Metrics for Disney BSSRDF, PDF of scattering profile

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze72.0ms (0.6%)

Memory

2.0MiB live, 123.9MiB 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)

sample2.4s (19.4%)

Memory

-55.5MiB live, 2 979.9MiB allocated

Samples

1.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 571.0ms (37.7% of total)

ival-div: 364.0ms (24% of total)

const: 155.0ms (10.2% of total)

ival-exp: 128.0ms (8.5% of total)

ival-<=: 84.0ms (5.5% of total)

ival-add: 41.0ms (2.7% of total)

ival-neg: 40.0ms (2.6% of total)

ival-<: 38.0ms (2.5% of total)

exact: 31.0ms (2% of total)

ival-pi: 30.0ms (2% of total)

ival-and: 26.0ms (1.7% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain374.0ms (3%)

Memory

9.0MiB live, 709.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
2	0	-	2	(1.599706109800536e-7 4.561254536383785e-5)	`(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))`
2	8	(7.051364381283065e-9 1.5028675761641352e-6)	2	(3.002553228270699e-8 1.6660972050885903e-6)	`(exp.f32 (/.f32 (neg.f32 r) s))`
1	5	(3.6994773910947742e-9 1.12303416699433e-6)	1	(7.051364381283065e-9 1.5028675761641352e-6)	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`
1	0	-	1	(4.923908036857938e-8 4.7337357500509825e-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	-	`(neg.f32 r)`
0	0	-	0	-	`s`
0	0	-	0	-	`(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))`
0	0	-	0	-	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
0	0	-	0	-	`#s(literal 3/4 binary32)`
0	0	-	0	-	`(/.f32 (neg.f32 r) s)`
0	0	-	0	-	`#s(literal 1/4 binary32)`
0	0	-	0	-	`(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)`
0	0	-	0	-	`(*.f32 #s(literal 3 binary32) s)`
0	0	-	0	-	`(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)`
0	0	-	0	-	`#s(literal 6 binary32)`
0	0	-	0	-	`r`
0	0	-	0	-	`#s(literal 3 binary32)`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) s))`	sensitivity	8	7
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`	sensitivity	5	5

Confusion

	Predicted +	Predicted -
+	3	0
-	6	247

Precision

0.3333333333333333

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	6	7	240

Precision?

0.1875

Recall?

1.0

Freqs

test

number	freq
0	247
1	5
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

80.0ms

512×

valid

Compiler

Compiled 767 to 290 computations (62.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 25.0ms (43.4% of total)

ival-div: 14.0ms (24.3% of total)

ival-exp: 8.0ms (13.9% of total)

ival-neg: 5.0ms (8.7% of total)

ival-pi: 2.0ms (3.5% of total)

ival-add: 2.0ms (3.5% of total)

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

exact: 1.0ms (1.7% of total)

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

preprocess198.0ms (1.6%)

Memory

20.4MiB live, 174.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 33 to 25 computations (24.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Status

Accuracy

Program

▶

99.2%

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

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify198.0ms (1.6%)

Memory

-9.0MiB live, 138.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (0.6%)

Memory

9.6MiB live, 95.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.234375	(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy	0.25390625	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy	0.2578125	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy	0.3046875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)

Samples

38.0ms

256×

valid

Compiler

Compiled 294 to 52 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 12.0ms (45.1% of total)

ival-div: 7.0ms (26.3% of total)

ival-exp: 4.0ms (15% of total)

ival-pi: 1.0ms (3.8% of total)

ival-add: 1.0ms (3.8% of total)

exact: 1.0ms (3.8% of total)

ival-neg: 1.0ms (3.8% of total)

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

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

series37.0ms (0.3%)

Memory

10.3MiB live, 45.8MiB allocated

Counts

7 → 156

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	r	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r))
4.0ms	s	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r))
4.0ms	s	@	0	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r))
4.0ms	s	@	-inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r))
3.0ms	r	@	-inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r))

simplify258.0ms (2.1%)

Memory

-9.9MiB live, 265.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite240.0ms (1.9%)

Memory

-42.1MiB live, 315.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

7 → 395

Calls

Call 1

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

Outputs
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eval59.0ms (0.5%)

Memory: 2.3MiB live, 114.4MiB allocated
Compiler: Compiled 21 187 to 1 425 computations (93.3% saved)

prune39.0ms (0.3%)

Memory

-1.0MiB live, 84.9MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	530	21	551
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	531	21	552

Accuracy

99.3%

Counts

552 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.8%	(/.f32 (/.f32 (+.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (/.f32 (/.f32 r (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (/.f32 (/.f32 r (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))))
	9.5%	(/.f32 (+.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (/.f32 (/.f32 r (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (/.f32 (/.f32 (/.f32 r (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r)))
	9.4%	(/.f32 (.f32 (/.f32 #s(literal 1/512 binary32) (pow.f32 (.f32 (PI.f32) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) #s(literal 3 binary32)))) (+.f32 (pow.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (cbrt.f32 (exp.f32 (/.f32 r s)))) r) #s(literal 2 binary32)) (.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r) (/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))))) r))))
	97.7%	(-.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r) (.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) s)) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
	99.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (E.f32) (/.f32 (neg.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)))
	99.1%	(+.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 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	99.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
▶	99.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (*.f32 s r)))))
▶	99.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	99.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 s r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	9.1%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 r s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) r #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	7.9%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
▶	97.7%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
	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 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) s) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
	8.4%	#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 (/.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) s) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
▶	8.4%	#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 (PI.f32) s)) r))
	7.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
▶	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 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 r (-.f32 (/.f32 #s(literal -5/72 binary32) (PI.f32)) (.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -7/324 binary32) s)))) s)) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
	7.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) s))

Compiler

Compiled 1 404 to 934 computations (33.5% saved)

simplify236.0ms (1.9%)

Memory

19.3MiB live, 139.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 #s(literal 1/8 binary32) s)
cost-diff	32	(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff	192	(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
cost-diff	352	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
cost-diff	0	(neg.f32 r)
cost-diff	0	(/.f32 (neg.f32 r) s)
cost-diff	0	(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff	1312	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
cost-diff	0	(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 r (-.f32 (/.f32 #s(literal -5/72 binary32) (PI.f32)) (.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -7/324 binary32) s)))) s)) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s)
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 r (-.f32 (/.f32 #s(literal -5/72 binary32) (PI.f32)) (.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -7/324 binary32) s)))) s)) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
cost-diff	64	(-.f32 (/.f32 #s(literal -5/72 binary32) (PI.f32)) (*.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -7/324 binary32) s)))
cost-diff	352	(.f32 r (-.f32 (/.f32 #s(literal -5/72 binary32) (PI.f32)) (.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -7/324 binary32) s))))
cost-diff	0	(*.f32 (PI.f32) s)
cost-diff	0	(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
cost-diff	0	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
cost-diff	0	(/.f32 (neg.f32 r) s)
cost-diff	0	(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff	64	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
cost-diff	1312	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (*.f32 s r)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	661
0	136	678
1	241	636
2	620	602
3	2030	588
4	4489	574
5	6907	574
0	8428	566

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

localize339.0ms (2.7%)

Memory

17.5MiB live, 254.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0903150903808193	(exp.f32 (/.f32 (neg.f32 r) s))
accuracy	0.11817604170710187	(/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)
accuracy	0.40234375	(/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32))
accuracy	0.4851087485161968	(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
accuracy	0.234375	(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy	0.25390625	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy	0.2578125	(/.f32 r (*.f32 #s(literal -3 binary32) s))
accuracy	0.3046875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy	0.296875	(*.f32 (PI.f32) r)
accuracy	0.32421875	(/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))
accuracy	0.359375	(*.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -7/324 binary32) s))
accuracy	29.282128466585284	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 r (-.f32 (/.f32 #s(literal -5/72 binary32) (PI.f32)) (.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -7/324 binary32) s)))) s)) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
accuracy	0.25390625	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
accuracy	0.25390625	(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
accuracy	0.3046875	(*.f32 (PI.f32) s)
accuracy	29.310303656793746	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
accuracy	0.2578125	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy	0.3046875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy	0.34279252930532605	(.f32 #s(literal 6 binary32) (.f32 s r))
accuracy	0.3834762695368841	(.f32 (PI.f32) (.f32 #s(literal 6 binary32) (*.f32 s r)))

Samples

186.0ms

256×

valid

Compiler

Compiled 1 220 to 134 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-div: 58.0ms (37.1% of total)

ival-cbrt: 44.0ms (28.2% of total)

ival-mult: 26.0ms (16.6% of total)

const: 10.0ms (6.4% of total)

ival-exp: 6.0ms (3.8% of total)

ival-add: 4.0ms (2.6% of total)

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

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

exact: 1.0ms (0.6% of total)

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

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

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

series132.0ms (1.1%)

