))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r 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 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 (fma.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/144 binary32) (/.f32 #s(literal 1/24 binary32) (PI.f32))) s))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (/.f32 (fma.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -1/1296 binary32) (.f32 #s(literal 1/144 binary32) (.f32 (/.f32 r (PI.f32)) s))) (.f32 s (*.f32 s s)))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (.f32 (.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (.f32 (PI.f32) (.f32 r (.f32 s s)))) (/.f32 #s(literal -1/1296 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))

Calls

3 calls:

33.0ms

30.0ms

27.0ms

(+.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
10.8%	1	`r`
10.8%	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)))`
10.8%	1	`s`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes105.0ms (0.7%)

Memory

-2.6MiB live, 151.5MiB allocated

Counts

108 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 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) (PI.f32)) (*.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 r 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 (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 #s(literal 1/4 binary32) (*.f32 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 #s(literal 1/4 binary32) (.f32 r s)) (/.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 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 r #s(literal 1/4 binary32)) (.f32 s (PI.f32)))) (*.f32 r 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 s (/.f32 #s(literal 1/4 binary32) (*.f32 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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))) r) 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 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (.f32 r s)))))
#s(approx (/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 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(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (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 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (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 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
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(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))))
(+.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 s (.f32 r (PI.f32)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r s) (PI.f32)))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))))) (.f32 r r))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) #s(approx (* (* 1/8 r) (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (/ (* r -1/3) s)) (* s (PI))))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (/.f32 r (PI.f32)) #s(literal -4/3 binary32))) (/.f32 (fma.f32 r (.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -5/9 binary32))) (/.f32 (.f32 (.f32 #s(literal -1/8 binary32) (.f32 (/.f32 (.f32 r (.f32 r r)) (PI.f32)) #s(literal -14/81 binary32))) r) s)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)))) (*.f32 r r))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) (.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))))) (.f32 r r))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r 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 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 (fma.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/144 binary32) (/.f32 #s(literal 1/24 binary32) (PI.f32))) s))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (/.f32 (fma.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -1/1296 binary32) (.f32 #s(literal 1/144 binary32) (.f32 (/.f32 r (PI.f32)) s))) (.f32 s (*.f32 s s)))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (.f32 (.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (.f32 (PI.f32) (.f32 r (.f32 s s)))) (/.f32 #s(literal -1/1296 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) s)))

Outputs

(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))

Calls

3 calls:

33.0ms

27.0ms

(+.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
10.8%	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)))`
10.8%	1	`s`
10.8%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes111.0ms (0.7%)

Memory

-6.7MiB live, 152.3MiB allocated

Counts

106 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 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) (PI.f32)) (*.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 r 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 (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 #s(literal 1/4 binary32) (*.f32 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 #s(literal 1/4 binary32) (.f32 r s)) (/.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 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
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(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -1/48 binary32) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 #s(literal 1/8 binary32) #s(approx (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -5/72 binary32) (/.f32 (.f32 (.f32 r (.f32 r (/.f32 r (PI.f32)))) #s(literal 7/324 binary32)) s)) (neg.f32 s))) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))))
(+.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 s (.f32 r (PI.f32)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r s) (PI.f32)))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))))) (.f32 r r))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) #s(approx (* (* 1/8 r) (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (/ (* r -1/3) s)) (* s (PI))))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (/.f32 r (PI.f32)) #s(literal -4/3 binary32))) (/.f32 (fma.f32 r (.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -5/9 binary32))) (/.f32 (.f32 (.f32 #s(literal -1/8 binary32) (.f32 (/.f32 (.f32 r (.f32 r r)) (PI.f32)) #s(literal -14/81 binary32))) r) s)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)))) (*.f32 r r))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) (.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))))) (.f32 r r))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r 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 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 (fma.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/144 binary32) (/.f32 #s(literal 1/24 binary32) (PI.f32))) s))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (/.f32 (fma.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -1/1296 binary32) (.f32 #s(literal 1/144 binary32) (.f32 (/.f32 r (PI.f32)) s))) (.f32 s (*.f32 s s)))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (.f32 (.f32 r r) (+.f32 (/.f32 #s(literal 1/144 binary32) (.f32 (PI.f32) (.f32 r (.f32 s s)))) (/.f32 #s(literal -1/1296 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))))) s)))

Outputs

(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/144 binary32) (/.f32 #s(literal 1/24 binary32) (PI.f32))) s))) s)))

Calls

3 calls:

48.0ms

32.0ms

25.0ms

(+.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
10.8%	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)))`
10.8%	1	`s`
10.8%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes89.0ms (0.6%)

