Metrics for Disney BSSRDF, PDF of scattering profile

analyze67.0ms (0.5%)

Memory

-7.4MiB live, 108.7MiB 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)

sample2.1s (15.7%)

Memory

90.7MiB live, 3 254.8MiB allocated

Samples

1.5s

8 256×

valid

Precisions

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

ival-mult: 491.0ms (38.6% of total)

ival-div: 267.0ms (21% of total)

ival-exp: 148.0ms (11.6% of total)

const: 122.0ms (9.6% of total)

ival-<=: 44.0ms (3.5% of total)

ival-neg: 43.0ms (3.4% of total)

ival-<: 38.0ms (3% of total)

ival-add: 37.0ms (2.9% of total)

ival-pi: 29.0ms (2.3% of total)

exact: 28.0ms (2.2% of total)

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

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

Bogosity

preprocess308.0ms (2.3%)

Memory

20.0MiB live, 409.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

explain261.0ms (2%)

Memory

-9.8MiB live, 513.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
2	3	(2.617034169816179e-6 0.0011283998610451818)	2	(6.999522156547755e-5 0.016017045825719833)	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`
0	0	-	0	-	`(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)`
0	0	-	0	-	`(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)`
0	0	-	0	-	`(*.f32 #s(literal 6 binary32) (PI.f32))`
0	0	-	0	-	`(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))`
0	0	-	0	-	`(neg.f32 r)`
0	0	-	0	-	`s`
0	0	-	0	-	`(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))`
0	0	-	0	-	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
0	0	-	0	-	`#s(literal 3/4 binary32)`
0	0	-	0	-	`(/.f32 (neg.f32 r) s)`
0	0	-	0	-	`#s(literal 1/4 binary32)`
0	4	(2.617034169816179e-6 0.0011283998610451818)	0	-	`(exp.f32 (/.f32 (neg.f32 r) s))`
0	0	-	0	-	`(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)`
0	0	-	0	-	`(*.f32 #s(literal 3 binary32) s)`
0	0	-	0	-	`(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)`
0	0	-	0	-	`#s(literal 6 binary32)`
0	0	-	0	-	`r`
0	0	-	0	-	`#s(literal 3 binary32)`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`
0	0	-	0	-	`(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) s))`	sensitivity	4	3
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`	sensitivity	3	2

Confusion

	Predicted +	Predicted -
+	1	0
-	4	251

Precision

0.2

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	4	3	248

Precision?

0.125

Recall?

1.0

Freqs

test

number	freq
0	251
1	3
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms

512×

valid

Compiler

Compiled 366 to 104 computations (71.6% saved)

Precisions

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

ival-mult: 24.0ms (44.8% of total)

ival-div: 14.0ms (26.1% of total)

ival-exp: 7.0ms (13.1% of total)

ival-neg: 3.0ms (5.6% of total)

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

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

exact: 1.0ms (1.9% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.6%

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify249.0ms (1.9%)

Memory

8.4MiB live, 285.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize65.0ms (0.5%)

Memory

-6.4MiB live, 113.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
✓	accuracy	99.2%	(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
✓	accuracy	99.2%	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)

Samples

39.0ms

256×

valid

Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions

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

ival-mult: 11.0ms (40.4% of total)

ival-div: 9.0ms (33.1% of total)

ival-exp: 4.0ms (14.7% of total)

ival-pi: 1.0ms (3.7% of total)

ival-add: 1.0ms (3.7% of total)

exact: 1.0ms (3.7% of total)

ival-neg: 1.0ms (3.7% of total)

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

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

series28.0ms (0.2%)

Memory

12.8MiB live, 50.7MiB allocated

Counts

7 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

simplify853.0ms (6.5%)

Memory

-121.1MiB live, 488.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	1900
1	756	1845
2	2113	1788
3	5956	1788
0	8227	1755

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite713.0ms (5.4%)

Memory

-22.1MiB live, 430.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	90
0	43	90
1	142	79
2	1312	71
0	9456	71

Stop Event

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

Counts

7 → 546

Calls

Call 1

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

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

eval120.0ms (0.9%)

Memory: -27.3MiB live, 64.6MiB allocated
Compiler: Compiled 26 733 to 1 727 computations (93.5% saved)

prune175.0ms (1.3%)

Memory

8.0MiB live, 169.8MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	677	25	702
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	678	25	703

Accuracy

99.8%

Counts

703 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	98.1%	(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r)) (*.f32 s #s(literal 6 binary32))) (PI.f32)))
	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) (.f32 (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))) #s(literal 4/3 binary32))))
	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r))
	99.4%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))))
	8.3%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))) s)))
▶	9.9%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
	8.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
	9.9%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	9.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
	8.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
	8.1%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (.f32 s (PI.f32)))))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	99.5%	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))
▶	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	9.3%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
	8.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
▶	7.4%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	8.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (.f32 s (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	99.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))))) r))
▶	8.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	9.3%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))))
	8.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
	99.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))

Compiler

Compiled 1 568 to 1 018 computations (35.1% saved)

simplify432.0ms (3.3%)

Memory

19.6MiB live, 292.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (PI.f32) (.f32 r s))
✓	cost-diff	0	(/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))
✓	cost-diff	64	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
✓	cost-diff	8448	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
✓	cost-diff	0	(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
✓	cost-diff	224	(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
✓	cost-diff	352	(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
✓	cost-diff	6080	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
✓	cost-diff	0	(/.f32 r (.f32 s (.f32 s (PI.f32))))
✓	cost-diff	0	(fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
✓	cost-diff	0	(/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s)
✓	cost-diff	640	(+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 s (PI.f32))
✓	cost-diff	0	(.f32 r (.f32 s (PI.f32)))
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
✓	cost-diff	0	(*.f32 s (PI.f32))
✓	cost-diff	0	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	cost-diff	192	(+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))
✓	cost-diff	7936	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))

Rules

5 336×	`lower-fma.f64`
5 326×	`lower-fma.f32`
5 130×	`lower-*.f64`
5 096×	`lower-*.f32`
2 884×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	629
0	143	591
1	270	584
2	719	552
3	2234	551
4	4012	551
5	4224	551
6	4657	551
7	5419	551
8	5746	551
9	5788	551
10	7291	551
11	7973	551
0	8044	543

Stop Event

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

Calls

Call 1

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

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

localize606.0ms (4.6%)

Memory

-9.2MiB live, 506.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 r s))
✓	accuracy	98.4%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
✓	accuracy	98.4%	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
✓	accuracy	99.1%	(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
✓	accuracy	99.0%	(*.f32 s (PI.f32))
✓	accuracy	98.5%	(/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
✓	accuracy	98.8%	(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
✓	accuracy	97.6%	(fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
✓	accuracy	96.0%	(fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
✓	accuracy	55.9%	(+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.2%	(.f32 r (.f32 s (PI.f32)))
✓	accuracy	99.1%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
✓	accuracy	99.0%	(*.f32 s (PI.f32))
✓	accuracy	99.7%	(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
✓	accuracy	99.3%	(/.f32 r (*.f32 s #s(literal -3 binary32)))
✓	accuracy	99.1%	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	accuracy	99.0%	(*.f32 s (PI.f32))

Samples

263.0ms

256×

valid

Compiler

Compiled 644 to 80 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-mult: 85.0ms (36% of total)

const: 61.0ms (25.8% of total)

ival-div: 50.0ms (21.2% of total)

ival-add: 29.0ms (12.3% of total)

ival-exp: 7.0ms (3% of total)

ival-neg: 2.0ms (0.8% of total)

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

exact: 1.0ms (0.4% of total)

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

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

series58.0ms (0.4%)

Memory

-0.4MiB live, 155.5MiB allocated

Counts

26 → 540

Calls

Call 1

Inputs
#<alt (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))>
#<alt (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))>
#<alt (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))>
#<alt (*.f32 s (PI.f32))>
#<alt (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))>
#<alt (.f32 r (.f32 s (PI.f32)))>
#<alt (PI.f32)>
#<alt (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))>
#<alt (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s)>
#<alt (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))>
#<alt (/.f32 r (.f32 s (.f32 s (PI.f32))))>
#<alt (+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))>
#<alt (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))>
#<alt (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))>
#<alt (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))>
#<alt (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))>
#<alt (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))>
#<alt (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))>
#<alt (.f32 (PI.f32) (.f32 r s))>
#<alt (/.f32 r (*.f32 s #s(literal -3 binary32)))>
#<alt (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))>
#<alt (fma.f32 #s(literal -7/324 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))>
#<alt (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))>
#<alt (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)>
#<alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)>
#<alt (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))>

Outputs
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#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))>
#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))>
#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))>
#<alt (* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (/ 2 r)>
#<alt (/ (+ 2 (* -4/3 (/ r s))) r)>
#<alt (/ (+ 2 (* r (- (* 5/9 (/ r (pow s 2))) (* 4/3 (/ 1 s))))) r)>
#<alt (/ (+ 2 (* r (- (* r (+ (* -14/81 (/ r (pow s 3))) (* 5/9 (/ 1 (pow s 2))))) (* 4/3 (/ 1 s))))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) r))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) r))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) r))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) r))>
#<alt (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r))>
#<alt (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r))>
#<alt (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r))>
#<alt (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r))>
#<alt (/ 2 r)>
#<alt (- (* 2 (/ 1 r)) (* 4/3 (/ 1 s)))>
#<alt (- (+ (* 1/18 (/ r (pow s 2))) (+ (* 1/2 (/ r (pow s 2))) (* 2 (/ 1 r)))) (* 4/3 (/ 1 s)))>
#<alt (- (+ (* -1/6 (/ (pow r 2) (pow s 3))) (+ (* -1/162 (/ (pow r 2) (pow s 3))) (+ (* 1/18 (/ r (pow s 2))) (+ (* 1/2 (/ r (pow s 2))) (* 2 (/ 1 r)))))) (* 4/3 (/ 1 s)))>
#<alt (/ 2 r)>
#<alt (- (* 2 (/ 1 r)) (* 4/3 (/ 1 s)))>
#<alt (+ (* -1 (/ (+ 4/3 (* -1 (/ (+ (* 1/18 r) (* 1/2 r)) s))) s)) (* 2 (/ 1 r)))>
#<alt (+ (* -1 (/ (+ 4/3 (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (pow r 2)) (* 1/6 (pow r 2))) s)) (+ (* 1/18 r) (* 1/2 r))) s))) s)) (* 2 (/ 1 r)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
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#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (/ 1/4 (* r (* s (PI))))>
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#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
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#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
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#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 3) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (/ 5/72 (* r (* (pow s 2) (PI)))) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (/ 1/6 (* (pow r 2) (* s (PI)))))))>
#<alt (* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (PI))))) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 3))>
#<alt (/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))))) (pow s 3))>
#<alt (/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 3))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))>
#<alt (- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI))))>
#<alt (- (+ (* -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))))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))>
#<alt (+ (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))>
#<alt (* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* (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)))))))>
#<alt (* (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)))))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))>
#<alt (* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))>
#<alt (/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 4))>
#<alt (/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))))) (pow s 4))>
#<alt (/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 4))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -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)>
#<alt (/ 1/4 (* r (* s (PI))))>
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#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -5/72 (/ r (PI))) (* 7/324 (/ (pow r 2) (* s (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ (+ (* 5/72 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* 5/72 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* 5/72 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (* 5/72 (/ r (* (pow s 2) (PI))))>
#<alt (* r (+ (* 1/4 (/ 1 (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI))))))>
#<alt (* r (+ (* 1/4 (/ 1 (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI))))))>
#<alt (* r (+ (* 1/4 (/ 1 (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI))))))>
#<alt (* 5/72 (/ r (* (pow s 2) (PI))))>
#<alt (* r (+ (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 2) (PI))))))>
#<alt (* r (+ (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 2) (PI))))))>
#<alt (* r (+ (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 2) (PI))))))>
#<alt (* 5/72 (/ r (* (pow s 2) (PI))))>
#<alt (/ (+ (* 5/72 (/ r (PI))) (* 1/4 (/ (pow s 2) (* r (PI))))) (pow s 2))>
#<alt (/ (+ (* 5/72 (/ r (PI))) (* 1/4 (/ (pow s 2) (* r (PI))))) (pow s 2))>
#<alt (/ (+ (* 5/72 (/ r (PI))) (* 1/4 (/ (pow s 2) (* r (PI))))) (pow s 2))>
#<alt (/ 1/4 (* r (PI)))>
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#<alt (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))>
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#<alt (/ 1/4 (* r (PI)))>
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#<alt (/ r (* (pow s 2) (PI)))>
#<alt (/ r (* (pow s 2) (PI)))>
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#<alt (/ r (* (pow s 2) (PI)))>
#<alt (/ r (* (pow s 2) (PI)))>
#<alt (/ r (* (pow s 2) (PI)))>
#<alt (/ r (* (pow s 2) (PI)))>
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#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
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#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
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#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)>
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#<alt (/ (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))) (pow s 3))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>