Memory

7.8MiB live, 121.2MiB allocated

Counts

28 → 576

Calls

Call 1

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

Outputs
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 s r))))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 s r))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 s r))))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 s r))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 s r))))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 s r))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 s r))))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (PI.f32) (.f32 #s(literal 6 binary32) (.f32 s r))))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)) (patch (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)) (patch (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)) (patch (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)) (patch (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())) ())
#s(alt (exp (* -1 (/ r s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ r s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 r) s) (patch (/.f32 (neg.f32 r) s) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r)) (patch #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r)) (patch #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r)) (patch #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r)) (patch #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r) (patch (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r) (patch (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r) (patch (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r) (patch (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) r) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* s (PI))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* s (PI))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* s (PI))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* s (PI))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s)) #<representation binary32>) () ())) ())
#s(alt (* s (PI)) (taylor 0 s) (#s(alt (.f32 (PI.f32) s) (patch (.f32 (PI.f32) s) #<representation binary32>) () ())) ())
#s(alt (* s (PI)) (taylor 0 s) (#s(alt (.f32 (PI.f32) s) (patch (.f32 (PI.f32) s) #<representation binary32>) () ())) ())
#s(alt (* s (PI)) (taylor 0 s) (#s(alt (.f32 (PI.f32) s) (patch (.f32 (PI.f32) s) #<representation binary32>) () ())) ())
#s(alt (* s (PI)) (taylor 0 s) (#s(alt (.f32 (PI.f32) s) (patch (.f32 (PI.f32) s) #<representation binary32>) () ())) ())
#s(alt (* 7/324 (/ (pow r 2) (* s (PI)))) (taylor 0 s) (#s(alt (.f32 r (-.f32 (/.f32 #s(literal -5/72 binary32) (PI.f32)) (.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -7/324 binary32) s)))) (patch (.f32 r (-.f32 (/.f32 #s(literal -5/72 binary32) (PI.f32)) (.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -7/324 binary32) s)))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)) (taylor -inf r) (#s(alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
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#s(alt (* -1 r) (taylor -inf r) (#s(alt (neg.f32 r) (patch (neg.f32 r) #<representation binary32>) () ())) ())
#s(alt (* -1 r) (taylor -inf r) (#s(alt (neg.f32 r) (patch (neg.f32 r) #<representation binary32>) () ())) ())
#s(alt (* -1 r) (taylor -inf r) (#s(alt (neg.f32 r) (patch (neg.f32 r) #<representation binary32>) () ())) ())
#s(alt (* -1 r) (taylor -inf r) (#s(alt (neg.f32 r) (patch (neg.f32 r) #<representation binary32>) () ())) ())
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#s(alt (* r (PI)) (taylor -inf r) (#s(alt (.f32 (PI.f32) r) (patch (.f32 (PI.f32) r) #<representation binary32>) () ())) ())
#s(alt (* r (PI)) (taylor -inf r) (#s(alt (.f32 (PI.f32) r) (patch (.f32 (PI.f32) r) #<representation binary32>) () ())) ())
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#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
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#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* (/ 1 r) (cbrt (exp (* -1 (/ r s))))) (taylor -inf r) (#s(alt (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (patch (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) #<representation binary32>) () ())) ())
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#s(alt (* (/ 1 r) (cbrt (exp (* -1 (/ r s))))) (taylor -inf r) (#s(alt (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (patch (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) #<representation binary32>) () ())) ())
#s(alt (* (/ 1 r) (cbrt (exp (* -1 (/ r s))))) (taylor -inf r) (#s(alt (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) (patch (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
48.0ms	s	@	-inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (PI) (* 6 (* s r))))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* (* 6 (PI)) s) r))) (neg r) (* (/ (/ 1/8 s) (PI)) (+ (/ (exp (/ (neg r) s)) r) (/ (cbrt (exp (/ (neg r) s))) r))) (/ (/ 1/8 s) (PI)) (cbrt (exp (/ (neg r) s))) (/ 1/8 s) (* (PI) (* 6 (* s r))) (* 6 (* s r)) (* (* 2 (PI)) s) (* (/ r (PI)) (/ -7/324 s)) (/ -1/4 (* (PI) r)) (* (PI) r) (/ r (* -3 s)) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r) (/ (cbrt (exp (/ (neg r) s))) r))
28.0ms	s	@	0	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (PI) (* 6 (* s r))))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* (* 6 (PI)) s) r))) (neg r) (* (/ (/ 1/8 s) (PI)) (+ (/ (exp (/ (neg r) s)) r) (/ (cbrt (exp (/ (neg r) s))) r))) (/ (/ 1/8 s) (PI)) (cbrt (exp (/ (neg r) s))) (/ 1/8 s) (* (PI) (* 6 (* s r))) (* 6 (* s r)) (* (* 2 (PI)) s) (* (/ r (PI)) (/ -7/324 s)) (/ -1/4 (* (PI) r)) (* (PI) r) (/ r (* -3 s)) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r) (/ (cbrt (exp (/ (neg r) s))) r))
9.0ms	r	@	-inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (PI) (* 6 (* s r))))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* (* 6 (PI)) s) r))) (neg r) (* (/ (/ 1/8 s) (PI)) (+ (/ (exp (/ (neg r) s)) r) (/ (cbrt (exp (/ (neg r) s))) r))) (/ (/ 1/8 s) (PI)) (cbrt (exp (/ (neg r) s))) (/ 1/8 s) (* (PI) (* 6 (* s r))) (* 6 (* s r)) (* (* 2 (PI)) s) (* (/ r (PI)) (/ -7/324 s)) (/ -1/4 (* (PI) r)) (* (PI) r) (/ r (* -3 s)) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r) (/ (cbrt (exp (/ (neg r) s))) r))
9.0ms	r	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (PI) (* 6 (* s r))))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* (* 6 (PI)) s) r))) (neg r) (* (/ (/ 1/8 s) (PI)) (+ (/ (exp (/ (neg r) s)) r) (/ (cbrt (exp (/ (neg r) s))) r))) (/ (/ 1/8 s) (PI)) (cbrt (exp (/ (neg r) s))) (/ 1/8 s) (* (PI) (* 6 (* s r))) (* 6 (* s r)) (* (* 2 (PI)) s) (* (/ r (PI)) (/ -7/324 s)) (/ -1/4 (* (PI) r)) (* (PI) r) (/ r (* -3 s)) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r) (/ (cbrt (exp (/ (neg r) s))) r))
8.0ms	s	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (PI) (* 6 (* s r))))) (/ (neg r) (* 3 s)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* (* 6 (PI)) s) r))) (neg r) (* (/ (/ 1/8 s) (PI)) (+ (/ (exp (/ (neg r) s)) r) (/ (cbrt (exp (/ (neg r) s))) r))) (/ (/ 1/8 s) (PI)) (cbrt (exp (/ (neg r) s))) (/ 1/8 s) (* (PI) (* 6 (* s r))) (* 6 (* s r)) (* (* 2 (PI)) s) (* (/ r (PI)) (/ -7/324 s)) (/ -1/4 (* (PI) r)) (* (PI) r) (/ r (* -3 s)) (* (* (* 2 (PI)) s) r) (* (* (* 6 (PI)) s) r) (/ (cbrt (exp (/ (neg r) s))) r))

simplify232.0ms (1.9%)

Memory

1.5MiB live, 224.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	447	6518
1	1315	6171
2	3908	6026
0	8135	5883