Memory

-1.7MiB live, 156.3MiB allocated

Counts

103 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 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) (PI.f32)) (*.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 r 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 (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
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(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (fma.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 r (.f32 r r)) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -7/324 binary32) (fma.f32 (/.f32 (.f32 r r) (.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (PI.f32))))) s)) r)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (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) (.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 (.f32 r (.f32 r r)) (.f32 s (.f32 s s))) #s(literal -1/6 binary32) (fma.f32 r (.f32 #s(literal 1/2 binary32) (/.f32 r (.f32 s s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -1/48 binary32) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 #s(literal 1/8 binary32) #s(approx (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -5/72 binary32) (/.f32 (.f32 (.f32 r (.f32 r (/.f32 r (PI.f32)))) #s(literal 7/324 binary32)) s)) (neg.f32 s))) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))))
(+.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 s (.f32 r (PI.f32)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r s) (PI.f32)))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))))) (.f32 r r))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) #s(approx (* (* 1/8 r) (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (/ (* r -1/3) s)) (* s (PI))))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (/.f32 r (PI.f32)) #s(literal -4/3 binary32))) (/.f32 (fma.f32 r (.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -5/9 binary32))) (/.f32 (.f32 (.f32 #s(literal -1/8 binary32) (.f32 (/.f32 (.f32 r (.f32 r r)) (PI.f32)) #s(literal -14/81 binary32))) r) s)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)))) (*.f32 r r))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) (.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))))) (.f32 r r))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r 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 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))

Outputs

(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))

Calls

3 calls:

30.0ms

29.0ms

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
10.8%	1	`r`
10.8%	1	`s`
10.8%	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 41 to 29 computations (29.3% saved)

regimes90.0ms (0.6%)

Memory

-12.4MiB live, 143.1MiB allocated

Counts

102 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 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) (PI.f32)) (*.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 r s)) (PI.f32)))
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(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 r #s(literal 1/4 binary32) (/.f32 (fma.f32 (.f32 r r) #s(literal -1/8 binary32) (.f32 #s(literal 1/24 binary32) (.f32 r (.f32 r (/.f32 r s))))) s)) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (fma.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 r (.f32 r r)) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -7/324 binary32) (fma.f32 (/.f32 (.f32 r r) (.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (PI.f32))))) s)) r)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (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) (.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 (.f32 r (.f32 r r)) (.f32 s (.f32 s s))) #s(literal -1/6 binary32) (fma.f32 r (.f32 #s(literal 1/2 binary32) (/.f32 r (.f32 s s))) (-.f32 #s(literal 1 binary32) (/.f32 r s)))))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -1/48 binary32) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 #s(literal 1/8 binary32) #s(approx (* (/ 1 (* s (* r (PI)))) (exp (/ r (neg s)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 r s)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/1296 binary32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -5/72 binary32) (/.f32 (.f32 (.f32 r (.f32 r (/.f32 r (PI.f32)))) #s(literal 7/324 binary32)) s)) (neg.f32 s))) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s)) r)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) s)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))))
(+.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 s (.f32 r (PI.f32)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (.f32 #s(literal -1/48 binary32) (/.f32 r (PI.f32))) (/.f32 r (.f32 s (.f32 s s))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r s) (PI.f32)))))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))))) (.f32 r r))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) #s(approx (* (* 1/8 r) (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (/ (* r -1/3) s)) (* s (PI))))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/4 binary32) (/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (/.f32 r (PI.f32)) #s(literal -4/3 binary32))) (/.f32 (fma.f32 r (.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (/.f32 r (PI.f32))) #s(literal -5/9 binary32))) (/.f32 (.f32 (.f32 #s(literal -1/8 binary32) (.f32 (/.f32 (.f32 r (.f32 r r)) (PI.f32)) #s(literal -14/81 binary32))) r) s)) (neg.f32 s))) (neg.f32 s))) (neg.f32 s)))) (*.f32 r r))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) (.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) #s(approx (/ (exp (/ ( r -1/3) s)) (* s (PI))) (fma.f32 r (/.f32 #s(literal -1/3 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))))) (.f32 r r))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(/.f32 (fma.f32 #s(approx (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r 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 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (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 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))

Calls

3 calls:

29.0ms

28.0ms

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
10.1%	1	`r`
10.1%	1	`s`
10.1%	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 41 to 29 computations (29.3% saved)

regimes181.0ms (1.1%)

Memory

9.5MiB live, 84.6MiB allocated

Counts

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

Calls

3 calls:

