Metrics for Disney BSSRDF, PDF of scattering profile

analyze80.0ms (0.5%)

Memory

2.2MiB live, 77.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 49 to 37 computations (24.5% saved)

sample2.7s (16.8%)

Memory

-62.8MiB live, 3 342.8MiB allocated

Samples

2.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-mult: 663.0ms (35.6% of total)

ival-div: 591.0ms (31.7% of total)

ival-exp: 189.0ms (10.1% of total)

const: 126.0ms (6.8% of total)

ival-<=: 71.0ms (3.8% of total)

ival-neg: 52.0ms (2.8% of total)

ival-<: 40.0ms (2.1% of total)

ival-add: 39.0ms (2.1% of total)

exact: 34.0ms (1.8% of total)

ival-pi: 33.0ms (1.8% of total)

ival-and: 25.0ms (1.3% of total)

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

Bogosity

preprocess401.0ms (2.5%)

Memory

15.6MiB live, 243.4MiB 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)))))

explain392.0ms (2.4%)

Memory

-8.7MiB live, 341.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
2	4	(3.867818509917242e-9 1.639946162868e-6)	2	(0.003195617813616991 0.2563104033470154)	`(exp.f32 (/.f32 (neg.f32 r) s))`
1	0	-	1	(3.873391563047335e-8 3.531787342581083e-6)	`(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))`
0	0	-	0	-	`(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)`
0	0	-	0	-	`(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)`
0	0	-	0	-	`(*.f32 #s(literal 6 binary32) (PI.f32))`
0	0	-	0	-	`(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))`
0	0	-	0	-	`(neg.f32 r)`
0	0	-	0	-	`s`
0	0	-	0	-	`(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))`
0	10	(2.2225332685366084e-8 2.5716792151797563e-5)	0	-	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`
0	0	-	0	-	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
0	0	-	0	-	`#s(literal 3/4 binary32)`
0	0	-	0	-	`(/.f32 (neg.f32 r) s)`
0	0	-	0	-	`#s(literal 1/4 binary32)`
0	0	-	0	-	`(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)`
0	0	-	0	-	`(*.f32 #s(literal 3 binary32) s)`
0	0	-	0	-	`(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)`
0	0	-	0	-	`#s(literal 6 binary32)`
0	0	-	0	-	`r`
0	0	-	0	-	`#s(literal 3 binary32)`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`	sensitivity	10	1
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) s))`	sensitivity	4	5

Confusion

	Predicted +	Predicted -
+	0	1
-	11	244

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	0
-	11	4	240

Precision?

0.0625

Recall?

1.0

Freqs

test

number	freq
0	245
1	8
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

75.0ms

512×

valid

Compiler

Compiled 366 to 104 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 24.0ms (44.7% of total)

ival-div: 13.0ms (24.2% of total)

ival-exp: 8.0ms (14.9% of total)

ival-pi: 2.0ms (3.7% of total)

ival-add: 2.0ms (3.7% of total)

ival-neg: 2.0ms (3.7% of total)

exact: 1.0ms (1.9% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.6%

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify316.0ms (2%)

Memory

33.5MiB live, 288.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)

localize76.0ms (0.5%)

Memory

14.5MiB live, 142.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
✓	accuracy	99.2%	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
✓	accuracy	99.1%	(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
✓	accuracy	99.1%	(.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: 17.0ms (46.6% of total)

ival-mult: 12.0ms (32.9% 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)

series42.0ms (0.3%)

Memory

-38.5MiB live, 47.1MiB 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
13.0ms	s	@	inf	(* (* (* 6 (PI)) s) r)
3.0ms	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)))

simplify468.0ms (2.9%)

Memory

-13.6MiB live, 744.2MiB 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)
(/.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))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* 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))
(* 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))))

rewrite445.0ms (2.8%)

Memory

19.7MiB live, 767.3MiB allocated

Algorithm

1×	batch-egg-rewrite

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

eval215.0ms (1.3%)

Memory: -13.2MiB live, 141.9MiB allocated
Compiler: Compiled 26 889 to 1 726 computations (93.6% saved)

prune110.0ms (0.7%)

Memory

22.5MiB live, 259.4MiB allocated

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	676	26	702
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	677	26	703

Accuracy

99.9%

Counts

703 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(fma.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/6 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)))))
	96.2%	(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) (.f32 r s)) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	98.1%	(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	99.6%	(/.f32 (/.f32 (fma.f32 r (.f32 (.f32 s (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))) (.f32 (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r)) (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 r s))
	99.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 r r) (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))))))
	99.7%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (.f32 (.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32)))))
	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
▶	99.7%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))))
	99.4%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (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))))
	9.9%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
▶	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	10.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (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)))
▶	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	8.9%	(+.f32 (/.f32 (.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)))))))
	9.4%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (.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)))
	98.1%	(.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 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r))) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))))
	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	7.3%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (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))
	9.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
	8.4%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
	9.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	99.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (.f32 #s(literal 1/8 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))
▶	8.5%	#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(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	9.4%	#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 (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))))))
	8.4%	#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 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
	99.6%	#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 (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 1 704 to 1 100 computations (35.4% saved)

simplify412.0ms (2.6%)

Memory

-12.9MiB live, 349.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))
✓	cost-diff	0	(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r)
✓	cost-diff	64	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
✓	cost-diff	1056	(fma.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/6 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)))))
✓	cost-diff	64	(+.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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))
✓	cost-diff	192	(/.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))
✓	cost-diff	224	(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
✓	cost-diff	320	(fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32)))
✓	cost-diff	0	(exp.f32 (/.f32 (neg.f32 r) s))
✓	cost-diff	0	(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
✓	cost-diff	0	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
✓	cost-diff	224	(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
✓	cost-diff	0	(*.f32 s (PI.f32))
✓	cost-diff	0	(.f32 r (.f32 s (PI.f32)))
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
✓	cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
✓	cost-diff	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 r #s(literal 6 binary32)) (*.f32 s (PI.f32))))
✓	cost-diff	224	(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
✓	cost-diff	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 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))))

Rules

5 490×	`lower-fma.f64`
5 486×	`lower-fma.f32`
5 058×	`lower-*.f64`
5 022×	`lower-*.f32`
2 940×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	769
0	137	778
1	254	730
2	600	682
3	1625	671
4	3449	671
5	4203	671
6	4967	671
7	5160	671
8	5228	671
9	5230	671
10	6266	671
11	6601	671
12	6858	671
13	6951	671
14	6951	671
15	6951	671
0	8074	661

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

localize293.0ms (1.8%)

Memory

-7.1MiB live, 467.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))
✓	accuracy	98.8%	(/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32)))
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 r s))
✓	accuracy	98.3%	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
✓	accuracy	98.9%	(/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))
✓	accuracy	98.8%	(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
✓	accuracy	97.3%	(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)))
✓	accuracy	9.9%	#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
✓	accuracy	99.1%	(*.f32 s (PI.f32))
✓	accuracy	99.1%	(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
✓	accuracy	8.8%	#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
✓	accuracy	99.4%	(.f32 r (.f32 s (PI.f32)))
✓	accuracy	99.1%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
✓	accuracy	99.1%	(*.f32 s (PI.f32))
✓	accuracy	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(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
✓	accuracy	99.2%	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
✓	accuracy	99.1%	(*.f32 s (PI.f32))
✓	accuracy	98.7%	(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))

Samples

174.0ms

256×

valid

Compiler

Compiled 686 to 70 computations (89.8% saved)

Precisions

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

ival-mult: 64.0ms (46.4% of total)

ival-div: 39.0ms (28.3% of total)

const: 16.0ms (11.6% of total)

ival-exp: 8.0ms (5.8% of total)

ival-add: 6.0ms (4.3% of total)

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

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

exact: 1.0ms (0.7% of total)

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

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

series42.0ms (0.3%)

Memory

15.5MiB live, 92.7MiB allocated

Counts

28 → 612

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

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 (/ 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 (* 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))))>
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#<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 (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<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 (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (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 (/ 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 (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>

Calls

153 calls:

Time	Variable		Point	Expression
6.0ms	s	@	inf	(/ (* 3/4 (exp (/ r (* s -3)))) r)
3.0ms	r	@	0	(/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s))
2.0ms	s	@	inf	(/ -1/24 (* s (PI)))
1.0ms	r	@	inf	(+ (/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s)) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI)))))
1.0ms	r	@	0	(+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI)))

simplify608.0ms (3.8%)

Memory

-6.7MiB live, 915.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22 396×	`lower-fma.f64`
22 396×	`lower-fma.f32`
6 186×	`lower-*.f64`
6 186×	`lower-*.f32`
3 244×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	483	7758
1	1408	7553
2	3816	7396
0	8250	7207

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

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

rewrite389.0ms (2.4%)

Memory

-14.7MiB live, 579.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 688×	`lower-*.f64`
5 652×	`lower-*.f32`
4 760×	`lower-fma.f64`
4 756×	`lower-fma.f32`
2 818×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	423
0	135	429
1	482	395
2	4636	395
0	8097	389

Stop Event

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

Counts

28 → 1 090

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

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

eval271.0ms (1.7%)

Memory: 36.2MiB live, 381.2MiB allocated
Compiler: Compiled 81 974 to 3 861 computations (95.3% saved)

prune339.0ms (2.1%)

Memory

1.8MiB live, 641.3MiB allocated

Pruning

72 alts after pruning (71 fresh and 1 done)

	Pruned	Kept	Total
New	2 121	61	2 182
Fresh	11	10	21
Picked	4	1	5
Done	0	0	0
Total	2 136	72	2 208

Accuracy

100.0%

Counts

2 208 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.5%	(fma.f32 (/.f32 #s(approx (* 3/4 (exp (/ r (* s -3)))) (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 3/4 binary32))) r) (/.f32 #s(literal 1/6 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)))))
	9.8%	(fma.f32 (/.f32 #s(approx (* 3/4 (exp (/ r (* s -3)))) (-.f32 #s(literal 3/4 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) r (/.f32 (fma.f32 (.f32 r (.f32 r (/.f32 r s))) #s(literal 1/216 binary32) (.f32 r (.f32 r #s(literal -1/24 binary32)))) s)) s))) r) (/.f32 #s(literal 1/6 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)))))
	9.9%	(fma.f32 (/.f32 #s(approx (* 3/4 (exp (/ r (* s -3)))) (+.f32 #s(literal 3/4 binary32) (/.f32 (fma.f32 r #s(literal -1/4 binary32) (.f32 #s(literal 1/24 binary32) (.f32 r (/.f32 r s)))) s))) r) (/.f32 #s(literal 1/6 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)))))
	98.0%	(fma.f32 (/.f32 #s(approx (* 3/4 (exp (/ r (* s -3)))) (.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) #s(literal 3/4 binary32))) r) (/.f32 #s(literal 1/6 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)))))
	8.9%	(fma.f32 (/.f32 #s(approx (* 3/4 (exp (/ r (* s -3)))) #s(literal 3/4 binary32)) r) (/.f32 #s(literal 1/6 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)))))
	8.9%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (neg.f32 (/.f32 r s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	98.1%	(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 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 (.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
	98.1%	(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	98.0%	(fma.f32 (exp.f32 (.f32 (log.f32 (/.f32 r (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))) (/.f32 #s(literal 1/6 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)))))
	9.8%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (-.f32 (/.f32 #s(literal 3/4 binary32) r) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 r #s(literal -1/24 binary32) (.f32 #s(literal 1/216 binary32) (.f32 r (/.f32 r s)))) s)) s))) (/.f32 #s(literal 1/6 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)))))
▶	8.6%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
	9.9%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (/.f32 #s(literal 3/4 binary32) r) (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/24 binary32) #s(literal -1/4 binary32)) s))) (/.f32 #s(literal 1/6 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)))))
	99.6%	(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) r)) r (.f32 (.f32 s (PI.f32)) (.f32 (exp.f32 (neg.f32 (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (.f32 r (.f32 s (PI.f32))))
	9.9%	(+.f32 (/.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r s)) (PI.f32)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
▶	99.7%	(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #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 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) 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))))))
	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) r)) s) (PI.f32)))
	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	99.4%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (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))))
	10.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 (PI.f32) (.f32 s s))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s) r)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32))))
▶	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 s (PI.f32)))))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -1/1296 binary32) (.f32 r r)) (.f32 s (PI.f32)))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s)) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (/.f32 (fma.f32 s (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 s (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))))) (.f32 r (.f32 (/.f32 r (PI.f32)) #s(literal -1/1296 binary32)))) (.f32 s (.f32 s s)))) s)))
	5.4%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s)) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (/.f32 (fma.f32 r (.f32 (/.f32 s (PI.f32)) #s(literal 1/144 binary32)) (.f32 r (.f32 (/.f32 r (PI.f32)) #s(literal -1/1296 binary32)))) (.f32 s (*.f32 s s)))) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/8 binary32) r)))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r s) (/.f32 #s(literal 1/8 binary32) (PI.f32))))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) s))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r s) (PI.f32)))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))))
	7.7%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.8%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	6.0%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	8.6%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))
	7.3%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (PI.f32)) (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.5%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	7.1%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	98.1%	(.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 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r))) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))))
	99.6%	(.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)))
	8.4%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) 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 #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 (/.f32 #s(literal 1/4 binary32) (*.f32 r (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 (/.f32 #s(literal 1/4 binary32) (*.f32 r 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 #s(literal 1/4 binary32) (PI.f32)) (*.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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
▶	9.4%	#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 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
	9.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	9.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal 7/324 binary32)) s)) s)) s)) s))
	9.4%	#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 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (+.f32 (/.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))
	99.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (.f32 #s(literal 1/8 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))
	99.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (.f32 #s(literal 1/8 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))
	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(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) 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 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (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 #s(literal 1/4 binary32) (.f32 (.f32 r (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(literal 1/4 binary32) (.f32 (.f32 r 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 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	9.4%	#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 (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))))))
	8.4%	#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 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.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 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
	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 #s(literal 1 binary32) (.f32 r s)) (pow.f32 (/.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32))))