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

Inputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* s (PI)))
(/ 1/4 (* s (PI)))
(/ 1/4 (* s (PI)))
(/ 1/4 (* s (PI)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* 7/324 (/ (pow r 2) (* s (PI))))
(/ (+ (* -5/72 (/ (* r s) (PI))) (* 7/324 (/ (pow r 2) (PI)))) s)
(/ (+ (* -5/72 (/ (* r s) (PI))) (* 7/324 (/ (pow r 2) (PI)))) s)
(/ (+ (* -5/72 (/ (* r s) (PI))) (* 7/324 (/ (pow r 2) (PI)))) s)
(* 7/324 (/ r (* s (PI))))
(/ (- (* -5/72 (/ s (PI))) (* -7/324 (/ r (PI)))) s)
(/ (- (* -5/72 (/ s (PI))) (* -7/324 (/ r (PI)))) s)
(/ (- (* -5/72 (/ s (PI))) (* -7/324 (/ r (PI)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 4))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))))) (pow s 4))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 4))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* 1/8 (/ (+ (* (/ 1 r) (cbrt (exp (* -1 (/ r s))))) (/ (exp (* -1 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (* (/ 1 r) (cbrt (exp (* -1 (/ r s))))) (/ (exp (* -1 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (* (/ 1 r) (cbrt (exp (* -1 (/ r s))))) (/ (exp (* -1 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (* (/ 1 r) (cbrt (exp (* -1 (/ r s))))) (/ (exp (* -1 (/ r s))) r)) (* s (PI))))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(/ 1/8 s)
(/ 1/8 s)
(/ 1/8 s)
(/ 1/8 s)
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r s))
(* 6 (* r s))
(* 6 (* r s))
(* 6 (* r s))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* -7/324 (/ r (* s (PI))))
(* -7/324 (/ r (* s (PI))))
(* -7/324 (/ r (* s (PI))))
(* -7/324 (/ r (* s (PI))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* (/ 1 r) (cbrt (exp (* -1 (/ r s)))))
(* (/ 1 r) (cbrt (exp (* -1 (/ r s)))))
(* (/ 1 r) (cbrt (exp (* -1 (/ r s)))))
(* (/ 1 r) (cbrt (exp (* -1 (/ r s)))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
1
(+ 1 (* -1 (/ r s)))
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(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
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(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* s (PI)))
(/ 1/4 (* s (PI)))
(/ 1/4 (* s (PI)))
(/ 1/4 (* s (PI)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* -5/72 (/ r (PI)))
(+ (* -5/72 (/ r (PI))) (* 7/324 (/ (pow r 2) (* s (PI)))))
(+ (* -5/72 (/ r (PI))) (* 7/324 (/ (pow r 2) (* s (PI)))))
(+ (* -5/72 (/ r (PI))) (* 7/324 (/ (pow r 2) (* s (PI)))))
(/ -5/72 (PI))
(- (* 7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI))))
(- (* 7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI))))
(- (* 7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -7/324 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/3 (/ (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))) (* r (PI)))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* 1/3 (/ (- (* -1/6 (pow r 3)) (+ (* -2/3 (* r (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))))) (* -1/27 (pow r 3)))) (* r (PI))))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/3 (/ (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))) (* r (PI)))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/3 (/ (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* 1/3 (/ (- (* -1/6 (pow r 3)) (+ (* -2/3 (* r (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))))) (* -1/27 (pow r 3)))) (pow s 3))) (* 1/3 (/ (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))) (pow s 2))))))
(/ 1/8 s)
(/ 1/8 s)
(/ 1/8 s)
(/ 1/8 s)
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r s))
(* 6 (* r s))
(* 6 (* r s))
(* 6 (* r s))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* -7/324 (/ r (* s (PI))))
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(* -7/324 (/ r (* s (PI))))
(* -7/324 (/ r (* s (PI))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(/ 1 r)
(- (/ 1 r) (* 1/3 (/ 1 s)))
(- (+ (* 1/3 (/ (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))) (* r (pow s 2)))) (/ 1 r)) (* 1/3 (/ 1 s)))
(- (+ (* 1/3 (/ (- (* -1/6 (pow r 3)) (+ (* -2/3 (* r (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))))) (* -1/27 (pow r 3)))) (* r (pow s 3)))) (+ (* 1/3 (/ (- (* 1/2 (pow r 2)) (* 1/3 (pow r 2))) (* r (pow s 2)))) (/ 1 r))) (* 1/3 (/ 1 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))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
(/ 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 (* s (PI)))
(/ 1/4 (* s (PI)))
(/ 1/4 (* s (PI)))
(/ 1/4 (* s (PI)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* -5/72 (/ r (PI)))
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1
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(* r (PI))
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(* -1/3 (/ r s))
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(* 6 (* r (* s (PI))))
(/ 1 r)
(/ (+ 1 (* -1/3 (/ r s))) r)
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(/ (+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s))))) 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)
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
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(* -1 (/ r s))
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(* -1 (/ r s))
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ 1/4 (* r (* s (PI))))
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(* (pow r 2) (- (* 7/324 (/ 1 (* s (PI)))) (* 5/72 (/ 1 (* r (PI))))))
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(* r (- (* 7/324 (/ 1 (* s (PI)))) (* 5/72 (/ 1 (* r (PI))))))
(* r (- (* 7/324 (/ 1 (* s (PI)))) (* 5/72 (/ 1 (* r (PI))))))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (/ 5/72 (* r (* (pow s 3) (PI)))) (+ (/ 1/6 (* (pow r 2) (* (pow s 2) (PI)))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 3) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (* s (PI)))))) (+ (* 1/6 (/ 1 (* (pow r 2) (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 r)
(* -1 r)
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(* 1/8 (/ (+ (cbrt (exp (* -1 (/ r s)))) (exp (* -1 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (cbrt (exp (* -1 (/ r s)))) (exp (* -1 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (cbrt (exp (* -1 (/ r s)))) (exp (* -1 (/ r s)))) (* r (* s (PI)))))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
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(* 6 (* r (* s (PI))))
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(* (/ 1 r) (cbrt (exp (* -1 (/ r s)))))
(* (/ 1 r) (cbrt (exp (* -1 (/ r s)))))
(* (/ 1 r) (cbrt (exp (* -1 (/ r s)))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
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(* -1 (/ r s))
(* -1 (/ r s))
(* -1 (/ r s))
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(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
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(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
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(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
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(* -1 r)
(* -1 r)
(* -1 r)
(* -1 r)
(* -1/8 (/ (+ (* -1 (cbrt (exp (* -1 (/ r s))))) (* -1 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (cbrt (exp (* -1 (/ r s))))) (* -1 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (cbrt (exp (* -1 (/ r s))))) (* -1 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (cbrt (exp (* -1 (/ r s))))) (* -1 (exp (* -1 (/ r s))))) (* r (* s (PI)))))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(cbrt (exp (* -1 (/ r s))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r s))
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(* -7/324 (/ r (* s (PI))))
(* -7/324 (/ r (* s (PI))))
(/ -1/4 (* r (PI)))
(/ -1/4 (* r (PI)))
(/ -1/4 (* r (PI)))
(/ -1/4 (* r (PI)))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
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(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
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(* 6 (* r (* s (PI))))
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(* (/ 1 r) (cbrt (exp (* -1 (/ r s)))))
(* (/ 1 r) (cbrt (exp (* -1 (/ r s)))))
(* (/ 1 r) (cbrt (exp (* -1 (/ r s)))))
(* (/ 1 r) (cbrt (exp (* -1 (/ r s)))))

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

rewrite341.0ms (2.7%)

Memory

-24.8MiB live, 260.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	349
0	136	362
1	494	327
2	5161	297
0	8138	297

Stop Event

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

Counts

28 → 1 022

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

Outputs
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eval437.0ms (3.5%)

Memory: 35.6MiB live, 380.7MiB allocated
Compiler: Compiled 61 467 to 3 913 computations (93.6% saved)

prune268.0ms (2.1%)

Memory

-16.8MiB live, 427.0MiB allocated

Pruning

56 alts after pruning (55 fresh and 1 done)

	Pruned	Kept	Total
New	1 898	49	1 947
Fresh	10	6	16
Picked	4	1	5
Done	0	0	0
Total	1 912	56	1 968

Accuracy

99.4%

Counts

1 968 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (E.f32) (/.f32 (neg.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)))
	99.1%	(+.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 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 (.f32 s r) #s(literal 6 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
	99.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 (.f32 s r) #s(literal 6 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	99.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
▶	99.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))
	8.7%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.7%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 r s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) r #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	7.7%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 r (/.f32 r s)) #s(literal -1/2 binary32) r) s)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	97.7%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/6 binary32)) #s(literal 2 binary32)) r)))
	97.7%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/3 binary32)) r)))
	98.7%	(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (.f32 r (/.f32 #s(literal 1/3 binary32) s)))) r)))
	99.0%	(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) r)))
	6.1%	(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) (fma.f32 (.f32 r (/.f32 r s)) (/.f32 #s(literal 1/18 binary32) s) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32)))) r)))
	5.9%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) r)))
	8.8%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) #s(literal 1 binary32)) r)))
	8.6%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) #s(approx (/ (cbrt (exp (/ (neg r) s))) r) (-.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/3 binary32) s)))))
	97.6%	(.f32 (/.f32 (exp.f32 (.f32 (log.f32 (*.f32 s #s(literal 8 binary32))) #s(literal -1 binary32))) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
	97.7%	(.f32 (/.f32 #s(literal 3/4 binary32) (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
	97.7%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
	97.6%	(.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (sqrt.f32 (PI.f32)))) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
	12.2%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal -5/72 binary32) (.f32 (/.f32 #s(literal -7/324 binary32) s) r)) (PI.f32)) (/.f32 r s))) s) (/.f32 #s(literal 1 binary32) s) (neg.f32 (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)) s))))
	8.2%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal -5/72 binary32) (.f32 (/.f32 #s(literal -7/324 binary32) s) r)) (PI.f32)) (/.f32 r s))) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (neg.f32 (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)) 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 (fma.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) s) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
	8.4%	#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 (/.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) s) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
	4.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -7/324 binary32) r) (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32)) (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s))
	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 (/.f32 #s(literal 1/4 binary32) (PI.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 (/.f32 (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (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 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.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 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.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 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (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 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 (/.f32 (-.f32 #s(literal -5/72 binary32) (.f32 (/.f32 #s(literal -7/324 binary32) s) r)) (PI.f32)) r) s)) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) 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 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 r (-.f32 (/.f32 #s(literal -5/72 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -7/324 binary32) r) (.f32 (PI.f32) s)))) s)) s) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) 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 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (.f32 r #s(approx (- (/ -5/72 (PI)) ( (/ r (PI)) (/ -7/324 s))) (/.f32 #s(literal -5/72 binary32) (PI.f32)))) s)) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
	7.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) s)) s))
	7.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) 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 (.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal -5/72 binary32) (.f32 (/.f32 #s(literal -7/324 binary32) s) r)) (PI.f32)) (/.f32 r s))) s) s) (.f32 s (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r)))) (.f32 s s)))
	8.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (.f32 (.f32 (PI.f32) r) (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal -5/72 binary32) (.f32 (/.f32 #s(literal -7/324 binary32) s) r)) (PI.f32)) (/.f32 r s)))) (.f32 #s(literal -1/4 binary32) s)) (.f32 s (.f32 (.f32 (PI.f32) r) s))))
	7.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
	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 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (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 (*.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) 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(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) 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(literal -1/4 binary32) (.f32 (.f32 (neg.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 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal -5/72 binary32) (.f32 (/.f32 #s(literal -7/324 binary32) s) r)) (PI.f32)) (/.f32 r s))) (.f32 s s)) (/.f32 (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r)) 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 (pow.f32 (/.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) 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(literal 1 binary32) s) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal -5/72 binary32) (.f32 (/.f32 #s(literal -7/324 binary32) s) r)) (PI.f32)) (/.f32 r s))) s) (/.f32 #s(literal -1/4 binary32) (.f32 (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 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/4 binary32) (.f32 (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(literal 1/4 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) (/.f32 #s(literal 1 binary32) r))))
	3.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 s r) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) s (.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))))
	3.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) s (.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))))
	4.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (PI.f32)) (.f32 (/.f32 s (PI.f32)) (fma.f32 #s(literal -1/6 binary32) s (*.f32 #s(literal 5/72 binary32) r)))) (pow.f32 s #s(literal 4 binary32)))))
▶	2.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r) (/.f32 #s(literal 7/324 binary32) (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32)))) (.f32 r r))))
	97.7%	#s(approx (* (/ (/ 1/8 s) (PI)) (+ (/ (exp (/ (neg r) s)) r) (/ (cbrt (exp (/ (neg r) s))) r))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) r)) (/.f32 (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))) s)))
	97.7%	#s(approx (* (/ (/ 1/8 s) (PI)) (+ (/ (exp (/ (neg r) s)) r) (/ (cbrt (exp (/ (neg r) s))) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)) s)))

