Metrics for Disney BSSRDF, PDF of scattering profile

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze64.0ms (0.4%)

Memory

-5.2MiB live, 110.4MiB 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)

sample2.6s (17.5%)

Memory

53.8MiB live, 3 057.9MiB allocated

Samples

2.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 599.0ms (36.5% of total)

ival-div: 371.0ms (22.6% of total)

ival-exp: 153.0ms (9.3% of total)

const: 120.0ms (7.3% of total)

ival-neg: 106.0ms (6.5% of total)

ival-add: 79.0ms (4.8% of total)

ival-pi: 66.0ms (4% of total)

ival-<=: 51.0ms (3.1% of total)

ival-<: 35.0ms (2.1% of total)

exact: 34.0ms (2.1% of total)

ival-and: 23.0ms (1.4% of total)

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

Bogosity

explain353.0ms (2.4%)

Memory

-5.7MiB live, 714.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
2	5	(6.911350250244141 1478.872314453125)	2	(0.0004438619944266975 0.01759035885334015)	`(exp.f32 (/.f32 (neg.f32 r) s))`
1	0	-	0	-	`(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))`
1	6	(10.493701934814453 19122.892578125)	1	(6.911350250244141 1478.872314453125)	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`
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	0	-	0	-	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
0	0	-	0	-	`#s(literal 3/4 binary32)`
0	0	-	0	-	`(/.f32 (neg.f32 r) s)`
0	0	-	0	-	`#s(literal 1/4 binary32)`
0	0	-	0	-	`(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)`
0	0	-	0	-	`(*.f32 #s(literal 3 binary32) s)`
0	0	-	0	-	`(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)`
0	0	-	0	-	`#s(literal 6 binary32)`
0	0	-	0	-	`r`
0	0	-	0	-	`#s(literal 3 binary32)`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`
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) (*.f32 #s(literal 3 binary32) s)))`	sensitivity	6	2
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) s))`	sensitivity	5	5
`/.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))`	u/n	1	0
↳	`(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))`	underflow	226
↳	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`	underflow	226

Confusion

	Predicted +	Predicted -
+	2	0
-	6	248

Precision

0.25

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	6	5	243

Precision?

0.15384615384615385

Recall?

1.0

Freqs

test

number	freq
0	248
1	5
2	2
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

128.0ms

512×

valid

Compiler

Compiled 331 to 79 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 27.0ms (36.5% of total)

ival-add: 16.0ms (21.6% of total)

ival-div: 14.0ms (18.9% of total)

ival-exp: 11.0ms (14.9% of total)

ival-neg: 3.0ms (4.1% of total)

ival-pi: 2.0ms (2.7% of total)

ival-true: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

preprocess278.0ms (1.9%)

Memory

-36.2MiB live, 346.9MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Status

Accuracy

Program

▶

99.5%

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify259.0ms (1.7%)

Memory

21.1MiB live, 334.9MiB 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)

localize93.0ms (0.6%)

Memory

-21.8MiB live, 151.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2578125	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy	0.26953125	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy	0.27734375	(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy	0.33203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)

Samples

47.0ms

256×

valid

Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 14.0ms (38.5% of total)

ival-mult: 14.0ms (38.5% of total)

ival-exp: 4.0ms (11% of total)

ival-pi: 1.0ms (2.7% of total)

ival-add: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

series29.0ms (0.2%)

Memory

24.6MiB live, 61.1MiB 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 6 binary32) (PI.f32)) s) r)>
#<alt (.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)>

Outputs
#<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 (/ (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 (/ (+ (* -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 (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 (/ 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 (/ (- (* 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 (/ (+ (* -1/8 (/ 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 (/ (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 (* 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 (* 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 (* 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 (/ (- (* 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 (/ (+ (* -1/24 (/ 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 (* 1/8 (/ (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 (* 1/8 (/ (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 (* 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 (/ 1/8 (* 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 (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r 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 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>

Calls

39 calls:

Time	Variable		Point	Expression
7.0ms	s	@	0	(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 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)))
3.0ms	s	@	0	(* (* (* 6 (PI)) s) r)
2.0ms	r	@	-inf	(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
1.0ms	r	@	0	(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))

simplify641.0ms (4.3%)

Memory

-30.2MiB live, 363.8MiB 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	5949	1788
0	8220	1755

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite370.0ms (2.5%)

Memory

15.4MiB live, 488.6MiB 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 6 binary32) (PI.f32)) s) r)
(.f32 (.f32 (*.f32 #s(literal 2 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)))))
(fma.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 #s(literal 1 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))))
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(-.f32 #s(literal 0 binary32) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))
(/.f32 (.f32 s (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 r s))))
(/.f32 (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))) #s(literal -1 binary32))
(.f32 r (.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 r (neg.f32 (.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))
(.f32 (neg.f32 r) (.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)))
(.f32 s (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (*.f32 r s)))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 s (PI.f32)) r))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) (*.f32 r s)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 r s))
(.f32 (.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) r)
(.f32 (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r)) #s(literal 1 binary32))
(.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))

eval81.0ms (0.5%)

Memory: -0.4MiB live, 115.3MiB allocated
Compiler: Compiled 26 889 to 1 724 computations (93.6% saved)

prune188.0ms (1.3%)

Memory

2.0MiB live, 244.3MiB allocated

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	678	24	702
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	679	24	703

Accuracy

99.8%

Counts

703 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(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)))))
	98.3%	(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)))))
	9.2%	(/.f32 (-.f32 (pow.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)) #s(literal 3 binary32)) (pow.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)) #s(literal 3 binary32))) (fma.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)) (/.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)) (fma.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)) (/.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)) (.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)) (/.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))))))
	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r)) (*.f32 (PI.f32) #s(literal 6 binary32))) s))
▶	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 r #s(literal 4/3 binary32))))
▶	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (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))))
	10.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #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 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	10.5%	(+.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 (/.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 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	9.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #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))))))
	9.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #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)))))))
	98.3%	(+.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	10.0%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal 1/48 binary32)) (.f32 #s(literal -1/16 binary32) (/.f32 r (PI.f32)))) s)) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (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)))
	99.5%	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))
▶	99.5%	(.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)))
	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 (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))
▶	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))) s))
	10.0%	#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 (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	99.5%	#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 #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) #s(literal -1/3 binary32))) (.f32 s (PI.f32))))) r))
▶	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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))))))
	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 (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
	99.4%	#s(approx (+ (/ (* 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) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))

Compiler

Compiled 2 050 to 1 004 computations (51% saved)

simplify232.0ms (1.6%)

Memory

26.0MiB live, 260.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff	160	(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
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 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
cost-diff	0	(PI.f32)
cost-diff	0	(*.f32 s (PI.f32))
cost-diff	0	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
cost-diff	544	(.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)))
cost-diff	0	(/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32)))))
cost-diff	0	(/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 s (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 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))) s))
cost-diff	640	(fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))))
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 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) 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	352	(/.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 r #s(literal 4/3 binary32)))
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 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 r #s(literal 4/3 binary32))))

Rules

4 920×	`lower-*.f64`
4 880×	`lower-*.f32`
4 276×	`lower-fma.f64`
4 272×	`lower-fma.f32`
3 268×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	660
0	137	670
1	257	650
2	679	615
3	2282	594
4	4209	594
5	4465	594
6	4879	594
7	5637	594
8	6015	570
9	6919	570
0	8232	564

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

localize253.0ms (1.7%)

Memory

4.6MiB live, 526.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2578125	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy	0.27734375	(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy	0.33203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy	0.36328125	(/.f32 #s(literal -1/3 binary32) s)
accuracy	0.08499697276404278	(exp.f32 (/.f32 r (neg.f32 s)))
accuracy	0.26953125	(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy	0.28125	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
accuracy	0.33203125	(*.f32 s (PI.f32))
accuracy	0.37890625	(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
accuracy	0.6657766283533081	(fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
accuracy	14.609223906270996	(fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))))
accuracy	28.77347160553034	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))) s))
accuracy	0.25	(.f32 r (.f32 s (PI.f32)))
accuracy	0.26450877155338326	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
accuracy	0.33203125	(*.f32 s (PI.f32))
accuracy	29.204463299659192	#s(approx (+ (/ (* 1/4 (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	0.2578125	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy	0.26953125	(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy	0.33203125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy	0.35546875	(*.f32 r #s(literal 4/3 binary32))

Samples

161.0ms

256×

valid

Compiler

Compiled 624 to 74 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-div: 48.0ms (37.9% of total)

ival-mult: 33.0ms (26% of total)

const: 16.0ms (12.6% of total)

ival-exp: 14.0ms (11% of total)

ival-add: 11.0ms (8.7% of total)

ival-neg: 3.0ms (2.4% of total)

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

exact: 1.0ms (0.8% of total)

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

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

series77.0ms (0.5%)

Memory

-27.0MiB live, 88.8MiB allocated

Counts

26 → 528

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 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 r #s(literal 4/3 binary32))))>
#<alt (/.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 r #s(literal 4/3 binary32)))>
#<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 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))>
#<alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 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 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 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 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))) s))>
#<alt (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))) s)>
#<alt (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32)))))>
#<alt (.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)))>
#<alt (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))>
#<alt (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)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))>
#<alt (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))>
#<alt (*.f32 r #s(literal 4/3 binary32))>
#<alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)>
#<alt (/.f32 r (*.f32 s #s(literal -3 binary32)))>
#<alt (.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)>
#<alt (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))>
#<alt (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))>
#<alt (exp.f32 (/.f32 r (neg.f32 s)))>
#<alt (/.f32 #s(literal -1/3 binary32) s)>
#<alt (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)>

Outputs
#<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 (/ (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 (/ (+ (* -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 (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 (/ 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 (/ (- (* 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 (/ (+ (* -1/24 (/ 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 (* 1/8 (/ (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 (* 1/8 (/ (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 (* 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 (/ 1/8 (* 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 (/ 1/8 (* 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 (/ (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 (* 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 (* 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 (* 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 (/ (- (* 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 1/4>
#<alt (+ 1/4 (* -1/4 (/ r s)))>
#<alt (+ 1/4 (* r (- (* 1/8 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))>
#<alt (+ 1/4 (* r (- (* r (+ (* -1/24 (/ r (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 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 (* 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 (* 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 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 1/4>
#<alt (+ 1/4 (* -1/4 (/ r s)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1/8 (/ (pow r 2) s)) (* 1/4 r)) s)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow r 3) s)) (* 1/8 (pow r 2))) s)) (* 1/4 r)) s)))>
#<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 (/ (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 (/ (+ (* -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 (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 (/ 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 (/ (- (* 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 (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* 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 (* 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 (* 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 (* 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 (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* 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 (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 3) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (/ 5/72 (* r (* (pow s 2) (PI)))) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (/ 1/6 (* (pow r 2) (* s (PI)))))))>
#<alt (* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (PI))))) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 3))>
#<alt (/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))))) (pow s 3))>
#<alt (/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 3))>
#<alt (/ 1/4 (* r (PI)))>
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#<alt (/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)>
#<alt (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)>
#<alt (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)>
#<alt (/ -1/6 (* s (PI)))>
#<alt (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))>
#<alt (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))>
#<alt (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (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 (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 (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<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>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>

Calls

132 calls:

Time	Variable		Point	Expression
6.0ms	r	@	0	(* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))
3.0ms	s	@	0	(* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))
2.0ms	r	@	inf	(/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))
1.0ms	r	@	-inf	(* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))
1.0ms	r	@	0	(/ (* r r) (* s (* s (* s (PI)))))

simplify302.0ms (2%)

Memory

36.4MiB live, 509.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 538×	`lower-fma.f64`
10 538×	`lower-fma.f32`
5 058×	`lower-*.f64`
5 058×	`lower-*.f32`
3 206×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	544	7137
1	1639	6805
2	4663	6666
0	8123	6509

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(/ 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 (/ (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 (/ (+ (* -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 (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 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 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))))
(/ (+ (* -1/24 (/ 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)
(* 1/8 (/ (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)))))
(* 1/8 (/ (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 (* 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)
(/ 1/8 (* 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))
(/ 1/8 (* 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 (/ (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 (* 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 (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/ 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 (/ (- (* 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))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (* r (- (* 1/8 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1/4 (* r (- (* r (+ (* -1/24 (/ r (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (+ (* -1/4 (/ r s)) (* 1/8 (/ (pow r 2) (pow s 2)))))
(+ 1/4 (+ (* -1/4 (/ r s)) (+ (* -1/24 (/ (pow r 3) (pow s 3))) (* 1/8 (/ (pow r 2) (pow s 2))))))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (* -1 (/ (+ (* -1/8 (/ (pow r 2) s)) (* 1/4 r)) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow r 3) s)) (* 1/8 (pow r 2))) s)) (* 1/4 r)) s)))
(/ 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 (/ (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 (/ (+ (* -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 (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 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 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))
(/ 1/4 (* 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 (* 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 (* 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 (* 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 (* 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 (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(/ 1/4 (* r (PI)))
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 3) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (/ 5/72 (* r (* (pow s 2) (PI)))) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (/ 1/6 (* (pow r 2) (* s (PI)))))))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (PI))))) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 3))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))))) (pow s 3))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 3))
(/ 1/4 (* r (PI)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI))))
(- (+ (* -7/324 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI))))
(/ 1/4 (* r (PI)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(+ (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (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 (/ (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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(/ 1/8 (* s (PI)))
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(/ (+ (* 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 (/ (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 (/ (+ (* -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 (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))))
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(/ 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))))
(/ (+ (* -1/24 (/ 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)
(* 1/8 (/ (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)))))
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(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
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(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
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(/ 1/8 (* r (* s (PI))))
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(/ (- (+ (* 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)
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
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(* -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))
(* 4/3 r)
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(* -1/3 (/ r s))
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(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 2 (* r (* s (PI))))
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(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(/ -1/6 (* s (PI)))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
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(* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))
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(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
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(/ -1/6 (* s (PI)))
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(/ -1/6 (* s (PI)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(/ -1/3 s)
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(/ -1/3 s)
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(/ -1/3 s)
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(* 6 (* r (* s (PI))))
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(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
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(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))

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

rewrite653.0ms (4.4%)

Memory

-180.9MiB live, 465.5MiB allocated

Rules

5 420×	`lower-*.f64`
5 380×	`lower-*.f32`
3 104×	`lower-fma.f64`
3 100×	`lower-fma.f32`
2 856×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	404
0	137	414
1	496	356
2	5450	356
0	8316	356

Stop Event

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

Counts

26 → 1 355

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

Outputs
(+.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32)))))
(+.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32)))))
(pow.f32 (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 r (.f32 #s(literal 6 binary32) (.f32 s (PI.f32)))))) (fma.f32 #s(literal 1/4 binary32) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 #s(literal 6 binary32) (.f32 s (PI.f32))))) (.f32 (.f32 (.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal 3/4 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (-.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32))))) (pow.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) #s(literal 2 binary32))) (+.f32 (pow.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32))))) (-.f32 (pow.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 r #s(literal 4/3 binary32)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (.f32 r #s(literal 4/3 binary32))) (/.f32 (.f32 (.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 #s(literal 6 binary32) (.f32 s (PI.f32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 s (PI.f32)) (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32))))) (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32)))))) (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32))))) (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32)))))
(fma.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32))))) (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 4/3 binary32) (.f32 r (.f32 #s(literal 6 binary32) (.f32 s (PI.f32)))))) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 #s(literal 3/4 binary32) (.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 s (PI.f32)))))) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 3/4 binary32) r)) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 3/4 binary32) (.f32 r (.f32 #s(literal 6 binary32) (.f32 s (PI.f32))))) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32)))))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (.f32 r #s(literal 4/3 binary32))) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 #s(literal 6 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 3/4 binary32) r) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 #s(literal 6 binary32) (.f32 s (PI.f32)))) (pow.f32 (/.f32 r #s(literal 3/4 binary32)) #s(literal -1 binary32)) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 #s(literal 6 binary32) (.f32 s (PI.f32))))) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #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 (PI.f32))) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r)) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #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 (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)) (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 r (.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 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32)))))
(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 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32)))))
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(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal -1 binary32) s) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (neg.f32 s))) #s(literal 1/6 binary32) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (PI.f32)))))
(fma.f32 (pow.f32 (neg.f32 (.f32 (PI.f32) #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (PI.f32)))))
(-.f32 (/.f32 (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32))))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))))) (/.f32 (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32)))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (PI.f32))))) (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32)))))) (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32)))) (.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (PI.f32)))) (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (*.f32 s (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32)))) (-.f32 (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32)))))))
(/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32)))) (.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (PI.f32)))) (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32))))))) (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (PI.f32))))) (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32)))) (.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (PI.f32)))) (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32))))))) (+.f32 (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32)))) (-.f32 (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32))))) (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) #s(literal -1/6 binary32)) (.f32 (.f32 s (.f32 s (PI.f32))) (*.f32 s (PI.f32)))))))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32))))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))) (.f32 (.f32 s (PI.f32)) (.f32 r #s(literal 5/72 binary32)))) (.f32 (.f32 s (PI.f32)) (.f32 s (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1 binary32) (.f32 s (.f32 s (PI.f32))) (.f32 (.f32 (.f32 s (PI.f32)) #s(literal -6 binary32)) (.f32 r #s(literal 5/72 binary32)))) (.f32 (.f32 (.f32 s (PI.f32)) #s(literal -6 binary32)) (.f32 s (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 s (.f32 s (PI.f32))) (.f32 (.f32 (PI.f32) (neg.f32 s)) (.f32 r #s(literal 5/72 binary32)))) (.f32 (.f32 (PI.f32) (neg.f32 s)) (.f32 s (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (.f32 s (.f32 s (PI.f32))) (.f32 (PI.f32) (.f32 r #s(literal 5/72 binary32)))) (.f32 (PI.f32) (.f32 s (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (PI.f32)) (.f32 (.f32 s (.f32 s (PI.f32))) #s(literal -1/6 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (*.f32 s (PI.f32))))
(/.f32 (fma.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 (.f32 s (PI.f32)) #s(literal -6 binary32)) (.f32 (.f32 s (.f32 s (PI.f32))) #s(literal 1 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 (*.f32 s (PI.f32)) #s(literal -6 binary32))))
(/.f32 (fma.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 (PI.f32) (neg.f32 s)) (.f32 (.f32 s (.f32 s (PI.f32))) #s(literal 1/6 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (*.f32 (PI.f32) (neg.f32 s))))
(/.f32 (fma.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32) (.f32 (.f32 s (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) s))) (.f32 (.f32 s (*.f32 s (PI.f32))) (PI.f32)))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32)))) (.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (PI.f32)))) (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32)))))))) (neg.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (PI.f32))))) (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (*.f32 s (PI.f32))))))))
(/.f32 (neg.f32 (-.f32 (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32)))))) (neg.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))))))
(/.f32 (-.f32 (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32)))) (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32)))))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (*.f32 s (PI.f32))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32)))) (.f32 (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (PI.f32)))) (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32))))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (PI.f32))))) (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32))))))))
(.f32 (-.f32 (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))))))
(neg.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 s (PI.f32)) #s(literal -6 binary32))) #s(literal -1 binary32)))
(pow.f32 (.f32 (.f32 s (PI.f32)) #s(literal -6 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (.f32 s (PI.f32)) #s(literal -6 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal -1/6 binary32) s)) #s(literal -1 binary32))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/.f32 #s(literal -1/6 binary32) (neg.f32 (*.f32 (PI.f32) (neg.f32 s))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 s (PI.f32)) #s(literal -6 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 s (PI.f32)) #s(literal -6 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal -1/6 binary32) s)))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (neg.f32 s)))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 s (PI.f32)) #s(literal -6 binary32))))
(/.f32 (/.f32 #s(literal -1/6 binary32) s) (PI.f32))
(/.f32 (neg.f32 (/.f32 #s(literal -1/6 binary32) s)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) s)
(/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) s) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) s) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))
(.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (neg.f32 s))))
(.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (neg.f32 (.f32 (PI.f32) #s(literal 6 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) #s(literal 6 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) #s(literal -1/6 binary32))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal -1/6 binary32) s))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal -1 binary32) s))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (neg.f32 s))) #s(literal 1/6 binary32))
(.f32 (pow.f32 (neg.f32 (.f32 (PI.f32) #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 r)) (/.f32 #s(literal -1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 r))) (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 r) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 r)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r s)))
(neg.f32 (/.f32 #s(literal 1/3 binary32) s))
(exp.f32 (.f32 (log.f32 (.f32 s #s(literal -3 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 s #s(literal -3 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal -1/3 binary32) s)
(/.f32 #s(literal 1 binary32) (*.f32 s #s(literal -3 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal -3 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1/3 binary32) (neg.f32 s))
(/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -3 binary32))
(/.f32 #s(literal -1 binary32) (*.f32 s #s(literal 3 binary32)))
(*.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/3 binary32) s))
(*.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/3 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1/3 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/3 binary32) s))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(.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 r (*.f32 s (PI.f32))))
(.f32 (.f32 s (PI.f32)) (*.f32 #s(literal 6 binary32) r))
(.f32 (.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32))
(.f32 (.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 r s))
(.f32 (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))) r)
(.f32 (.f32 r s) (*.f32 (PI.f32) #s(literal 6 binary32)))
(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))
(.f32 (.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) s)

eval324.0ms (2.2%)

Memory: 58.6MiB live, 458.7MiB allocated
Compiler: Compiled 86 970 to 4 709 computations (94.6% saved)

prune343.0ms (2.3%)

Memory

-16.5MiB live, 708.7MiB allocated

Pruning

52 alts after pruning (50 fresh and 2 done)

	Pruned	Kept	Total
New	2 447	43	2 490
Fresh	12	7	19
Picked	3	2	5
Done	0	0	0
Total	2 462	52	2 514