Compiler

Compiled 4 128 to 2 677 computations (35.2% saved)

simplify423.0ms (2.6%)

Memory

16.3MiB live, 358.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r)))
✓	cost-diff	0	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
✓	cost-diff	64	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
✓	cost-diff	320	(fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s))
✓	cost-diff	0	(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
✓	cost-diff	0	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)))
✓	cost-diff	192	(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) 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	0	(fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
✓	cost-diff	0	(+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))
✓	cost-diff	0	(/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
✓	cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
✓	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	64	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
✓	cost-diff	64	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32))))
✓	cost-diff	160	(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32))))
✓	cost-diff	768	(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #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 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))

Rules

6 080×	`lower-fma.f64`
6 072×	`lower-fma.f32`
4 814×	`lower-*.f64`
4 776×	`lower-*.f32`
2 996×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	701
0	157	685
1	306	648
2	706	627
3	1732	621
4	3654	621
5	3802	621
6	4133	621
7	4649	621
8	4873	621
9	5059	621
10	5953	621
11	6909	621
12	6974	621
13	6974	621
14	7010	621
15	7213	621
16	7427	621
17	7427	621
0	8116	613

Stop Event

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

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #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 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32))))
(*.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32))
(exp.f32 (neg.f32 (/.f32 r s)))
(neg.f32 (/.f32 r s))
(/.f32 r s)
r
s
#s(literal 1/8 binary32)
(.f32 r (.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32))))
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(neg.f32 r)
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))
(*.f32 r #s(literal 6 binary32))
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 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 (+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
(/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
(+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))
(fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(/.f32 r (.f32 (PI.f32) (.f32 s s)))
r
(.f32 (PI.f32) (.f32 s s))
(PI.f32)
(*.f32 s s)
s
#s(literal 5/72 binary32)
(/.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)
(*.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 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) 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)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
#s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r)))
(+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r))
(fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s))
r
(fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))
(/.f32 r (.f32 s (.f32 s s)))
(.f32 s (.f32 s s))
s
(*.f32 s s)
#s(literal -1/216 binary32)
(/.f32 #s(literal 1/24 binary32) (*.f32 s s))
#s(literal 1/24 binary32)
(/.f32 #s(literal -1/4 binary32) s)
#s(literal -1/4 binary32)
(/.f32 #s(literal 3/4 binary32) r)
#s(literal 3/4 binary32)
(/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32)))
#s(literal 1/6 binary32)
(*.f32 s (PI.f32))
(PI.f32)
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))
#s(literal 1/8 binary32)
(.f32 (PI.f32) (.f32 r s))
(*.f32 r s)

Outputs
(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #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 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (neg.f32 (/.f32 r s)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(*.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32))
(*.f32 #s(literal 1/8 binary32) (exp.f32 (neg.f32 (/.f32 r s))))
(exp.f32 (neg.f32 (/.f32 r s)))
(neg.f32 (/.f32 r s))
(/.f32 r s)
r
s
#s(literal 1/8 binary32)
(.f32 r (.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32))))
(.f32 (exp.f32 (/.f32 (.f32 r #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 (.f32 r #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 (*.f32 r #s(literal -1/3 binary32)) s))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(neg.f32 r)
(*.f32 #s(literal 3 binary32) s)
(*.f32 s #s(literal 3 binary32))
#s(literal 3 binary32)
(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))
(.f32 (.f32 r (*.f32 s (PI.f32))) #s(literal 6 binary32))
(*.f32 r #s(literal 6 binary32))
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(.f32 (.f32 r s) (PI.f32))
(.f32 r (.f32 s (PI.f32)))
(*.f32 r s)
r
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (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))
(/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
(/.f32 (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)
(+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))
(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)))))
(fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.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 1/4 binary32) (*.f32 r (PI.f32))))
(/.f32 r (.f32 (PI.f32) (.f32 s s)))
(/.f32 r (.f32 s (.f32 s (PI.f32))))
r
(.f32 (PI.f32) (.f32 s s))
(.f32 s (.f32 s (PI.f32)))
(PI.f32)
(*.f32 s s)
s
#s(literal 5/72 binary32)
(/.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)
(*.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 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r (.f32 s (PI.f32)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (neg.f32 (/.f32 r s))))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(exp.f32 (neg.f32 (/.f32 r s)))
(/.f32 (neg.f32 r) s)
(neg.f32 (/.f32 r s))
(neg.f32 r)
r
s
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 s (.f32 (PI.f32) (*.f32 r #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (/.f32 #s(literal -1/4 binary32) s) (fma.f32 (/.f32 r (.f32 s s)) (fma.f32 r (/.f32 #s(literal -1/216 binary32) s) #s(literal 1/24 binary32)) (/.f32 #s(literal 3/4 binary32) r)))) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
#s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r)))
#s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (/.f32 #s(literal -1/4 binary32) s) (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal -1/216 binary32) s) #s(literal 1/24 binary32)) (/.f32 #s(literal 3/4 binary32) r))))
(+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r))
(+.f32 (/.f32 #s(literal -1/4 binary32) s) (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal -1/216 binary32) s) #s(literal 1/24 binary32)) (/.f32 #s(literal 3/4 binary32) r)))
(fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s))
(fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal -1/216 binary32) s) #s(literal 1/24 binary32)) (/.f32 #s(literal -1/4 binary32) s))
r
(fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))
(fma.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))
(/.f32 r (.f32 s (.f32 s s)))
(.f32 s (.f32 s s))
s
(*.f32 s s)
#s(literal -1/216 binary32)
(/.f32 #s(literal 1/24 binary32) (*.f32 s s))
#s(literal 1/24 binary32)
(/.f32 #s(literal -1/4 binary32) s)
#s(literal -1/4 binary32)
(/.f32 #s(literal 3/4 binary32) r)
#s(literal 3/4 binary32)
(/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32)))
#s(literal 1/6 binary32)
(*.f32 s (PI.f32))
(PI.f32)
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(/.f32 r (neg.f32 s))
(neg.f32 (/.f32 r s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(.f32 (PI.f32) (.f32 r s))
(.f32 r (.f32 s (PI.f32)))
(*.f32 r s)

localize306.0ms (1.9%)

Memory

-28.9MiB live, 595.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.3%	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
✓	accuracy	97.8%	(fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s))
✓	accuracy	56.9%	(fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))
✓	accuracy	10.0%	#s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r)))
✓	accuracy	99.1%	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
✓	accuracy	99.1%	(*.f32 s (PI.f32))
✓	accuracy	8.8%	#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r))
✓	accuracy	99.0%	(*.f32 r (PI.f32))
✓	accuracy	98.8%	(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
✓	accuracy	97.5%	(fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
✓	accuracy	9.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.1%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
✓	accuracy	98.7%	(.f32 (.f32 r s) (PI.f32))
✓	accuracy	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(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32))))
✓	accuracy	99.4%	(.f32 r (.f32 s (PI.f32)))
✓	accuracy	99.2%	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
✓	accuracy	99.1%	(*.f32 s (PI.f32))
✓	accuracy	98.7%	(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))

Samples

162.0ms

256×

valid

Compiler

Compiled 617 to 85 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 39.0ms (32.4% of total)

ival-div: 37.0ms (30.8% of total)

const: 17.0ms (14.1% of total)

ival-add: 12.0ms (10% of total)

ival-exp: 10.0ms (8.3% of total)

ival-neg: 3.0ms (2.5% 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)

series33.0ms (0.2%)

Memory

8.8MiB live, 80.1MiB allocated

Counts

30 → 636

Calls

Call 1

Inputs
#<alt (+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #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 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))>
#<alt (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32))))>
#<alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32))))>
#<alt (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))>
#<alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 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 (+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))>
#<alt (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)>
#<alt (+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))>
#<alt (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))>
#<alt (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))>
#<alt (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)>
#<alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)))>
#<alt (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))>
#<alt (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s))>
#<alt (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))>
#<alt (fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))>
#<alt #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r)))>
#<alt (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))>
#<alt (*.f32 s (PI.f32))>
#<alt (.f32 r (.f32 s (PI.f32)))>
#<alt (PI.f32)>
#<alt (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))>
#<alt (*.f32 r (PI.f32))>
#<alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r))>
#<alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)>
#<alt (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))>
#<alt (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))>

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 (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (neg (/ 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 (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (neg (/ 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 (neg (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (neg (/ 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 (neg (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (neg (/ 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 (* -1/3 (/ 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 (/ 1/4 (* 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 s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* r s)>
#<alt (* 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))>
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#<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 (/ 3/4 r)>
#<alt (/ (+ 3/4 (* -1/4 (/ r s))) r)>
#<alt (/ (+ 3/4 (* r (- (* 1/24 (/ r (pow s 2))) (* 1/4 (/ 1 s))))) r)>
#<alt (/ (+ 3/4 (* r (- (* r (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))))) r)>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (/ 3/4 r)>
#<alt (- (* 3/4 (/ 1 r)) (* 1/4 (/ 1 s)))>
#<alt (- (+ (* 1/24 (/ r (pow s 2))) (* 3/4 (/ 1 r))) (* 1/4 (/ 1 s)))>
#<alt (- (+ (* -1/216 (/ (pow r 2) (pow s 3))) (+ (* 1/24 (/ r (pow s 2))) (* 3/4 (/ 1 r)))) (* 1/4 (/ 1 s)))>
#<alt (/ 3/4 r)>
#<alt (- (* 3/4 (/ 1 r)) (* 1/4 (/ 1 s)))>
#<alt (+ (* -1 (/ (+ 1/4 (* -1/24 (/ r s))) s)) (* 3/4 (/ 1 r)))>
#<alt (+ (* -1 (/ (+ 1/4 (* -1 (/ (+ (* -1/216 (/ (pow r 2) s)) (* 1/24 r)) s))) s)) (* 3/4 (/ 1 r)))>
#<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 (* 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)))>
#<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 (* 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 (/ 1/8 (* 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 (* 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 (/ 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 (/ 1/24 (pow s 2))>
#<alt (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))>
#<alt (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))>
#<alt (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))>
#<alt (* -1/216 (/ r (pow s 3)))>
#<alt (* r (- (* 1/24 (/ 1 (* r (pow s 2)))) (* 1/216 (/ 1 (pow s 3)))))>
#<alt (* r (- (* 1/24 (/ 1 (* r (pow s 2)))) (* 1/216 (/ 1 (pow s 3)))))>
#<alt (* r (- (* 1/24 (/ 1 (* r (pow s 2)))) (* 1/216 (/ 1 (pow s 3)))))>
#<alt (* -1/216 (/ r (pow s 3)))>
#<alt (* -1 (* r (- (* 1/216 (/ 1 (pow s 3))) (* 1/24 (/ 1 (* r (pow s 2)))))))>
#<alt (* -1 (* r (- (* 1/216 (/ 1 (pow s 3))) (* 1/24 (/ 1 (* r (pow s 2)))))))>
#<alt (* -1 (* r (- (* 1/216 (/ 1 (pow s 3))) (* 1/24 (/ 1 (* r (pow s 2)))))))>
#<alt (* -1/216 (/ r (pow s 3)))>
#<alt (/ (+ (* -1/216 r) (* 1/24 s)) (pow s 3))>
#<alt (/ (+ (* -1/216 r) (* 1/24 s)) (pow s 3))>
#<alt (/ (+ (* -1/216 r) (* 1/24 s)) (pow s 3))>
#<alt (/ 1/24 (pow s 2))>
#<alt (/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))>
#<alt (/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))>
#<alt (/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))>
#<alt (/ 1/24 (pow s 2))>
#<alt (/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))>
#<alt (/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))>
#<alt (/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))>