Compiler

Compiled 2 566 to 1 960 computations (23.6% saved)

simplify149.0ms (1.2%)

Memory

12.0MiB live, 118.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r) (/.f32 #s(literal 7/324 binary32) (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))))
cost-diff	0	(.f32 (-.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r) (/.f32 #s(literal 7/324 binary32) (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32)))) (.f32 r r))
cost-diff	0	#s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r) (/.f32 #s(literal 7/324 binary32) (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32)))) (.f32 r r)))
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r) (/.f32 #s(literal 7/324 binary32) (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32)))) (.f32 r r))))
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (pow.f32 (/.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)))
cost-diff	192	(/.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32)))
cost-diff	544	(*.f32 (pow.f32 (/.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
cost-diff	3040	(pow.f32 (/.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32))) #s(literal -1 binary32))
cost-diff	0	(*.f32 s (sqrt.f32 (PI.f32)))
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
cost-diff	384	(/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r)
cost-diff	800	(.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
cost-diff	0	(*.f32 (PI.f32) r)
cost-diff	0	(.f32 (.f32 (PI.f32) r) s)
cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
cost-diff	0	(/.f32 (neg.f32 r) s)
cost-diff	0	(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff	160	(/.f32 (.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	1504	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	584
0	139	568
1	258	532
2	644	500
3	2227	486
4	5626	486
0	8239	482

Stop Event

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

Calls

Call 1

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

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

localize269.0ms (2.1%)

Memory

-2.3MiB live, 365.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5980387822184488	(.f32 (-.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r) (/.f32 #s(literal 7/324 binary32) (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32)))) (.f32 r r))
accuracy	3.0503842720113252	#s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r) (/.f32 #s(literal 7/324 binary32) (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32)))) (.f32 r r)))
accuracy	18.231136217858182	(-.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r) (/.f32 #s(literal 7/324 binary32) (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))))
accuracy	29.282128466585284	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r) (/.f32 #s(literal 7/324 binary32) (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32)))) (.f32 r r))))
accuracy	0.32421875	(pow.f32 (/.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32))) #s(literal -1 binary32))
accuracy	0.360038769536884	(*.f32 (pow.f32 (/.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s))
accuracy	0.4296875	(/.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32)))
accuracy	29.310303656793746	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (pow.f32 (/.f32 r (/.f32 #s(literal 1/4 binary32) (PI.f32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)))
accuracy	0.25390625	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
accuracy	0.33888627930532605	(.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy	0.3984375	(*.f32 s (sqrt.f32 (PI.f32)))
accuracy	29.310303656793746	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
accuracy	0.265625	(.f32 (.f32 (PI.f32) r) s)
accuracy	0.29260504138909577	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))
accuracy	0.296875	(*.f32 (PI.f32) r)
accuracy	29.310303656793746	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
accuracy	0.2578125	(/.f32 r (*.f32 #s(literal -3 binary32) s))
accuracy	0.296875	(*.f32 (PI.f32) r)
accuracy	0.3046875	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy	0.3662300293053261	(.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))

Samples

180.0ms

256×

valid

Compiler

Compiled 874 to 139 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 50.0ms (32.2% of total)

ival-div: 41.0ms (26.4% of total)

ival-exp: 26.0ms (16.7% of total)

const: 19.0ms (12.2% of total)

ival-pow: 8.0ms (5.1% of total)

ival-sub: 4.0ms (2.6% of total)

ival-add: 2.0ms (1.3% of total)

ival-sqrt: 2.0ms (1.3% of total)

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

exact: 1.0ms (0.6% of total)

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

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

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

series64.0ms (0.5%)

Memory

-7.9MiB live, 148.2MiB allocated

Counts

24 → 492

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
11.0ms	r	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* 6 s) (* (PI) r)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) r) s)) (* (* (PI) r) s) (* (PI) r) (* (* s (sqrt (PI))) (sqrt (PI))) (/ (/ 1/4 (* (* s (sqrt (PI))) (sqrt (PI)))) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* s (sqrt (PI))) (pow (/ r (/ 1/4 (PI))) -1) (* (pow (/ r (/ 1/4 (PI))) -1) (/ 1 s)) (/ r (/ 1/4 (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* (* 6 s) (* (PI) r)) (* (* 2 (PI)) s) (/ r (* -3 s)) (/ 1/4 (* (* s (sqrt (PI))) (sqrt (PI)))))
9.0ms	s	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* 6 s) (* (PI) r)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) r) s)) (* (* (PI) r) s) (* (PI) r) (* (* s (sqrt (PI))) (sqrt (PI))) (/ (/ 1/4 (* (* s (sqrt (PI))) (sqrt (PI)))) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* s (sqrt (PI))) (pow (/ r (/ 1/4 (PI))) -1) (* (pow (/ r (/ 1/4 (PI))) -1) (/ 1 s)) (/ r (/ 1/4 (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* (* 6 s) (* (PI) r)) (* (* 2 (PI)) s) (/ r (* -3 s)) (/ 1/4 (* (* s (sqrt (PI))) (sqrt (PI)))))
5.0ms	r	@	-inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* 6 s) (* (PI) r)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) r) s)) (* (* (PI) r) s) (* (PI) r) (* (* s (sqrt (PI))) (sqrt (PI))) (/ (/ 1/4 (* (* s (sqrt (PI))) (sqrt (PI)))) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* s (sqrt (PI))) (pow (/ r (/ 1/4 (PI))) -1) (* (pow (/ r (/ 1/4 (PI))) -1) (/ 1 s)) (/ r (/ 1/4 (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* (* 6 s) (* (PI) r)) (* (* 2 (PI)) s) (/ r (* -3 s)) (/ 1/4 (* (* s (sqrt (PI))) (sqrt (PI)))))
5.0ms	s	@	0	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* 6 s) (* (PI) r)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) r) s)) (* (* (PI) r) s) (* (PI) r) (* (* s (sqrt (PI))) (sqrt (PI))) (/ (/ 1/4 (* (* s (sqrt (PI))) (sqrt (PI)))) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* s (sqrt (PI))) (pow (/ r (/ 1/4 (PI))) -1) (* (pow (/ r (/ 1/4 (PI))) -1) (/ 1 s)) (/ r (/ 1/4 (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* (* 6 s) (* (PI) r)) (* (* 2 (PI)) s) (/ r (* -3 s)) (/ 1/4 (* (* s (sqrt (PI))) (sqrt (PI)))))
4.0ms	s	@	-inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* 6 s) (* (PI) r)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) r) s)) (* (* (PI) r) s) (* (PI) r) (* (* s (sqrt (PI))) (sqrt (PI))) (/ (/ 1/4 (* (* s (sqrt (PI))) (sqrt (PI)))) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* s (sqrt (PI))) (pow (/ r (/ 1/4 (PI))) -1) (* (pow (/ r (/ 1/4 (PI))) -1) (/ 1 s)) (/ r (/ 1/4 (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* (* 6 s) (* (PI) r)) (* (* 2 (PI)) s) (/ r (* -3 s)) (/ 1/4 (* (* s (sqrt (PI))) (sqrt (PI)))))

simplify236.0ms (1.9%)