Accuracy

99.8%

Counts

2 514 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(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)))))
	98.3%	(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 3/4 binary32) (.f32 r (.f32 #s(literal 6 binary32) (.f32 s (PI.f32))))) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32)))))
	99.4%	(/.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (.f32 r #s(literal 4/3 binary32))) (/.f32 (.f32 (.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 #s(literal 6 binary32) (.f32 s (PI.f32))))) (.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32))))) (*.f32 r #s(literal 4/3 binary32)))
	9.2%	(/.f32 (-.f32 (pow.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)) #s(literal 3 binary32)) (pow.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)) #s(literal 3 binary32))) (fma.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)) (/.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)) (fma.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)) (/.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)) (.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)) (/.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))))))
	99.1%	(/.f32 (.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) (.f32 (.f32 r r) (.f32 s (PI.f32))))
	99.5%	(+.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	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 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32))) #s(literal 6 binary32)))) (*.f32 r #s(literal 4/3 binary32))))
	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (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))))
	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)) #s(approx (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (/.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)))
	10.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (/.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)))
	9.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	9.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (-.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
	10.5%	(+.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 (/.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 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	8.9%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	99.5%	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))
	8.9%	(.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 #s(approx (exp (/ r (neg s))) #s(literal 1 binary32)) r)))
	99.5%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	99.4%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1/3 binary32) s) r)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	99.5%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
▶	99.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.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 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32))))))) s))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s (PI.f32)) #s(literal -6 binary32)))))) s))
✓	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))) s))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
	8.5%	#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 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
	10.0%	#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 (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	8.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (+.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
	10.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (PI.f32))) (.f32 s (.f32 s s)))) 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 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
▶	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (.f32 (.f32 r r) (-.f32 (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 (-.f32 (/.f32 #s(literal -5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 r (PI.f32)))) (/.f32 #s(literal 1/6 binary32) (.f32 r (*.f32 s (PI.f32)))))) r)))) s))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (.f32 (.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 r (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (.f32 r r) (PI.f32)))) (+.f32 (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 r (.f32 r (.f32 s (PI.f32)))))))))) s))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)))
▶	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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))))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (pow.f32 (/.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32))))
	10.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) s) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))))
▶	99.4%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))

Compiler

Compiled 3 334 to 1 771 computations (46.9% saved)

simplify267.0ms (1.8%)

Memory

-29.8MiB live, 263.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))
cost-diff	0	(.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))))
cost-diff	0	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
cost-diff	0	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
cost-diff	0	(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (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 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32))))))) s))
cost-diff	288	(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32)))))))
cost-diff	704	(+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32))))))
cost-diff	0	(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))
cost-diff	0	#s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))
cost-diff	0	(/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
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 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s))
cost-diff	192	(/.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s)
cost-diff	512	(.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))))

Rules

5 682×	`lower-*.f64`
5 658×	`lower-*.f32`
5 636×	`lower-fma.f64`
5 632×	`lower-fma.f32`
2 758×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	820
0	152	850
1	320	825
2	814	742
3	2393	724
4	3766	724
5	3994	724
6	4387	724
7	5130	724
8	5313	696
9	6061	696
10	6306	696
11	6352	696
12	6364	696
13	6756	696
14	6822	696
15	6830	696
16	6830	696
0	8094	682

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) 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) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s)
(.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) #s(literal -1/3 binary32))) (.f32 r (PI.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) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
r
(neg.f32 s)
s
(*.f32 r (PI.f32))
(PI.f32)
(/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(/.f32 r s)
#s(literal -1/3 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 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)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
(/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s)
#s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r (PI.f32))
r
(PI.f32)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.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 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32))))))) s))
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32))))))) s)
(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1 binary32)
(PI.f32)
(/.f32 #s(literal 1/4 binary32) r)
#s(literal 1/4 binary32)
r
(+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32))))))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))
#s(literal 5/72 binary32)
(.f32 s (.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (*.f32 s (PI.f32)))))
(.f32 #s(literal -7/324 binary32) (.f32 r r))
#s(literal -7/324 binary32)
(*.f32 r r)
(.f32 s (.f32 s (*.f32 s (PI.f32))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
(.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))))
#s(literal 1/8 binary32)
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
r
(neg.f32 s)
s
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(/.f32 r s)
#s(literal -1/3 binary32)
(.f32 r (.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(PI.f32)

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

localize262.0ms (1.8%)

Memory

30.8MiB live, 543.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08499697276404278	(exp.f32 (/.f32 r (neg.f32 s)))
accuracy	0.25	(.f32 r (.f32 s (PI.f32)))
accuracy	0.33203125	(*.f32 s (PI.f32))
accuracy	0.6641778946058927	(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
accuracy	0.5058383502115775	(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (*.f32 s (PI.f32)))))
accuracy	0.7176999011840511	(fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
accuracy	14.173912844090882	(+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32))))))
accuracy	28.77347160553034	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32))))))) s))
accuracy	0.359375	(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
accuracy	0.37890625	(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
accuracy	26.7974019310202	#s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))
accuracy	28.77347160553034	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
accuracy	0	(PI.f32)
accuracy	0.26450877155338326	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
accuracy	0.37728500976844204	(.f32 (.f32 r s) (PI.f32))
accuracy	29.204463299659192	#s(approx (+ (/ (* 1/4 (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	0.07054035166486583	(/.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s)
accuracy	0.08499697276404278	(exp.f32 (/.f32 r (neg.f32 s)))
accuracy	0.3203125	(*.f32 r (PI.f32))
accuracy	0.6641778946058927	(*.f32 (/.f32 r s) #s(literal -1/3 binary32))

Samples

165.0ms

256×

valid

Compiler

Compiled 662 to 94 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-mult: 50.0ms (36.3% of total)

ival-div: 45.0ms (32.7% of total)

const: 16.0ms (11.6% of total)

ival-add: 12.0ms (8.7% of total)

ival-exp: 9.0ms (6.5% of total)

ival-neg: 2.0ms (1.5% 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)

series38.0ms (0.3%)

Memory

-18.2MiB live, 56.9MiB allocated

Counts

30 → 648

Calls

Call 1

Inputs
#<alt (.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))))>
#<alt (/.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s)>
#<alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s))>
#<alt (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (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 (.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 #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))>
#<alt (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s)>
#<alt #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))>
#<alt (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))>
#<alt (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32))))))>
#<alt (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.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 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32))))))) s))>
#<alt (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32))))))) s)>
#<alt #s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))>
#<alt (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))>
#<alt (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))))>
#<alt (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))>
#<alt (*.f32 (/.f32 r s) #s(literal -1/3 binary32))>
#<alt (*.f32 r (PI.f32))>
#<alt (exp.f32 (/.f32 r (neg.f32 s)))>
#<alt (PI.f32)>
#<alt (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))>
#<alt (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))>
#<alt (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))>
#<alt (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (*.f32 s (PI.f32)))))>
#<alt (*.f32 s (PI.f32))>
#<alt (.f32 r (.f32 s (PI.f32)))>

Outputs
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 3) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) r))>
#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) r))>
#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) r))>
#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) r))>
#<alt (* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))>
#<alt (* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))>
#<alt (* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))>
#<alt (* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))>
#<alt (* 1/8 (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))))>
#<alt (* 1/8 (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))))>
#<alt (* 1/8 (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))))>
#<alt (* 1/8 (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))>
#<alt (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI))))>
#<alt (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI))))>
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#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/6 (/ r s)))>
#<alt (+ 1/4 (* r (- (* 5/72 (/ r (pow s 2))) (* 1/6 (/ 1 s)))))>
#<alt (+ 1/4 (* r (- (* r (+ (* -7/324 (/ r (pow s 3))) (* 5/72 (/ 1 (pow s 2))))) (* 1/6 (/ 1 s)))))>
#<alt (* 1/8 (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))))>
#<alt (* 1/8 (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))))>
#<alt (* 1/8 (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))))>
#<alt (* 1/8 (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))))>
#<alt (* 1/8 (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))))>
#<alt (* 1/8 (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))))>
#<alt (* 1/8 (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))))>
#<alt (* 1/8 (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))))>
#<alt (* 1/8 (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))))>
#<alt (* 1/8 (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))))>
#<alt (* 1/8 (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))))>
#<alt (* 1/8 (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/8 (/ (+ (* -1 r) (* -1/3 r)) s)))>
#<alt (+ 1/4 (+ (* 1/8 (/ (+ (* -1 r) (* -1/3 r)) s)) (* 1/8 (/ (+ (* 1/18 (pow r 2)) (* 1/2 (pow r 2))) (pow s 2)))))>
#<alt (+ 1/4 (+ (* 1/8 (/ (+ (* -1 r) (* -1/3 r)) s)) (+ (* 1/8 (/ (+ (* -1/6 (pow r 3)) (* -1/162 (pow r 3))) (pow s 3))) (* 1/8 (/ (+ (* 1/18 (pow r 2)) (* 1/2 (pow r 2))) (pow s 2))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/8 (/ (+ r (* 1/3 r)) s)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1/8 (/ (+ (* 1/18 (pow r 2)) (* 1/2 (pow r 2))) s)) (* 1/8 (+ r (* 1/3 r)))) s)))>
#<alt (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (+ (* 1/162 (pow r 3)) (* 1/6 (pow r 3))) s)) (* 1/8 (+ (* 1/18 (pow r 2)) (* 1/2 (pow r 2))))) s)) (* 1/8 (+ r (* 1/3 r)))) s)))>
#<alt 2>
#<alt (+ 2 (* -4/3 (/ r s)))>
#<alt (+ 2 (* r (- (* 5/9 (/ r (pow s 2))) (* 4/3 (/ 1 s)))))>
#<alt (+ 2 (* r (- (* r (+ (* -14/81 (/ r (pow s 3))) (* 5/9 (/ 1 (pow s 2))))) (* 4/3 (/ 1 s)))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt 2>
#<alt (+ 2 (+ (* -1 (/ r s)) (* -1/3 (/ r s))))>
#<alt (+ 2 (+ (* -1 (/ r s)) (+ (* -1/3 (/ r s)) (+ (* 1/18 (/ (pow r 2) (pow s 2))) (* 1/2 (/ (pow r 2) (pow s 2)))))))>
#<alt (+ 2 (+ (* -1 (/ r s)) (+ (* -1/3 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (+ (* 1/18 (/ (pow r 2) (pow s 2))) (* 1/2 (/ (pow r 2) (pow s 2)))))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ r (* 1/3 r)) s)))>
#<alt (+ 2 (* -1 (/ (+ r (+ (* -1 (/ (+ (* 1/18 (pow r 2)) (* 1/2 (pow r 2))) s)) (* 1/3 r))) s)))>
#<alt (+ 2 (* -1 (/ (+ r (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (pow r 3)) (* 1/6 (pow r 3))) s)) (+ (* 1/18 (pow r 2)) (* 1/2 (pow r 2)))) s)) (* 1/3 r))) s)))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt 1>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (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 (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 (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<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>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))>
#<alt (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))>
#<alt (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))>
#<alt (* 5/72 (/ r (* (pow s 2) (PI))))>
#<alt (* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))>
#<alt (* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))>
#<alt (* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))>
#<alt (* 5/72 (/ r (* (pow s 2) (PI))))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))>
#<alt (* 5/72 (/ r (* (pow s 2) (PI))))>
#<alt (/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)>
#<alt (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)>
#<alt (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)>
#<alt (/ -1/6 (* s (PI)))>
#<alt (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))>
#<alt (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))>
#<alt (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>

Calls

162 calls:

Time	Variable		Point	Expression
4.0ms	r	@	-inf	(* 1/8 (+ (/ (exp (/ r (neg s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))))
1.0ms	r	@	-inf	(/ (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (* r (* s (PI))))
1.0ms	r	@	inf	(* 1/8 (+ (/ (exp (/ r (neg s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))))
1.0ms	s	@	0	(/ (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (* r (* s (PI))))
1.0ms	r	@	inf	(/ (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (* r (* s (PI))))

simplify274.0ms (1.8%)

Memory

17.5MiB live, 443.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 296×	`lower-fma.f64`
10 296×	`lower-fma.f32`
5 384×	`lower-*.f64`
5 384×	`lower-*.f32`
3 248×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	587	9796
1	1726	9405
2	4999	9340
0	8109	9102

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

Outputs
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 3) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) r))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) r)
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) r))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) r)
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) r))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) r)
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) r))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) r)
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) r)
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) r)
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) r)
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) r)
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))))
(.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))))
(.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))))
(.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))))
(* 1/8 (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))))
(.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)))
(- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI))))
(+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)))
(- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (.f32 (.f32 r r) #s(literal -14/81 binary32)) (PI.f32)) (.f32 s (.f32 s s))) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s))))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)))
(+ (* -1 (/ (+ (* -1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s)) (* 1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) (PI.f32))) s)) s)) s))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 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 (PI.f32) (.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.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 (PI.f32) (.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) (*.f32 r s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) (*.f32 r s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) (*.f32 r s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (PI)) (/ (exp (* -1/3 (/ r s))) (PI))) (* r s)))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) (*.f32 r s))
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s)))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) (*.f32 r s))
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s)))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) (*.f32 r s))
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s)))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) (*.f32 r s))
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s)))
(/.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (-.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (PI.f32))) (*.f32 r s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))) s))
(.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))) s))
(.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))) s))
(.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI)))) s))
(.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s s))))
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)) (/.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) s)) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (.f32 s s)))
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (.f32 (.f32 r r) #s(literal -14/81 binary32)) (PI.f32)) (.f32 s (.f32 s s))) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 r (PI.f32)) s)))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)) (/.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) s)) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (.f32 s s)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) (PI.f32)) s) (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
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(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 r r) s) r) s))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 r (.f32 r #s(literal 1/2 binary32)) (/.f32 (.f32 r (.f32 #s(literal -1/6 binary32) (.f32 r r))) s)) s)) s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
(* 5/72 (/ r (* (pow s 2) (PI))))
(.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 (PI.f32) (*.f32 s s))))
(* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 (*.f32 r (PI.f32)) s))))
(* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 (*.f32 r (PI.f32)) s))))
(* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 (*.f32 r (PI.f32)) s))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 (PI.f32) (*.f32 s s))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(.f32 r (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 r (PI.f32)) s)) (/.f32 #s(literal -5/72 binary32) (.f32 (PI.f32) (*.f32 s s))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(.f32 r (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 r (PI.f32)) s)) (/.f32 #s(literal -5/72 binary32) (.f32 (PI.f32) (*.f32 s s))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(.f32 r (neg.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 r (PI.f32)) s)) (/.f32 #s(literal -5/72 binary32) (.f32 (PI.f32) (*.f32 s s))))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 (PI.f32) (*.f32 s s))))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (.f32 s s))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (.f32 s s))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (.f32 s s))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
(/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
(/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))
(* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
(* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
(* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (PI.f32) (.f32 s (*.f32 s s))))
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)
(* r (* s (PI)))
(.f32 (.f32 r (PI.f32)) s)

rewrite537.0ms (3.6%)

Memory

-9.4MiB live, 395.0MiB allocated

Rules

5 478×	`lower-*.f64`
5 454×	`lower-*.f32`
4 668×	`lower-/.f64`
4 638×	`lower-/.f32`
3 764×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	688
0	152	682
1	683	631
2	7919	631
0	8195	624

Stop Event

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

Counts

30 → 743

Calls

Call 1

Inputs
(.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))))
(/.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s))
(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 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 1/4 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)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
(/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s)
#s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))
(+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.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 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32))))))) s))
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (.f32 s (PI.f32))))))) s)
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
(.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))))
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(*.f32 r (PI.f32))
(exp.f32 (/.f32 r (neg.f32 s)))
(PI.f32)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (.f32 s (*.f32 s (PI.f32)))))
(*.f32 s (PI.f32))
(.f32 r (.f32 s (PI.f32)))

Outputs
(+.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32)))) (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32))))
(+.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (PI.f32))) (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (PI.f32))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) #s(literal 1/8 binary32)) (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) #s(literal 1/8 binary32) (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (PI.f32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32) (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32)))))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) #s(literal 1/8 binary32)) (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))))
(fma.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32))))
(fma.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32)))))
(/.f32 (+.f32 (pow.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (PI.f32))) #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32)))) (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32)))) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (PI.f32))) (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (PI.f32)))) (.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32)))) (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (PI.f32)))))))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32)))) (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))))) (.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (PI.f32))) (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (PI.f32))))) (-.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32)))) (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32)) (.f32 (.f32 r (PI.f32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 3 binary32)))) (-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32))))) (/.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32)))))) (/.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 (PI.f32) (*.f32 r (PI.f32)))))))
(/.f32 (.f32 #s(literal 1/8 binary32) (-.f32 (/.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32))))) (/.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32))))))) (/.f32 (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (PI.f32))))
(/.f32 (.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32)) (.f32 (.f32 r (PI.f32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32)))))
(/.f32 (.f32 (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 3 binary32))) #s(literal 1/8 binary32)) (-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32))))) (/.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32)))))) (/.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 (PI.f32) (*.f32 r (PI.f32)))))))
(/.f32 (.f32 (-.f32 (/.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32))))) (/.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32)))))) #s(literal 1/8 binary32)) (/.f32 (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (PI.f32))))
(.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32))
(neg.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))) (neg.f32 s)))
(neg.f32 (/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -1/8 binary32)) s))
(pow.f32 (/.f32 s (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (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 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))) s)
(/.f32 #s(literal 1 binary32) (/.f32 s (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (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 (/.f32 s (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (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 #s(literal -1 binary32) (neg.f32 (/.f32 s (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))))))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -1/8 binary32)) (neg.f32 s))
(/.f32 (neg.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -1/8 binary32))) s)
(/.f32 (.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal 1 binary32)) s)
(/.f32 (/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -1/8 binary32)) #s(literal -1 binary32)) s)
(.f32 #s(literal 1/8 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) s))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (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) s))
(.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (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) s))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) s))
(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal -1/8 binary32)) (/.f32 #s(literal -1 binary32) s))
(.f32 (/.f32 #s(literal 1 binary32) s) (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) s) #s(literal 1/8 binary32))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))) s))
(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))))
(+.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))))
(fma.f32 (neg.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 r (PI.f32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))))
(fma.f32 (neg.f32 (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 r (PI.f32)))) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) r) (cbrt.f32 (PI.f32))) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) r) (sqrt.f32 (PI.f32))) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))))
(-.f32 (/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32))))) (/.f32 (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (PI.f32)))) (/.f32 (/.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32))))) (/.f32 (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32)) (.f32 (.f32 r (PI.f32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (/.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32))))) (/.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32)))))) (/.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32)))))) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (PI.f32))) (-.f32 (/.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (.f32 r (.f32 (PI.f32) (.f32 r (PI.f32))))) (/.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 (PI.f32) (*.f32 r (PI.f32))))))))
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(neg.f32 (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 (neg.f32 s) (.f32 s (*.f32 s (PI.f32))))))
(neg.f32 (/.f32 (.f32 (.f32 r r) #s(literal 7/324 binary32)) (.f32 (.f32 s (PI.f32)) (*.f32 s s))))
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(/.f32 #s(literal -7/324 binary32) (/.f32 (.f32 (.f32 s (PI.f32)) (.f32 s s)) (.f32 r r)))
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(/.f32 #s(literal 1 binary32) (/.f32 (.f32 s (.f32 s (PI.f32))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) s)))
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(/.f32 (/.f32 (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) s) (*.f32 s (PI.f32))) s)
(/.f32 (/.f32 (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) s) (*.f32 s s)) (PI.f32))
(.f32 r (.f32 (/.f32 r (.f32 (.f32 s (PI.f32)) (*.f32 s s))) #s(literal -7/324 binary32)))
(.f32 (/.f32 r s) (.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -7/324 binary32)))
(.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 (.f32 s (PI.f32)) (*.f32 s s))))
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(.f32 (/.f32 #s(literal -7/324 binary32) s) (/.f32 (.f32 r r) (.f32 s (.f32 s (PI.f32)))))
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(.f32 (/.f32 (.f32 r #s(literal -7/324 binary32)) (.f32 s (.f32 s (PI.f32)))) (/.f32 r s))
(.f32 (/.f32 (.f32 r #s(literal -7/324 binary32)) (.f32 s s)) (/.f32 r (.f32 s (PI.f32))))
(.f32 (.f32 #s(literal -7/324 binary32) (/.f32 r s)) (/.f32 r (.f32 s (.f32 s (PI.f32)))))
(*.f32 s (PI.f32))
(*.f32 (PI.f32) s)
(.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))
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(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) s))
(.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 s #s(literal 1 binary32)) (PI.f32))
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(.f32 (.f32 r (PI.f32)) s)
(.f32 (PI.f32) (.f32 r s))
(.f32 (.f32 r s) (PI.f32))
(.f32 (.f32 s (PI.f32)) r)
(.f32 #s(literal 1 binary32) (.f32 r (*.f32 s (PI.f32))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) (.f32 r s)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))
(.f32 (.f32 (*.f32 r s) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (.f32 r s) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
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eval386.0ms (2.6%)

Memory: 25.4MiB live, 344.4MiB allocated
Compiler: Compiled 62 615 to 4 426 computations (92.9% saved)

prune475.0ms (3.2%)

Memory

-23.9MiB live, 372.5MiB allocated

Pruning

66 alts after pruning (63 fresh and 3 done)

	Pruned	Kept	Total
New	1 802	35	1 837
Fresh	17	28	45
Picked	3	2	5
Done	1	1	2
Total	1 823	66	1 889