103.0ms

63.0ms

12.0ms

(+.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
10.1%	1	`r`
10.1%	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)))`
10.1%	1	`s`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes148.0ms (0.9%)

Memory

0.9MiB live, 76.2MiB allocated

Counts

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

Calls

3 calls:

19.0ms

14.0ms

12.0ms

(+.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
9.0%	1	`s`
9.0%	1	`r`
9.0%	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 41 to 29 computations (29.3% saved)

regimes52.0ms (0.3%)

Memory

13.6MiB live, 59.7MiB allocated

Counts

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

Calls

3 calls:

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)))

13.0ms

Results

Accuracy	Segments	Branch
9.0%	1	`s`
9.0%	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)))`
9.0%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes33.0ms (0.2%)

Memory

19.9MiB live, 57.3MiB allocated

Counts

34 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 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) (PI.f32)) (*.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 r 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 (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 #s(literal 1/4 binary32) (*.f32 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 #s(literal 1/4 binary32) (.f32 r s)) (/.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 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 r #s(literal 1/4 binary32)) (.f32 s (PI.f32)))) (*.f32 r 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 s (/.f32 #s(literal 1/4 binary32) (*.f32 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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))) r) 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 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (.f32 r s)))))
#s(approx (/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 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(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (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 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (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 #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) (.f32 (.f32 r s) (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 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))) r)
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 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 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))

Calls

3 calls:

12.0ms

(+.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)))

10.0ms

Results

Accuracy	Segments	Branch
8.9%	1	`s`
8.9%	1	`r`
8.9%	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 41 to 29 computations (29.3% saved)

regimes32.0ms (0.2%)

Memory

-26.9MiB live, 48.5MiB allocated

Counts

28 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 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) (PI.f32)) (*.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 r 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 (/.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 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
(/.f32 #s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) (/.f32 #s(literal 1/4 binary32) (*.f32 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 #s(literal 1/4 binary32) (.f32 r s)) (/.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 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 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 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) 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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r #s(approx (+ ( (/ r (* s (* s (PI)))) -1/6) (/ 1/4 (* s (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (/.f32 (.f32 r #s(literal 1/4 binary32)) (.f32 s (PI.f32)))) (*.f32 r 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 s (/.f32 #s(literal 1/4 binary32) (*.f32 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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.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 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
(/.f32 (/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 r (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))) r) 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 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (.f32 r s)))))
#s(approx (/ (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) r) r) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 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(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (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 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))

Calls

3 calls:

12.0ms

8.0ms

7.0ms

(+.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
8.9%	1	`s`
8.9%	1	`r`
8.9%	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 41 to 29 computations (29.3% saved)

regimes7.0ms (0%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

4 → 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 r (.f32 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(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32)))))

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 r (PI.f32)) 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
8.9%	1	`r`
8.9%	1	`s`
8.9%	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 41 to 29 computations (29.3% saved)

regimes5.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

2 → 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 r (*.f32 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(literal 1/4 binary32) (*.f32 (*.f32 r s) (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 r s) (PI.f32))))

Calls

3 calls:

2.0ms

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
8.9%	1	`s`
8.9%	1	`r`
8.9%	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 41 to 29 computations (29.3% saved)

regimes9.0ms (0.1%)

Memory

-36.6MiB live, 9.2MiB 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 r (.f32 s (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 r (.f32 s (PI.f32)))))

Calls

3 calls:

6.0ms

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
8.9%	1	`r`
8.9%	1	`s`
8.9%	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 41 to 29 computations (29.3% saved)

simplify17.0ms (0.1%)

Memory

27.0MiB live, 27.0MiB allocated

Algorithm

1×	egg-herbie

Rules

70×	`*-commutative_binary32`
38×	`+-commutative_binary32`
12×	`sub-neg_binary32`
10×	`neg-sub0_binary32`
10×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	1082
1	257	1082
2	269	1082
3	277	1082
4	281	1082
5	282	1082

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))))) (.f32 r r))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 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 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 #s(literal 1/8 binary32) r))) (.f32 r r))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))))) (.f32 r (*.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) 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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 #s(literal 1/144 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 (fma.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/144 binary32) (/.f32 #s(literal 1/24 binary32) (PI.f32))) s))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (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 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 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 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 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 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 r s) (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 #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) r) (*.f32 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1/4 binary32) (.f32 (.f32 r 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(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))