Memory

41.8MiB live, 311.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	346	6183
1	1040	5871
2	3010	5684
0	8372	5568

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

rewrite309.0ms (2.5%)

Memory

-34.2MiB live, 296.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	447
0	139	423
1	526	391
2	5430	391
0	8712	382

Stop Event

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

Counts

24 → 574

Calls

Call 1

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

Outputs
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eval150.0ms (1.2%)

Memory: 3.1MiB live, 193.4MiB allocated
Compiler: Compiled 24 782 to 2 206 computations (91.1% saved)

prune312.0ms (2.5%)

Memory

7.7MiB live, 417.4MiB allocated

Pruning

90 alts after pruning (85 fresh and 5 done)

	Pruned	Kept	Total
New	1 042	44	1 086
Fresh	9	41	50
Picked	1	4	5
Done	0	1	1
Total	1 052	90	1 142

Accuracy

99.4%

Counts

1 142 → 90

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.5%	(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) r (.f32 r (.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))))) (.f32 r r))
	99.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 (.f32 s r) #s(literal 6 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	99.1%	(+.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 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 (PI.f32) r) s) #s(literal 6 binary32))))
	99.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) r (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r))))
	8.7%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 r s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) r #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	98.4%	(+.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))
	8.9%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/8 binary32) (PI.f32))) s) s) r (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r))))
	9.1%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) s) s) r (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r))))
	8.5%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r))))
▶	99.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))
	97.7%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/6 binary32)) #s(literal 2 binary32)) r)))
	97.7%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/3 binary32)) r)))
	98.7%	(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (.f32 r (/.f32 #s(literal 1/3 binary32) s)))) r)))
	99.0%	(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) r)))
	6.1%	(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) (fma.f32 (.f32 r (/.f32 r s)) (/.f32 #s(literal 1/18 binary32) s) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32)))) r)))
	5.8%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) r)))
	8.8%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) #s(literal 1 binary32)) r)))
	97.6%	(.f32 (/.f32 (exp.f32 (.f32 (log.f32 (*.f32 s #s(literal 8 binary32))) #s(literal -1 binary32))) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
	97.7%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
	97.6%	(.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (sqrt.f32 (PI.f32)))) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
	12.3%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal -5/72 binary32) (.f32 (/.f32 #s(literal -7/324 binary32) s) r)) (PI.f32)) (/.f32 r s))) s) (/.f32 #s(literal 1 binary32) s) (neg.f32 (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)) s))))
	9.2%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (fma.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal -5/72 binary32) (.f32 (/.f32 #s(literal -7/324 binary32) s) r)) (PI.f32)) (/.f32 r s))) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (neg.f32 (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)) s))))
	5.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal -7/324 binary32) (pow.f32 s #s(literal 4 binary32))) r) (/.f32 r (PI.f32)) (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 r s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) s)) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.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 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 r s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) s) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.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 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) s) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
	8.4%	#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 (/.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) s) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
	4.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -7/324 binary32) r) (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32)) (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s))
	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 (/.f32 #s(literal -1/6 binary32) (.f32 (.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
	4.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (.f32 (/.f32 #s(literal -7/324 binary32) (pow.f32 s #s(literal 3 binary32))) r) (/.f32 r (PI.f32)) (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 r s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) 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 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) s)) r))
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	5.3%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (.f32 #s(approx (- (/ (/ 5/72 ( (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (/.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r)) (*.f32 r r))))
	3.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (.f32 #s(approx (- (/ (/ 5/72 ( (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 s r) (/.f32 #s(literal -7/324 binary32) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))) (*.f32 r r))))
	4.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (.f32 #s(approx (- (/ (/ 5/72 ( (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (/.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 7/324 binary32) (PI.f32)) s)) (pow.f32 s #s(literal 3 binary32)))) (.f32 r r))))
	4.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) #s(approx (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (/.f32 (fma.f32 (/.f32 (/.f32 (.f32 r r) (PI.f32)) s) #s(literal -7/324 binary32) (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (pow.f32 s #s(literal 3 binary32))))))
▶	5.3%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) #s(approx (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r))))
	97.7%	#s(approx (* (/ (/ 1/8 s) (PI)) (+ (/ (exp (/ (neg r) s)) r) (/ (cbrt (exp (/ (neg r) s))) r))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) r)) (/.f32 (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))) s)))
	97.7%	#s(approx (* (/ (/ 1/8 s) (PI)) (+ (/ (exp (/ (neg r) s)) r) (/ (cbrt (exp (/ (neg r) s))) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)) s)))

Compiler

Compiled 3 805 to 2 945 computations (22.6% saved)

simplify188.0ms (1.5%)

Memory

25.5MiB live, 180.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))))
cost-diff	0	#s(approx (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r))
cost-diff	0	#s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) #s(approx (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r)))
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) #s(approx (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r))))
cost-diff	0	(/.f32 (fma.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))
cost-diff	0	#s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))))
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))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
cost-diff	512	(fma.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32)))
cost-diff	0	(.f32 r (.f32 (sqrt.f32 (PI.f32)) s))
cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (*.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))))
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (*.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32)))))
cost-diff	800	(.f32 (.f32 r (*.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32)))
cost-diff	0	(*.f32 s r)
cost-diff	0	(.f32 (.f32 s r) (PI.f32))
cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
cost-diff	0	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
cost-diff	0	(exp.f32 (/.f32 r s))
cost-diff	0	(/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))
cost-diff	0	#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r)))
cost-diff	224	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	784
0	151	772
1	289	744
2	736	707
3	2195	695
4	5348	677
0	8145	665

Stop Event

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

Calls

Call 1

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

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

localize290.0ms (2.3%)

Memory

11.9MiB live, 548.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4904493921057194	(.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r)
accuracy	3.0503842720113252	#s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) #s(approx (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r)))
accuracy	29.282128466585284	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) #s(approx (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r))))
accuracy	31.139268137743613	(fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))))
accuracy	0.6375860708875244	(/.f32 (fma.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))
accuracy	3.0503842720113252	#s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32))))
accuracy	4.505846864198905	(fma.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32)))
accuracy	29.282128466585284	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
accuracy	0.3046875	(.f32 r (.f32 (sqrt.f32 (PI.f32)) s))
accuracy	0.3984375	(*.f32 (sqrt.f32 (PI.f32)) s)
accuracy	0.40853500976844204	(.f32 (.f32 r (*.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32)))
accuracy	29.310303656793746	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (*.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32)))))
accuracy	0	(PI.f32)
accuracy	0.29260504138909577	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))
accuracy	0.4433975586106521	(.f32 (.f32 s r) (PI.f32))
accuracy	29.310303656793746	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
accuracy	0.2578125	(.f32 (.f32 (PI.f32) s) r)
accuracy	0.296875	(*.f32 (PI.f32) r)
accuracy	0.3046875	(*.f32 (PI.f32) s)
accuracy	0.3662300293053261	(.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))

Samples

225.0ms

256×

valid

Compiler

Compiled 988 to 150 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-mult: 76.0ms (42.5% of total)

ival-div: 46.0ms (25.7% of total)

const: 17.0ms (9.5% of total)

ival-pow: 16.0ms (8.9% of total)

ival-exp: 8.0ms (4.5% of total)

ival-add: 4.0ms (2.2% of total)

ival-sub: 4.0ms (2.2% of total)

ival-sqrt: 2.0ms (1.1% of total)

ival-neg: 2.0ms (1.1% 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)

series436.0ms (3.5%)