Accuracy

99.8%

Counts

1 889 → 66

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(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)))))
	98.3%	(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 3/4 binary32) (.f32 r (.f32 #s(literal 6 binary32) (.f32 s (PI.f32))))) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32)))))
	99.4%	(/.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (.f32 r #s(literal 4/3 binary32))) (/.f32 (.f32 (.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 #s(literal 6 binary32) (.f32 s (PI.f32))))) (.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32))))) (*.f32 r #s(literal 4/3 binary32)))
	9.2%	(/.f32 (-.f32 (pow.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)) #s(literal 3 binary32)) (pow.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)) #s(literal 3 binary32))) (fma.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)) (/.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)) (fma.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)) (/.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)) (.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)) (/.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))))))
	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 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32))) #s(literal 6 binary32)))) (*.f32 r #s(literal 4/3 binary32))))
	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (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))))
	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)) #s(approx (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (/.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)))
	10.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (/.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)))
	9.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	9.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (-.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
	10.5%	(+.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 (/.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 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	99.5%	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))
	8.9%	(.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 #s(approx (exp (/ r (neg s))) #s(literal 1 binary32)) r)))
	99.5%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
▶	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 (.f32 s (PI.f32)) (.f32 s s))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))) s))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
	10.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	99.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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 #s(literal -1/3 binary32) s) r)) (.f32 r (PI.f32))))) s))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 #s(approx (exp (/ r (neg s))) #s(literal 1 binary32)) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (neg s))) ( r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -14/81 binary32) (/.f32 #s(literal 5/9 binary32) (.f32 (PI.f32) (.f32 s s)))) (/.f32 #s(literal 2 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) s))))) s))
	10.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(approx (* 1/8 (+ (/ (exp (/ r (neg s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(approx (* 1/8 (+ (/ (exp (/ r (neg s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
▶	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 r (PI.f32)) s))))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.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 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) r) #s(approx (+ (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI)))) (/ (* -7/324 (* r r)) (* s (* s (* s (PI)))))) (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s))))) s))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s (PI.f32)) #s(literal -6 binary32)))))) s))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
	10.0%	#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 (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ 1 (PI)) (/ 1/4 r)) (+ (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI)))) (/ (* -7/324 (* r r)) (* s (* s (* s (PI))))))) (.f32 (.f32 r r) (+.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 (.f32 r (PI.f32)) s))) (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s)))) r) (/.f32 #s(literal -7/324 binary32) (.f32 (PI.f32) (.f32 s (*.f32 s s))))))) s))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 (.f32 r (PI.f32)) #s(literal -1/6 binary32) (.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))) (.f32 (.f32 (.f32 r (PI.f32)) (PI.f32)) s))) s))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (.f32 (.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))) (.f32 (.f32 s (PI.f32)) (PI.f32)))) s))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
✓	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (.f32 (.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 r (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (.f32 r r) (PI.f32)))) (+.f32 (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 r (.f32 r (.f32 s (PI.f32)))))))))) s))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32))))
▶	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) 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 #s(literal 1 binary32) s) #s(approx (+ ( -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
	10.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ 1 (PI)) (/ 1/4 r)) (+ (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI)))) (/ (* -7/324 (* r r)) (* s (* s (* s (PI))))))) s) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))))
	99.5%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (*.f32 r s)) (PI.f32)))
	99.5%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))))
	99.4%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) (.f32 r (.f32 s (PI.f32)))))
▶	8.5%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (*.f32 s (PI.f32)))))
	10.0%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 r (.f32 r #s(literal 1/2 binary32)) (/.f32 (.f32 r (.f32 #s(literal -1/6 binary32) (.f32 r r))) s)) s)) s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
	8.9%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) #s(literal 1 binary32)) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
	10.1%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (exp (/ r (neg s))) (exp ( (/ r s) -1/3))) (fma.f32 r (/.f32 #s(literal -4/3 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal 5/9 binary32) (.f32 s s)) #s(literal 2 binary32))))) (.f32 r (.f32 s (PI.f32)))))
	10.0%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (exp (/ r (neg s))) (exp ( (/ r s) -1/3))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (fma.f32 r (.f32 r #s(literal 5/9 binary32)) (/.f32 (.f32 r (.f32 (.f32 r r) #s(literal -14/81 binary32))) s)) (neg.f32 s))) s)))) (.f32 r (.f32 s (PI.f32)))))
	10.1%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (exp (/ r (neg s))) (exp ( (/ r s) -1/3))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (.f32 (.f32 r r) #s(literal -5/9 binary32)) s)) s)))) (.f32 r (.f32 s (PI.f32)))))
	8.5%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/72 binary32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32))) (.f32 r (*.f32 s (PI.f32)))))
	10.1%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32))) (.f32 r (*.f32 s (PI.f32)))))
	9.0%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (.f32 r (.f32 s (PI.f32)))))
	9.0%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (.f32 #s(literal 1/6 binary32) r)) s))) (.f32 r (*.f32 s (PI.f32)))))
▶	99.5%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
	98.2%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) s))))

Compiler

Compiled 3 893 to 2 133 computations (45.2% saved)

simplify459.0ms (3.1%)

Memory

-18.9MiB live, 248.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (*.f32 s (PI.f32))))
cost-diff	0	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (*.f32 s (PI.f32)))))
cost-diff	160	(fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
cost-diff	320	(fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))
cost-diff	0	(fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (*.f32 s (PI.f32)))))
cost-diff	0	(/.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
cost-diff	480	(fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
cost-diff	0	(.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
cost-diff	800	(.f32 (.f32 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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)))
cost-diff	0	(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
cost-diff	0	(/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r)
cost-diff	0	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
cost-diff	192	(.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))

Rules

15 646×	`lower-fma.f64`
15 636×	`lower-fma.f32`
4 962×	`lower-*.f64`
4 934×	`lower-*.f32`
2 176×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	796
0	158	766
1	324	741
2	848	731
3	2941	715
4	4436	715
5	4961	709
6	6433	709
7	7780	709
0	8106	683

Stop Event

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

Calls

Call 1

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

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

localize361.0ms (2.4%)

Memory

21.3MiB live, 414.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.41339879584999606	(fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))
accuracy	0.6641778946058927	(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
accuracy	15.617735627392433	(fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
accuracy	28.780382788142756	#s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))
accuracy	0.37890625	(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
accuracy	0.37927303782183575	(fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
accuracy	15.17465862169226	(fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (*.f32 s (PI.f32)))))
accuracy	28.77347160553034	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
accuracy	0.26450877155338326	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
accuracy	0.33984375	(.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy	0.41796875	(*.f32 s (sqrt.f32 (PI.f32)))
accuracy	29.204463299659192	#s(approx (+ (/ (* 1/4 (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))))))
accuracy	0.26450877155338326	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
accuracy	0.3046875	(.f32 (.f32 r (PI.f32)) s)
accuracy	0.3203125	(*.f32 r (PI.f32))
accuracy	29.204463299659192	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)))
accuracy	0.08499697276404278	(exp.f32 (/.f32 r (neg.f32 s)))
accuracy	0.26953125	(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy	0.28125	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
accuracy	0.33203125	(*.f32 s (PI.f32))

Samples

238.0ms

256×

valid

Compiler

Compiled 598 to 96 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-div: 77.0ms (38.7% of total)

ival-mult: 74.0ms (37.2% of total)

const: 20.0ms (10% of total)

ival-add: 12.0ms (6% of total)

ival-exp: 9.0ms (4.5% of total)

ival-sqrt: 2.0ms (1% of total)

ival-neg: 2.0ms (1% of total)

ival-pi: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series31.0ms (0.2%)

Memory

-21.8MiB live, 99.0MiB allocated

Counts

29 → 624

Calls

Call 1

Inputs
#<alt (.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))>
#<alt #s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))>
#<alt (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r)>
#<alt (+.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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 s (sqrt.f32 (PI.f32))) (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 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))>
#<alt (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))>
#<alt (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))>
#<alt (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))>
#<alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))>
#<alt (/.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)>
#<alt (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (*.f32 s (PI.f32)))))>
#<alt (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s))>
#<alt (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))>
#<alt #s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (*.f32 s (PI.f32)))))>
#<alt (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (*.f32 s (PI.f32))))>
#<alt (*.f32 s (PI.f32))>
#<alt (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))>
#<alt (/.f32 r (*.f32 s #s(literal -3 binary32)))>
#<alt (exp.f32 (/.f32 r (neg.f32 s)))>
#<alt (*.f32 s (sqrt.f32 (PI.f32)))>
#<alt (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))>
#<alt #s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))>
#<alt (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))>
#<alt (*.f32 (/.f32 r s) #s(literal -1/3 binary32))>

Outputs
#<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 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))>
#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))>
#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))>
#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<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 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (/ 2 r)>
#<alt (/ (+ 2 (* -4/3 (/ r s))) r)>
#<alt (/ (+ 2 (* r (- (* 5/9 (/ r (pow s 2))) (* 4/3 (/ 1 s))))) r)>
#<alt (/ (+ 2 (* r (- (* r (+ (* -14/81 (/ r (pow s 3))) (* 5/9 (/ 1 (pow s 2))))) (* 4/3 (/ 1 s))))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ 2 r)>
#<alt (- (* 2 (/ 1 r)) (* 4/3 (/ 1 s)))>
#<alt (- (+ (* 1/18 (/ r (pow s 2))) (+ (* 1/2 (/ r (pow s 2))) (* 2 (/ 1 r)))) (* 4/3 (/ 1 s)))>
#<alt (- (+ (* -1/6 (/ (pow r 2) (pow s 3))) (+ (* -1/162 (/ (pow r 2) (pow s 3))) (+ (* 1/18 (/ r (pow s 2))) (+ (* 1/2 (/ r (pow s 2))) (* 2 (/ 1 r)))))) (* 4/3 (/ 1 s)))>
#<alt (/ 2 r)>
#<alt (- (* 2 (/ 1 r)) (* 4/3 (/ 1 s)))>
#<alt (+ (* -1 (/ (+ 4/3 (* -1 (/ (+ (* 1/18 r) (* 1/2 r)) s))) s)) (* 2 (/ 1 r)))>
#<alt (+ (* -1 (/ (+ 4/3 (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (pow r 2)) (* 1/6 (pow r 2))) s)) (+ (* 1/18 r) (* 1/2 r))) s))) s)) (* 2 (/ 1 r)))>
#<alt 2>
#<alt (+ 2 (* -4/3 (/ r s)))>
#<alt (+ 2 (* r (- (* 5/9 (/ r (pow s 2))) (* 4/3 (/ 1 s)))))>
#<alt (+ 2 (* r (- (* r (+ (* -14/81 (/ r (pow s 3))) (* 5/9 (/ 1 (pow s 2))))) (* 4/3 (/ 1 s)))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))>
#<alt 2>
#<alt (+ 2 (+ (* -1 (/ r s)) (* -1/3 (/ r s))))>
#<alt (+ 2 (+ (* -1 (/ r s)) (+ (* -1/3 (/ r s)) (+ (* 1/18 (/ (pow r 2) (pow s 2))) (* 1/2 (/ (pow r 2) (pow s 2)))))))>
#<alt (+ 2 (+ (* -1 (/ r s)) (+ (* -1/3 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (+ (* 1/18 (/ (pow r 2) (pow s 2))) (* 1/2 (/ (pow r 2) (pow s 2)))))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ r (* 1/3 r)) s)))>
#<alt (+ 2 (* -1 (/ (+ r (+ (* -1 (/ (+ (* 1/18 (pow r 2)) (* 1/2 (pow r 2))) s)) (* 1/3 r))) s)))>
#<alt (+ 2 (* -1 (/ (+ r (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (pow r 3)) (* 1/6 (pow r 3))) s)) (+ (* 1/18 (pow r 2)) (* 1/2 (pow r 2)))) s)) (* 1/3 r))) s)))>
#<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 (/ (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 (/ (+ (* -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 (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 (/ 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 (/ (- (* 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 (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* 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 (* 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 (* 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 (* 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 (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* 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 (/ (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)>
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#<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 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
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#<alt (* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* 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 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt 1>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (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 (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 (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<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>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ -1/6 (* s (PI)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (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 (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 (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<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>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))>
#<alt (/ 1/2 (pow s 2))>
#<alt (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))>
#<alt (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))>
#<alt (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))>
#<alt (* -1/6 (/ r (pow s 3)))>
#<alt (* r (- (* 1/2 (/ 1 (* r (pow s 2)))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* r (- (* 1/2 (/ 1 (* r (pow s 2)))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* r (- (* 1/2 (/ 1 (* r (pow s 2)))) (* 1/6 (/ 1 (pow s 3)))))>
#<alt (* -1/6 (/ r (pow s 3)))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* r (pow s 2)))))))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* r (pow s 2)))))))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* r (pow s 2)))))))>
#<alt (* -1/6 (/ r (pow s 3)))>
#<alt (/ (+ (* -1/6 r) (* 1/2 s)) (pow s 3))>
#<alt (/ (+ (* -1/6 r) (* 1/2 s)) (pow s 3))>
#<alt (/ (+ (* -1/6 r) (* 1/2 s)) (pow s 3))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))>
#<alt (/ 1/2 (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))>
#<alt (/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>