Calls

135 calls:

Time	Variable		Point	Expression
7.0ms	s	@	-inf	(/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s)
3.0ms	r	@	inf	(/ 1/4 (* r (* s (PI))))
2.0ms	s	@	0	(/ 1/6 (* (PI) (* r s)))
1.0ms	r	@	-inf	(* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))
1.0ms	s	@	0	(* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))

simplify370.0ms (2.8%)

Memory

21.1MiB live, 656.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 148×	`lower-fma.f64`
9 148×	`lower-fma.f32`
5 762×	`lower-*.f64`
5 762×	`lower-*.f32`
2 862×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	666	7033
1	1985	6918
2	5671	6850
0	8052	6667

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

Inputs
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/ 2 r)
(/ (+ 2 (* -4/3 (/ r s))) r)
(/ (+ 2 (* r (- (* 5/9 (/ r (pow s 2))) (* 4/3 (/ 1 s))))) r)
(/ (+ 2 (* r (- (* r (+ (* -14/81 (/ r (pow s 3))) (* 5/9 (/ 1 (pow s 2))))) (* 4/3 (/ 1 s))))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) r)
(* -1 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) r))
(* -1 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) r))
(* -1 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) r))
(* -1 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) r))
(+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r))
(+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r))
(+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r))
(+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r))
(/ 2 r)
(- (* 2 (/ 1 r)) (* 4/3 (/ 1 s)))
(- (+ (* 1/18 (/ r (pow s 2))) (+ (* 1/2 (/ r (pow s 2))) (* 2 (/ 1 r)))) (* 4/3 (/ 1 s)))
(- (+ (* -1/6 (/ (pow r 2) (pow s 3))) (+ (* -1/162 (/ (pow r 2) (pow s 3))) (+ (* 1/18 (/ r (pow s 2))) (+ (* 1/2 (/ r (pow s 2))) (* 2 (/ 1 r)))))) (* 4/3 (/ 1 s)))
(/ 2 r)
(- (* 2 (/ 1 r)) (* 4/3 (/ 1 s)))
(+ (* -1 (/ (+ 4/3 (* -1 (/ (+ (* 1/18 r) (* 1/2 r)) s))) s)) (* 2 (/ 1 r)))
(+ (* -1 (/ (+ 4/3 (* -1 (/ (+ (* -1 (/ (+ (* 1/162 (pow r 2)) (* 1/6 (pow r 2))) s)) (+ (* 1/18 r) (* 1/2 r))) s))) s)) (* 2 (/ 1 r)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(/ 1/4 (* r (PI)))
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 3) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (/ 5/72 (* r (* (pow s 2) (PI)))) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (/ 1/6 (* (pow r 2) (* s (PI)))))))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (PI))))) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 3))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))))) (pow s 3))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 3))
(/ 1/4 (* r (PI)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI))))
(- (+ (* -7/324 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI))))
(/ 1/4 (* r (PI)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(+ (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* -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)))))))
(* -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) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(* (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))))))
(* -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))
(/ 1/4 (* 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 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -5/72 (/ r (PI))) (* 7/324 (/ (pow r 2) (* s (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (PI)))
(/ (+ (* 5/72 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI)))) r)
(/ (+ (* 5/72 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI)))) r)
(/ (+ (* 5/72 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI)))) r)
(* 5/72 (/ r (* (pow s 2) (PI))))
(* r (+ (* 1/4 (/ 1 (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI))))))
(* r (+ (* 1/4 (/ 1 (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI))))))
(* r (+ (* 1/4 (/ 1 (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI))))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(* r (+ (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 2) (PI))))))
(* r (+ (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 2) (PI))))))
(* r (+ (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 2) (PI))))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(/ (+ (* 5/72 (/ r (PI))) (* 1/4 (/ (pow s 2) (* r (PI))))) (pow s 2))
(/ (+ (* 5/72 (/ r (PI))) (* 1/4 (/ (pow s 2) (* r (PI))))) (pow s 2))
(/ (+ (* 5/72 (/ r (PI))) (* 1/4 (/ (pow s 2) (* r (PI))))) (pow s 2))
(/ 1/4 (* r (PI)))
(+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))
(+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))
(+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))
(/ 1/4 (* r (PI)))
(+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))
(+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))
(+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ r (* (pow s 2) (PI)))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/8 (* s (PI)))
(+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI)))))
(+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI)))))
(+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI)))))
(* 1/144 (/ (pow r 2) (* (pow s 3) (PI))))
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(* (pow r 2) (- (+ (/ 1/8 (* (pow r 2) (* s (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) (/ 1/24 (* r (* (pow s 2) (PI))))))
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Outputs
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
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(/.f32 (.f32 r #s(literal 1/144 binary32)) (.f32 s (.f32 s (.f32 s (PI.f32)))))
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(/.f32 (fma.f32 (/.f32 s (PI.f32)) #s(literal -1/24 binary32) (/.f32 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) (.f32 s (*.f32 s s)))
(/ (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))) (pow s 3))
(/.f32 (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 s (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (/.f32 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) (.f32 s (.f32 s s)))
(/ (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))) (pow s 3))
(/.f32 (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 s (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (/.f32 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) (.f32 s (.f32 s s)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(neg.f32 (+.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(* 2 (* s (PI)))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(/ 1/144 (* s (PI)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
(/ 1/144 (* s (PI)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
(/ 1/144 (* s (PI)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
(/ 1/144 (* s (PI)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
(/ 1/144 (* s (PI)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
(/ 1/144 (* s (PI)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
(/ 1/144 (* s (PI)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
(/ 1/144 (* s (PI)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
(/ 1/144 (* s (PI)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
(/ 1/144 (* s (PI)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
(/ 1/144 (* s (PI)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
(/ 1/144 (* s (PI)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))

rewrite466.0ms (3.5%)

Memory

4.7MiB live, 890.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 580×	`lower-*.f64`
5 546×	`lower-*.f32`
3 478×	`lower-fma.f64`
3 468×	`lower-fma.f32`
3 300×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	345
0	132	329
1	514	325
2	5290	319
0	8623	319

Stop Event

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

Counts

26 → 1 253

Calls

Call 1

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

Outputs
(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(+.f32 #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(pow.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (PI.f32) r))) (neg.f32 #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)))) (.f32 #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)))) (+.f32 (/.f32 (.f32 #s(literal 1/512 binary32) (exp.f32 (.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)) #s(literal 3 binary32)))) (.f32 (.f32 (.f32 r r) r) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 s (.f32 s s))))) (/.f32 (.f32 (exp.f32 (.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1/512 binary32)) (.f32 (.f32 (.f32 r r) r) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 s (.f32 s s))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))))) (-.f32 (.f32 #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r))) (.f32 (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32)))) (/.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (.f32 r r))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 s (PI.f32)) (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (.f32 s (.f32 (PI.f32) #s(literal 2 binary32))) (.f32 r (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 #s(literal 1/4 binary32) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r))) (.f32 (.f32 (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3/4 binary32)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)) (-.f32 #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))))) (.f32 (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32)))) (/.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (.f32 r r)))) (+.f32 (/.f32 (.f32 #s(literal 1/512 binary32) (exp.f32 (.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s)) #s(literal 3 binary32)))) (.f32 (.f32 (.f32 r r) r) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 s (.f32 s s))))) (/.f32 (.f32 (exp.f32 (.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))) #s(literal 1/512 binary32)) (.f32 (.f32 (.f32 r r) r) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 s (.f32 s s))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (PI.f32) r))) (neg.f32 #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)))) (-.f32 (.f32 (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32)))) (/.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (.f32 r r))) (.f32 #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 (PI.f32) r))) (exp.f32 (/.f32 r (neg.f32 s)))) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) r)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) #s(approx (/ ( 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (PI.f32) r))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (/.f32 #s(literal 3/4 binary32) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
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(/.f32 (/.f32 (/.f32 #s(literal 1/144 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 #s(literal 1/144 binary32) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))))
(.f32 #s(literal -1/144 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 s (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) #s(literal 1/144 binary32))
(*.f32 (/.f32 #s(literal 1/144 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)))

eval141.0ms (1.1%)

Memory: 13.4MiB live, 401.3MiB allocated
Compiler: Compiled 55 721 to 2 474 computations (95.6% saved)

prune171.0ms (1.3%)

Memory

-28.7MiB live, 412.6MiB allocated

Pruning

47 alts after pruning (45 fresh and 2 done)

	Pruned	Kept	Total
New	1 406	38	1 444
Fresh	13	7	20
Picked	3	2	5
Done	0	0	0
Total	1 422	47	1 469