Calls

159 calls:

Time	Variable		Point	Expression
4.0ms	r	@	inf	(/ (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -1/6 (* s (PI)))) s)
1.0ms	r	@	inf	(+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI)))))
1.0ms	s	@	0	(+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI)))))
1.0ms	r	@	0	(+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s))
1.0ms	r	@	inf	(+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s))

simplify598.0ms (3.7%)

Memory

22.7MiB live, 1 022.7MiB allocated

Algorithm

1×	egg-herbie

Rules

20 150×	`lower-fma.f64`
20 150×	`lower-fma.f32`
6 172×	`lower-*.f64`
6 172×	`lower-*.f32`
3 004×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	488	8450
1	1411	8022
2	3719	7860
0	8228	7653

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

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 (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (neg (/ 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 (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (neg (/ 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 (neg (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (neg (/ 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 (neg (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (neg (/ 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))
(* -1/3 (/ 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))
(/ 1/4 (* 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)
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(/ (+ (* -1/216 (pow r 2)) (* 1/24 (* r s))) (pow s 3))
(/ (+ (* -1/216 (pow r 2)) (* s (+ (* -1/4 s) (* 1/24 r)))) (pow s 3))
(/ (+ (* -1/216 (pow r 2)) (* s (+ (* -1/4 s) (* 1/24 r)))) (pow s 3))
(/ -1/4 s)
(/ (- (* 1/24 (/ r s)) 1/4) s)
(/ (- (+ (* -1/216 (/ (pow r 2) (pow s 2))) (* 1/24 (/ r s))) 1/4) s)
(/ (- (+ (* -1/216 (/ (pow r 2) (pow s 2))) (* 1/24 (/ r s))) 1/4) s)
(/ -1/4 s)
(* -1 (/ (+ 1/4 (* -1/24 (/ r s))) s))
(* -1 (/ (+ 1/4 (* -1 (/ (+ (* -1/216 (/ (pow r 2) s)) (* 1/24 r)) s))) s))
(* -1 (/ (+ 1/4 (* -1 (/ (+ (* -1/216 (/ (pow r 2) s)) (* 1/24 r)) s))) 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 (* 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))
(/ 3/4 r)
(/ (+ 3/4 (* -1/4 (/ r s))) r)
(/ (+ 3/4 (* r (- (* 1/24 (/ r (pow s 2))) (* 1/4 (/ 1 s))))) r)
(/ (+ 3/4 (* r (- (* r (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))))) r)
(* 3/4 (/ (exp (* -1/3 (/ r s))) r))
(* 3/4 (/ (exp (* -1/3 (/ r s))) r))
(* 3/4 (/ (exp (* -1/3 (/ r s))) r))
(* 3/4 (/ (exp (* -1/3 (/ r s))) r))
(* 3/4 (/ (exp (* -1/3 (/ r s))) r))
(* 3/4 (/ (exp (* -1/3 (/ r s))) r))
(* 3/4 (/ (exp (* -1/3 (/ r s))) r))
(* 3/4 (/ (exp (* -1/3 (/ r s))) r))
(* 3/4 (/ (exp (* -1/3 (/ r s))) r))
(* 3/4 (/ (exp (* -1/3 (/ r s))) r))
(* 3/4 (/ (exp (* -1/3 (/ r s))) r))
(* 3/4 (/ (exp (* -1/3 (/ r s))) r))
(/ 3/4 r)
(- (* 3/4 (/ 1 r)) (* 1/4 (/ 1 s)))
(- (+ (* 1/24 (/ r (pow s 2))) (* 3/4 (/ 1 r))) (* 1/4 (/ 1 s)))
(- (+ (* -1/216 (/ (pow r 2) (pow s 3))) (+ (* 1/24 (/ r (pow s 2))) (* 3/4 (/ 1 r)))) (* 1/4 (/ 1 s)))
(/ 3/4 r)
(- (* 3/4 (/ 1 r)) (* 1/4 (/ 1 s)))
(+ (* -1 (/ (+ 1/4 (* -1/24 (/ r s))) s)) (* 3/4 (/ 1 r)))
(+ (* -1 (/ (+ 1/4 (* -1 (/ (+ (* -1/216 (/ (pow r 2) s)) (* 1/24 r)) s))) s)) (* 3/4 (/ 1 r)))
(* 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))))
(* 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)))
(/ -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)))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(/ 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))
(* 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)))
(/ 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)))
(/ 1/24 (pow s 2))
(+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))
(+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))
(+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))
(* -1/216 (/ r (pow s 3)))
(* r (- (* 1/24 (/ 1 (* r (pow s 2)))) (* 1/216 (/ 1 (pow s 3)))))
(* r (- (* 1/24 (/ 1 (* r (pow s 2)))) (* 1/216 (/ 1 (pow s 3)))))
(* r (- (* 1/24 (/ 1 (* r (pow s 2)))) (* 1/216 (/ 1 (pow s 3)))))
(* -1/216 (/ r (pow s 3)))
(* -1 (* r (- (* 1/216 (/ 1 (pow s 3))) (* 1/24 (/ 1 (* r (pow s 2)))))))
(* -1 (* r (- (* 1/216 (/ 1 (pow s 3))) (* 1/24 (/ 1 (* r (pow s 2)))))))
(* -1 (* r (- (* 1/216 (/ 1 (pow s 3))) (* 1/24 (/ 1 (* r (pow s 2)))))))
(* -1/216 (/ r (pow s 3)))
(/ (+ (* -1/216 r) (* 1/24 s)) (pow s 3))
(/ (+ (* -1/216 r) (* 1/24 s)) (pow s 3))
(/ (+ (* -1/216 r) (* 1/24 s)) (pow s 3))
(/ 1/24 (pow s 2))
(/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))
(/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))
(/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))
(/ 1/24 (pow s 2))
(/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))
(/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))
(/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))

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 #s(literal -1/6 binary32) (/.f32 r (.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 (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))))) s)
(/ 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)))))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #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)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.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))))
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(+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) #s(literal -1/4 binary32)) s) (/.f32 #s(literal 3/4 binary32) r))
(+ (* -1 (/ (+ 1/4 (* -1 (/ (+ (* -1/216 (/ (pow r 2) s)) (* 1/24 r)) s))) s)) (* 3/4 (/ 1 r)))
(-.f32 (/.f32 #s(literal 3/4 binary32) r) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 r (.f32 (/.f32 r s) #s(literal -1/216 binary32)) (.f32 r #s(literal 1/24 binary32))) s)) s))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.f32 s (PI.f32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 #s(literal 6 binary32) (*.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))
(* s (PI))
(*.f32 s (PI.f32))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
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(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
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(.f32 r (.f32 s (PI.f32)))
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(.f32 r (.f32 s (PI.f32)))
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(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.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)))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)
(/ (+ (* 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)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/1296 binary32) (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (.f32 s (PI.f32)))))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(+.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)))))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/.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)
(/ (- (+ (* -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)
(/.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)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(+.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)))))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.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)
(* -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))
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(/ 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)))
(/ 1/24 (pow s 2))
(/.f32 #s(literal 1/24 binary32) (*.f32 s s))
(+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))
(fma.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))
(+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))
(fma.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))
(+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))
(fma.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))
(* -1/216 (/ r (pow s 3)))
(/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s (*.f32 s s)))
(* r (- (* 1/24 (/ 1 (* r (pow s 2)))) (* 1/216 (/ 1 (pow s 3)))))
(.f32 r (-.f32 (/.f32 #s(literal 1/24 binary32) (.f32 r (.f32 s s))) (/.f32 #s(literal 1/216 binary32) (.f32 s (*.f32 s s)))))
(* r (- (* 1/24 (/ 1 (* r (pow s 2)))) (* 1/216 (/ 1 (pow s 3)))))
(.f32 r (-.f32 (/.f32 #s(literal 1/24 binary32) (.f32 r (.f32 s s))) (/.f32 #s(literal 1/216 binary32) (.f32 s (*.f32 s s)))))
(* r (- (* 1/24 (/ 1 (* r (pow s 2)))) (* 1/216 (/ 1 (pow s 3)))))
(.f32 r (-.f32 (/.f32 #s(literal 1/24 binary32) (.f32 r (.f32 s s))) (/.f32 #s(literal 1/216 binary32) (.f32 s (*.f32 s s)))))
(* -1/216 (/ r (pow s 3)))
(/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s (*.f32 s s)))
(* -1 (* r (- (* 1/216 (/ 1 (pow s 3))) (* 1/24 (/ 1 (* r (pow s 2)))))))
(.f32 r (-.f32 (/.f32 #s(literal 1/24 binary32) (.f32 r (.f32 s s))) (/.f32 #s(literal 1/216 binary32) (.f32 s (*.f32 s s)))))
(* -1 (* r (- (* 1/216 (/ 1 (pow s 3))) (* 1/24 (/ 1 (* r (pow s 2)))))))
(.f32 r (-.f32 (/.f32 #s(literal 1/24 binary32) (.f32 r (.f32 s s))) (/.f32 #s(literal 1/216 binary32) (.f32 s (*.f32 s s)))))
(* -1 (* r (- (* 1/216 (/ 1 (pow s 3))) (* 1/24 (/ 1 (* r (pow s 2)))))))
(.f32 r (-.f32 (/.f32 #s(literal 1/24 binary32) (.f32 r (.f32 s s))) (/.f32 #s(literal 1/216 binary32) (.f32 s (*.f32 s s)))))
(* -1/216 (/ r (pow s 3)))
(/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s (*.f32 s s)))
(/ (+ (* -1/216 r) (* 1/24 s)) (pow s 3))
(/.f32 (fma.f32 r #s(literal -1/216 binary32) (.f32 s #s(literal 1/24 binary32))) (.f32 s (*.f32 s s)))
(/ (+ (* -1/216 r) (* 1/24 s)) (pow s 3))
(/.f32 (fma.f32 r #s(literal -1/216 binary32) (.f32 s #s(literal 1/24 binary32))) (.f32 s (*.f32 s s)))
(/ (+ (* -1/216 r) (* 1/24 s)) (pow s 3))
(/.f32 (fma.f32 r #s(literal -1/216 binary32) (.f32 s #s(literal 1/24 binary32))) (.f32 s (*.f32 s s)))
(/ 1/24 (pow s 2))
(/.f32 #s(literal 1/24 binary32) (*.f32 s s))
(/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/216 binary32) s) #s(literal 1/24 binary32)) (*.f32 s s))
(/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/216 binary32) s) #s(literal 1/24 binary32)) (*.f32 s s))
(/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/216 binary32) s) #s(literal 1/24 binary32)) (*.f32 s s))
(/ 1/24 (pow s 2))
(/.f32 #s(literal 1/24 binary32) (*.f32 s s))
(/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/216 binary32) s) #s(literal 1/24 binary32)) (*.f32 s s))
(/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/216 binary32) s) #s(literal 1/24 binary32)) (*.f32 s s))
(/ (+ 1/24 (* -1/216 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/216 binary32) s) #s(literal 1/24 binary32)) (*.f32 s s))

rewrite474.0ms (3%)