Calls

156 calls:

Time	Variable		Point	Expression
2.0ms	s	@	-inf	(* s (sqrt (PI)))
1.0ms	s	@	-inf	(/ (+ (exp (/ r (neg s))) (exp (/ r (* s -3)))) r)
1.0ms	r	@	0	(+ (* r (+ (* -1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))
1.0ms	r	@	inf	(+ (* r (+ (* -1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))
1.0ms	s	@	0	(* s (sqrt (PI)))

simplify321.0ms (2.2%)

Memory

13.8MiB live, 567.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 478×	`lower-fma.f64`
11 478×	`lower-fma.f32`
5 476×	`lower-*.f64`
5 476×	`lower-*.f32`
3 356×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	600	8249
1	1730	7988
2	5005	7894
0	8356	7690

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

Inputs
(/ 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 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 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 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/ 2 r)
(/ (+ 2 (* -4/3 (/ r s))) r)
(/ (+ 2 (* r (- (* 5/9 (/ r (pow s 2))) (* 4/3 (/ 1 s))))) r)
(/ (+ 2 (* r (- (* r (+ (* -14/81 (/ r (pow s 3))) (* 5/9 (/ 1 (pow s 2))))) (* 4/3 (/ 1 s))))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ 2 r)
(- (* 2 (/ 1 r)) (* 4/3 (/ 1 s)))
(- (+ (* 1/18 (/ r (pow s 2))) (+ (* 1/2 (/ r (pow s 2))) (* 2 (/ 1 r)))) (* 4/3 (/ 1 s)))
(- (+ (* -1/6 (/ (pow r 2) (pow s 3))) (+ (* -1/162 (/ (pow r 2) (pow s 3))) (+ (* 1/18 (/ r (pow s 2))) (+ (* 1/2 (/ r (pow s 2))) (* 2 (/ 1 r)))))) (* 4/3 (/ 1 s)))
(/ 2 r)
(- (* 2 (/ 1 r)) (* 4/3 (/ 1 s)))
(+ (* -1 (/ (+ 4/3 (* -1 (/ (+ (* 1/18 r) (* 1/2 r)) s))) s)) (* 2 (/ 1 r)))
(+ (* -1 (/ (+ 4/3 (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (pow r 2)) (* 1/6 (pow r 2))) s)) (+ (* 1/18 r) (* 1/2 r))) s))) s)) (* 2 (/ 1 r)))
2
(+ 2 (* -4/3 (/ r s)))
(+ 2 (* r (- (* 5/9 (/ r (pow s 2))) (* 4/3 (/ 1 s)))))
(+ 2 (* r (- (* r (+ (* -14/81 (/ r (pow s 3))) (* 5/9 (/ 1 (pow s 2))))) (* 4/3 (/ 1 s)))))
(+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))
(+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))
(+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))
(+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))
(+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))
(+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))
(+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))
(+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))
(+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))
(+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))
(+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))
(+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s))))
2
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(/ (+ (* -1/6 (pow r 2)) (* 1/2 (* r s))) (pow s 3))
(/ (+ (* -1/6 (pow r 2)) (* s (+ (* -1 s) (* 1/2 r)))) (pow s 3))
(/ (+ (* -1/6 (pow r 2)) (* s (+ (* -1 s) (* 1/2 r)))) (pow s 3))
(/ -1 s)
(/ (- (* 1/2 (/ r s)) 1) s)
(/ (- (+ (* -1/6 (/ (pow r 2) (pow s 2))) (* 1/2 (/ r s))) 1) s)
(/ (- (+ (* -1/6 (/ (pow r 2) (pow s 2))) (* 1/2 (/ r s))) 1) s)
(/ -1 s)
(* -1 (/ (+ 1 (* -1/2 (/ r s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow r 2) s)) (* 1/2 r)) s))) s))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow r 2) s)) (* 1/2 r)) s))) s))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(* -1/6 (/ (pow r 3) (pow s 3)))
(* (pow r 3) (- (* 1/2 (/ 1 (* r (pow s 2)))) (* 1/6 (/ 1 (pow s 3)))))
(* (pow r 3) (- (/ 1/2 (* r (pow s 2))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* (pow r 2) s)))))
(* (pow r 3) (- (+ (/ 1/2 (* r (pow s 2))) (/ 1 (pow r 3))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* (pow r 2) s)))))
(* -1/6 (/ (pow r 3) (pow s 3)))
(* -1 (* (pow r 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* r (pow s 2)))))))
(* -1 (* (pow r 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* r s))) r)) (* 1/6 (/ 1 (pow s 3))))))
(* -1 (* (pow r 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (/ 1 r)) r)) (* 1/2 (/ 1 (pow s 2)))) r)) (* 1/6 (/ 1 (pow s 3))))))
(* -1/6 (/ (pow r 3) (pow s 3)))
(/ (+ (* -1/6 (pow r 3)) (* 1/2 (* (pow r 2) s))) (pow s 3))
(/ (+ (* -1/6 (pow r 3)) (* s (+ (* -1 (* r s)) (* 1/2 (pow r 2))))) (pow s 3))
(/ (+ (* -1/6 (pow r 3)) (* s (+ (* 1/2 (pow r 2)) (* s (+ s (* -1 r)))))) (pow s 3))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 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 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* 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 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(/ 1/2 (pow s 2))
(+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(* -1/6 (/ r (pow s 3)))
(* r (- (* 1/2 (/ 1 (* r (pow s 2)))) (* 1/6 (/ 1 (pow s 3)))))
(* r (- (* 1/2 (/ 1 (* r (pow s 2)))) (* 1/6 (/ 1 (pow s 3)))))
(* r (- (* 1/2 (/ 1 (* r (pow s 2)))) (* 1/6 (/ 1 (pow s 3)))))
(* -1/6 (/ r (pow s 3)))
(* -1 (* r (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* r (pow s 2)))))))
(* -1 (* r (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* r (pow s 2)))))))
(* -1 (* r (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* r (pow s 2)))))))
(* -1/6 (/ r (pow s 3)))
(/ (+ (* -1/6 r) (* 1/2 s)) (pow s 3))
(/ (+ (* -1/6 r) (* 1/2 s)) (pow s 3))
(/ (+ (* -1/6 r) (* 1/2 s)) (pow s 3))
(/ 1/2 (pow s 2))
(/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))
(/ 1/2 (pow s 2))
(/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))
(/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))

Outputs
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) 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)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.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)))))
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (.f32 (.f32 r r) #s(literal -14/81 binary32)) (PI.f32)) (.f32 s (.f32 s s))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
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(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) (PI.f32)) s) (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) s)
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 r (fma.f32 r (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s)) #s(literal 1 binary32))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 r r) (.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s)))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 r s)) (fma.f32 r (.f32 #s(literal -1/6 binary32) (.f32 r (/.f32 r (.f32 s (.f32 s s))))) (/.f32 (.f32 r (.f32 r #s(literal 1/2 binary32))) (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 r r) s) r) s))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r (.f32 r r)) s) (.f32 r (.f32 r #s(literal 1/2 binary32)))) s)) s))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 r (fma.f32 r (.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s)) #s(literal 1 binary32))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (neg.f32 (/.f32 r s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 r r) (.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s)))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 r s)) (fma.f32 r (.f32 #s(literal -1/6 binary32) (.f32 r (/.f32 r (.f32 s (.f32 s s))))) (/.f32 (.f32 r (.f32 r #s(literal 1/2 binary32))) (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 r r) s) r) s))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r (.f32 r r)) s) (.f32 r (.f32 r #s(literal 1/2 binary32)))) s)) s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(fma.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(fma.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))
(fma.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
(* -1/6 (/ r (pow s 3)))
(.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (*.f32 s s))))
(* r (- (* 1/2 (/ 1 (* r (pow s 2)))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 r (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 r (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s)))))
(* r (- (* 1/2 (/ 1 (* r (pow s 2)))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 r (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 r (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s)))))
(* r (- (* 1/2 (/ 1 (* r (pow s 2)))) (* 1/6 (/ 1 (pow s 3)))))
(.f32 r (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 r (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (*.f32 s s)))))
(* -1/6 (/ r (pow s 3)))
(.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (*.f32 s s))))
(* -1 (* r (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* r (pow s 2)))))))
(neg.f32 (.f32 r (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/2 binary32) (.f32 r (*.f32 s s))))))
(* -1 (* r (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* r (pow s 2)))))))
(neg.f32 (.f32 r (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/2 binary32) (.f32 r (*.f32 s s))))))
(* -1 (* r (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* r (pow s 2)))))))
(neg.f32 (.f32 r (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/2 binary32) (.f32 r (*.f32 s s))))))
(* -1/6 (/ r (pow s 3)))
(.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (*.f32 s s))))
(/ (+ (* -1/6 r) (* 1/2 s)) (pow s 3))
(/.f32 (fma.f32 r #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (.f32 s (*.f32 s s)))
(/ (+ (* -1/6 r) (* 1/2 s)) (pow s 3))
(/.f32 (fma.f32 r #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (.f32 s (*.f32 s s)))
(/ (+ (* -1/6 r) (* 1/2 s)) (pow s 3))
(/.f32 (fma.f32 r #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (.f32 s (*.f32 s s)))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s))
(/ 1/2 (pow s 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s))
(/ (+ 1/2 (* -1/6 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))

rewrite361.0ms (2.4%)

Memory

-2.9MiB live, 673.3MiB allocated

Rules

5 118×	`lower-*.f64`
5 090×	`lower-*.f32`
3 932×	`lower-/.f64`
3 902×	`lower-/.f32`
2 552×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	104	588
0	158	559
1	642	511
2	6761	511
0	8450	511

Stop Event

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

Counts

29 → 842

Calls

Call 1

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

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

eval169.0ms (1.1%)

Memory: 32.1MiB live, 504.7MiB allocated
Compiler: Compiled 51 087 to 3 444 computations (93.3% saved)

prune330.0ms (2.2%)

Memory

1.6MiB live, 682.4MiB allocated

Pruning

78 alts after pruning (72 fresh and 6 done)

	Pruned	Kept	Total
New	1 530	36	1 566
Fresh	22	36	58
Picked	2	3	5
Done	0	3	3
Total	1 554	78	1 632