Accuracy

99.9%

Counts

1 469 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (pow.f32 (E.f32) (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	8.3%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
▶	9.9%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	9.9%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 r r) s) #s(literal -1/18 binary32) (.f32 r #s(literal 1/3 binary32))) s)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	9.0%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) #s(literal 1 binary32))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	9.9%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (PI.f32) r))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
▶	99.5%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
	98.7%	(/.f32 (.f32 (fma.f32 r (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 r (exp.f32 (/.f32 r (neg.f32 s))))) #s(literal 1/8 binary32)) (.f32 (.f32 r r) (.f32 s (PI.f32))))
	99.5%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))
	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r))
	8.3%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.0%	(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
	7.0%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (PI.f32))) #s(literal 1/48 binary32) (.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
	7.7%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
	99.5%	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))
	99.6%	(.f32 (/.f32 #s(literal 3/4 binary32) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	99.0%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	98.2%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
▶	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	99.1%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	8.9%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	8.3%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	9.9%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	9.9%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 r r) s) #s(literal -1/18 binary32) (.f32 r #s(literal 1/3 binary32))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	9.7%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (.f32 r (/.f32 (.f32 r r) s)) (.f32 #s(literal 1/18 binary32) (.f32 r r))) (neg.f32 s))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	9.0%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	8.1%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32)) r)))
▶	7.5%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r)))
▶	8.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
	9.3%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (fma.f32 (neg.f32 r) (/.f32 #s(literal 5/9 binary32) s) #s(literal 4/3 binary32)) s))))
	8.9%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (-.f32 #s(literal 4/3 binary32) (/.f32 (fma.f32 r #s(literal 5/9 binary32) (/.f32 (.f32 (.f32 r r) #s(literal -14/81 binary32)) s)) s)) s))))
	7.4%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (+.f32 (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal -4/3 binary32) s))))
	9.3%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (+.f32 (fma.f32 r (/.f32 #s(literal 5/9 binary32) (*.f32 s s)) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal -4/3 binary32) s))))
	8.1%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (+.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 #s(literal -4/3 binary32) s))))
	7.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
	7.9%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))) r))
	8.1%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
	99.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))))) r))
✓	8.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	9.3%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 (fma.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (.f32 s s))))
	8.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
	99.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
	99.6%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))

Compiler

Compiled 2 669 to 1 734 computations (35% saved)

simplify470.0ms (3.6%)

Memory

25.6MiB live, 572.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))))
✓	cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))
✓	cost-diff	192	(/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))) s)
✓	cost-diff	192	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
✓	cost-diff	0	(/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))
✓	cost-diff	64	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
✓	cost-diff	160	(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
✓	cost-diff	5472	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
✓	cost-diff	0	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
✓	cost-diff	160	(fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))
✓	cost-diff	320	(fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 s (PI.f32))
✓	cost-diff	0	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 s (PI.f32))
✓	cost-diff	0	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	cost-diff	544	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))

Rules

17 624×	`lower-fma.f64`
17 612×	`lower-fma.f32`
4 896×	`lower-*.f64`
4 870×	`lower-*.f32`
2 668×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	566
0	124	547
1	235	539
2	602	532
3	1421	530
4	3198	530
5	4392	528
6	4948	528
7	5104	528
8	5283	528
9	5300	528
10	5722	528
11	7459	528
12	7714	528
13	7714	528
0	8293	518

Stop Event

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

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r)
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 r (/.f32 #s(literal 1/3 binary32) s))
r
(/.f32 #s(literal 1/3 binary32) s)
#s(literal 1/3 binary32)
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))
(/.f32 #s(literal 2 binary32) r)
#s(literal 2 binary32)
r
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r))
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))
r
(fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s))
(fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)))
#s(literal -14/81 binary32)
(/.f32 r (.f32 s (.f32 s s)))
(.f32 s (.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 5/9 binary32) (*.f32 s s))
#s(literal 5/9 binary32)
(/.f32 #s(literal -4/3 binary32) s)
#s(literal -4/3 binary32)
#s(literal 2 binary32)
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))
#s(literal 1/6 binary32)
(.f32 (PI.f32) (.f32 r s))
(PI.f32)
(*.f32 r s)
r
s
(.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))
#s(literal 3/4 binary32)
#s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))
(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s))
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
#s(literal 1/18 binary32)
(*.f32 s s)
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
#s(literal 1 binary32)
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))
#s(literal 1/8 binary32)
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))) s)
(.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))))
#s(literal 1/8 binary32)
(.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))
(/.f32 #s(literal 1 binary32) r)
#s(literal 1 binary32)
r
(+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
s
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(PI.f32)

Outputs
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (PI.f32) r))) (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 #s(literal 1/3 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (neg.f32 s)))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))
(+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 r s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r)
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 r s))) r)
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 r s)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 r (/.f32 #s(literal 1/3 binary32) s))
(*.f32 #s(literal 1/3 binary32) (/.f32 r s))
r
(/.f32 #s(literal 1/3 binary32) s)
#s(literal 1/3 binary32)
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))
(/.f32 #s(literal 2 binary32) r)
#s(literal 2 binary32)
r
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r))
#s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)
(/.f32 (fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal -14/81 binary32) s) #s(literal 5/9 binary32)) #s(literal -4/3 binary32)) #s(literal 2 binary32)) r)
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))
(fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal -14/81 binary32) s) #s(literal 5/9 binary32)) #s(literal -4/3 binary32)) #s(literal 2 binary32))
r
(fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s))
(fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal -14/81 binary32) s) #s(literal 5/9 binary32)) (/.f32 #s(literal -4/3 binary32) s))
(fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)))
(fma.f32 r (/.f32 #s(literal -14/81 binary32) (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)))
#s(literal -14/81 binary32)
(/.f32 r (.f32 s (.f32 s s)))
(.f32 s (.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 5/9 binary32) (*.f32 s s))
#s(literal 5/9 binary32)
(/.f32 #s(literal -4/3 binary32) s)
#s(literal -4/3 binary32)
#s(literal 2 binary32)
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))
(/.f32 #s(literal 1/6 binary32) (.f32 s (.f32 (PI.f32) r)))
#s(literal 1/6 binary32)
(.f32 (PI.f32) (.f32 r s))
(.f32 s (.f32 (PI.f32) r))
(PI.f32)
(*.f32 r s)
(*.f32 s r)
r
s
(.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))
(.f32 #s(approx (exp (/ r ( s -3))) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) #s(literal 1 binary32))) #s(literal 3/4 binary32))
#s(literal 3/4 binary32)
#s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))
#s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(fma.f32 (/.f32 r s) (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) #s(literal 1 binary32))
(fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s))
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
#s(literal 1/18 binary32)
(*.f32 s s)
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
#s(literal 1 binary32)
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s (*.f32 (PI.f32) r)) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (PI.f32) r)))
#s(literal 1/8 binary32)
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)))) (.f32 s (.f32 (PI.f32) r)))
(/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))) s)
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 s r))
(.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))))
(.f32 #s(literal 1/8 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) r))
#s(literal 1/8 binary32)
(.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))
(/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) r)
(/.f32 #s(literal 1 binary32) r)
#s(literal 1 binary32)
r
(+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))
(+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
s
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(PI.f32)

localize263.0ms (2%)

Memory

25.8MiB live, 371.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(exp.f32 (/.f32 r (neg.f32 s)))
✓	accuracy	99.7%	(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
✓	accuracy	99.3%	(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
✓	accuracy	99.1%	(/.f32 #s(literal -1/3 binary32) s)
✓	accuracy	98.4%	(fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s))
✓	accuracy	98.4%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
✓	accuracy	98.4%	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
✓	accuracy	97.0%	(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
✓	accuracy	98.9%	(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)
✓	accuracy	98.9%	(/.f32 #s(literal 5/9 binary32) (*.f32 s s))
✓	accuracy	98.8%	(fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))
✓	accuracy	52.6%	(fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.9%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
✓	accuracy	99.1%	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	accuracy	99.0%	(*.f32 s (PI.f32))
✓	accuracy	99.3%	(*.f32 r (/.f32 #s(literal 1/3 binary32) s))
✓	accuracy	99.1%	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	accuracy	99.1%	(/.f32 #s(literal 1/3 binary32) s)
✓	accuracy	99.0%	(*.f32 s (PI.f32))

Samples

161.0ms

256×

valid

Compiler

Compiled 581 to 72 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-mult: 35.0ms (26.7% of total)

ival-div: 29.0ms (22.2% of total)

ival-pow: 26.0ms (19.9% of total)

const: 20.0ms (15.3% of total)

ival-add: 9.0ms (6.9% of total)

ival-exp: 8.0ms (6.1% of total)

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

exact: 1.0ms (0.8% of total)

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

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

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

series54.0ms (0.4%)

Memory

-31.7MiB live, 63.6MiB allocated

Counts

26 → 540

Calls

Call 1

Inputs
#<alt (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))>
#<alt (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))>
#<alt (*.f32 s (PI.f32))>
#<alt (PI.f32)>
#<alt (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))>
#<alt (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s))>
#<alt (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))>
#<alt (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))>
#<alt (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))>
#<alt (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))>
#<alt (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))>
#<alt (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))>
#<alt (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))>
#<alt (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))) s)>
#<alt (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))>
#<alt (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))))>
#<alt (/.f32 #s(literal 1/3 binary32) s)>
#<alt (*.f32 r (/.f32 #s(literal 1/3 binary32) s))>
#<alt (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)))>
#<alt (/.f32 #s(literal 5/9 binary32) (*.f32 s s))>
#<alt (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)>
#<alt (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s))>
#<alt (/.f32 #s(literal -1/3 binary32) s)>
#<alt (*.f32 r (/.f32 #s(literal -1/3 binary32) s))>
#<alt (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))>
#<alt (exp.f32 (/.f32 r (neg.f32 s)))>

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

Calls

135 calls:

Time	Variable		Point	Expression
14.0ms	r	@	0	(+ (* -14/81 (/ r (* s (* s s)))) (/ 5/9 (* s s)))
1.0ms	s	@	inf	(+ (* r (+ (* r (+ (* -14/81 (/ r (* s (* s s)))) (/ 5/9 (* s s)))) (/ -4/3 s))) 2)
1.0ms	r	@	-inf	(/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI))
1.0ms	r	@	inf	(/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI))
1.0ms	s	@	0	(/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI))

simplify376.0ms (2.9%)

Memory

35.0MiB live, 571.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 464×	`lower-fma.f64`
12 464×	`lower-fma.f32`
5 778×	`lower-*.f64`
5 778×	`lower-*.f32`
3 464×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	661	7113
1	1922	6876
2	5305	6782
0	8468	6577