Memory

4.9MiB live, 757.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 056×	`lower-*.f64`
6 018×	`lower-*.f32`
4 108×	`lower-fma.f64`
4 100×	`lower-fma.f32`
3 248×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	497
0	157	487
1	594	453
2	5626	453
0	8922	450

Stop Event

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

Counts

30 → 1 041

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #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 r #s(literal 6 binary32)) (.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 r #s(literal 6 binary32)) (*.f32 s (PI.f32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32))))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 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 #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 (+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
(/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
(+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))
(fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s))
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
#s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r)))
(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(.f32 r (.f32 s (PI.f32)))
(PI.f32)
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
(*.f32 r (PI.f32))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))

Outputs
(+.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (.f32 s (PI.f32))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (.f32 s (PI.f32))))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))
(pow.f32 (/.f32 (.f32 (.f32 r (.f32 s (PI.f32))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) (fma.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 (.f32 (.f32 r (.f32 s (PI.f32))) #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 r (.f32 (.f32 (.f32 s (PI.f32)) #s(literal 2 binary32)) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))))) (fma.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) (-.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (.f32 s (PI.f32)))))) (.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))) (fma.f32 #s(literal 27/64 binary32) (pow.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3 binary32)) (/.f32 (.f32 (exp.f32 (.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1/512 binary32)) (.f32 (.f32 (.f32 r r) r) (.f32 (.f32 s (.f32 s s)) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (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) r))) (.f32 s (PI.f32))) (-.f32 (.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))) (pow.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 s (PI.f32))))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))
(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 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r 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 s (.f32 (PI.f32) #s(literal 6 binary32)))))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r 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 s (.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 2 binary32)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 2 binary32)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 2 binary32)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))
(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 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (.f32 s (PI.f32))))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/8 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 r (.f32 s (PI.f32))))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 r) (.f32 (.f32 s (PI.f32)) #s(literal 2 binary32)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 r) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r 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 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.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 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 r (.f32 s (PI.f32)))) (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 2 binary32)))) (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r 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 (.f32 s (PI.f32)) #s(literal 2 binary32))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r s)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(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 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) r)) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.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 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 2 binary32)))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) (.f32 r s)) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (.f32 s (PI.f32))))))
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(pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) s)) #s(literal -1 binary32))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (*.f32 s (neg.f32 (PI.f32)))))
(/.f32 #s(literal 3/4 binary32) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (PI.f32)) #s(literal 2 binary32)))
(/.f32 #s(literal -1/4 binary32) (neg.f32 (.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))) #s(literal 3/4 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) s)))
(/.f32 #s(literal -1/8 binary32) (*.f32 s (neg.f32 (PI.f32))))
(/.f32 #s(literal -3/4 binary32) (neg.f32 (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))))
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s)
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) s)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal 3/4 binary32) s) (*.f32 (PI.f32) #s(literal 6 binary32)))
(/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (PI.f32) #s(literal 6 binary32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))
(.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))))
(.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))
(.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (.f32 s (neg.f32 (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) #s(literal 1/8 binary32))
(*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)))
(+.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s)))))
(+.f32 (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/24 binary32) (.f32 s s)))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (-.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s))))) (/.f32 (.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 r #s(literal -1/216 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s))))) (+.f32 (/.f32 (.f32 #s(literal -1/10077696 binary32) (.f32 (.f32 r r) r)) (.f32 (.f32 s (.f32 s s)) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s))))) (/.f32 #s(literal 1/13824 binary32) (.f32 (.f32 s (.f32 s s)) (.f32 s (*.f32 s s)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (-.f32 (/.f32 (.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 r #s(literal -1/216 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/576 binary32) (.f32 (.f32 s (*.f32 s s)) s)))) #s(literal -1 binary32))
(fma.f32 r (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 s s))) #s(literal -1/216 binary32)) (/.f32 #s(literal 1/24 binary32) (.f32 s s)))
(fma.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))
(fma.f32 (/.f32 r s) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) (/.f32 #s(literal 1/24 binary32) (.f32 s s)))
(fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))
(fma.f32 #s(literal -1/216 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))
(fma.f32 #s(literal 1/24 binary32) (/.f32 #s(literal 1 binary32) (.f32 s s)) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s)))))
(fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 s s))) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 s s)) #s(literal 1/24 binary32) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s)))))
(fma.f32 (.f32 r #s(literal -1/216 binary32)) (/.f32 #s(literal 1 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal 1/24 binary32) (.f32 s s)))
(fma.f32 (/.f32 #s(literal 1/24 binary32) s) (/.f32 #s(literal 1 binary32) s) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (*.f32 s s)))))
(fma.f32 (/.f32 r (.f32 s s)) (/.f32 #s(literal -1/216 binary32) s) (/.f32 #s(literal 1/24 binary32) (.f32 s s)))
(-.f32 (/.f32 (/.f32 (.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 r #s(literal -1/216 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s)))) (-.f32 (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/24 binary32) (.f32 s s)))) (/.f32 (/.f32 #s(literal 1/576 binary32) (.f32 (.f32 s (.f32 s s)) s)) (-.f32 (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (-.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s))))) (/.f32 (.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 r #s(literal -1/216 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s))))) (+.f32 (/.f32 (.f32 #s(literal -1/10077696 binary32) (.f32 (.f32 r r) r)) (.f32 (.f32 s (.f32 s s)) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s))))) (/.f32 #s(literal 1/13824 binary32) (.f32 (.f32 s (.f32 s s)) (.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (-.f32 (/.f32 (.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 r #s(literal -1/216 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/576 binary32) (.f32 (.f32 s (*.f32 s s)) s)))))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/10077696 binary32) (.f32 (.f32 r r) r)) (.f32 (.f32 s (.f32 s s)) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s))))) (/.f32 #s(literal 1/13824 binary32) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s))))) (fma.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (-.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s))))) (/.f32 (.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 r #s(literal -1/216 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 s (*.f32 s s))))))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/10077696 binary32) (.f32 (.f32 r r) r)) (.f32 (.f32 s (.f32 s s)) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s))))) (/.f32 #s(literal 1/13824 binary32) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s))))) (+.f32 (/.f32 #s(literal 1/576 binary32) (.f32 (.f32 s (.f32 s s)) s)) (-.f32 (/.f32 (.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 r #s(literal -1/216 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s)))) (/.f32 (.f32 (.f32 r #s(literal -1/216 binary32)) #s(literal 1/24 binary32)) (.f32 (.f32 s s) (.f32 s (*.f32 s s)))))))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 r #s(literal -1/216 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/576 binary32) (.f32 (.f32 s (.f32 s s)) s))) (-.f32 (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))))
(/.f32 (fma.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s s)) (.f32 (.f32 s s) (.f32 r #s(literal -1/216 binary32)))) (.f32 (.f32 s s) (.f32 s (*.f32 s s))))
(/.f32 (fma.f32 s (.f32 s s) (.f32 (.f32 (.f32 s s) #s(literal 24 binary32)) (.f32 r #s(literal -1/216 binary32)))) (.f32 (.f32 (.f32 s s) #s(literal 24 binary32)) (.f32 s (.f32 s s))))
(/.f32 (fma.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s s)) (.f32 (neg.f32 (.f32 s s)) (.f32 r #s(literal -1/216 binary32)))) (.f32 (neg.f32 (.f32 s s)) (.f32 s (*.f32 s s))))
(/.f32 (fma.f32 (/.f32 #s(literal 1/24 binary32) s) (.f32 s (.f32 s s)) (.f32 s (.f32 r #s(literal -1/216 binary32)))) (.f32 s (.f32 s (*.f32 s s))))
(/.f32 (fma.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s) (.f32 (.f32 s (.f32 s s)) #s(literal 1/24 binary32))) (.f32 (.f32 s s) (.f32 s (*.f32 s s))))
(/.f32 (fma.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 (.f32 s s) #s(literal 24 binary32)) (.f32 (.f32 s (.f32 s s)) #s(literal 1 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 (*.f32 s s) #s(literal 24 binary32))))
(/.f32 (fma.f32 (.f32 r #s(literal -1/216 binary32)) (neg.f32 (.f32 s s)) (.f32 (.f32 s (.f32 s s)) #s(literal -1/24 binary32))) (.f32 (.f32 s (.f32 s s)) (neg.f32 (*.f32 s s))))
(/.f32 (fma.f32 (.f32 r #s(literal -1/216 binary32)) s (.f32 (.f32 s (.f32 s s)) (/.f32 #s(literal 1/24 binary32) s))) (.f32 (.f32 s (*.f32 s s)) s))
(/.f32 (neg.f32 (+.f32 (/.f32 (.f32 #s(literal -1/10077696 binary32) (.f32 (.f32 r r) r)) (.f32 (.f32 s (.f32 s s)) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s))))) (/.f32 #s(literal 1/13824 binary32) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s)))))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (-.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s))))) (/.f32 (.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 r #s(literal -1/216 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 s (*.f32 s s)))))))
(/.f32 (neg.f32 (-.f32 (/.f32 (.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 r #s(literal -1/216 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/576 binary32) (.f32 (.f32 s (.f32 s s)) s)))) (neg.f32 (-.f32 (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/24 binary32) (*.f32 s s)))))
(/.f32 (-.f32 (/.f32 #s(literal 1/576 binary32) (.f32 (.f32 s (.f32 s s)) s)) (/.f32 (.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 r #s(literal -1/216 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s))))) (-.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (*.f32 s s))))))
(.f32 (+.f32 (/.f32 (.f32 #s(literal -1/10077696 binary32) (.f32 (.f32 r r) r)) (.f32 (.f32 s (.f32 s s)) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s))))) (/.f32 #s(literal 1/13824 binary32) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (-.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s))))) (/.f32 (.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 r #s(literal -1/216 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s)))))))
(.f32 (-.f32 (/.f32 (.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 r #s(literal -1/216 binary32))) (.f32 (.f32 s (.f32 s s)) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/576 binary32) (.f32 (.f32 s (.f32 s s)) s))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s (.f32 s s)))) (/.f32 #s(literal 1/24 binary32) (.f32 s s)))))

eval218.0ms (1.4%)

Memory: -19.2MiB live, 499.8MiB allocated
Compiler: Compiled 70 837 to 4 292 computations (93.9% saved)

prune445.0ms (2.8%)

Memory

23.3MiB live, 823.2MiB allocated

Pruning

99 alts after pruning (96 fresh and 3 done)

	Pruned	Kept	Total
New	2 002	51	2 053
Fresh	21	45	66
Picked	3	2	5
Done	0	1	1
Total	2 026	99	2 125