Memory

-19.0MiB live, 220.7MiB allocated

Counts

27 → 588

Calls

Call 1

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

Outputs
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r)))) (patch (+.f32 #s(approx (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r)))) (patch (+.f32 #s(approx (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r)))) (patch (+.f32 #s(approx (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r)))) (patch (+.f32 #s(approx (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r)))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (patch #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (patch #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (patch #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (patch #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ 1/8 (exp (/ r s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (patch (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) #<representation binary32>) () ())) ())
#s(alt (/ 1/8 (exp (/ r s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (patch (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) #<representation binary32>) () ())) ())
#s(alt (/ 1/8 (exp (/ r s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (patch (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) #<representation binary32>) () ())) ())
#s(alt (/ 1/8 (exp (/ r s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (patch (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) #<representation binary32>) () ())) ())
#s(alt (exp (/ r s)) (taylor 0 s) (#s(alt (exp.f32 (/.f32 r s)) (patch (exp.f32 (/.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (exp (/ r s)) (taylor 0 s) (#s(alt (exp.f32 (/.f32 r s)) (patch (exp.f32 (/.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (exp (/ r s)) (taylor 0 s) (#s(alt (exp.f32 (/.f32 r s)) (patch (exp.f32 (/.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (exp (/ r s)) (taylor 0 s) (#s(alt (exp.f32 (/.f32 r s)) (patch (exp.f32 (/.f32 r s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) (patch (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 s r) (PI.f32)) (patch (.f32 (.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 s r) (PI.f32)) (patch (.f32 (.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 s r) (PI.f32)) (patch (.f32 (.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 s r) (PI.f32)) (patch (.f32 (.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r s) (taylor 0 s) (#s(alt (.f32 s r) (patch (.f32 s r) #<representation binary32>) () ())) ())
#s(alt (* r s) (taylor 0 s) (#s(alt (.f32 s r) (patch (.f32 s r) #<representation binary32>) () ())) ())
#s(alt (* r s) (taylor 0 s) (#s(alt (.f32 s r) (patch (.f32 s r) #<representation binary32>) () ())) ())
#s(alt (* r s) (taylor 0 s) (#s(alt (.f32 s r) (patch (.f32 s r) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 r (.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))) (patch (.f32 (.f32 r (.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 r (.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))) (patch (.f32 (.f32 r (.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 r (.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))) (patch (.f32 (.f32 r (.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (.f32 (.f32 r (.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))) (patch (.f32 (.f32 r (.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))))) (patch #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (*.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))))) (patch #s(approx (+ (/ ( 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (*.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ())
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#s(alt (* -7/324 (/ r (* (pow s 4) (PI)))) (taylor -inf r) (#s(alt (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) (patch (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* r (- (* 7/324 (/ 1 (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* r (* (pow s 3) (PI)))))))) (taylor -inf r) (#s(alt (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) (patch (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* r (- (* 7/324 (/ 1 (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* r (* (pow s 3) (PI)))))))) (taylor -inf r) (#s(alt (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) (patch (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* r (- (* 7/324 (/ 1 (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* r (* (pow s 3) (PI)))))))) (taylor -inf r) (#s(alt (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) (patch (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r)) (patch (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r)) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r)) (patch (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r)) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r)) (patch (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r)) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r)) (patch (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r)) #<representation binary32>) () ())) ())
#s(alt (* r (PI)) (taylor -inf r) (#s(alt (.f32 (PI.f32) r) (patch (.f32 (PI.f32) r) #<representation binary32>) () ())) ())
#s(alt (* r (PI)) (taylor -inf r) (#s(alt (.f32 (PI.f32) r) (patch (.f32 (PI.f32) r) #<representation binary32>) () ())) ())
#s(alt (* r (PI)) (taylor -inf r) (#s(alt (.f32 (PI.f32) r) (patch (.f32 (PI.f32) r) #<representation binary32>) () ())) ())
#s(alt (* r (PI)) (taylor -inf r) (#s(alt (.f32 (PI.f32) r) (patch (.f32 (PI.f32) r) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (.f32 (.f32 (PI.f32) s) r) (patch (.f32 (.f32 (PI.f32) s) r) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (.f32 (.f32 (PI.f32) s) r) (patch (.f32 (.f32 (PI.f32) s) r) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (.f32 (.f32 (PI.f32) s) r) (patch (.f32 (.f32 (PI.f32) s) r) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor -inf r) (#s(alt (.f32 (.f32 (PI.f32) s) r) (patch (.f32 (.f32 (PI.f32) s) r) #<representation binary32>) () ())) ())
#s(alt (* -7/324 (/ (pow r 2) (* (pow s 4) (PI)))) (taylor -inf r) (#s(alt (.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r) (patch (.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r) #<representation binary32>) () ())) ())
#s(alt (* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))) (taylor -inf r) (#s(alt (.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r) (patch (.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r) #<representation binary32>) () ())) ())
#s(alt (* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))) (taylor -inf r) (#s(alt (.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r) (patch (.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r) #<representation binary32>) () ())) ())
#s(alt (* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))) (taylor -inf r) (#s(alt (.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r) (patch (.f32 (fma.f32 (/.f32 r (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
115.0ms	s	@	0	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* 6 s) (* (PI) r)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ 1/8 (exp (/ r s))) (exp (/ r s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (* (* r (* (sqrt (PI)) s)) (sqrt (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r (* (sqrt (PI)) s)) (sqrt (PI)))) (* r (* (sqrt (PI)) s)) (+ (* (* (/ r (PI)) 5/72) s) (* (/ (* r r) (PI)) -7/324)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/ (+ (* (* (/ r (PI)) 5/72) s) (* (/ (* r r) (PI)) -7/324)) (pow s 4)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (+ (* (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) (* (* 6 s) (* (PI) r)) (* (PI) s) (* (PI) r) (* (* (PI) s) r) (PI) (* (sqrt (PI)) s) (* (+ (* (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) r))
59.0ms	s	@	-inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* 6 s) (* (PI) r)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ 1/8 (exp (/ r s))) (exp (/ r s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (* (* r (* (sqrt (PI)) s)) (sqrt (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r (* (sqrt (PI)) s)) (sqrt (PI)))) (* r (* (sqrt (PI)) s)) (+ (* (* (/ r (PI)) 5/72) s) (* (/ (* r r) (PI)) -7/324)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/ (+ (* (* (/ r (PI)) 5/72) s) (* (/ (* r r) (PI)) -7/324)) (pow s 4)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (+ (* (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) (* (* 6 s) (* (PI) r)) (* (PI) s) (* (PI) r) (* (* (PI) s) r) (PI) (* (sqrt (PI)) s) (* (+ (* (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) r))
8.0ms	r	@	-inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* 6 s) (* (PI) r)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ 1/8 (exp (/ r s))) (exp (/ r s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (* (* r (* (sqrt (PI)) s)) (sqrt (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r (* (sqrt (PI)) s)) (sqrt (PI)))) (* r (* (sqrt (PI)) s)) (+ (* (* (/ r (PI)) 5/72) s) (* (/ (* r r) (PI)) -7/324)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/ (+ (* (* (/ r (PI)) 5/72) s) (* (/ (* r r) (PI)) -7/324)) (pow s 4)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (+ (* (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) (* (* 6 s) (* (PI) r)) (* (PI) s) (* (PI) r) (* (* (PI) s) r) (PI) (* (sqrt (PI)) s) (* (+ (* (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) r))
7.0ms	r	@	inf	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* 6 s) (* (PI) r)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ 1/8 (exp (/ r s))) (exp (/ r s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (* (* r (* (sqrt (PI)) s)) (sqrt (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r (* (sqrt (PI)) s)) (sqrt (PI)))) (* r (* (sqrt (PI)) s)) (+ (* (* (/ r (PI)) 5/72) s) (* (/ (* r r) (PI)) -7/324)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/ (+ (* (* (/ r (PI)) 5/72) s) (* (/ (* r r) (PI)) -7/324)) (pow s 4)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (+ (* (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) (* (* 6 s) (* (PI) r)) (* (PI) s) (* (PI) r) (* (* (PI) s) r) (PI) (* (sqrt (PI)) s) (* (+ (* (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) r))
5.0ms	r	@	0	((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* 6 s) (* (PI) r)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ 1/8 (exp (/ r s))) (exp (/ r s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (* (* r (* (sqrt (PI)) s)) (sqrt (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r (* (sqrt (PI)) s)) (sqrt (PI)))) (* r (* (sqrt (PI)) s)) (+ (* (* (/ r (PI)) 5/72) s) (* (/ (* r r) (PI)) -7/324)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/ (+ (* (* (/ r (PI)) 5/72) s) (* (/ (* r r) (PI)) -7/324)) (pow s 4)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (+ (* (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) (* (* 6 s) (* (PI) r)) (* (PI) s) (* (PI) r) (* (* (PI) s) r) (PI) (* (sqrt (PI)) s) (* (+ (* (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) r))

simplify215.0ms (1.7%)

Memory

-18.3MiB live, 212.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	8003
1	1288	7585
2	3885	7363
0	8190	7174

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

rewrite166.0ms (1.3%)

Memory

-0.8MiB live, 225.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	643
0	151	631
1	589	591
2	5762	591
0	8050	583

Stop Event

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

Counts

27 → 344

Calls

Call 1

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

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eval166.0ms (1.3%)

Memory: 23.7MiB live, 172.9MiB allocated
Compiler: Compiled 26 230 to 2 862 computations (89.1% saved)

prune369.0ms (3%)

Memory

-2.7MiB live, 676.7MiB allocated

Pruning

120 alts after pruning (114 fresh and 6 done)

	Pruned	Kept	Total
New	1 089	51	1 140
Fresh	17	63	80
Picked	2	3	5
Done	2	3	5
Total	1 110	120	1 230