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

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

Outputs
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) r))) (*.f32 s (PI.f32)))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))))
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 (.f32 r r) (PI.f32)) (/.f32 #s(literal -14/81 binary32) (.f32 s (.f32 s s))) (/.f32 (/.f32 (.f32 r #s(literal 5/9 binary32)) (PI.f32)) (.f32 s s))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 s (.f32 r (PI.f32)))))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(neg.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -5/72 binary32) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal -1/4 binary32) (.f32 s (*.f32 r (PI.f32))))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 r (.f32 r #s(literal 14/81 binary32))) (PI.f32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 s (.f32 r (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 s (.f32 r (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 s (.f32 r (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 s (.f32 r (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 s (.f32 r (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 s (.f32 r (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 s (.f32 r (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 s (.f32 r (PI.f32))))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) r))) (*.f32 s (PI.f32)))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))))
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 (.f32 r r) (PI.f32)) (/.f32 #s(literal -14/81 binary32) (.f32 s (.f32 s s))) (/.f32 (/.f32 (.f32 r #s(literal 5/9 binary32)) (PI.f32)) (.f32 s s))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 s (.f32 r (PI.f32)))))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(neg.f32 (+.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -5/72 binary32) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal -1/4 binary32) (.f32 s (*.f32 r (PI.f32))))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 r (.f32 r #s(literal 14/81 binary32))) (PI.f32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
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(/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)
(* 1/18 (/ r (pow s 2)))
(.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)))
(* r (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(.f32 r (+.f32 (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) (*.f32 r s))))
(* r (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(.f32 r (+.f32 (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) (*.f32 r s))))
(* r (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))))
(.f32 r (+.f32 (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) (*.f32 r s))))
(* 1/18 (/ r (pow s 2)))
(.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)))
(* -1 (* r (- (* 1/3 (/ 1 (* r s))) (* 1/18 (/ 1 (pow s 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 r s)) (/.f32 #s(literal -1/18 binary32) (*.f32 s s))) (neg.f32 r))
(* -1 (* r (- (* 1/3 (/ 1 (* r s))) (* 1/18 (/ 1 (pow s 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 r s)) (/.f32 #s(literal -1/18 binary32) (*.f32 s s))) (neg.f32 r))
(* -1 (* r (- (* 1/3 (/ 1 (* r s))) (* 1/18 (/ 1 (pow s 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 r s)) (/.f32 #s(literal -1/18 binary32) (*.f32 s s))) (neg.f32 r))
(* 1/18 (/ r (pow s 2)))
(.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)))
(/ (+ (* -1/3 s) (* 1/18 r)) (pow s 2))
(/.f32 (fma.f32 s #s(literal -1/3 binary32) (.f32 r #s(literal 1/18 binary32))) (.f32 s s))
(/ (+ (* -1/3 s) (* 1/18 r)) (pow s 2))
(/.f32 (fma.f32 s #s(literal -1/3 binary32) (.f32 r #s(literal 1/18 binary32))) (.f32 s s))
(/ (+ (* -1/3 s) (* 1/18 r)) (pow s 2))
(/.f32 (fma.f32 s #s(literal -1/3 binary32) (.f32 r #s(literal 1/18 binary32))) (.f32 s s))
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ (- (* 1/18 (/ r s)) 1/3) s)
(/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)
(/ (- (* 1/18 (/ r s)) 1/3) s)
(/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)
(/ (- (* 1/18 (/ r s)) 1/3) s)
(/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(* -1 (/ (+ 1/3 (* -1/18 (/ r s))) s))
(/.f32 (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (neg.f32 s))
(* -1 (/ (+ 1/3 (* -1/18 (/ r s))) s))
(/.f32 (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (neg.f32 s))
(* -1 (/ (+ 1/3 (* -1/18 (/ r s))) s))
(/.f32 (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) (neg.f32 s))
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* -1/3 (/ r s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 1 binary32))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(fma.f32 r (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 1 binary32))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s) #s(literal 1 binary32))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
(+.f32 #s(literal 1 binary32) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s) (/.f32 (.f32 #s(literal -1/162 binary32) (.f32 r (.f32 r r))) (.f32 s (*.f32 s s)))))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (.f32 (/.f32 (.f32 r r) s) #s(literal -1/18 binary32))) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (/.f32 (.f32 r (.f32 r r)) s) (.f32 #s(literal 1/18 binary32) (.f32 r r))) (neg.f32 s))) 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 r (fma.f32 r (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 r r) (.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s)))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 r s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 r r) (.f32 s s)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 r (.f32 r r))) (.f32 s (*.f32 s s)))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) s) #s(literal -1/2 binary32) r) s))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r (.f32 r r)) s) (.f32 r (.f32 r #s(literal 1/2 binary32)))) s)) s))

rewrite546.0ms (4.1%)

Memory

-11.1MiB live, 656.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 384×	`lower-*.f64`
4 360×	`lower-*.f32`
3 190×	`lower-/.f64`
3 188×	`lower-pow.f64`
3 186×	`lower-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	336
0	124	329
1	489	303
2	4589	303
0	8820	303

Stop Event

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

Counts

26 → 1 324

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(PI.f32)
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s)))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))) s)
(.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))
(.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))))
(/.f32 #s(literal 1/3 binary32) s)
(*.f32 r (/.f32 #s(literal 1/3 binary32) s))
(fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)))
(/.f32 #s(literal 5/9 binary32) (*.f32 s s))
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)
(fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s))
(/.f32 #s(literal -1/3 binary32) s)
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(exp.f32 (/.f32 r (neg.f32 s)))

Outputs
(neg.f32 (/.f32 (.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal 1/8 binary32) s)) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (/.f32 (.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) #s(literal -1/8 binary32)) s) (PI.f32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))))) #s(literal -1 binary32)))
(+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 (.f32 s (.f32 (PI.f32) r)) #s(literal 8 binary32))) (.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 s (*.f32 (PI.f32) r)))))
(+.f32 (.f32 #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (PI.f32) r)))) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 (.f32 s (.f32 (PI.f32) r)) #s(literal 8 binary32))))
(pow.f32 (.f32 (PI.f32) (/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))) (PI.f32)) #s(literal -1 binary32))
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(.f32 (/.f32 #s(literal 1 binary32) s) (log.f32 (exp.f32 (.f32 r #s(literal -1/3 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal -3 binary32) r) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 r #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) s)) (log.f32 (exp.f32 #s(literal -2 binary32))))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(.f32 (.f32 r #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) s))
(.f32 (fma.f32 (/.f32 #s(literal 1/3 binary32) s) (.f32 r #s(literal 1/2 binary32)) (/.f32 (.f32 r #s(literal 1/3 binary32)) (.f32 #s(literal 2 binary32) s))) #s(literal -1 binary32))
(.f32 (.f32 #s(literal 2 binary32) (/.f32 (.f32 r #s(literal 1/3 binary32)) (.f32 #s(literal 2 binary32) s))) #s(literal -1 binary32))
(.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/3 binary32) s)) r)
(log.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1/3 binary32) s) (.f32 r #s(literal 1/2 binary32)) (/.f32 (.f32 r #s(literal 1/3 binary32)) (.f32 #s(literal 2 binary32) s)))))
(exp.f32 (.f32 #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 r #s(literal 1/3 binary32)) (.f32 #s(literal 2 binary32) s)))))
(exp.f32 (.f32 (log.f32 (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 r #s(literal 1/3 binary32)) (.f32 #s(literal 2 binary32) s))))) #s(literal 2 binary32)))
(exp.f32 (.f32 (log.f32 (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/3 binary32) s)))) r))
(exp.f32 (.f32 (log.f32 (exp.f32 (.f32 (neg.f32 r) #s(literal 1/3 binary32)))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (.f32 (log.f32 (exp.f32 (.f32 r #s(literal -1/3 binary32)))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (.f32 (log.f32 (exp.f32 #s(literal -2 binary32))) (/.f32 (.f32 r #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) s))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) s))) r))
(exp.f32 (.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 r #s(literal 1/3 binary32)) (.f32 #s(literal 2 binary32) s))) #s(literal 2 binary32)))
(exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 r #s(literal 1/3 binary32)) (.f32 #s(literal 2 binary32) s)) (.f32 #s(literal -1 binary32) (/.f32 (.f32 r #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) s)))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 #s(literal 1/3 binary32) s) (.f32 r #s(literal 1/2 binary32)) (/.f32 (.f32 r #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (/.f32 (.f32 r #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) s))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 (/.f32 (.f32 r #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) s)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/3 binary32))
(pow.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s))
(pow.f32 (exp.f32 (neg.f32 r)) (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) s) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1/3 binary32) s) #s(literal 2 binary32))))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))
(pow.f32 (exp.f32 r) (+.f32 (/.f32 (/.f32 #s(literal -1/3 binary32) s) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal -1/3 binary32) s) #s(literal 2 binary32))))
(pow.f32 (.f32 #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 r #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) s)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/3 binary32) s))) r)
(pow.f32 (exp.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (*.f32 r #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (+.f32 r r)) (/.f32 (/.f32 #s(literal -1/3 binary32) s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (.f32 r #s(literal 1/3 binary32)) (.f32 #s(literal 2 binary32) s)))
(pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(pow.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) s)) r)
(pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32))
(pow.f32 (exp.f32 (*.f32 r (/.f32 (/.f32 #s(literal -1/3 binary32) s) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1/3 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) r))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 r)) #s(literal -1/3 binary32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 r) #s(literal 1/3 binary32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (*.f32 r #s(literal -1/3 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) r) (/.f32 (/.f32 #s(literal 1/3 binary32) s) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 1/3 binary32) s)) (*.f32 r #s(literal 1/2 binary32)))
(pow.f32 (*.f32 (exp.f32 (neg.f32 r)) (exp.f32 (neg.f32 r))) (/.f32 (/.f32 #s(literal 1/3 binary32) s) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1/3 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) r))
(pow.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))) #s(literal -1 binary32))
#s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 s #s(literal -3 binary32)))))
(cbrt.f32 (exp.f32 (neg.f32 (/.f32 r s))))
(.f32 (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 r #s(literal 1/3 binary32)) (.f32 #s(literal 2 binary32) s)))) (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 r #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) s)))))
(.f32 (exp.f32 (.f32 r (/.f32 (/.f32 #s(literal -1/3 binary32) s) #s(literal 2 binary32)))) (exp.f32 (*.f32 r (/.f32 (/.f32 #s(literal -1/3 binary32) s) #s(literal 2 binary32)))))
(.f32 (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (.f32 r #s(literal 1/2 binary32)))) (/.f32 #s(literal 1/3 binary32) s)) (pow.f32 (exp.f32 (.f32 #s(literal -1 binary32) (*.f32 r #s(literal 1/2 binary32)))) (/.f32 #s(literal 1/3 binary32) s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r s))
(pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (E.f32) (neg.f32 (/.f32 r s)))
(pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) r)
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r s)))

eval177.0ms (1.3%)

Memory: 39.3MiB live, 350.8MiB allocated
Compiler: Compiled 59 257 to 3 325 computations (94.4% saved)

prune376.0ms (2.9%)

Memory

-36.7MiB live, 451.0MiB allocated

Pruning

83 alts after pruning (77 fresh and 6 done)

	Pruned	Kept	Total
New	1 813	46	1 859
Fresh	9	31	40
Picked	1	4	5
Done	0	2	2
Total	1 823	83	1 906