Accuracy

100.0%

Counts

2 125 → 99

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.9%	(fma.f32 (/.f32 #s(approx (* 3/4 (exp (/ r (* s -3)))) (+.f32 #s(literal 3/4 binary32) (/.f32 (fma.f32 r #s(literal -1/4 binary32) (.f32 #s(literal 1/24 binary32) (.f32 r (/.f32 r s)))) s))) r) (/.f32 #s(literal 1/6 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)))))
	98.0%	(fma.f32 (/.f32 #s(approx (* 3/4 (exp (/ r (* s -3)))) (.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) #s(literal 3/4 binary32))) r) (/.f32 #s(literal 1/6 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)))))
	8.9%	(fma.f32 (/.f32 #s(approx (* 3/4 (exp (/ r (* s -3)))) #s(literal 3/4 binary32)) r) (/.f32 #s(literal 1/6 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)))))
	97.7%	(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 s (.f32 r #s(literal 6 binary32)))) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (.f32 s (PI.f32))))))
	8.9%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	8.6%	(fma.f32 (.f32 #s(approx (/ ( 3/4 (exp (/ r (* s -3)))) r) (+.f32 (/.f32 #s(literal -1/4 binary32) s) (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal 3/4 binary32) r)))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (*.f32 s (PI.f32))))))
	98.1%	(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 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 (.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
	98.1%	(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	98.0%	(fma.f32 (exp.f32 (.f32 (log.f32 (/.f32 r (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))) (/.f32 #s(literal 1/6 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)))))
	8.6%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (/.f32 (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s (.f32 s s))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) #s(literal -1/4 binary32)) s)) #s(literal 3/4 binary32)) r)) (/.f32 #s(literal 1/6 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)))))
	8.5%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s s))) (.f32 r #s(literal -1/216 binary32)) (fma.f32 r (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (/.f32 #s(literal -1/4 binary32) s))) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
	8.5%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
	5.9%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	9.9%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) #s(literal -1/4 binary32)) s) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
	9.8%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (fma.f32 r #s(literal -1/216 binary32) (.f32 s #s(literal 1/24 binary32))) (.f32 (.f32 s s) #s(literal -1/4 binary32))) (.f32 s (.f32 s s)))) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
▶	9.8%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
	8.5%	(/.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) r) (.f32 s (PI.f32)) (.f32 (.f32 s (PI.f32)) (.f32 #s(approx (/ ( 3/4 (exp (/ r (* s -3)))) r) (+.f32 (/.f32 #s(literal -1/4 binary32) s) (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal 3/4 binary32) r)))) #s(literal 1/6 binary32)))) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32))))
	99.6%	(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) r)) r (.f32 (.f32 s (PI.f32)) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (.f32 r (.f32 s (PI.f32))))
	8.6%	(/.f32 (fma.f32 (.f32 #s(approx (/ ( 3/4 (exp (/ r (* s -3)))) r) (+.f32 (/.f32 #s(literal -1/4 binary32) s) (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal 3/4 binary32) r)))) #s(literal 1/6 binary32)) (.f32 r (.f32 s (PI.f32))) (.f32 (.f32 s (PI.f32)) (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))))) (.f32 (.f32 s (PI.f32)) (.f32 r (.f32 s (PI.f32)))))
	99.6%	(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
	99.7%	(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))))
	99.5%	(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #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 r #s(literal 6 binary32)) (.f32 s (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))))))
▶	99.7%	(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r 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 #s(literal -3 binary32))))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))
	99.4%	(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))))
	10.0%	(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI)))) (/.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)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) 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))))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s) r)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) r)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))) #s(literal 3/4 binary32))) r)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) s))) r)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 3/4 binary32) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) r)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r)))
▶	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32)))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 s (PI.f32)))))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -1/1296 binary32) (.f32 r r)) (.f32 s (PI.f32)))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) r)) (PI.f32))))
	5.4%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s)) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (/.f32 (fma.f32 r (.f32 (/.f32 s (PI.f32)) #s(literal 1/144 binary32)) (.f32 r (.f32 (/.f32 r (PI.f32)) #s(literal -1/1296 binary32)))) (.f32 s (*.f32 s s)))) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/8 binary32) r)))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r s) (/.f32 #s(literal 1/8 binary32) (PI.f32))))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) s))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r s) (PI.f32)))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))))
	7.7%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)))
	7.7%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.8%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	6.0%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	9.0%	(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)))
	7.6%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)))
	7.3%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 r (PI.f32)) (.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.3%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 #s(literal 1/16 binary32) (/.f32 r (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)))
	7.1%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	98.1%	(.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 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r))) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))))
	99.6%	(.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)))
	8.4%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.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))
▶	9.4%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* 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))))) s))
	9.1%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 7/324 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s)) s))
	99.6%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r))
	99.6%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.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))))) s))
	8.4%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (+.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))))))
	9.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (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))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (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 (/.f32 #s(literal 1/4 binary32) r) (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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) 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 #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 (/.f32 #s(literal 1/4 binary32) (*.f32 r (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 (/.f32 #s(literal 1/4 binary32) (*.f32 r 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 #s(literal 1/4 binary32) (PI.f32)) (*.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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
	9.4%	#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 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
✓	9.4%	#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 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
	9.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	4.0%	#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(approx (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/.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))
	8.4%	#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 #s(approx (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
	8.4%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -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))
	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(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) 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 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.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(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (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 #s(literal 1/4 binary32) (.f32 (.f32 r (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(literal 1/4 binary32) (.f32 (.f32 r 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 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	9.4%	#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 (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))))))
	8.5%	#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 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32))))
	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 #s(literal 1/4 binary32) (.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
	9.4%	#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 (/ (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -1/6 (* s (PI)))) s) (/.f32 (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 (.f32 s s)))))
	4.0%	#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 (/ (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -1/6 (* s (PI)))) s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (.f32 s (*.f32 s s)))))
	5.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -1/6 (* s (PI)))) s) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (.f32 s (PI.f32)))))))
	8.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -1/6 (* s (PI)))) s) (.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 r (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 r (.f32 s (.f32 s (PI.f32))))))))))

Compiler

Compiled 5 531 to 3 528 computations (36.2% saved)

simplify357.0ms (2.2%)

Memory

-14.4MiB live, 489.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r)))
✓	cost-diff	0	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
✓	cost-diff	64	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
✓	cost-diff	320	(fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32)))
✓	cost-diff	0	(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
✓	cost-diff	0	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)))
✓	cost-diff	192	(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)
✓	cost-diff	224	(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
✓	cost-diff	0	(+.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)))))
✓	cost-diff	0	(/.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)
✓	cost-diff	0	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* 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))))) s))
✓	cost-diff	0	(*.f32 r (PI.f32))
✓	cost-diff	0	(.f32 (.f32 r (PI.f32)) s)
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
✓	cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)))
✓	cost-diff	0	(*.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32))
✓	cost-diff	64	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32))))
✓	cost-diff	160	(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32))))
✓	cost-diff	768	(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r 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 #s(literal -3 binary32))))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))

Rules

5 086×	`lower-*.f64`
5 076×	`lower-fma.f64`
5 068×	`lower-fma.f32`
5 048×	`lower-*.f32`
3 652×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	788
0	180	778
1	349	748
2	816	727
3	2111	713
4	3915	701
5	4064	701
6	4397	701
7	4907	701
8	5116	701
9	5218	701
10	6179	701
11	7105	701
12	7164	701
13	7164	701
14	7170	701
15	7170	701
0	8398	681

Stop Event

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

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r 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 #s(literal -3 binary32))))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32))))
(*.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32))
(exp.f32 (neg.f32 (/.f32 r s)))
(neg.f32 (/.f32 r s))
(/.f32 r s)
r
s
#s(literal 1/8 binary32)
(.f32 r (.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32))))
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 s #s(literal -3 binary32))
#s(literal -3 binary32)
(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))
(*.f32 r #s(literal 6 binary32))
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 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 (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* 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))))) s))
(/.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)
(+.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))
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 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 (.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 (PI.f32))) s)))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 r (PI.f32))
(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
#s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r)))
(+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r))
#s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s))
(/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)
(fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32)))
r
(/.f32 #s(literal 1/24 binary32) s)
#s(literal 1/24 binary32)
s
(fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))
(*.f32 r r)
(/.f32 #s(literal -1/216 binary32) (*.f32 s s))
#s(literal -1/216 binary32)
(*.f32 s s)
#s(literal -1/4 binary32)
(/.f32 #s(literal 3/4 binary32) r)
#s(literal 3/4 binary32)
(/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32)))
#s(literal 1/6 binary32)
(*.f32 s (PI.f32))
(PI.f32)
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))
#s(literal 1/8 binary32)
(.f32 (PI.f32) (.f32 r s))
(*.f32 r s)

Outputs
(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r 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 #s(literal -3 binary32))))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(*.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32))
(*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s))))
(exp.f32 (neg.f32 (/.f32 r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(neg.f32 (/.f32 r s))
(/.f32 r (neg.f32 s))
(/.f32 r s)
r
s
#s(literal 1/8 binary32)
(.f32 r (.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32))))
(.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 s #s(literal -3 binary32))
#s(literal -3 binary32)
(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 r #s(literal 6 binary32))
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(.f32 (.f32 r (PI.f32)) s)
(.f32 r (.f32 s (PI.f32)))
(*.f32 r (PI.f32))
r
(PI.f32)
s
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* 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))))) s))
#s(approx (+ (/ (* 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))) (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))
(/.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)
(+.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))
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 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 (.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 (PI.f32))) s)))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s))))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 (neg.f32 r) s)
(/.f32 r (neg.f32 s))
(neg.f32 r)
r
s
(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 r (PI.f32))
(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) #s(literal -1/216 binary32) #s(literal 1/24 binary32)) #s(literal -1/4 binary32)) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
#s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r)))
#s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) #s(literal -1/216 binary32) #s(literal 1/24 binary32)) #s(literal -1/4 binary32)) s)) (/.f32 #s(literal 3/4 binary32) r)))
(+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r))
(+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) #s(literal -1/216 binary32) #s(literal 1/24 binary32)) #s(literal -1/4 binary32)) s)) (/.f32 #s(literal 3/4 binary32) r))
#s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s))
#s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) #s(literal -1/216 binary32) #s(literal 1/24 binary32)) #s(literal -1/4 binary32)) s))
(/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)
(/.f32 (fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) #s(literal -1/216 binary32) #s(literal 1/24 binary32)) #s(literal -1/4 binary32)) s)
(fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32)))
(fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) #s(literal -1/216 binary32) #s(literal 1/24 binary32)) #s(literal -1/4 binary32))
r
(/.f32 #s(literal 1/24 binary32) s)
#s(literal 1/24 binary32)
s
(fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(*.f32 r r)
(/.f32 #s(literal -1/216 binary32) (*.f32 s s))
#s(literal -1/216 binary32)
(*.f32 s s)
#s(literal -1/4 binary32)
(/.f32 #s(literal 3/4 binary32) r)
#s(literal 3/4 binary32)
(/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32)))
#s(literal 1/6 binary32)
(*.f32 s (PI.f32))
(PI.f32)
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
#s(literal 1/8 binary32)
(.f32 (PI.f32) (.f32 r s))
(.f32 r (.f32 s (PI.f32)))
(*.f32 r s)

localize334.0ms (2.1%)

Memory

22.2MiB live, 589.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 r s))
✓	accuracy	98.3%	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
✓	accuracy	98.0%	(fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))
✓	accuracy	10.0%	#s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r)))
✓	accuracy	99.1%	(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
✓	accuracy	99.0%	(*.f32 r (PI.f32))
✓	accuracy	8.8%	#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s))
✓	accuracy	98.8%	(/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))
✓	accuracy	98.8%	(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
✓	accuracy	98.6%	(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	9.5%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* 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))))) s))
✓	accuracy	99.1%	(.f32 (.f32 r (PI.f32)) s)
✓	accuracy	99.1%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
✓	accuracy	99.0%	(*.f32 r (PI.f32))
✓	accuracy	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(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)))
✓	accuracy	99.4%	(.f32 r (.f32 s (PI.f32)))
✓	accuracy	99.2%	(/.f32 r (*.f32 s #s(literal -3 binary32)))
✓	accuracy	99.1%	(*.f32 s (PI.f32))
✓	accuracy	98.7%	(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))

Samples

200.0ms

256×

valid

Compiler

Compiled 628 to 95 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-div: 65.0ms (41.5% of total)

ival-mult: 47.0ms (30% of total)

const: 16.0ms (10.2% of total)

ival-add: 12.0ms (7.7% of total)

ival-exp: 11.0ms (7% of total)

ival-neg: 3.0ms (1.9% of total)

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

exact: 1.0ms (0.6% of total)

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

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

series28.0ms (0.2%)

Memory

-32.7MiB live, 46.0MiB allocated

Counts

32 → 684

Calls

Call 1

Inputs
#<alt (+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r 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 #s(literal -3 binary32))))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))>
#<alt (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32))))>
#<alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32))))>
#<alt (*.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32))>
#<alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)))>
#<alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))>
#<alt (.f32 (.f32 r (PI.f32)) s)>
#<alt (*.f32 r (PI.f32))>
#<alt #s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* 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))))) s))>
#<alt (/.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)>
#<alt (+.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)))))>
#<alt (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))>
#<alt (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))>
#<alt (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)>
#<alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)))>
#<alt (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))>
#<alt (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32)))>
#<alt (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))>
#<alt (fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))>
#<alt #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r)))>
#<alt (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))>
#<alt (*.f32 s (PI.f32))>
#<alt (/.f32 r (*.f32 s #s(literal -3 binary32)))>
#<alt (.f32 r (.f32 s (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 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))>
#<alt (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))>
#<alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s))>
#<alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)>
#<alt (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))>
#<alt (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))>
#<alt (.f32 (PI.f32) (.f32 r s))>