Accuracy

99.4%

Counts

1 230 → 120

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.5%	(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) r (.f32 r (.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))))) (.f32 r r))
	99.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 (.f32 s r) #s(literal 6 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	8.3%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 r s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	8.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) r (/.f32 #s(literal -1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r))))
	8.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 r s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) r #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	9.1%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/8 binary32) (PI.f32))) s) s) r (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r))))
	9.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) s) s) r (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r))))
	9.0%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 r (.f32 (.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r))))
	8.5%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r))))
	99.1%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32))))
	99.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)))
	99.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (.f32 (sqrt.f32 (PI.f32)) r) (sqrt.f32 (PI.f32))))))
	8.5%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) #s(approx (exp (/ r s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 s s)) r (/.f32 #s(literal 1 binary32) s)) r #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r))))
	52.4%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) #s(approx (exp (/ r s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 r (/.f32 r s))) r) s)))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))
	12.9%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) #s(approx (exp (/ r s)) (+.f32 #s(literal 1 binary32) (/.f32 r s)))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))
	99.2%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r))))
	8.7%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(approx (/ 1/8 (exp (/ r s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) s) (/.f32 r s) (/.f32 #s(literal -1/8 binary32) s)) r #s(literal 1/8 binary32))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))
	9.0%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(approx (/ 1/8 (exp (/ r s))) (fma.f32 #s(literal -1/8 binary32) (/.f32 r s) #s(literal 1/8 binary32))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))
	8.5%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(approx (/ 1/8 (exp (/ r s))) #s(literal 1/8 binary32)) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))
	97.7%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/6 binary32)) #s(literal 2 binary32)) r)))
	97.7%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/3 binary32)) r)))
	99.0%	(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (.f32 #s(literal -1/3 binary32) (/.f32 r s))) r)))
	6.1%	(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) (fma.f32 (.f32 r (/.f32 r s)) (/.f32 #s(literal 1/18 binary32) s) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32)))) r)))
	5.8%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) r)))
	8.8%	(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) #s(literal 1 binary32)) r)))
	97.6%	(.f32 (/.f32 (exp.f32 (.f32 (log.f32 (*.f32 s #s(literal 8 binary32))) #s(literal -1 binary32))) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
	97.7%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
	97.6%	(.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (sqrt.f32 (PI.f32)))) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
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	4.8%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) #s(approx (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (.f32 #s(approx (+ ( (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) (/.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (PI.f32))) (pow.f32 s #s(literal 3 binary32)))) r))))
	4.7%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) #s(approx (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (.f32 #s(approx (+ ( (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -7/324 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal 5/72 binary32))) (pow.f32 s #s(literal 4 binary32)))) r))))
	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 (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) #s(approx (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (.f32 #s(approx (+ ( (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 7/324 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -5/72 binary32) (PI.f32)))) (pow.f32 s #s(literal 3 binary32)))) r))))
	97.7%	#s(approx (* (/ (/ 1/8 s) (PI)) (+ (/ (exp (/ (neg r) s)) r) (/ (cbrt (exp (/ (neg r) s))) r))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) r)) (/.f32 (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))) s)))
	97.7%	#s(approx (* (/ (/ 1/8 s) (PI)) (+ (/ (exp (/ (neg r) s)) r) (/ (cbrt (exp (/ (neg r) s))) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)) s)))

Compiler

Compiled 6 420 to 2 877 computations (55.2% saved)

regimes207.0ms (1.7%)

Memory

12.8MiB live, 442.4MiB allocated

Counts

166 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 s) (PI.f32)) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)) (neg.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 r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.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) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) r) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) (/.f32 #s(literal 1 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) (PI.f32)) r) (/.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 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) (/.f32 #s(literal 1 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 binary32) r) (/.f32 #s(literal 1/4 binary32) (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 #s(literal 1 binary32) (/.f32 s (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (*.f32 (sqrt.f32 (PI.f32)) s)) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (sqrt.f32 (PI.f32)) s) (*.f32 (sqrt.f32 (PI.f32)) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) s)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (.f32 (.f32 (sqrt.f32 (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (sqrt.f32 (PI.f32)) s)) (.f32 r (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (sqrt.f32 (PI.f32)) s) r)) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)) s) r (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (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 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (sqrt.f32 (PI.f32)) s) r)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (/.f32 (fma.f32 (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) s (.f32 #s(literal -7/324 binary32) (.f32 (/.f32 r (PI.f32)) r))) (.f32 s 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 (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
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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 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
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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 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) s) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
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(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (.f32 r (/.f32 #s(literal 1/3 binary32) s)))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32))))
(+.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (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)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (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)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 (PI.f32) r) s) #s(literal 6 binary32))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 s r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.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 (PI.f32) (.f32 #s(literal 6 binary32) (*.f32 s r)))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (E.f32) (/.f32 (neg.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 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (.f32 (sqrt.f32 (PI.f32)) r) (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)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (.f32 r (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)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 (.f32 s r) #s(literal 6 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (* (/ (/ 1/8 s) (PI)) (+ (/ (exp (/ (neg r) s)) r) (/ (cbrt (exp (/ (neg r) s))) r))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) r)) (/.f32 (+.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (/.f32 (neg.f32 r) s))) s)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
(.f32 (/.f32 #s(literal 3/4 binary32) (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
#s(approx (* (/ (/ 1/8 s) (PI)) (+ (/ (exp (/ (neg r) s)) r) (/ (cbrt (exp (/ (neg r) s))) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)) s)))
(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/3 binary32)) r)))
(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) r (.f32 r (.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))))) (.f32 r r))
(-.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r) (.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) s)) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
(.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (sqrt.f32 (PI.f32)))) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r)))
(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/6 binary32)) #s(literal 2 binary32)) r)))
(.f32 (/.f32 (exp.f32 (.f32 (log.f32 (*.f32 s #s(literal 8 binary32))) #s(literal -1 binary32))) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.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)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 (.f32 s r) #s(literal 6 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))))
(/.f32 (+.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (/.f32 (/.f32 r (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (/.f32 (/.f32 (/.f32 r (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r)))
(/.f32 (/.f32 (+.f32 (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (/.f32 (/.f32 r (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (/.f32 (/.f32 r (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32)))) (/.f32 (/.f32 r (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))))
(/.f32 (.f32 (/.f32 #s(literal 1/512 binary32) (pow.f32 (.f32 (PI.f32) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))) r) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) #s(literal 3 binary32)))) (+.f32 (pow.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (cbrt.f32 (exp.f32 (/.f32 r s)))) r) #s(literal 2 binary32)) (.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (exp.f32 (/.f32 r s))) r) (/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s))))) r))))

Outputs

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

Calls

3 calls:

105.0ms

47.0ms

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

44.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`s`
99.2%	1	`r`
99.2%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes120.0ms (1%)

Memory

17.7MiB live, 254.8MiB allocated

Counts

144 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

41.0ms

36.0ms

32.0ms

(+.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
99.2%	1	`s`
99.2%	1	`r`
99.2%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes118.0ms (0.9%)

Memory

-23.2MiB live, 192.5MiB allocated

Counts

143 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

43.0ms

36.0ms

29.0ms

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

Results

Accuracy	Segments	Branch
99.2%	1	`s`
99.2%	1	`r`
99.2%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes107.0ms (0.9%)

Memory

17.0MiB live, 213.4MiB allocated

Counts

132 → 1

Calls

Call 1

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

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

Calls

3 calls:

34.0ms

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
99.0%	1	`s`
99.0%	1	`r`
99.0%	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 35 to 29 computations (17.1% saved)

regimes189.0ms (1.5%)

Memory

0.5MiB live, 197.4MiB allocated

Counts

131 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

61.0ms

(+.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)))

59.0ms

37.0ms

Results

Accuracy	Segments	Branch
52.4%	1	`s`
52.4%	1	`r`
52.4%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes106.0ms (0.9%)