Accuracy

99.9%

Counts

1 906 → 83

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (pow.f32 (E.f32) (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	8.3%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	7.4%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 #s(approx (exp (/ r (neg s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	7.4%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 #s(approx (exp (/ r (neg s))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 r (.f32 r r)) s) (.f32 r (.f32 r #s(literal 1/2 binary32)))) s)) s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	7.4%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) #s(approx ( (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal -1/16 binary32)) (PI.f32))) s)) s) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)))
	7.7%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) #s(approx ( (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))))
	9.9%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 r r) s) #s(literal -1/18 binary32) (.f32 r #s(literal 1/3 binary32))) s)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	9.0%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) #s(literal 1 binary32))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	9.9%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (PI.f32) r))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
	8.6%	(/.f32 (/.f32 (.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal 1/8 binary32) s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
	9.9%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (fma.f32 r (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))) s) (PI.f32))
	97.7%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (pow.f32 (pow.f32 (exp.f32 r) #s(literal 1/3 binary32)) (/.f32 #s(literal -1 binary32) s)) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
	98.9%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
✓	99.5%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
	99.0%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
▶	8.3%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
	9.9%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
	9.0%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp (* r (/ -1/3 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
	8.6%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (PI.f32)) s)
	8.9%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx ( (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s))))) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (-.f32 #s(literal 4/3 binary32) (/.f32 (fma.f32 r #s(literal 5/9 binary32) (.f32 #s(literal -14/81 binary32) (/.f32 (.f32 r r) s))) s)) s)))) s) (PI.f32))
	9.3%	(/.f32 (/.f32 #s(approx (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) (/.f32 (fma.f32 r (/.f32 (fma.f32 (/.f32 r s) #s(literal 5/72 binary32) #s(literal -1/6 binary32)) s) #s(literal 1/4 binary32)) r)) s) (PI.f32))
	8.6%	(/.f32 (/.f32 #s(approx (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
	9.3%	(/.f32 (/.f32 #s(approx (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (fma.f32 (/.f32 r s) #s(literal -5/72 binary32) #s(literal 1/6 binary32)) s))) s) (PI.f32))
▶	8.6%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))))
	98.7%	(/.f32 (.f32 (fma.f32 r (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 r (exp.f32 (/.f32 r (neg.f32 s))))) #s(literal 1/8 binary32)) (.f32 (.f32 r r) (.f32 s (PI.f32))))
	10.0%	(/.f32 (.f32 (fma.f32 r (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))) #s(literal 1/8 binary32)) (.f32 (.f32 r r) (.f32 s (PI.f32))))
	99.5%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))
	8.6%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) s) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (PI.f32))
	8.6%	(/.f32 (.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (/.f32 #s(literal 1 binary32) (PI.f32))) s)
	8.6%	(/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (*.f32 s (PI.f32)))
	8.6%	(/.f32 #s(approx (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))) (PI.f32))
	8.0%	(/.f32 #s(approx (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1/4 binary32) (.f32 r s)))) (PI.f32))
	8.6%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))) (PI.f32)))
	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r))
	8.3%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))) s)))
	9.0%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))))
	7.7%	(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
	99.5%	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))
	8.6%	(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
	7.5%	(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
	8.6%	(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
	8.6%	(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
	8.6%	(.f32 (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (sqrt.f32 (PI.f32))))
	8.6%	(.f32 (/.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) (PI.f32)) (/.f32 #s(literal 1/8 binary32) s))
	8.6%	(.f32 (/.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))
	8.6%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) s))) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
	8.6%	(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal 1/8 binary32) s)))
	8.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
	99.3%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	98.2%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	8.9%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	8.3%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	9.9%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	9.9%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 r r) s) #s(literal -1/18 binary32) (.f32 r #s(literal 1/3 binary32))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	9.7%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (.f32 r (/.f32 (.f32 r r) s)) (.f32 #s(literal 1/18 binary32) (.f32 r r))) (neg.f32 s))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	9.0%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓	7.5%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r)))
✓	8.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
	9.3%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (fma.f32 (neg.f32 r) (/.f32 #s(literal 5/9 binary32) s) #s(literal 4/3 binary32)) s))))
	8.9%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (-.f32 #s(literal 4/3 binary32) (/.f32 (fma.f32 r #s(literal 5/9 binary32) (/.f32 (.f32 (.f32 r r) #s(literal -14/81 binary32)) s)) s)) s))))
	7.4%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (+.f32 (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal -4/3 binary32) s))))
	9.3%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (+.f32 (fma.f32 r (/.f32 #s(literal 5/9 binary32) (*.f32 s s)) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal -4/3 binary32) s))))
	8.1%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (+.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 #s(literal -4/3 binary32) s))))
	8.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) s) (sqrt.f32 (PI.f32))))
	9.9%	(.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 s (PI.f32))))
	8.6%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) s)) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
	8.6%	(.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 (PI.f32) (/.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) s)) #s(literal -1 binary32)))
	7.9%	#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))) r))
	99.5%	#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 s (.f32 r (PI.f32)))))
▶	8.6%	#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32)))))
	8.0%	#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 s (.f32 r (PI.f32))))))
	7.5%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
▶	99.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))))) r))
✓	8.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	8.0%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
	99.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
▶	7.4%	#s(approx (+ (* (/ 1/6 (* (PI) (* r s))) (* 3/4 (exp (/ r (* s -3))))) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s))))) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -7/324 binary32) (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s))
	9.3%	#s(approx (+ (* (/ 1/6 (* (PI) (* r s))) (* 3/4 (exp (/ r (* s -3))))) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s))))) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
	99.6%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))

Compiler

Compiled 3 968 to 2 698 computations (32% saved)

simplify278.0ms (2.1%)

Memory

47.0MiB live, 467.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) s)
✓	cost-diff	160	(fma.f32 r (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))
✓	cost-diff	544	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
✓	cost-diff	5824	(.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))
✓	cost-diff	0	(*.f32 r r)
✓	cost-diff	0	(/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s))))
✓	cost-diff	0	(/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -7/324 binary32) (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s)
✓	cost-diff	576	(fma.f32 (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -7/324 binary32) (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))
✓	cost-diff	0	(/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (PI.f32))
✓	cost-diff	896	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 r (PI.f32))
✓	cost-diff	0	(.f32 s (.f32 r (PI.f32)))
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32))))
✓	cost-diff	0	(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))
✓	cost-diff	512	(.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32)))))
✓	cost-diff	1760	(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
✓	cost-diff	6016	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))))) r)

Rules

7 562×	`lower-fma.f64`
7 552×	`lower-fma.f32`
4 764×	`lower-*.f64`
4 738×	`lower-*.f32`
2 054×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	676
0	171	699
1	353	667
2	925	605
3	2753	597
4	3567	597
5	3988	597
6	5433	597
7	6057	597
8	7084	597
0	8006	595

Stop Event

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

Calls

Call 1

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

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

localize412.0ms (3.1%)

Memory

-40.3MiB live, 571.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s))
✓	accuracy	99.7%	(/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)
✓	accuracy	99.4%	(/.f32 r (.f32 s (.f32 s s)))
✓	accuracy	32.6%	(PI.f32)
✓	accuracy	99.6%	(fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
✓	accuracy	99.6%	(.f32 (PI.f32) (.f32 s (*.f32 s s)))
✓	accuracy	99.4%	(/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s))))
✓	accuracy	32.6%	(PI.f32)
✓	accuracy	100.0%	(.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
✓	accuracy	99.9%	(/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))))
✓	accuracy	99.9%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))))
✓	accuracy	32.6%	(PI.f32)
✓	accuracy	99.8%	(.f32 s (.f32 r (PI.f32)))
✓	accuracy	99.7%	(/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32))))
✓	accuracy	99.7%	(*.f32 r (PI.f32))
✓	accuracy	32.6%	(PI.f32)
✓	accuracy	99.7%	(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
✓	accuracy	99.7%	(*.f32 s (PI.f32))
✓	accuracy	99.7%	(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
✓	accuracy	32.6%	(PI.f32)

Samples

209.0ms	184×	0	exit
59.0ms	72×	0	valid

Compiler

Compiled 691 to 105 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-exp: 69.0ms (29% of total)

ival-div: 63.0ms (26.5% of total)

ival-mult: 60.0ms (25.3% of total)

ival-add: 21.0ms (8.8% of total)

const: 20.0ms (8.4% of total)

ival-neg: 2.0ms (0.8% of total)

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

exact: 1.0ms (0.4% of total)

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

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

series50.0ms (0.4%)

Memory

32.3MiB live, 106.6MiB allocated

Counts

27 → 552

Calls

Call 1

Inputs
#<alt (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))))) r)>
#<alt (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))>
#<alt (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32)))))>
#<alt (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))>
#<alt (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32))))>
#<alt (.f32 s (.f32 r (PI.f32)))>
#<alt (*.f32 r (PI.f32))>
#<alt (PI.f32)>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))))>
#<alt (/.f32 #s(literal 1 binary32) (PI.f32))>
#<alt (/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))))>
#<alt (fma.f32 (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -7/324 binary32) (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))>
#<alt (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s)))) #s(literal -7/324 binary32) (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s)>
#<alt (/.f32 (.f32 r r) (.f32 (PI.f32) (.f32 s (.f32 s s))))>
#<alt (*.f32 r r)>
#<alt (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))>
#<alt (/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))>
#<alt (fma.f32 r (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))>
#<alt (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) s)>
#<alt (*.f32 (/.f32 r s) #s(literal -1/3 binary32))>
#<alt (*.f32 s (PI.f32))>
#<alt (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))>
#<alt (.f32 (PI.f32) (.f32 s (*.f32 s s)))>
#<alt (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))>
#<alt (/.f32 r (.f32 s (.f32 s s)))>
#<alt (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)>
#<alt (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s))>

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

Calls

138 calls:

Time	Variable		Point	Expression
12.0ms	r	@	inf	(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r)
2.0ms	r	@	0	(/ (+ (* r (/ 1/18 s)) -1/3) s)
2.0ms	s	@	-inf	(/ 1/4 (* s (* r (PI))))
1.0ms	s	@	0	(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r)
1.0ms	r	@	-inf	(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r)

simplify554.0ms (4.2%)

Memory

-14.0MiB live, 712.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 178×	`lower-fma.f64`
11 178×	`lower-fma.f32`
6 954×	`lower-*.f64`
6 954×	`lower-*.f32`
3 354×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	846	7778
1	2548	7545
2	7531	7523
0	8437	7307

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

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

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

rewrite322.0ms (2.4%)

Memory

11.9MiB live, 555.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 226×	`lower-*.f64`
5 200×	`lower-*.f32`
3 210×	`lower-fma.f64`
3 200×	`lower-fma.f32`
2 956×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	378
0	128	366
1	535	344
2	5009	344
0	8168	344

Stop Event

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

Counts

27 → 917

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (*.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32)))))) (neg.f32 r)))
(neg.f32 (/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (*.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))))) #s(literal -1/8 binary32)) r))
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(/.f32 (neg.f32 (fma.f32 r (.f32 (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (/.f32 (.f32 r (.f32 r #s(literal -1/162 binary32))) (.f32 s (.f32 s s)))) (neg.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s s))))) (neg.f32 (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (*.f32 s s))) (neg.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)))))
(/.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s s)) (.f32 (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (.f32 (.f32 r r) (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s)))))) (-.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s) (/.f32 (.f32 r (.f32 r #s(literal -1/162 binary32))) (.f32 s (*.f32 s s)))))
(.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s) (/.f32 (.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s s)) (.f32 (/.f32 (.f32 r (.f32 r #s(literal -1/162 binary32))) (.f32 s (.f32 s s))) (.f32 (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (.f32 (.f32 r r) (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s) (-.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s) (/.f32 (.f32 r (.f32 r #s(literal -1/162 binary32))) (.f32 s (.f32 s s)))) (.f32 (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (.f32 (.f32 r r) (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))))))))
(.f32 (fma.f32 r (.f32 (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (/.f32 (.f32 r (.f32 r #s(literal -1/162 binary32))) (.f32 s (.f32 s s)))) (neg.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s s)))) (/.f32 #s(literal 1 binary32) (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (neg.f32 (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)))))

eval63.0ms (0.5%)