Outputs
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 #s(literal 1/8 binary32) r) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 r #s(literal 1/8 binary32)) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 s (PI.f32)))))) (.f32 r r))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 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 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 #s(literal 1/8 binary32) r))) (.f32 r r))
(/.f32 #s(approx (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (.f32 (.f32 r #s(literal 1/8 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))))) (.f32 r r))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
#s(approx (/ (+ (* (* (exp (/ r (* s -3))) (/ 1/8 (* s (PI)))) r) (* r (* (exp (/ r (neg s))) (/ 1/8 (* s (PI)))))) (* r r)) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 r (PI.f32)) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))))) (.f32 r (*.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 2 binary32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) 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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 #s(literal 1/144 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 2 binary32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 #s(literal 1/144 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
(+.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 2 binary32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1 binary32) (.f32 s (.f32 r (PI.f32))))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (* r (/ (+ (* r (/ -1/1296 (* s (PI)))) (/ 1/144 (PI))) (* s s))) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 (fma.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -1/144 binary32) (/.f32 #s(literal 1/24 binary32) (PI.f32))) s))) s)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (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 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 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 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 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 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 (*.f32 r s) (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 #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 s (.f32 (sqrt.f32 (PI.f32)) (*.f32 r (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 #s(literal 1/4 binary32) r) (*.f32 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(literal 1/4 binary32) (.f32 (.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 #s(literal 1/4 binary32) (.f32 s (.f32 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 r 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(literal 1/4 binary32) (.f32 (PI.f32) (.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 r (.f32 s (PI.f32)))))

soundness2.2s (13.9%)

Memory

9.8MiB live, 1 601.0MiB allocated

Rules

24 394×	`lower-fma.f64`
24 394×	`lower-fma.f32`
14 624×	`lower-fma.f64`
14 624×	`lower-fma.f32`
6 900×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	728
0	166	716
1	678	660
2	6777	660
0	8633	655
0	486	7675
1	1477	7367
2	4170	7161
0	8780	6982
0	101	692
0	156	676
1	624	610
2	6026	610
0	8055	610
0	655	8847
1	2061	8378
2	6229	8305
0	8064	8126
0	656	9894
1	2035	9462
2	6068	9395
0	8076	9172
0	25	90
0	43	90
1	142	79
2	1312	71
0	9456	71
0	242	1900
1	756	1845
2	2113	1788
3	5953	1788
0	8228	1755
0	81	441
0	132	445
1	486	413
2	4667	413
0	8153	405

Stop Event

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

Compiler

Compiled 730 to 293 computations (59.9% saved)

preprocess275.0ms (1.7%)

Memory: -30.9MiB live, 239.6MiB allocated
Compiler: Compiled 1 076 to 302 computations (71.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze69.0ms (0.4%)

sample2.7s (17.2%)

explain405.0ms (2.6%)

preprocess404.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify279.0ms (1.8%)

localize126.0ms (0.8%)

series28.0ms (0.2%)

simplify309.0ms (1.9%)

rewrite367.0ms (2.3%)

eval73.0ms (0.5%)

prune135.0ms (0.9%)

simplify391.0ms (2.5%)

localize294.0ms (1.9%)

series61.0ms (0.4%)

simplify434.0ms (2.7%)

rewrite344.0ms (2.2%)

eval241.0ms (1.5%)

prune337.0ms (2.1%)

simplify359.0ms (2.3%)

localize301.0ms (1.9%)

series60.0ms (0.4%)

simplify245.0ms (1.5%)

rewrite377.0ms (2.4%)

eval469.0ms (3%)

prune532.0ms (3.4%)

simplify371.0ms (2.3%)

localize365.0ms (2.3%)

series82.0ms (0.5%)

simplify255.0ms (1.6%)

rewrite292.0ms (1.8%)

eval166.0ms (1%)

prune260.0ms (1.6%)

regimes153.0ms (1%)

regimes136.0ms (0.9%)

regimes131.0ms (0.8%)

regimes123.0ms (0.8%)

regimes125.0ms (0.8%)

regimes125.0ms (0.8%)

regimes358.0ms (2.3%)

regimes99.0ms (0.6%)

regimes97.0ms (0.6%)

regimes105.0ms (0.7%)

regimes111.0ms (0.7%)

regimes89.0ms (0.6%)

regimes90.0ms (0.6%)

regimes181.0ms (1.1%)

regimes148.0ms (0.9%)

regimes52.0ms (0.3%)

regimes33.0ms (0.2%)

regimes32.0ms (0.2%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes9.0ms (0.1%)

simplify17.0ms (0.1%)

soundness2.2s (13.9%)

preprocess275.0ms (1.7%)

end0.0ms (0%)

Profiling