Memory

2.2MiB live, 76.2MiB allocated

Counts

107 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 s) (PI.f32)) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)) (neg.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 r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.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) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) r) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) 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))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 (/.f32 r (PI.f32)) (.f32 #s(literal 5/72 binary32) s) (.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (PI.f32)) r))) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) #s(approx (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (.f32 #s(approx (+ ( (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) (/.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (PI.f32))) (pow.f32 s #s(literal 3 binary32)))) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (+.f32 (.f32 (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) s) (.f32 #s(literal -7/324 binary32) (.f32 (/.f32 r (PI.f32)) r))) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) #s(approx (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (.f32 #s(approx (+ ( (/ r (* (pow s 4) (PI))) -7/324) (/ 5/72 (* (pow s 3) (PI)))) (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 7/324 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -5/72 binary32) (PI.f32)))) (pow.f32 s #s(literal 3 binary32)))) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 r (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal 5/72 binary32) s)) (.f32 #s(literal -7/324 binary32) (.f32 (/.f32 r (PI.f32)) r))) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) #s(approx (* (- (/ (/ 5/72 (* (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (* r r)) (/.f32 (fma.f32 (/.f32 (/.f32 (.f32 r r) (PI.f32)) s) #s(literal -7/324 binary32) (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (pow.f32 s #s(literal 3 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) #s(approx (/ (+ (* (* (/ r (PI)) 5/72) s) (* (/ (* r r) (PI)) -7/324)) (pow s 4)) (/.f32 (fma.f32 (/.f32 (/.f32 (.f32 r r) (PI.f32)) s) #s(literal -7/324 binary32) (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (pow.f32 s #s(literal 3 binary32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (.f32 #s(approx (- (/ (/ 5/72 ( (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 s r) (/.f32 #s(literal -7/324 binary32) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))) (*.f32 r r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 #s(approx (+ (* (* (/ r (PI)) 5/72) s) (* (/ (* r r) (PI)) -7/324)) (.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) r) (/.f32 s (PI.f32)) (/.f32 #s(literal -7/324 binary32) (PI.f32))) (.f32 r r))) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (PI.f32)) (.f32 (/.f32 s (PI.f32)) (fma.f32 #s(literal -1/6 binary32) s (*.f32 #s(literal 5/72 binary32) r)))) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 (.f32 #s(literal -7/324 binary32) r) (/.f32 r (PI.f32)) (.f32 (/.f32 s (PI.f32)) (fma.f32 #s(literal -1/6 binary32) s (*.f32 #s(literal 5/72 binary32) r)))) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 (.f32 #s(literal -7/324 binary32) r) (/.f32 r (PI.f32)) (.f32 (/.f32 s (PI.f32)) (fma.f32 #s(literal 5/72 binary32) r (*.f32 #s(literal -1/6 binary32) s)))) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (.f32 #s(approx (- (/ (/ 5/72 ( (pow s 3) (PI))) r) (/ 7/324 (* (pow s 4) (PI)))) (/.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) r)) (/.f32 (/.f32 #s(literal 7/324 binary32) (PI.f32)) s)) (pow.f32 s #s(literal 3 binary32)))) (.f32 r r))))
(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) #s(literal 1 binary32)) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(approx (/ 1/8 (exp (/ r s))) #s(literal 1/8 binary32)) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s)) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r))))
(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) #s(approx (/ (cbrt (exp (/ (neg r) s))) r) (-.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/3 binary32) s)))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (.f32 (.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(approx (/ 1/8 (exp (/ r s))) (fma.f32 #s(literal -1/8 binary32) (/.f32 r s) #s(literal 1/8 binary32))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) #s(approx (exp (/ r s)) (+.f32 #s(literal 1 binary32) (/.f32 r s)))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (-.f32 #s(literal 1 binary32) (/.f32 r s)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 (.f32 #s(literal -7/324 binary32) r) (/.f32 r (PI.f32)) (.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 s r) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s)) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 s r) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) s (.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (- (/ (- (/ -1/6 (PI)) (/ (* r (- (/ -5/72 (PI)) (* (/ r (PI)) (/ -7/324 s)))) s)) s) (/ -1/4 (* (PI) r))) s) (.f32 (fma.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) s) s) r) (-.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 #s(literal 1/6 binary32) r)) (/.f32 #s(literal -7/324 binary32) (.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32)))) (*.f32 r r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 r (.f32 (.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (.f32 (/.f32 #s(literal -7/324 binary32) (pow.f32 s #s(literal 3 binary32))) r) (/.f32 r (PI.f32)) (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 r s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -7/324 binary32) r) (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32)) (+.f32 (/.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))) s))
(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 #s(approx (cbrt (exp (/ (neg r) s))) (fma.f32 (.f32 r (/.f32 r s)) (/.f32 #s(literal 1/18 binary32) s) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32)))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(approx (/ 1/8 (exp (/ r s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) s) (/.f32 r s) (/.f32 #s(literal -1/8 binary32) s)) r #s(literal 1/8 binary32))) (.f32 (.f32 (PI.f32) s) r))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (*.f32 (PI.f32) r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) s) s) r (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 #s(literal 6 binary32) s) (.f32 (PI.f32) r))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 r (/.f32 r s)) #s(literal -1/2 binary32) r) s)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 #s(literal -3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (fma.f32 (/.f32 r s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) r #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Outputs

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

Calls

3 calls:

41.0ms

33.0ms

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

26.0ms

Results

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

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes149.0ms (1.2%)

Memory

-25.3MiB live, 72.2MiB allocated

Counts

94 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

70.0ms

50.0ms

(+.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)))

24.0ms

Results

Accuracy	Segments	Branch
9.1%	1	`s`
9.1%	1	`r`
9.1%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes53.0ms (0.4%)

Memory

16.4MiB live, 54.7MiB allocated

Counts

49 → 1

Calls

Call 1

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

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 (sqrt.f32 (PI.f32)) s)) (*.f32 r (sqrt.f32 (PI.f32)))))

Calls

3 calls:

27.0ms

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
8.4%	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)))`
8.4%	1	`r`
8.4%	1	`s`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes45.0ms (0.4%)

Memory

2.6MiB live, 40.1MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

26.0ms

10.0ms

8.0ms

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

Results

Accuracy	Segments	Branch
8.4%	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)))`
8.4%	1	`s`
8.4%	1	`r`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes44.0ms (0.3%)

Memory

0.5MiB live, 38.1MiB 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 (.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (neg.f32 s) (PI.f32)) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r)) (neg.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 r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.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) r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) r) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) (/.f32 #s(literal 1 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) (PI.f32)) r) (/.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 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)) (/.f32 #s(literal 1 binary32) r))))

Outputs

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

Calls

3 calls:

30.0ms

7.0ms

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
8.4%	1	`s`
8.4%	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)))`
8.4%	1	`r`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes34.0ms (0.3%)

Memory

-15.2MiB live, 26.6MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

24.0ms

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
8.4%	1	`s`
8.4%	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)))`
8.4%	1	`r`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes39.0ms (0.3%)

Memory

-12.0MiB live, 27.6MiB allocated

Counts

11 → 1

Calls

Call 1

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

Calls

3 calls:

31.0ms

4.0ms

3.0ms

(+.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
8.4%	1	`s`
8.4%	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)))`
8.4%	1	`r`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes7.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
8.4%	1	`s`
8.4%	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)))`
8.4%	1	`r`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes4.0ms (0%)

Memory

14.0MiB live, 14.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms

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

1.0ms

Results

Accuracy	Segments	Branch
8.4%	1	`s`
8.4%	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)))`
8.4%	1	`r`

Compiler

Compiled 35 to 29 computations (17.1% saved)

simplify167.0ms (1.3%)

Memory

-34.4MiB live, 91.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	610
1	202	610
2	232	610
3	274	610
4	319	610
5	409	610
6	631	610
7	1063	610
8	1638	610
9	2156	610
10	2579	610
11	2802	610
12	2916	610
13	2953	610
14	2955	610
15	2955	610
16	2955	610
17	2960	610

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.7s (13.8%)

Memory

20.0MiB live, 1 409.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	447	6518
1	1315	6171
2	3908	6026
0	8135	5883
0	105	643
0	151	631
1	589	591
2	5762	591
0	8050	583
0	346	6183
1	1040	5871
2	3010	5684
0	8372	5568
0	94	447
0	139	423
1	526	391
2	5430	391
0	8712	382
0	25	67
0	43	67
1	142	61
2	1312	55
0	9456	55
0	413	8003
1	1288	7585
2	3885	7363
0	8190	7174
0	178	1390
1	496	1337
2	1357	1298
3	3808	1258
0	8094	1235
0	84	349
0	136	362
1	494	327
2	5161	297
0	8138	297

Stop Event

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

Compiler

Compiled 1 150 to 652 computations (43.3% saved)

preprocess110.0ms (0.9%)

Memory: -14.9MiB live, 262.4MiB allocated
Compiler: Compiled 630 to 286 computations (54.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze72.0ms (0.6%)

sample2.4s (19.4%)

explain374.0ms (3%)

preprocess198.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify198.0ms (1.6%)

localize76.0ms (0.6%)

series37.0ms (0.3%)

simplify258.0ms (2.1%)

rewrite240.0ms (1.9%)

eval59.0ms (0.5%)

prune39.0ms (0.3%)

simplify236.0ms (1.9%)

localize339.0ms (2.7%)

series132.0ms (1.1%)

simplify232.0ms (1.9%)

rewrite341.0ms (2.7%)

eval437.0ms (3.5%)

prune268.0ms (2.1%)

simplify149.0ms (1.2%)

localize269.0ms (2.1%)

series64.0ms (0.5%)

simplify236.0ms (1.9%)

rewrite309.0ms (2.5%)

eval150.0ms (1.2%)

prune312.0ms (2.5%)

simplify188.0ms (1.5%)

localize290.0ms (2.3%)

series436.0ms (3.5%)

simplify215.0ms (1.7%)

rewrite166.0ms (1.3%)

eval166.0ms (1.3%)

prune369.0ms (3%)

regimes207.0ms (1.7%)

regimes120.0ms (1%)

regimes118.0ms (0.9%)

regimes107.0ms (0.9%)

regimes189.0ms (1.5%)

regimes106.0ms (0.9%)

regimes149.0ms (1.2%)

regimes53.0ms (0.4%)

regimes45.0ms (0.4%)

regimes44.0ms (0.3%)

regimes34.0ms (0.3%)

regimes39.0ms (0.3%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

simplify167.0ms (1.3%)

soundness1.7s (13.8%)

preprocess110.0ms (0.9%)

end0.0ms (0%)

Profiling