Memory: -5.7MiB live, 160.8MiB allocated
Compiler: Compiled 14 672 to 1 516 computations (89.7% saved)

prune148.0ms (1.1%)

Memory

1.4MiB live, 239.5MiB allocated

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	573	11	584
Fresh	51	21	72
Picked	3	2	5
Done	0	6	6
Total	627	40	667

Accuracy

99.9%

Counts

667 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (pow.f32 (E.f32) (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	8.3%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))))) (.f32 r r))) s) (PI.f32))
	97.7%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (pow.f32 (pow.f32 (exp.f32 r) #s(literal 1/3 binary32)) (/.f32 #s(literal -1 binary32) s)) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
	98.9%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
✓	99.5%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
	99.0%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
	8.6%	(/.f32 (/.f32 #s(approx (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
	19.0%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 (fma.f32 (.f32 r r) (/.f32 #s(literal -8/3 binary32) s) (*.f32 r #s(literal -4 binary32))) (neg.f32 s))))
	18.6%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 s (fma.f32 (/.f32 (.f32 r r) s) #s(literal 8/3 binary32) (*.f32 r #s(literal 4 binary32))))))
	28.9%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 s (fma.f32 r #s(literal 4 binary32) (-.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 r (.f32 r (.f32 r (.f32 r #s(literal -14/81 binary32))))) (fma.f32 r (.f32 (fma.f32 (.f32 r (.f32 r r)) #s(literal -16/9 binary32) (.f32 #s(literal 2 binary32) (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)))) #s(literal 2/3 binary32)) (.f32 (.f32 r (.f32 r r)) (.f32 (.f32 r #s(literal 5/9 binary32)) #s(literal 4/3 binary32))))) (neg.f32 (.f32 s (.f32 s s)))) (fma.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) (/.f32 #s(literal 2 binary32) (.f32 s s)) (fma.f32 (.f32 r r) (/.f32 #s(literal -8/3 binary32) s) (/.f32 (.f32 r (.f32 (.f32 r r) #s(literal -16/9 binary32))) (.f32 s s)))))))))
	66.9%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s s)) #s(literal 4/81 binary32) (/.f32 #s(literal 2/3 binary32) s)) #s(literal 8/3 binary32)) (*.f32 s #s(literal 4 binary32))))))
	24.4%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal 2/3 binary32) s) #s(literal 8/3 binary32)) (.f32 s #s(literal 4 binary32))))))
	11.7%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r #s(literal 8/3 binary32) (.f32 s #s(literal 4 binary32))))))
	8.6%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (.f32 s #s(literal 4 binary32)))))
	62.3%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (neg.f32 (.f32 s (-.f32 (.f32 r #s(literal -4 binary32)) (/.f32 (fma.f32 r (.f32 r #s(literal 8/3 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2/3 binary32) (.f32 (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32))) (/.f32 r s)) (fma.f32 #s(literal 4/3 binary32) (/.f32 (.f32 r (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32))) s) (.f32 (.f32 #s(literal -2 binary32) (.f32 r r)) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s)))) (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (*.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32)))) (neg.f32 s))) s))))))
	98.7%	(/.f32 (.f32 (fma.f32 r (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 r (exp.f32 (/.f32 r (neg.f32 s))))) #s(literal 1/8 binary32)) (.f32 (.f32 r r) (.f32 s (PI.f32))))
	99.5%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))
	8.3%	(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (*.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32)))) s)) (PI.f32))
	8.6%	(/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (*.f32 s (PI.f32)))
	8.6%	(/.f32 #s(approx (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))) (PI.f32))
	8.0%	(/.f32 #s(approx (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1/4 binary32) (.f32 r s)))) (PI.f32))
	99.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r))
	99.5%	(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))
	99.3%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	98.2%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓	7.5%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -14/81 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/9 binary32) (*.f32 s s))) (/.f32 #s(literal -4/3 binary32) s)) #s(literal 2 binary32)) r)))
	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r)))
✓	8.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
	9.3%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (fma.f32 (neg.f32 r) (/.f32 #s(literal 5/9 binary32) s) #s(literal 4/3 binary32)) s))))
	8.1%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (+.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 #s(literal -4/3 binary32) s))))
	8.3%	(.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32)))) (.f32 s (PI.f32))))
	99.5%	#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 s (.f32 r (PI.f32)))))
✓	8.6%	#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32)))))
✓	99.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))))) r))
✓	8.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	99.6%	#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
	99.6%	#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))

Compiler

Compiled 4 153 to 1 337 computations (67.8% saved)

regimes104.0ms (0.8%)

Memory

25.9MiB live, 142.5MiB allocated

Counts

121 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32)))))
(/.f32 #s(approx (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (.f32 s #s(literal 4 binary32)))))
(/.f32 (/.f32 #s(approx (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
(.f32 (/.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))
(.f32 (/.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) (PI.f32)) (/.f32 #s(literal 1/8 binary32) s))
(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) s) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r #s(literal 8/3 binary32) (.f32 s #s(literal 4 binary32))))))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (PI.f32)) s)
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) s)) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal 1/8 binary32) s)))
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(/.f32 (.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (/.f32 #s(literal 1 binary32) (PI.f32))) s)
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(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 r r) s) #s(literal -1/18 binary32) (.f32 r #s(literal 1/3 binary32))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (fma.f32 r (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))) s) (PI.f32))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 r r) s) #s(literal -1/18 binary32) (.f32 r #s(literal 1/3 binary32))) s)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32)))) (.f32 s (PI.f32))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (*.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32)))) s)) (PI.f32))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (PI.f32) r))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (.f32 r (/.f32 (.f32 r r) s)) (.f32 #s(literal 1/18 binary32) (.f32 r r))) (neg.f32 s))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))))) (.f32 r r))) s) (PI.f32))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (neg.f32 (.f32 s (-.f32 (.f32 r #s(literal -4 binary32)) (/.f32 (fma.f32 r (.f32 r #s(literal 8/3 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2/3 binary32) (.f32 (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32))) (/.f32 r s)) (fma.f32 #s(literal 4/3 binary32) (/.f32 (.f32 r (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32))) s) (.f32 (.f32 #s(literal -2 binary32) (.f32 r r)) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s)))) (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (*.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32)))) (neg.f32 s))) s))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 s (fma.f32 r #s(literal 4 binary32) (-.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 r (.f32 r (.f32 r (.f32 r #s(literal -14/81 binary32))))) (fma.f32 r (.f32 (fma.f32 (.f32 r (.f32 r r)) #s(literal -16/9 binary32) (.f32 #s(literal 2 binary32) (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)))) #s(literal 2/3 binary32)) (.f32 (.f32 r (.f32 r r)) (.f32 (.f32 r #s(literal 5/9 binary32)) #s(literal 4/3 binary32))))) (neg.f32 (.f32 s (.f32 s s)))) (fma.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) (/.f32 #s(literal 2 binary32) (.f32 s s)) (fma.f32 (.f32 r r) (/.f32 #s(literal -8/3 binary32) s) (/.f32 (.f32 r (.f32 (.f32 r r) #s(literal -16/9 binary32))) (.f32 s s)))))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 s (.f32 r (PI.f32)))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 (.f32 (fma.f32 r (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 r (exp.f32 (/.f32 r (neg.f32 s))))) #s(literal 1/8 binary32)) (.f32 (.f32 r r) (.f32 s (PI.f32))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))))) r))
(.f32 (/.f32 #s(literal 3/4 binary32) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (+.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (pow.f32 (E.f32) (.f32 r (/.f32 #s(literal -1/3 binary32) s)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) (.f32 (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))) #s(literal 4/3 binary32))))
(.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r)) (*.f32 s #s(literal 6 binary32))) (PI.f32)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (cbrt.f32 (exp.f32 (neg.f32 (/.f32 r s)))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1/3 binary32) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (pow.f32 (pow.f32 (exp.f32 r) #s(literal 1/3 binary32)) (/.f32 #s(literal -1 binary32) s)) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))

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

Calls

3 calls:

43.0ms

30.0ms

26.0ms

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

Results

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes124.0ms (0.9%)

Memory

-55.4MiB live, 126.9MiB allocated

Counts

97 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
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(.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 s (PI.f32))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (PI.f32))) #s(literal 1/48 binary32) (.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 (.f32 (fma.f32 r (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))) #s(literal 1/8 binary32)) (.f32 (.f32 r r) (.f32 s (PI.f32))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (.f32 s (PI.f32)))))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 r r) s) #s(literal -1/18 binary32) (.f32 r #s(literal 1/3 binary32))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (fma.f32 r (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))) s) (PI.f32))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 r r) s) #s(literal -1/18 binary32) (.f32 r #s(literal 1/3 binary32))) s)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32)))) (.f32 s (PI.f32))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (*.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32)))) s)) (PI.f32))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (PI.f32) r))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (.f32 r (/.f32 (.f32 r r) s)) (.f32 #s(literal 1/18 binary32) (.f32 r r))) (neg.f32 s))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))))) (.f32 r r))) s) (PI.f32))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (neg.f32 (.f32 s (-.f32 (.f32 r #s(literal -4 binary32)) (/.f32 (fma.f32 r (.f32 r #s(literal 8/3 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2/3 binary32) (.f32 (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32))) (/.f32 r s)) (fma.f32 #s(literal 4/3 binary32) (/.f32 (.f32 r (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32))) s) (.f32 (.f32 #s(literal -2 binary32) (.f32 r r)) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s)))) (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (*.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32)))) (neg.f32 s))) s))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 s (fma.f32 r #s(literal 4 binary32) (-.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 r (.f32 r (.f32 r (.f32 r #s(literal -14/81 binary32))))) (fma.f32 r (.f32 (fma.f32 (.f32 r (.f32 r r)) #s(literal -16/9 binary32) (.f32 #s(literal 2 binary32) (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)))) #s(literal 2/3 binary32)) (.f32 (.f32 r (.f32 r r)) (.f32 (.f32 r #s(literal 5/9 binary32)) #s(literal 4/3 binary32))))) (neg.f32 (.f32 s (.f32 s s)))) (fma.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) (/.f32 #s(literal 2 binary32) (.f32 s s)) (fma.f32 (.f32 r r) (/.f32 #s(literal -8/3 binary32) s) (/.f32 (.f32 r (.f32 (.f32 r r) #s(literal -16/9 binary32))) (.f32 s s)))))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 s (.f32 r (PI.f32)))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (exp.f32 (/.f32 r (neg.f32 s))))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 (.f32 (fma.f32 r (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))) (.f32 r (exp.f32 (/.f32 r (neg.f32 s))))) #s(literal 1/8 binary32)) (.f32 (.f32 r r) (.f32 s (PI.f32))))

Outputs

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

Calls

3 calls:

42.0ms

26.0ms

20.0ms

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

Results

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes80.0ms (0.6%)