Accuracy

99.8%

Counts

1 632 → 78

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(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)))))
	98.3%	(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 3/4 binary32) (.f32 r (.f32 #s(literal 6 binary32) (.f32 s (PI.f32))))) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32)))))
	99.4%	(/.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (.f32 r #s(literal 4/3 binary32))) (/.f32 (.f32 (.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 #s(literal 6 binary32) (.f32 s (PI.f32))))) (.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32))))) (*.f32 r #s(literal 4/3 binary32)))
	9.2%	(/.f32 (-.f32 (pow.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)) #s(literal 3 binary32)) (pow.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)) #s(literal 3 binary32))) (fma.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)) (/.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)) (fma.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)) (/.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)) (.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)) (/.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))))))
	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 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32))) #s(literal 6 binary32)))) (*.f32 r #s(literal 4/3 binary32))))
	99.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (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))))
	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)) #s(approx (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (/.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)))
	10.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (/.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)))
	9.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	9.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (-.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
	10.5%	(+.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 (/.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 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) (.f32 s s)) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	99.5%	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))
	99.5%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 (/.f32 (.f32 r #s(literal -7/324 binary32)) (.f32 s (.f32 s (.f32 s (PI.f32))))) r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))) s))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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))
	10.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 r #s(approx (+ (* (/ r (* s (* s (* s (PI))))) -7/324) (/ 5/72 (* s (* s (PI))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (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))
	10.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 r #s(approx (+ (* (/ r (* s (* s (* s (PI))))) -7/324) (/ 5/72 (* s (* s (PI))))) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
	99.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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 #s(literal -1/3 binary32) s) r)) (.f32 r (PI.f32))))) s))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 #s(approx (exp (/ r (neg s))) #s(literal 1 binary32)) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s))
	10.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s (* s (PI))))) -7/324) (/ 5/72 (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s (* s (PI))))) -7/324) (/ 5/72 (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI))))) (.f32 (.f32 r r) (+.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 r (.f32 s (PI.f32))))) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) r) (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 s (*.f32 s (PI.f32)))))))) s))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) r))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (*.f32 s (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))))
✓	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 r (PI.f32)) s))))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 r (.f32 s (PI.f32))))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.f32 (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 s (PI.f32))))))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s (PI.f32)) #s(literal -6 binary32)))))) s))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
	10.0%	#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 (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (.f32 s s)) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 (.f32 r (PI.f32)) #s(literal -1/6 binary32) (.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))) (.f32 (.f32 (.f32 r (PI.f32)) (PI.f32)) s))) s))
	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (.f32 (.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))) (.f32 (.f32 s (PI.f32)) (PI.f32)))) s))
✓	9.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (.f32 (.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 r (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (.f32 r r) (PI.f32)))) (+.f32 (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 r (.f32 r (.f32 s (PI.f32)))))))))) s))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32))))
✓	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	8.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
	99.5%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (/.f32 (.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal 1/8 binary32)) (*.f32 r (PI.f32))) s))
	99.5%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))))
	99.4%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) (.f32 r (.f32 s (PI.f32)))))
	10.0%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r #s(approx (+ ( -1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s))) (/.f32 (fma.f32 r #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
	10.0%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (fma.f32 r #s(approx (+ ( r (+ (* -1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 s (fma.f32 r #s(literal 1/2 binary32) (neg.f32 s)) (.f32 #s(literal -1/6 binary32) (.f32 r r))) (.f32 s (.f32 s s)))) #s(literal 1 binary32))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (*.f32 s (PI.f32)))))
	5.6%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) #s(approx (+ ( r (+ (* r (+ (* -1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 1) (/.f32 (fma.f32 s (.f32 r (.f32 r #s(literal 1/2 binary32))) (.f32 #s(literal -1/6 binary32) (.f32 r (.f32 r r)))) (.f32 s (.f32 s s))))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
	8.9%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) #s(approx (+ ( r (+ (* r (+ (* -1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 1) #s(literal 1 binary32))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (*.f32 s (PI.f32)))))
	10.1%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (exp (/ r (neg s))) (exp ( (/ r s) -1/3))) (fma.f32 r (/.f32 #s(literal -4/3 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal 5/9 binary32) (.f32 s s)) #s(literal 2 binary32))))) (.f32 r (.f32 s (PI.f32)))))
	10.0%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (exp (/ r (neg s))) (exp ( (/ r s) -1/3))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (fma.f32 r (.f32 r #s(literal 5/9 binary32)) (/.f32 (.f32 r (.f32 (.f32 r r) #s(literal -14/81 binary32))) s)) (neg.f32 s))) s)))) (.f32 r (.f32 s (PI.f32)))))
	8.5%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/72 binary32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32))) (.f32 r (*.f32 s (PI.f32)))))
	10.1%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32))) (.f32 r (*.f32 s (PI.f32)))))
	9.0%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (.f32 r (.f32 s (PI.f32)))))
	9.0%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (.f32 #s(literal 1/6 binary32) r)) s))) (.f32 r (*.f32 s (PI.f32)))))
✓	99.5%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
	8.9%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 (+.f32 #s(approx (exp (/ r (neg s))) #s(literal 1 binary32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
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	10.1%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 #s(approx (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/9 binary32) (.f32 s s)) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) r) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))
	98.2%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) s))))
	10.1%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 #s(approx (/ (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) r) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (fma.f32 (/.f32 r s) #s(literal -5/9 binary32) #s(literal 4/3 binary32)) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
	10.0%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 #s(approx (/ (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) r) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (-.f32 #s(literal 4/3 binary32) (/.f32 (fma.f32 r #s(literal 5/9 binary32) (.f32 #s(literal -14/81 binary32) (/.f32 (.f32 r r) s))) s)) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
	8.5%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 #s(approx (/ (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) r) (+.f32 (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (.f32 s s))) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal -4/3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))
	9.0%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 #s(approx (/ (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) r) (+.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 #s(literal -4/3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))

Compiler

Compiled 5 719 to 1 822 computations (68.1% saved)

regimes118.0ms (0.8%)

Memory

16.4MiB live, 201.8MiB 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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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 (/.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) (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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(approx (* 1/8 (+ (/ (exp (/ r (neg s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.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 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.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 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #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 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))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
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(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) 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 (+ (/ (* 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) #s(literal -1/3 binary32))) (.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 #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) #s(literal -1/3 binary32))) (.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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 #s(literal -1/3 binary32) s) r)) (.f32 r (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) 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 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 3/4 binary32) (.f32 r (.f32 #s(literal 6 binary32) (.f32 s (PI.f32))))) (/.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32)))))
(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 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 r #s(literal 4/3 binary32))))
(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 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) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r)) (*.f32 (PI.f32) #s(literal 6 binary32))) s))
(/.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (.f32 r #s(literal 4/3 binary32))) (/.f32 (.f32 (.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 #s(literal 6 binary32) (.f32 s (PI.f32))))) (.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32))))) (*.f32 r #s(literal 4/3 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 #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 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32))) #s(literal 6 binary32)))) (*.f32 r #s(literal 4/3 binary32))))
(/.f32 (-.f32 (pow.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)) #s(literal 3 binary32)) (pow.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)) #s(literal 3 binary32))) (fma.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)) (/.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)) (fma.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)) (/.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)) (.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)) (/.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))))))

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)))

Calls

3 calls:

39.0ms

29.0ms

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

Results

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes114.0ms (0.8%)

Memory

-6.9MiB live, 249.6MiB allocated

Counts

131 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

36.0ms

35.0ms

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes99.0ms (0.7%)

Memory

-8.4MiB live, 186.8MiB allocated

Counts

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

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

Calls

3 calls:

34.0ms

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes122.0ms (0.8%)

Memory

14.5MiB live, 131.2MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

44.0ms

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)))

32.0ms

Results

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes98.0ms (0.7%)

Memory

-10.9MiB live, 150.8MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

34.0ms

31.0ms

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes92.0ms (0.6%)

Memory

-15.9MiB live, 140.1MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

31.0ms

30.0ms

24.0ms

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

Results

Accuracy	Segments	Branch
99.4%	1	`s`
99.4%	1	`r`
99.4%	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)

regimes87.0ms (0.6%)

Memory

18.8MiB live, 130.4MiB 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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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 (/.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) (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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(approx (* 1/8 (+ (/ (exp (/ r (neg s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.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 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) s) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))))
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#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) s))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) (.f32 r (.f32 s (PI.f32)))))

Outputs

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

Calls

3 calls:

29.0ms

23.0ms

(+.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
99.4%	1	`s`
99.4%	1	`r`
99.4%	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

23.3MiB live, 136.4MiB 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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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 (/.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) (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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(approx (* 1/8 (+ (/ (exp (/ r (neg s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.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 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.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 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #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 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))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (.f32 #s(literal 1/6 binary32) r)) s))) (.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 (.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 r (PI.f32)) s))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 #s(approx (/ (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) r) (+.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 #s(literal -4/3 binary32) s))) (/.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 (*.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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (*.f32 s (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 #s(approx (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) r) (/.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 (/.f32 #s(literal 1 binary32) s) #s(approx (+ ( -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
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#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 #s(approx (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/9 binary32) (.f32 s s)) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) r) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))
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#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.f32 (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))) (/.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 r (/.f32 #s(literal 1/144 binary32) (.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 (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (/.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)))
(+.f32 (/.f32 (.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 (.f32 r #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 (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (/.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)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) s))))

Outputs

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

Calls

3 calls:

31.0ms

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
98.2%	1	`s`
98.2%	1	`r`
98.2%	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)

regimes121.0ms (0.8%)

Memory

4.6MiB live, 123.7MiB 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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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 (/.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) (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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(approx (* 1/8 (+ (/ (exp (/ r (neg s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.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 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.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 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #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 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))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (.f32 #s(literal 1/6 binary32) r)) s))) (.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 (.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 r (PI.f32)) s))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 #s(approx (/ (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) r) (+.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 #s(literal -4/3 binary32) s))) (/.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 (*.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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (*.f32 s (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 #s(approx (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) r) (/.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 (/.f32 #s(literal 1 binary32) s) #s(approx (+ ( -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) 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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.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 (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 (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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 (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 (.f32 r (PI.f32)) #s(literal -1/6 binary32) (.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))) (.f32 (.f32 (.f32 r (PI.f32)) (PI.f32)) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
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(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #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 (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #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 (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (-.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.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))) #s(approx (/ (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) s) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (PI.f32))) (pow.f32 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))) #s(approx (/ (+ (* (/ 1 (PI)) (/ 1/4 r)) (+ (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI)))) (/ (* -7/324 (* r r)) (* s (* s (* s (PI))))))) s) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (fma.f32 r #s(approx (+ ( r (+ (* -1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s)) (/.f32 (fma.f32 s (fma.f32 r #s(literal 1/2 binary32) (neg.f32 s)) (.f32 #s(literal -1/6 binary32) (.f32 r r))) (.f32 s (.f32 s s)))) #s(literal 1 binary32))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) #s(approx (+ ( r (+ (* r (+ (* -1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ -1 s))) 1) (/.f32 (fma.f32 s (.f32 r (.f32 r #s(literal 1/2 binary32))) (.f32 #s(literal -1/6 binary32) (.f32 r (.f32 r r)))) (.f32 s (.f32 s s))))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r #s(approx (+ ( -1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s))) (/.f32 (fma.f32 r #s(literal -1/6 binary32) (.f32 s #s(literal 1/2 binary32))) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 r (.f32 r #s(literal 1/2 binary32)) (/.f32 (.f32 r (.f32 #s(literal -1/6 binary32) (.f32 r r))) s)) s)) s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.f32 (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32)))) (/.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 r (/.f32 #s(literal 1/144 binary32) (.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 (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (/.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)))
(+.f32 (/.f32 (.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 (.f32 r #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 (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3)) (/.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)))