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 (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (neg (/ 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 (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (neg (/ 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 (neg (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (neg (/ 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 (neg (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (neg (/ 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>
#<alt (+ 1/8 (* -1/8 (/ r s)))>
#<alt (+ 1/8 (* r (- (* 1/16 (/ r (pow s 2))) (* 1/8 (/ 1 s)))))>
#<alt (+ 1/8 (* r (- (* r (+ (* -1/48 (/ r (pow s 3))) (* 1/16 (/ 1 (pow s 2))))) (* 1/8 (/ 1 s)))))>
#<alt (* 1/8 (exp (neg (/ r s))))>
#<alt (* 1/8 (exp (neg (/ r s))))>
#<alt (* 1/8 (exp (neg (/ r s))))>
#<alt (* 1/8 (exp (neg (/ r s))))>
#<alt (* 1/8 (exp (* -1 (/ r s))))>
#<alt (* 1/8 (exp (* -1 (/ r s))))>
#<alt (* 1/8 (exp (* -1 (/ r s))))>
#<alt (* 1/8 (exp (* -1 (/ r s))))>
#<alt (* 1/8 (exp (neg (/ r s))))>
#<alt (* 1/8 (exp (neg (/ r s))))>
#<alt (* 1/8 (exp (neg (/ r s))))>
#<alt (* 1/8 (exp (neg (/ r s))))>
#<alt 1/8>
#<alt (+ 1/8 (* -1/8 (/ r s)))>
#<alt (+ 1/8 (+ (* -1/8 (/ r s)) (* 1/16 (/ (pow r 2) (pow s 2)))))>
#<alt (+ 1/8 (+ (* -1/8 (/ r s)) (+ (* -1/48 (/ (pow r 3) (pow s 3))) (* 1/16 (/ (pow r 2) (pow s 2))))))>
#<alt 1/8>
#<alt (+ 1/8 (* -1/8 (/ r s)))>
#<alt (+ 1/8 (* -1 (/ (+ (* -1/16 (/ (pow r 2) s)) (* 1/8 r)) s)))>
#<alt (+ 1/8 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 3) s)) (* 1/16 (pow r 2))) s)) (* 1/8 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))))>
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#<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 (* 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 (/ 3/4 r)>
#<alt (/ (+ 3/4 (* -1/4 (/ r s))) r)>
#<alt (/ (+ 3/4 (* r (- (* 1/24 (/ r (pow s 2))) (* 1/4 (/ 1 s))))) r)>
#<alt (/ (+ 3/4 (* r (- (* r (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s))))) r)>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (* 3/4 (/ (exp (* -1/3 (/ r s))) r))>
#<alt (/ 3/4 r)>
#<alt (- (* 3/4 (/ 1 r)) (* 1/4 (/ 1 s)))>
#<alt (- (+ (* 1/24 (/ r (pow s 2))) (* 3/4 (/ 1 r))) (* 1/4 (/ 1 s)))>
#<alt (- (+ (* -1/216 (/ (pow r 2) (pow s 3))) (+ (* 1/24 (/ r (pow s 2))) (* 3/4 (/ 1 r)))) (* 1/4 (/ 1 s)))>
#<alt (/ 3/4 r)>
#<alt (- (* 3/4 (/ 1 r)) (* 1/4 (/ 1 s)))>
#<alt (+ (* -1 (/ (+ 1/4 (* -1/24 (/ r s))) s)) (* 3/4 (/ 1 r)))>
#<alt (+ (* -1 (/ (+ 1/4 (* -1 (/ (+ (* -1/216 (/ (pow r 2) s)) (* 1/24 r)) s))) s)) (* 3/4 (/ 1 r)))>
#<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 (* 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 (* -1/3 (/ 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 (* 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 (/ -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 (/ -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 (/ 5/72 (* (pow s 2) (PI)))>
#<alt (/ 5/72 (* (pow s 2) (PI)))>
#<alt (/ 5/72 (* (pow s 2) (PI)))>
#<alt (/ 5/72 (* (pow s 2) (PI)))>
#<alt (/ 5/72 (* (pow s 2) (PI)))>
#<alt (/ 5/72 (* (pow s 2) (PI)))>
#<alt (/ 5/72 (* (pow s 2) (PI)))>
#<alt (/ 5/72 (* (pow s 2) (PI)))>
#<alt (/ 5/72 (* (pow s 2) (PI)))>
#<alt (/ 5/72 (* (pow s 2) (PI)))>
#<alt (/ 5/72 (* (pow s 2) (PI)))>
#<alt (/ 5/72 (* (pow s 2) (PI)))>
#<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 (* 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 (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt -1/4>
#<alt (- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)>
#<alt (- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)>
#<alt (- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)>
#<alt (* -1/216 (/ (pow r 2) (pow s 2)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/216 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow r 2))))))>
#<alt (* -1 (* (pow r 2) (+ (* 1/216 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow r 2))))))>
#<alt (* -1 (* (pow r 2) (+ (* 1/216 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow r 2))))))>
#<alt (* -1/216 (/ (pow r 2) (pow s 2)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/216 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow r 2))))))>
#<alt (* -1 (* (pow r 2) (+ (* 1/216 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow r 2))))))>
#<alt (* -1 (* (pow r 2) (+ (* 1/216 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow r 2))))))>
#<alt (* -1/216 (/ (pow r 2) (pow s 2)))>
#<alt (/ (+ (* -1/4 (pow s 2)) (* -1/216 (pow r 2))) (pow s 2))>
#<alt (/ (+ (* -1/4 (pow s 2)) (* -1/216 (pow r 2))) (pow s 2))>
#<alt (/ (+ (* -1/4 (pow s 2)) (* -1/216 (pow r 2))) (pow s 2))>
#<alt -1/4>
#<alt (- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)>
#<alt (- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)>
#<alt (- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)>
#<alt -1/4>
#<alt (- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)>
#<alt (- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)>
#<alt (- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)>
#<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

171 calls:

Time	Variable		Point	Expression
5.0ms	s	@	inf	(* (exp (neg (/ r s))) 1/8)
0.0ms	s	@	0	(/ 5/72 (* s (* s (PI))))
0.0ms	r	@	inf	(+ (* r (/ 1/24 s)) (+ (* (* r r) (/ -1/216 (* s s))) -1/4))
0.0ms	s	@	inf	(/ 5/72 (* s (* s (PI))))
0.0ms	r	@	0	(/ 1/4 (* r (PI)))

simplify600.0ms (3.7%)

Memory

4.7MiB live, 969.9MiB allocated

Algorithm

1×	egg-herbie

Rules

22 270×	`lower-fma.f64`
22 270×	`lower-fma.f32`
6 942×	`lower-*.f64`
6 942×	`lower-*.f32`
3 208×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	515	8770
1	1496	8322
2	3970	8148
0	8927	7915

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

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 (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (neg (/ 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 (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (neg (/ 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 (pow s 2)) (* -1/216 (pow r 2))) (pow s 2))
-1/4
(- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)
(- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)
(- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)
-1/4
(- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)
(- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)
(- (* -1/216 (/ (pow r 2) (pow s 2))) 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)))

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 #s(literal -1/6 binary32) (/.f32 r (.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 (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (neg (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))))) s)
(/ 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)))))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (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)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.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 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (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)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 7/324 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal -5/72 binary32)) (PI.f32))) s)) s)) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)
(/ (+ (* 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)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/1296 binary32) (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (.f32 s (PI.f32)))))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(+.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)))))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/.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)
(/ (- (+ (* -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)
(/.f32 (fma.f32 (.f32 r #s(literal -1/1296 binary32)) (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(+.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)))))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.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)
(* -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))
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) 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)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s (.f32 s (PI.f32)))))) (/.f32 #s(literal -1/8 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (neg (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (*.f32 s (PI.f32)))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (.f32 s (PI.f32)))))
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
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(/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)
(/ (+ (* 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)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/1296 binary32) (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (.f32 s (PI.f32)))))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (.f32 s (PI.f32)))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(+.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)))))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/.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)
(/ (- (+ (* -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)
(/.f32 (fma.f32 (.f32 r #s(literal -1/1296 binary32)) (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(+.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)))))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.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)
(* -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))
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)
(* 2 (* s (PI)))
(.f32 (PI.f32) (.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 (PI.f32) (.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 (PI.f32) (.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 (PI.f32) (.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 (PI.f32) (.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 (PI.f32) (.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 (PI.f32) (.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 (PI.f32) (.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 (PI.f32) (.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 (PI.f32) (.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 (PI.f32) (.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 (PI.f32) (.f32 s #s(literal 2 binary32)))
(/ 1/8 (* r (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(/ 1/8 (* r (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(/ 1/8 (* r (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(/ 1/8 (* r (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(/ 1/8 (* r (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(/ 1/8 (* r (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(/ 1/8 (* r (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(/ 1/8 (* r (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(/ 1/8 (* r (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(/ 1/8 (* r (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(/ 1/8 (* r (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(/ 1/8 (* r (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
-1/4
#s(literal -1/4 binary32)
(- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(* -1/216 (/ (pow r 2) (pow s 2)))
(/.f32 (.f32 r (.f32 r #s(literal -1/216 binary32))) (*.f32 s s))
(* -1 (* (pow r 2) (+ (* 1/216 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow r 2))))))
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(* -1 (* (pow r 2) (+ (* 1/216 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow r 2))))))
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(* -1 (* (pow r 2) (+ (* 1/216 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow r 2))))))
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(* -1/216 (/ (pow r 2) (pow s 2)))
(/.f32 (.f32 r (.f32 r #s(literal -1/216 binary32))) (*.f32 s s))
(* -1 (* (pow r 2) (+ (* 1/216 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow r 2))))))
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(* -1 (* (pow r 2) (+ (* 1/216 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow r 2))))))
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(* -1 (* (pow r 2) (+ (* 1/216 (/ 1 (pow s 2))) (* 1/4 (/ 1 (pow r 2))))))
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(* -1/216 (/ (pow r 2) (pow s 2)))
(/.f32 (.f32 r (.f32 r #s(literal -1/216 binary32))) (*.f32 s s))
(/ (+ (* -1/4 (pow s 2)) (* -1/216 (pow r 2))) (pow s 2))
(/.f32 (fma.f32 r (.f32 r #s(literal -1/216 binary32)) (.f32 s (.f32 s #s(literal -1/4 binary32)))) (.f32 s s))
(/ (+ (* -1/4 (pow s 2)) (* -1/216 (pow r 2))) (pow s 2))
(/.f32 (fma.f32 r (.f32 r #s(literal -1/216 binary32)) (.f32 s (.f32 s #s(literal -1/4 binary32)))) (.f32 s s))
(/ (+ (* -1/4 (pow s 2)) (* -1/216 (pow r 2))) (pow s 2))
(/.f32 (fma.f32 r (.f32 r #s(literal -1/216 binary32)) (.f32 s (.f32 s #s(literal -1/4 binary32)))) (.f32 s s))
-1/4
#s(literal -1/4 binary32)
(- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
-1/4
#s(literal -1/4 binary32)
(- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(- (* -1/216 (/ (pow r 2) (pow s 2))) 1/4)
(fma.f32 r (/.f32 (.f32 r #s(literal -1/216 binary32)) (.f32 s s)) #s(literal -1/4 binary32))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))
(* r (* s (PI)))
(.f32 r (.f32 s (PI.f32)))

rewrite397.0ms (2.5%)

Memory

17.1MiB live, 613.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 692×	`lower-*.f64`
4 654×	`lower-*.f32`
3 406×	`lower-/.f64`
3 366×	`lower-/.f32`
3 316×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	544
0	180	538
1	698	508
2	6576	508
0	8045	498

Stop Event

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

Counts

32 → 1 061

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r 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 #s(literal -3 binary32))))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))
(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (*.f32 s (PI.f32))))
(*.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* 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))))) s))
(/.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)
(+.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)))
(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32)))
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
#s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r)))
(.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(.f32 r (.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 -1/6 binary32) (*.f32 s (PI.f32)))
(/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))
(.f32 (PI.f32) (.f32 r s))