Memory

22.0MiB live, 177.0MiB allocated

Counts

94 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32)))))
(/.f32 #s(approx (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (.f32 s #s(literal 4 binary32)))))
(/.f32 (/.f32 #s(approx (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
(.f32 (/.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))
(.f32 (/.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) (PI.f32)) (/.f32 #s(literal 1/8 binary32) s))
(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) s) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r #s(literal 8/3 binary32) (.f32 s #s(literal 4 binary32))))))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (PI.f32)) s)
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) s)) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal 1/8 binary32) s)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))) (PI.f32)))
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(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (fma.f32 r (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))) s) (PI.f32))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 r r) s) #s(literal -1/18 binary32) (.f32 r #s(literal 1/3 binary32))) s)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32)))) (.f32 s (PI.f32))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (*.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32)))) s)) (PI.f32))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (PI.f32) r))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (.f32 r (/.f32 (.f32 r r) s)) (.f32 #s(literal 1/18 binary32) (.f32 r r))) (neg.f32 s))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))))) (.f32 r r))) s) (PI.f32))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (neg.f32 (.f32 s (-.f32 (.f32 r #s(literal -4 binary32)) (/.f32 (fma.f32 r (.f32 r #s(literal 8/3 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2/3 binary32) (.f32 (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32))) (/.f32 r s)) (fma.f32 #s(literal 4/3 binary32) (/.f32 (.f32 r (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32))) s) (.f32 (.f32 #s(literal -2 binary32) (.f32 r r)) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s)))) (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (*.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32)))) (neg.f32 s))) s))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 s (fma.f32 r #s(literal 4 binary32) (-.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 r (.f32 r (.f32 r (.f32 r #s(literal -14/81 binary32))))) (fma.f32 r (.f32 (fma.f32 (.f32 r (.f32 r r)) #s(literal -16/9 binary32) (.f32 #s(literal 2 binary32) (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)))) #s(literal 2/3 binary32)) (.f32 (.f32 r (.f32 r r)) (.f32 (.f32 r #s(literal 5/9 binary32)) #s(literal 4/3 binary32))))) (neg.f32 (.f32 s (.f32 s s)))) (fma.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) (/.f32 #s(literal 2 binary32) (.f32 s s)) (fma.f32 (.f32 r r) (/.f32 #s(literal -8/3 binary32) s) (/.f32 (.f32 r (.f32 (.f32 r r) #s(literal -16/9 binary32))) (.f32 s s)))))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 s (.f32 r (PI.f32)))))

Outputs

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

Calls

3 calls:

27.0ms

21.0ms

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

Results

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes81.0ms (0.6%)

Memory

7.3MiB live, 160.0MiB allocated

Counts

92 → 2

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32)))))
(/.f32 #s(approx (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (.f32 s #s(literal 4 binary32)))))
(/.f32 (/.f32 #s(approx (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
(.f32 (/.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))
(.f32 (/.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) (PI.f32)) (/.f32 #s(literal 1/8 binary32) s))
(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) s) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r #s(literal 8/3 binary32) (.f32 s #s(literal 4 binary32))))))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (PI.f32)) s)
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) s)) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal 1/8 binary32) s)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))) (PI.f32)))
(/.f32 (.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (/.f32 #s(literal 1 binary32) (PI.f32))) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 s (.f32 r (PI.f32))))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (+.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 #s(literal -4/3 binary32) s))))
(/.f32 #s(approx (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1/4 binary32) (.f32 r s)))) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32)) r)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) s))) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 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 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 s (fma.f32 (/.f32 (.f32 r r) s) #s(literal 8/3 binary32) (*.f32 r #s(literal 4 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal 2/3 binary32) s) #s(literal 8/3 binary32)) (.f32 s #s(literal 4 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 (fma.f32 (.f32 r r) (/.f32 #s(literal -8/3 binary32) s) (*.f32 r #s(literal -4 binary32))) (neg.f32 s))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 (/.f32 #s(approx (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (fma.f32 (/.f32 r s) #s(literal -5/72 binary32) #s(literal 1/6 binary32)) s))) s) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (fma.f32 (neg.f32 r) (/.f32 #s(literal 5/9 binary32) s) #s(literal 4/3 binary32)) s))))
(/.f32 (/.f32 #s(approx (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) (/.f32 (fma.f32 r (/.f32 (fma.f32 (/.f32 r s) #s(literal 5/72 binary32) #s(literal -1/6 binary32)) s) #s(literal 1/4 binary32)) r)) s) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (+.f32 (fma.f32 r (/.f32 #s(literal 5/9 binary32) (*.f32 s s)) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal -4/3 binary32) s))))
(.f32 (/.f32 #s(literal 1/8 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) s) (sqrt.f32 (PI.f32))))
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(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))))) (.f32 r r))) s) (PI.f32))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (neg.f32 (.f32 s (-.f32 (.f32 r #s(literal -4 binary32)) (/.f32 (fma.f32 r (.f32 r #s(literal 8/3 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2/3 binary32) (.f32 (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32))) (/.f32 r s)) (fma.f32 #s(literal 4/3 binary32) (/.f32 (.f32 r (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32))) s) (.f32 (.f32 #s(literal -2 binary32) (.f32 r r)) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s)))) (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (*.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32)))) (neg.f32 s))) s))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 s (fma.f32 r #s(literal 4 binary32) (-.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 r (.f32 r (.f32 r (.f32 r #s(literal -14/81 binary32))))) (fma.f32 r (.f32 (fma.f32 (.f32 r (.f32 r r)) #s(literal -16/9 binary32) (.f32 #s(literal 2 binary32) (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)))) #s(literal 2/3 binary32)) (.f32 (.f32 r (.f32 r r)) (.f32 (.f32 r #s(literal 5/9 binary32)) #s(literal 4/3 binary32))))) (neg.f32 (.f32 s (.f32 s s)))) (fma.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) (/.f32 #s(literal 2 binary32) (.f32 s s)) (fma.f32 (.f32 r r) (/.f32 #s(literal -8/3 binary32) s) (/.f32 (.f32 r (.f32 (.f32 r r) #s(literal -16/9 binary32))) (.f32 s s)))))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32)))))) s)))

Outputs

(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 4/81 binary32) (/.f32 #s(literal 2/3 binary32) s)) #s(literal 8/3 binary32)) (*.f32 s #s(literal 4 binary32))))))

(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (*.f32 s (fma.f32 r #s(literal 4 binary32) (-.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 r (*.f32 r (*.f32 r (*.f32 r #s(literal -14/81 binary32))))) (fma.f32 r (*.f32 (fma.f32 (*.f32 r (*.f32 r r)) #s(literal -16/9 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 r (*.f32 r r)) #s(literal 5/9 binary32)))) #s(literal 2/3 binary32)) (*.f32 (*.f32 r (*.f32 r r)) (*.f32 (*.f32 r #s(literal 5/9 binary32)) #s(literal 4/3 binary32))))) (neg.f32 (*.f32 s (*.f32 s s)))) (fma.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 5/9 binary32)) (/.f32 #s(literal 2 binary32) (*.f32 s s)) (fma.f32 (*.f32 r r) (/.f32 #s(literal -8/3 binary32) s) (/.f32 (*.f32 r (*.f32 (*.f32 r r) #s(literal -16/9 binary32))) (*.f32 s s)))))))))

Calls

3 calls:

28.0ms

27.0ms

21.0ms

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

Results

Accuracy	Segments	Branch
75.1%	2	`s`
70.7%	2	`r`
66.9%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes45.0ms (0.3%)

Memory

-15.9MiB live, 61.5MiB allocated

Counts

89 → 2

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32)))))
(/.f32 #s(approx (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (.f32 s #s(literal 4 binary32)))))
(/.f32 (/.f32 #s(approx (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
(.f32 (/.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) s) (/.f32 #s(literal 1/8 binary32) (PI.f32)))
(.f32 (/.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) (PI.f32)) (/.f32 #s(literal 1/8 binary32) s))
(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (PI.f32)) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) s) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r #s(literal 8/3 binary32) (.f32 s #s(literal 4 binary32))))))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (PI.f32)) s)
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) s)) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal 1/8 binary32) s)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))) (PI.f32)))
(/.f32 (.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (/.f32 #s(literal 1 binary32) (PI.f32))) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (.f32 s (.f32 r (PI.f32))))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (+.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 #s(literal -4/3 binary32) s))))
(/.f32 #s(approx (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 s s)) (/.f32 #s(literal -1/4 binary32) (.f32 r s)))) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (fma.f32 (/.f32 r s) #s(literal -4/3 binary32) #s(literal 2 binary32)) r)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) s))) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 s (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 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 r (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 s (fma.f32 (/.f32 (.f32 r r) s) #s(literal 8/3 binary32) (*.f32 r #s(literal 4 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal 2/3 binary32) s) #s(literal 8/3 binary32)) (.f32 s #s(literal 4 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 (fma.f32 (.f32 r r) (/.f32 #s(literal -8/3 binary32) s) (*.f32 r #s(literal -4 binary32))) (neg.f32 s))))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 (/.f32 #s(approx (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) (-.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (fma.f32 (/.f32 r s) #s(literal -5/72 binary32) #s(literal 1/6 binary32)) s))) s) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (fma.f32 (neg.f32 r) (/.f32 #s(literal 5/9 binary32) s) #s(literal 4/3 binary32)) s))))
(/.f32 (/.f32 #s(approx (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) (/.f32 (fma.f32 r (/.f32 (fma.f32 (/.f32 r s) #s(literal 5/72 binary32) #s(literal -1/6 binary32)) s) #s(literal 1/4 binary32)) r)) s) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (+.f32 (fma.f32 r (/.f32 #s(literal 5/9 binary32) (*.f32 s s)) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal -4/3 binary32) s))))
(.f32 (/.f32 #s(literal 1/8 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) s) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)))
(/.f32 (/.f32 (.f32 #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r)) (/.f32 #s(literal 1/8 binary32) s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
#s(approx (+ (* (/ 1/6 (* (PI) (* r s))) (* 3/4 (exp (/ r (* s -3))))) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s))))) (/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 (fma.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (.f32 s s))))
(.f32 (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s s)) #s(literal 4/81 binary32) (/.f32 #s(literal 2/3 binary32) s)) #s(literal 8/3 binary32)) (*.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))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))) r))
#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))) r))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (-.f32 #s(literal 4/3 binary32) (/.f32 (fma.f32 r #s(literal 5/9 binary32) (/.f32 (.f32 (.f32 r r) #s(literal -14/81 binary32)) s)) s)) s))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) #s(approx ( (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (PI.f32))))))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) #s(approx ( (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s))))) (-.f32 (/.f32 #s(literal 2 binary32) r) (/.f32 (-.f32 #s(literal 4/3 binary32) (/.f32 (fma.f32 r #s(literal 5/9 binary32) (.f32 #s(literal -14/81 binary32) (/.f32 (.f32 r r) s))) s)) s)))) s) (PI.f32))
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(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
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(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
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(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (fma.f32 r (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))) s) (PI.f32))
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(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (*.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32)))) s)) (PI.f32))
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(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (neg.f32 (.f32 s (-.f32 (.f32 r #s(literal -4 binary32)) (/.f32 (fma.f32 r (.f32 r #s(literal 8/3 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2/3 binary32) (.f32 (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32))) (/.f32 r s)) (fma.f32 #s(literal 4/3 binary32) (/.f32 (.f32 r (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32))) s) (.f32 (.f32 #s(literal -2 binary32) (.f32 r r)) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s)))) (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (*.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32)))) (neg.f32 s))) s))))))