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 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))

Calls

3 calls:

50.0ms

28.0ms

21.0ms

(+.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
10.6%	1	`s`
10.6%	1	`r`
10.6%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes93.0ms (0.6%)

Memory

-17.4MiB live, 138.6MiB allocated

Counts

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

Outputs

#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (*.f32 (/.f32 #s(approx (+ (exp (/ r (neg s))) (exp (/ r (* s -3)))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/9 binary32) (*.f32 s s)) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))

Calls

3 calls:

34.0ms

28.0ms

23.0ms

(+.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	`(+.f32 (/.f32 (.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`
10.1%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes46.0ms (0.3%)

Memory

9.0MiB live, 83.6MiB allocated

Counts

55 → 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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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 (/.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) (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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(approx (* 1/8 (+ (/ (exp (/ r (neg s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.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 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.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 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #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 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))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (.f32 #s(literal 1/6 binary32) r)) s))) (.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 (.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 r (PI.f32)) s))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 #s(approx (/ (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) r) (+.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 #s(literal -4/3 binary32) s))) (/.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 (*.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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (*.f32 s (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 #s(approx (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) r) (/.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 (/.f32 #s(literal 1 binary32) s) #s(approx (+ ( -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) 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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.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 (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 (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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 (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 (.f32 r (PI.f32)) #s(literal -1/6 binary32) (.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))) (.f32 (.f32 (.f32 r (PI.f32)) (PI.f32)) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (.f32 (.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))) (.f32 (.f32 s (PI.f32)) (PI.f32)))) s))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32))) (.f32 r (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 #s(approx (/ (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) r) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (fma.f32 (/.f32 r s) #s(literal -5/9 binary32) #s(literal 4/3 binary32)) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (exp (/ r (neg s))) (exp ( (/ r s) -1/3))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (.f32 (.f32 r r) #s(literal -5/9 binary32)) s)) s)))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (exp (/ r (neg s))) (exp ( (/ r s) -1/3))) (fma.f32 r (/.f32 #s(literal -4/3 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal 5/9 binary32) (.f32 s s)) #s(literal 2 binary32))))) (.f32 r (.f32 s (PI.f32)))))

Outputs

#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (*.f32 #s(approx (/ (+ (exp (/ r (neg s))) (exp (/ r (* s -3)))) r) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (fma.f32 (/.f32 r s) #s(literal -5/9 binary32) #s(literal 4/3 binary32)) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))

Calls

3 calls:

16.0ms

11.0ms

(+.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)

regimes72.0ms (0.5%)

Memory

8.8MiB live, 54.7MiB 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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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 (/.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) (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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(approx (* 1/8 (+ (/ (exp (/ r (neg s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.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 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.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 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #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 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))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (.f32 #s(literal 1/6 binary32) r)) s))) (.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 (.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 r (PI.f32)) s))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 #s(approx (/ (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) r) (+.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 #s(literal -4/3 binary32) s))) (/.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 (*.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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (*.f32 s (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 #s(approx (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) r) (/.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 (/.f32 #s(literal 1 binary32) s) #s(approx (+ ( -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) 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)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.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 (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 (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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 (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 (.f32 r (PI.f32)) #s(literal -1/6 binary32) (.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))) (.f32 (.f32 (.f32 r (PI.f32)) (PI.f32)) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (.f32 (.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))) (.f32 (.f32 s (PI.f32)) (PI.f32)))) s))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32))) (.f32 r (*.f32 s (PI.f32)))))

Outputs

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

Calls

3 calls:

45.0ms

13.0ms

11.0ms

(+.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	`s`
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)))`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes59.0ms (0.4%)

Memory

-7.2MiB live, 67.2MiB allocated

Counts

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

Outputs

#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (*.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))) (*.f32 (*.f32 s (PI.f32)) (PI.f32)))) s))

Calls

3 calls:

28.0ms

(+.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)))

15.0ms

13.0ms

Results

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes44.0ms (0.3%)

Memory

-7.5MiB live, 70.6MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

16.0ms

15.0ms

10.0ms

(+.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	`(+.f32 (/.f32 (.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)

regimes34.0ms (0.2%)

Memory

24.7MiB live, 60.0MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

14.0ms

10.0ms

8.0ms

(+.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)

regimes26.0ms (0.2%)

Memory

5.2MiB live, 40.8MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

12.0ms

7.0ms

6.0ms

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

Results

Accuracy	Segments	Branch
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`
9.0%	1	`s`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes20.0ms (0.1%)

Memory

-0.3MiB live, 36.6MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

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)))

6.0ms

Results

Accuracy	Segments	Branch
8.7%	1	`s`
8.7%	1	`r`
8.7%	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)

regimes20.0ms (0.1%)

Memory

-11.2MiB live, 35.4MiB allocated

Counts

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

Calls

3 calls:

9.0ms

5.0ms

4.0ms

(+.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
8.7%	1	`s`
8.7%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
8.7%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes10.0ms (0.1%)

Memory

-17.0MiB live, 20.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

7 → 1

Calls

Call 1

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

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:

4.0ms

3.0ms

2.0ms

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

Results

Accuracy	Segments	Branch
8.7%	1	`s`
8.7%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
8.7%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify18.0ms (0.1%)

Memory

33.7MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Rules

84×	`*-commutative_binary32`
44×	`+-commutative_binary32`
24×	`sub-neg_binary32`
22×	`neg-sub0_binary32`
22×	`neg-mul-1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	207	917
1	273	916
2	300	916
3	321	916
4	331	916
5	335	916
6	336	916

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (.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))) (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))))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 #s(approx (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/9 binary32) (.f32 s s)) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) r) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 #s(approx (/ (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) r) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (fma.f32 (/.f32 r s) #s(literal -5/9 binary32) #s(literal 4/3 binary32)) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (.f32 (.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))) (.f32 (.f32 s (PI.f32)) (PI.f32)))) s))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 #s(approx (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (.f32 #s(literal 1/6 binary32) r)) s))) (.f32 r (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.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 1/4 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 #s(literal 1/4 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)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (.f32 r (.f32 s (.f32 #s(literal 2 binary32) (PI.f32))))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal 3 binary32) (neg.f32 s))))) (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (/.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) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 #s(literal -1/3 binary32) s) r)))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) s))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #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 r (/.f32 #s(literal 1/144 binary32) (.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 r (neg.f32 s)))) (.f32 r (.f32 s (.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))) (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))))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 #s(approx (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/9 binary32) (.f32 s s)) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) r) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (/.f32 #s(approx (+ (exp (/ r (neg s))) (exp (/ r (* s -3)))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/9 binary32) (*.f32 s s)) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))) r)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 #s(approx (/ (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) r) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (fma.f32 (/.f32 r s) #s(literal -5/9 binary32) #s(literal 4/3 binary32)) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (/ (+ (exp (/ r (neg s))) (exp (/ r (* s -3)))) r) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (fma.f32 (/.f32 r s) #s(literal -5/9 binary32) #s(literal 4/3 binary32)) s)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (.f32 (.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))) (.f32 (.f32 s (PI.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(approx (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (+ (/ 1/4 (* r (PI))) (+ (* (/ r (* s (* s (PI)))) 5/72) (/ -1/6 (* s (PI)))))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (.f32 (.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))) (.f32 (PI.f32) (.f32 s (PI.f32))))) s))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 #s(approx (+ (exp (/ r (neg s))) (exp (/ r ( s -3)))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (/.f32 #s(approx (+ (exp (/ r (neg s))) (exp (/ r (* s -3)))) (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32))) r)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (+.f32 #s(literal 1/4 binary32) (/.f32 (neg.f32 (.f32 #s(literal 1/6 binary32) r)) s))) (.f32 r (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (.f32 r #s(literal 1/6 binary32)) s))) (.f32 r (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(approx (* 1/8 (+ (exp (/ r (neg s))) (exp (* (/ r s) -1/3)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (exp (/ r (* s -3))) (* s (* (PI) 6))) (* r 4/3))) (.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 1/4 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 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))

soundness2.0s (13.6%)

Memory

-16.8MiB live, 1 445.6MiB allocated

Rules

14 624×	`lower-fma.f64`
14 624×	`lower-fma.f32`
11 478×	`lower-fma.f64`
11 478×	`lower-fma.f32`
10 538×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	600	8249
1	1730	7988
2	5005	7894
0	8356	7690
0	242	1900
1	756	1845
2	2113	1788
3	5949	1788
0	8220	1755
0	544	7137
1	1639	6805
2	4663	6666
0	8123	6509
0	84	404
0	137	414
1	496	356
2	5450	356
0	8316	356
0	107	688
0	152	682
1	683	631
2	7919	631
0	8195	624
0	25	90
0	43	90
1	142	79
2	1312	71
0	9456	71
0	104	588
0	158	559
1	642	511
2	6761	511
0	8450	511
0	587	9796
1	1726	9405
2	4999	9340
0	8109	9102

Stop Event

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

Compiler

Compiled 741 to 377 computations (49.1% saved)

preprocess95.0ms (0.6%)

Memory: 2.6MiB live, 239.9MiB allocated
Compiler: Compiled 832 to 288 computations (65.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze64.0ms (0.4%)

sample2.6s (17.5%)

explain353.0ms (2.4%)

preprocess278.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify259.0ms (1.7%)

localize93.0ms (0.6%)

series29.0ms (0.2%)

simplify641.0ms (4.3%)

rewrite370.0ms (2.5%)

eval81.0ms (0.5%)

prune188.0ms (1.3%)

simplify232.0ms (1.6%)

localize253.0ms (1.7%)

series77.0ms (0.5%)

simplify302.0ms (2%)

rewrite653.0ms (4.4%)

eval324.0ms (2.2%)

prune343.0ms (2.3%)

simplify267.0ms (1.8%)

localize262.0ms (1.8%)

series38.0ms (0.3%)

simplify274.0ms (1.8%)

rewrite537.0ms (3.6%)

eval386.0ms (2.6%)

prune475.0ms (3.2%)

simplify459.0ms (3.1%)

localize361.0ms (2.4%)

series31.0ms (0.2%)

simplify321.0ms (2.2%)

rewrite361.0ms (2.4%)

eval169.0ms (1.1%)

prune330.0ms (2.2%)

regimes118.0ms (0.8%)

regimes114.0ms (0.8%)

regimes99.0ms (0.7%)

regimes122.0ms (0.8%)

regimes98.0ms (0.7%)

regimes92.0ms (0.6%)

regimes87.0ms (0.6%)

regimes90.0ms (0.6%)

regimes121.0ms (0.8%)

regimes93.0ms (0.6%)

regimes46.0ms (0.3%)

regimes72.0ms (0.5%)

regimes59.0ms (0.4%)

regimes44.0ms (0.3%)

regimes34.0ms (0.2%)

regimes26.0ms (0.2%)

regimes20.0ms (0.1%)

regimes20.0ms (0.1%)

regimes10.0ms (0.1%)

simplify18.0ms (0.1%)

soundness2.0s (13.6%)

preprocess95.0ms (0.6%)

end0.0ms (0%)

Profiling