Outputs
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (.f32 s (PI.f32))))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 3/4 binary32) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 r s))))))
(+.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 3/4 binary32) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 r s))))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (.f32 s (PI.f32))))))
(pow.f32 (/.f32 (.f32 (.f32 s (PI.f32)) (.f32 r (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 r s))))) (fma.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 r s)))) (.f32 (.f32 r (.f32 s (PI.f32))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))) #s(literal -1 binary32))
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(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (.f32 s s))) (-.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) #s(literal -1/4 binary32)) (.f32 s s)))) (fma.f32 (/.f32 (.f32 r r) (.f32 (.f32 s s) #s(literal -216 binary32))) (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (*.f32 s s))) #s(literal -1/64 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal 1/4 binary32)) (+.f32 (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (.f32 s s))) #s(literal -1/16 binary32))))
(/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (.f32 s s) #s(literal -216 binary32))) (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (.f32 s s))) #s(literal -1/64 binary32)) (+.f32 (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (.f32 s s))) (-.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) #s(literal -1/4 binary32)) (*.f32 s s)))))
(/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (.f32 s s) #s(literal -216 binary32))) (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (.f32 s s))) #s(literal -1/64 binary32)) (+.f32 #s(literal 1/16 binary32) (-.f32 (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (.f32 s s))) (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) #s(literal -1/4 binary32)) (*.f32 s s)))))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (.f32 s s))) #s(literal -1/16 binary32)) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal 1/4 binary32)))
(/.f32 (neg.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (.f32 s s) #s(literal -216 binary32))) (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (.f32 s s))) #s(literal -1/64 binary32))) (neg.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (.f32 s s))) (-.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) #s(literal -1/4 binary32)) (*.f32 s s))))))
(/.f32 (neg.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (.f32 s s))) #s(literal -1/16 binary32))) (neg.f32 (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal 1/4 binary32))))
(/.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (.f32 s s)))) (-.f32 #s(literal -1/4 binary32) (/.f32 (.f32 r r) (.f32 (*.f32 s s) #s(literal -216 binary32)))))
(.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (.f32 s s) #s(literal -216 binary32))) (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (.f32 s s))) #s(literal -1/64 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (.f32 s s))) (-.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) #s(literal -1/4 binary32)) (.f32 s s))))))
(.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 r r) #s(literal -1/216 binary32)) (.f32 (.f32 r r) #s(literal -1/216 binary32))) (.f32 (.f32 s s) (.f32 s s))) #s(literal -1/16 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (*.f32 s s)) #s(literal 1/4 binary32))))
(.f32 r (.f32 s (PI.f32)))
(.f32 s (.f32 r (PI.f32)))
(.f32 (PI.f32) (.f32 r s))
(.f32 (.f32 s (PI.f32)) r)
(.f32 (.f32 r (PI.f32)) s)
(.f32 (.f32 r s) (PI.f32))
(.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)))
(.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

eval264.0ms (1.6%)

Memory: 16.2MiB live, 392.4MiB allocated
Compiler: Compiled 63 049 to 3 437 computations (94.5% saved)

prune406.0ms (2.5%)

Memory

-17.6MiB live, 881.6MiB allocated

Pruning

109 alts after pruning (104 fresh and 5 done)

	Pruned	Kept	Total
New	1 831	34	1 865
Fresh	21	70	91
Picked	3	2	5
Done	0	3	3
Total	1 855	109	1 964

Accuracy

100.0%

Counts

1 964 → 109

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 r s)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (*.f32 s (PI.f32))))))
	9.9%	(fma.f32 (/.f32 #s(approx (* 3/4 (exp (/ r (* s -3)))) (+.f32 #s(literal 3/4 binary32) (/.f32 (fma.f32 r #s(literal -1/4 binary32) (.f32 #s(literal 1/24 binary32) (.f32 r (/.f32 r s)))) s))) r) (/.f32 #s(literal 1/6 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)))))
	98.0%	(fma.f32 (/.f32 #s(approx (* 3/4 (exp (/ r (* s -3)))) (.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) #s(literal 3/4 binary32))) r) (/.f32 #s(literal 1/6 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)))))
	8.9%	(fma.f32 (/.f32 #s(approx (* 3/4 (exp (/ r (* s -3)))) #s(literal 3/4 binary32)) r) (/.f32 #s(literal 1/6 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)))))
	97.7%	(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 s (.f32 r #s(literal 6 binary32)))) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (.f32 s (PI.f32))))))
	9.9%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) #s(approx (/ ( 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (+.f32 (/.f32 #s(literal 1/24 binary32) s) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s s)))) #s(literal -1/4 binary32)) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (*.f32 s (PI.f32))))))
	8.9%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	98.1%	(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 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 (.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
	98.1%	(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	98.0%	(fma.f32 (exp.f32 (.f32 (log.f32 (/.f32 r (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))) (/.f32 #s(literal 1/6 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)))))
	8.5%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 3/4 binary32)) r)) (/.f32 #s(literal 1/6 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)))))
	8.5%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s s))) (.f32 r #s(literal -1/216 binary32)) (fma.f32 r (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (/.f32 #s(literal -1/4 binary32) s))) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
	9.9%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) #s(literal -1/4 binary32)) s) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
	9.8%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (fma.f32 r #s(literal -1/216 binary32) (.f32 s #s(literal 1/24 binary32))) (.f32 (.f32 s s) #s(literal -1/4 binary32))) (.f32 s (.f32 s s)))) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
	9.8%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r s))))
	9.9%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))))
	7.1%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal -1/216 binary32) (.f32 s s)) #s(literal -1/4 binary32))) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) #s(approx ( (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	9.8%	(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 #s(approx (+ (* r (/ 1/24 s)) (+ (* (* r r) (/ -1/216 (* s s))) -1/4)) (/.f32 (fma.f32 r (.f32 r #s(literal -1/216 binary32)) (.f32 s (fma.f32 s #s(literal -1/4 binary32) (.f32 r #s(literal 1/24 binary32))))) (.f32 s s))) s)) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
	99.6%	(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) r)) r (.f32 (.f32 s (PI.f32)) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (.f32 r (.f32 s (PI.f32))))
	9.9%	(/.f32 (fma.f32 (.f32 #s(approx (/ ( 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (+.f32 (/.f32 #s(literal 1/24 binary32) s) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s s)))) #s(literal -1/4 binary32)) s)) (/.f32 #s(literal 3/4 binary32) r))) #s(literal 1/6 binary32)) (.f32 r (.f32 s (PI.f32))) (.f32 (.f32 s (PI.f32)) (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))))) (.f32 (.f32 s (PI.f32)) (.f32 r (*.f32 s (PI.f32)))))
	99.6%	(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
	99.7%	(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))))
	99.5%	(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #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 r #s(literal 6 binary32)) (.f32 s (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))))))
	99.4%	(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))))
	10.0%	(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI)))) (/.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)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) 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))))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s) r)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))) #s(literal 3/4 binary32))) r)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) s))) r)))
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	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 3/4 binary32) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) r)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32)))))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 s (PI.f32)))))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -1/1296 binary32) (.f32 r r)) (.f32 s (PI.f32)))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)))
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	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (*.f32 r (PI.f32)) #s(literal 8 binary32)) s))))
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	99.7%	(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))
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	7.3%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (.f32 #s(literal 1/16 binary32) (/.f32 r (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)))
	7.1%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	98.1%	(.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 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r))) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))))
	99.6%	(.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)))
	8.4%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.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))
	9.4%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) 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))
	9.4%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (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))
✓	9.4%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* 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))))) s))
	9.1%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 7/324 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal -5/72 binary32)) (PI.f32))) s)) s)) s))
	8.4%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) #s(approx (+ ( r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
	99.6%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r))
	99.6%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.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))))) s))
	8.4%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 #s(approx (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -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))
	8.5%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 #s(approx (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
	8.4%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (+.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))))))
	9.4%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) s) (/.f32 (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 s (.f32 s s)))))
	4.0%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (.f32 s (*.f32 s s)))))
	5.0%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) s) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (.f32 s (PI.f32)))))))
	8.1%	#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) s) (.f32 r (+.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 r (.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (.f32 r (.f32 s (.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 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (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 (/.f32 #s(literal 1/4 binary32) r) (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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) 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 #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 (/.f32 #s(literal 1/4 binary32) (*.f32 r 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 #s(literal 1/4 binary32) (PI.f32)) (*.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 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (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 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
✓	9.4%	#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 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
	9.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	4.0%	#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(approx (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/.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))
	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(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) 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 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.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(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (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 #s(literal 1 binary32) (.f32 s (.f32 (*.f32 r (PI.f32)) #s(literal 4 binary32)))))
	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(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (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(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (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 #s(literal 1/4 binary32) (.f32 (.f32 r (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(literal 1/4 binary32) (.f32 (.f32 r 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 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	9.4%	#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 (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))))))
	8.5%	#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 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 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 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))

Compiler

Compiled 7 799 to 2 610 computations (66.5% saved)

regimes191.0ms (1.2%)

Memory

35.2MiB live, 345.2MiB allocated

Counts

173 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (.f32 s (.f32 (*.f32 r (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
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#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 (/ (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -1/6 (* s (PI)))) s) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (.f32 s (PI.f32)))))))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) s) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.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 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
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#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) #s(approx (+ ( r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
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#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (.f32 s (*.f32 s s)))))
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#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 #s(approx (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -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 (+.f32 #s(approx (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/.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))
#s(approx (+ (/ (* 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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(fma.f32 (/.f32 #s(approx (* 3/4 (exp (/ r (* s -3)))) (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 3/4 binary32))) r) (/.f32 #s(literal 1/6 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 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s s))) (.f32 r #s(literal -1/216 binary32)) (fma.f32 r (/.f32 #s(literal 1/24 binary32) (.f32 s s)) (/.f32 #s(literal -1/4 binary32) s))) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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 #s(approx (* 3/4 (exp (/ r (* s -3)))) (-.f32 #s(literal 3/4 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) r (/.f32 (fma.f32 (.f32 r (.f32 r (/.f32 r s))) #s(literal 1/216 binary32) (.f32 r (.f32 r #s(literal -1/24 binary32)))) s)) s))) r) (/.f32 #s(literal 1/6 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)))))
(/.f32 (fma.f32 (.f32 #s(approx (/ ( 3/4 (exp (/ r (* s -3)))) r) (+.f32 #s(approx (+ (* r (+ (* (/ r (* s (* s s))) -1/216) (/ 1/24 (* s s)))) (/ -1/4 s)) (/.f32 (fma.f32 r (+.f32 (/.f32 #s(literal 1/24 binary32) s) (.f32 r (/.f32 #s(literal -1/216 binary32) (.f32 s s)))) #s(literal -1/4 binary32)) s)) (/.f32 #s(literal 3/4 binary32) r))) #s(literal 1/6 binary32)) (.f32 r (.f32 s (PI.f32))) (.f32 (.f32 s (PI.f32)) (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))))) (.f32 (.f32 s (PI.f32)) (.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 (.f32 #s(approx (/ ( 3/4 (exp (/ r (* s -3)))) r) (+.f32 (/.f32 #s(literal -1/4 binary32) s) (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal 3/4 binary32) r)))) #s(literal 1/6 binary32)) (.f32 r (.f32 s (PI.f32))) (.f32 (.f32 s (PI.f32)) (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))))) (.f32 (.f32 s (PI.f32)) (.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 -1/24 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -1/1296 binary32) (.f32 r r)) (.f32 s (PI.f32)))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) s)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(/.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) r) (.f32 s (PI.f32)) (.f32 (.f32 s (PI.f32)) (.f32 #s(approx (/ ( 3/4 (exp (/ r (* s -3)))) r) (+.f32 (/.f32 #s(literal -1/4 binary32) s) (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 s s))) (/.f32 #s(literal 3/4 binary32) r)))) #s(literal 1/6 binary32)))) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32))))
(+.f32 (/.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r s)) (PI.f32)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(approx (+ (/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s)) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) (/.f32 (fma.f32 s (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 s (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))))) (.f32 r (.f32 (/.f32 r (PI.f32)) #s(literal -1/1296 binary32)))) (.f32 s (.f32 s s)))) s)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(.f32 (/.f32 #s(literal 1/8 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 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)) (/ (* 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 (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.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))))) s))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 r s)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (*.f32 s (PI.f32))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (.f32 r #s(literal 6 binary32)) (.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 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 (.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r 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 #s(literal -3 binary32))))) (.f32 (.f32 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))
(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) r) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (PI.f32))))
(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #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 r #s(literal 6 binary32)) (.f32 s (PI.f32)))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) (.f32 s (.f32 r #s(literal 6 binary32)))) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(approx (* 3/4 (exp (/ r (* s -3)))) (.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) #s(literal 3/4 binary32))) r) (/.f32 #s(literal 1/6 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 (.f32 s #s(literal -3 binary32)))) (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) (.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 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/6 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)))))
(+.f32 (/.f32 (.f32 #s(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)))) #s(literal -3/4 binary32)) (.f32 (.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32)))))
(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.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)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 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)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))) (.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 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) r)) s) (PI.f32)))
(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) r)) r (.f32 (.f32 s (PI.f32)) (.f32 (exp.f32 (neg.f32 (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (.f32 r (.f32 s (PI.f32))))
(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) r)) r (.f32 (.f32 s (PI.f32)) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (.f32 r (.f32 s (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 r r) (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))))))
(.f32 (/.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 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r))) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))))
(/.f32 (/.f32 (fma.f32 r (.f32 (.f32 s (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))))))) (.f32 (.f32 s (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) r)) (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 r s))
(+.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32)))) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))))
(fma.f32 (exp.f32 (.f32 (log.f32 (/.f32 r (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))) (/.f32 #s(literal 1/6 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)))))
(+.f32 (/.f32 (.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 (exp.f32 (neg.f32 (/.f32 r s))) #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 r #s(literal 6 binary32)) (.f32 s (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))))))

Outputs

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

Calls

3 calls:

89.0ms

49.0ms

43.0ms

(+.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
99.7%	1	`s`
99.7%	1	`r`
99.7%	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)

regimes135.0ms (0.8%)

Memory

-24.3MiB live, 298.6MiB allocated

Counts

149 → 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))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (+.f32 (/.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 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)) (/ (* 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 (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.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))))) s))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))))) r))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 r s)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 r (*.f32 s (PI.f32))))))

Outputs

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

Calls

3 calls:

46.0ms

43.0ms

35.0ms

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

Results

Accuracy	Segments	Branch
99.7%	1	`s`
99.7%	1	`r`
99.7%	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)

regimes129.0ms (0.8%)

Memory

23.2MiB live, 293.1MiB allocated

Counts

148 → 1

Calls

Call 1

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

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

Calls

3 calls:

46.0ms

41.0ms

34.0ms

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

Results

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes456.0ms (2.8%)

Memory

-153.8MiB live, 257.6MiB allocated

Counts

141 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

84.0ms

48.0ms

(+.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)))

47.0ms

Results

Accuracy	Segments	Branch
10.0%	1	`s`
10.0%	1	`r`
10.0%	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)

regimes107.0ms (0.7%)

Memory

-3.5MiB live, 236.0MiB allocated

Counts

114 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

34.0ms

32.0ms

31.0ms

(+.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
10.0%	1	`r`
10.0%	1	`s`
10.0%	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)

regimes94.0ms (0.6%)

Memory

38.2MiB live, 234.3MiB allocated

Counts

112 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (.f32 s (.f32 (*.f32 r (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 #s(approx (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/.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))) #s(approx (/ (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -1/6 (* s (PI)))) s) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (.f32 s (PI.f32)))))))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) s) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.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 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 #s(approx (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) #s(approx (+ ( r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* 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))) #s(approx (/ (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -1/6 (* s (PI)))) s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (.f32 s (*.f32 s s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (.f32 s (*.f32 s s)))))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.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)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -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 (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 #s(approx (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -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 (+.f32 #s(approx (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/.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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* 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))))) s))
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(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r s) (/.f32 #s(literal 1/8 binary32) (PI.f32))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/8 binary32) r)))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) 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) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))) #s(literal 3/4 binary32))) 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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) r))) s)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) s))) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) s)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r)))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(fma.f32 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (/.f32 #s(literal 3/4 binary32) r) (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/24 binary32) #s(literal -1/4 binary32)) s))) (/.f32 #s(literal 1/6 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 #s(approx (/ (* 3/4 (exp (/ r (* s -3)))) r) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/24 binary32) s) #s(literal -1/4 binary32)) s) (/.f32 #s(literal 3/4 binary32) r))) (/.f32 #s(literal 1/6 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)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #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))
(+.f32 (/.f32 (.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 (/.f32 #s(literal 1/8 binary32) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
(fma.f32 (/.f32 #s(approx (* 3/4 (exp (/ r (* s -3)))) (+.f32 #s(literal 3/4 binary32) (/.f32 (fma.f32 r #s(literal -1/4 binary32) (.f32 #s(literal 1/24 binary32) (.f32 r (/.f32 r s)))) s))) r) (/.f32 #s(literal 1/6 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)))))

Outputs

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

Calls

3 calls:

32.0ms

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
9.9%	1	`r`
9.9%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
9.9%	1	`s`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes90.0ms (0.6%)

Memory

-18.0MiB live, 218.1MiB allocated

Counts

106 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (.f32 s (.f32 (*.f32 r (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 #s(approx (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/.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))) #s(approx (/ (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -1/6 (* s (PI)))) s) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (.f32 s (PI.f32)))))))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) s) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.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 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 #s(approx (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) #s(approx (+ ( r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* 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))) #s(approx (/ (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -1/6 (* s (PI)))) s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (.f32 s (*.f32 s s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (.f32 s (*.f32 s s)))))
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(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (.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 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) (.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 #s(literal 1 binary32) (.f32 r s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) 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 3/4 binary32) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) 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) 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) s) (PI.f32)) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) s)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32))))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 r s) (/.f32 #s(literal 1/8 binary32) (PI.f32))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/8 binary32) r)))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 #s(literal 1 binary32) 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) s) (/.f32 #s(literal 1 binary32) (PI.f32))) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))) #s(literal 3/4 binary32))) 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 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) r))) s)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) s))) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) s)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r)))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (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 (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (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))

Calls

3 calls:

31.0ms

30.0ms

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
9.5%	1	`r`
9.5%	1	`s`
9.5%	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)

regimes42.0ms (0.3%)

Memory

13.1MiB live, 103.8MiB allocated

Counts

47 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

15.0ms

14.0ms

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
9.5%	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)))`
9.5%	1	`s`
9.5%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes62.0ms (0.4%)

Memory

-26.2MiB live, 52.1MiB allocated

Counts

46 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

13.0ms

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
9.4%	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)))`
9.4%	1	`s`
9.4%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes62.0ms (0.4%)

Memory

-2.4MiB live, 38.2MiB allocated

Counts

44 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

34.0ms

(+.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)))

12.0ms

Results

Accuracy	Segments	Branch
9.4%	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)))`
9.4%	1	`s`
9.4%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes47.0ms (0.3%)

Memory

11.5MiB live, 49.2MiB 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)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (.f32 s (.f32 (*.f32 r (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 #s(approx (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/.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))) #s(approx (/ (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -1/6 (* s (PI)))) s) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (.f32 s (PI.f32)))))))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) s) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.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 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 #s(approx (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) #s(approx (+ ( r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* 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))) #s(approx (/ (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -1/6 (* s (PI)))) s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (.f32 s (*.f32 s s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 s (PI.f32)) (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (.f32 s (*.f32 s s)))))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.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)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -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 (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 #s(approx (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -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 (+.f32 #s(approx (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/.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))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))

Outputs

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

Calls

3 calls:

26.0ms

10.0ms

9.0ms

(+.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
8.5%	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)))`
8.5%	1	`s`
8.5%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes32.0ms (0.2%)

Memory

-4.8MiB live, 33.4MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms

7.0ms

6.0ms

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

Results

Accuracy	Segments	Branch
8.5%	1	`r`
8.5%	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)))`
8.5%	1	`s`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes17.0ms (0.1%)

Memory

26.2MiB live, 26.2MiB 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)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (.f32 s (.f32 (*.f32 r (PI.f32)) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) (/.f32 #s(approx (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/.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))) #s(approx (/ (+ (+ (* (/ r (* (PI) (* s s))) 5/72) (/ 1/4 (* r (PI)))) (/ -1/6 (* s (PI)))) s) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 s (.f32 s (.f32 s (PI.f32)))))))
#s(approx (+ (/ (* (exp (neg (/ r s))) 1/8) (* r (* s (PI)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* s (PI))))) #s(approx (/ (+ (/ 1/4 (* r (PI))) (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) s) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.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 (/.f32 #s(literal 1/4 binary32) (.f32 r s)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s))

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))) (/.f32 #s(literal 1 binary32) s)))

Calls

3 calls:

6.0ms

5.0ms

(+.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
8.5%	1	`r`
8.5%	1	`s`
8.5%	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)

regimes20.0ms (0.1%)

Memory

-10.8MiB live, 26.6MiB allocated

Counts

14 → 1

Calls

Call 1

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

Calls

3 calls:

10.0ms

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
8.5%	1	`r`
8.5%	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)))`
8.5%	1	`s`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes19.0ms (0.1%)

Memory

-29.0MiB live, 14.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

5 → 1

Calls

Call 1

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

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:

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
8.5%	1	`r`
8.5%	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)))`
8.5%	1	`s`

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify13.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Rules

56×	`*-commutative_binary32`
24×	`+-commutative_binary32`
6×	`neg-sub0_binary32`
6×	`neg-mul-1_binary32`
6×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	668
1	210	668
2	216	668
3	219	668

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.9s (12.1%)

Memory

13.3MiB live, 1 523.4MiB allocated

Rules

22 396×	`lower-fma.f64`
22 396×	`lower-fma.f32`
20 150×	`lower-fma.f64`
20 150×	`lower-fma.f32`
14 624×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	1900
1	756	1845
2	2113	1788
3	5949	1788
0	8220	1755
0	488	8450
1	1411	8022
2	3719	7860
0	8228	7653
0	483	7758
1	1408	7553
2	3816	7396
0	8250	7207
0	118	544
0	180	538
1	698	508
2	6576	508
0	8045	498
0	25	90
0	43	90
1	142	79
2	1312	71
0	9456	71
0	97	497
0	157	487
1	594	453
2	5626	453
0	8922	450
0	83	423
0	135	429
1	482	395
2	4636	395
0	8097	389

Stop Event

1×	fuel
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 1 135 to 574 computations (49.4% saved)

preprocess101.0ms (0.6%)

Memory: 1.6MiB live, 288.1MiB allocated
Compiler: Compiled 732 to 264 computations (63.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze80.0ms (0.5%)

sample2.7s (16.8%)

preprocess401.0ms (2.5%)

explain392.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify316.0ms (2%)

localize76.0ms (0.5%)

series42.0ms (0.3%)

simplify468.0ms (2.9%)

rewrite445.0ms (2.8%)

eval215.0ms (1.3%)

prune110.0ms (0.7%)

simplify412.0ms (2.6%)

localize293.0ms (1.8%)

series42.0ms (0.3%)

simplify608.0ms (3.8%)

rewrite389.0ms (2.4%)

eval271.0ms (1.7%)

prune339.0ms (2.1%)

simplify423.0ms (2.6%)

localize306.0ms (1.9%)

series33.0ms (0.2%)

simplify598.0ms (3.7%)

rewrite474.0ms (3%)

eval218.0ms (1.4%)

prune445.0ms (2.8%)

simplify357.0ms (2.2%)

localize334.0ms (2.1%)

series28.0ms (0.2%)

simplify600.0ms (3.7%)

rewrite397.0ms (2.5%)

eval264.0ms (1.6%)

prune406.0ms (2.5%)

regimes191.0ms (1.2%)

regimes135.0ms (0.8%)

regimes129.0ms (0.8%)

regimes456.0ms (2.8%)

regimes107.0ms (0.7%)

regimes94.0ms (0.6%)

regimes90.0ms (0.6%)

regimes42.0ms (0.3%)

regimes62.0ms (0.4%)

regimes62.0ms (0.4%)

regimes47.0ms (0.3%)

regimes32.0ms (0.2%)

regimes17.0ms (0.1%)

regimes20.0ms (0.1%)

regimes19.0ms (0.1%)

simplify13.0ms (0.1%)

soundness1.9s (12.1%)

preprocess101.0ms (0.6%)

end0.0ms (0%)

Profiling