Outputs

(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 4/81 binary32) (/.f32 #s(literal 2/3 binary32) s)) #s(literal 8/3 binary32)) (*.f32 s #s(literal 4 binary32))))))

(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (neg.f32 (*.f32 s (-.f32 (*.f32 r #s(literal -4 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 8/3 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2/3 binary32) (*.f32 (fma.f32 r (*.f32 (*.f32 r r) #s(literal 16/9 binary32)) (*.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32))) (/.f32 r s)) (fma.f32 #s(literal 4/3 binary32) (/.f32 (*.f32 r (*.f32 (*.f32 r (*.f32 r r)) #s(literal 5/9 binary32))) s) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 r r)) (/.f32 (*.f32 (*.f32 r r) #s(literal 14/81 binary32)) s)))) (fma.f32 r (*.f32 (*.f32 r r) #s(literal 16/9 binary32)) (*.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32)))) (neg.f32 s))) s))))))

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
74.0%	2	`s`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes107.0ms (0.8%)

Memory

11.5MiB live, 88.6MiB allocated

Counts

88 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
#s(approx (/ (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (PI)) (/.f32 #s(literal 1/4 binary32) (.f32 s (.f32 r (PI.f32)))))
(/.f32 #s(approx (/ (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))) (PI.f32))
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(/.f32 (.f32 #s(literal 1/8 binary32) #s(approx (+ (/ (exp (/ r ( s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 #s(literal 2 binary32) r))) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (.f32 s #s(literal 4 binary32)))))
(/.f32 (/.f32 #s(approx (* 1/8 (* (/ 1 r) (+ (exp (* r (/ -1/3 s))) (exp (/ r (neg s)))))) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 s (PI.f32))))))
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(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) #s(approx ( (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal -1/16 binary32)) (PI.f32))) s)) s) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)))
(.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 s (PI.f32))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))))))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (PI.f32))) #s(literal 1/48 binary32) (.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 (.f32 (fma.f32 r (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))) #s(literal 1/8 binary32)) (.f32 (.f32 r r) (.f32 s (PI.f32))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (.f32 s (PI.f32)))))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 r r) s) #s(literal -1/18 binary32) (.f32 r #s(literal 1/3 binary32))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (fma.f32 r (exp.f32 (neg.f32 (/.f32 r s))) (.f32 r #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 r r)))) s) (PI.f32))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 r r) s) #s(literal -1/18 binary32) (.f32 r #s(literal 1/3 binary32))) s)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32)))) (.f32 s (PI.f32))))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)))
(/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (exp ( r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (*.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32)))) s)) (PI.f32))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 (PI.f32) r))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) s) (PI.f32))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (.f32 r (/.f32 (.f32 r r) s)) (.f32 #s(literal 1/18 binary32) (.f32 r r))) (neg.f32 s))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r #s(approx (exp (* r (/ -1/3 s))) (fma.f32 r (fma.f32 r (/.f32 (.f32 r #s(literal -1/162 binary32)) (.f32 s (.f32 s s))) (/.f32 (fma.f32 #s(literal 1/18 binary32) (/.f32 r s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))))) (.f32 r r))) s) (PI.f32))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r ( s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))

Outputs

(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (*.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 4/81 binary32) (/.f32 #s(literal 2/3 binary32) s)) #s(literal 8/3 binary32)) (*.f32 s #s(literal 4 binary32))))))

Calls

2 calls:

53.0ms	r
49.0ms	s

Results

Accuracy	Segments	Branch
66.9%	1	`r`
66.9%	1	`s`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes47.0ms (0.4%)

Memory

4.0MiB live, 41.9MiB allocated

Counts

41 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

25.0ms

11.0ms

9.0ms

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

Results

Accuracy	Segments	Branch
24.4%	1	`s`
24.4%	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)))`
24.4%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes50.0ms (0.4%)

Memory

4.6MiB live, 42.2MiB allocated

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

35.0ms

8.0ms

6.0ms

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

Results

Accuracy	Segments	Branch
18.6%	1	`r`
18.6%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
18.6%	1	`s`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes25.0ms (0.2%)

Memory

16.9MiB live, 52.5MiB allocated

Counts

26 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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)))

8.0ms

7.0ms

Results

Accuracy	Segments	Branch
11.7%	1	`r`
11.7%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
11.7%	1	`s`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes20.0ms (0.1%)

Memory

-40.9MiB live, 17.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

12 → 1

Calls

Call 1

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

Calls

3 calls:

11.0ms

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
8.6%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
8.6%	1	`s`
8.6%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.35453071260307e-20	1.07576247454502e-19

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6948639945527436e-20	1.9379814238700283e-20

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify125.0ms (0.9%)

Memory

17.3MiB live, 93.4MiB allocated

Algorithm

1×	egg-herbie

Rules

998×	`distribute-lft-neg-in_binary32`
764×	`unsub-neg_binary32`
736×	`neg-mul-1_binary32`
526×	`neg-sub0_binary32`
392×	`sub-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	612
1	235	612
2	282	612
3	337	610
4	399	610
5	503	610
6	733	610
7	1138	610
8	1564	610
9	2009	610
10	2449	610
11	2794	610
12	3097	610
13	3271	610
14	3355	610
15	3407	610
16	3413	610
17	3413	610
18	3443	610

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
(if (<=.f32 s #s(literal 7737125/77371252455336267181195264 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s s)) #s(literal 4/81 binary32) (/.f32 #s(literal 2/3 binary32) s)) #s(literal 8/3 binary32)) (.f32 s #s(literal 4 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s ( 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 s (fma.f32 r #s(literal 4 binary32) (-.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 r (.f32 r (.f32 r (.f32 r #s(literal -14/81 binary32))))) (fma.f32 r (.f32 (fma.f32 (.f32 r (.f32 r r)) #s(literal -16/9 binary32) (.f32 #s(literal 2 binary32) (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)))) #s(literal 2/3 binary32)) (.f32 (.f32 r (.f32 r r)) (.f32 (.f32 r #s(literal 5/9 binary32)) #s(literal 4/3 binary32))))) (neg.f32 (.f32 s (.f32 s s)))) (fma.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) (/.f32 #s(literal 2 binary32) (.f32 s s)) (fma.f32 (.f32 r r) (/.f32 #s(literal -8/3 binary32) s) (/.f32 (.f32 r (.f32 (.f32 r r) #s(literal -16/9 binary32))) (.f32 s s))))))))))
(if (<=.f32 s #s(literal 2785365/154742504910672534362390528 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s s)) #s(literal 4/81 binary32) (/.f32 #s(literal 2/3 binary32) s)) #s(literal 8/3 binary32)) (.f32 s #s(literal 4 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s ( 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (neg.f32 (.f32 s (-.f32 (.f32 r #s(literal -4 binary32)) (/.f32 (fma.f32 r (.f32 r #s(literal 8/3 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2/3 binary32) (.f32 (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32))) (/.f32 r s)) (fma.f32 #s(literal 4/3 binary32) (/.f32 (.f32 r (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32))) s) (.f32 (.f32 #s(literal -2 binary32) (.f32 r r)) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s)))) (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (*.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32)))) (neg.f32 s))) s)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s s)) #s(literal 4/81 binary32) (/.f32 #s(literal 2/3 binary32) s)) #s(literal 8/3 binary32)) (*.f32 s #s(literal 4 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal 2/3 binary32) s) #s(literal 8/3 binary32)) (.f32 s #s(literal 4 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 s (fma.f32 (/.f32 (.f32 r r) s) #s(literal 8/3 binary32) (*.f32 r #s(literal 4 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r #s(literal 8/3 binary32) (.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))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))

Outputs
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r)))
(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) #s(approx (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)) (/.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) r)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 r (.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (.f32 (.f32 s (PI.f32)) r)))
(if (<=.f32 s #s(literal 7737125/77371252455336267181195264 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s s)) #s(literal 4/81 binary32) (/.f32 #s(literal 2/3 binary32) s)) #s(literal 8/3 binary32)) (.f32 s #s(literal 4 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s ( 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 s (fma.f32 r #s(literal 4 binary32) (-.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 r (.f32 r (.f32 r (.f32 r #s(literal -14/81 binary32))))) (fma.f32 r (.f32 (fma.f32 (.f32 r (.f32 r r)) #s(literal -16/9 binary32) (.f32 #s(literal 2 binary32) (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)))) #s(literal 2/3 binary32)) (.f32 (.f32 r (.f32 r r)) (.f32 (.f32 r #s(literal 5/9 binary32)) #s(literal 4/3 binary32))))) (neg.f32 (.f32 s (.f32 s s)))) (fma.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) (/.f32 #s(literal 2 binary32) (.f32 s s)) (fma.f32 (.f32 r r) (/.f32 #s(literal -8/3 binary32) s) (/.f32 (.f32 r (.f32 (.f32 r r) #s(literal -16/9 binary32))) (.f32 s s))))))))))
(if (<=.f32 s #s(literal 7737125/77371252455336267181195264 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s s)) #s(literal 4/81 binary32) (/.f32 #s(literal 2/3 binary32) s)) #s(literal 8/3 binary32)) (.f32 s #s(literal 4 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s ( 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 s (fma.f32 r #s(literal 4 binary32) (-.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 r (.f32 r (.f32 r (.f32 r #s(literal -14/81 binary32))))) (fma.f32 r (.f32 #s(literal 2/3 binary32) (fma.f32 (.f32 r (.f32 r r)) #s(literal -16/9 binary32) (.f32 #s(literal 2 binary32) (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32))))) (.f32 (.f32 r (.f32 r r)) (.f32 (.f32 r #s(literal 5/9 binary32)) #s(literal 4/3 binary32))))) (neg.f32 (.f32 s (.f32 s s)))) (fma.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) (/.f32 #s(literal 2 binary32) (.f32 s s)) (fma.f32 (.f32 r r) (/.f32 #s(literal -8/3 binary32) s) (/.f32 (.f32 r (.f32 (.f32 r r) #s(literal -16/9 binary32))) (.f32 s s))))))))))
(if (<=.f32 s #s(literal 2785365/154742504910672534362390528 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s s)) #s(literal 4/81 binary32) (/.f32 #s(literal 2/3 binary32) s)) #s(literal 8/3 binary32)) (.f32 s #s(literal 4 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s ( 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (neg.f32 (.f32 s (-.f32 (.f32 r #s(literal -4 binary32)) (/.f32 (fma.f32 r (.f32 r #s(literal 8/3 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2/3 binary32) (.f32 (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32))) (/.f32 r s)) (fma.f32 #s(literal 4/3 binary32) (/.f32 (.f32 r (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32))) s) (.f32 (.f32 #s(literal -2 binary32) (.f32 r r)) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s)))) (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (*.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32)))) (neg.f32 s))) s)))))))
(if (<=.f32 s #s(literal 2785365/154742504910672534362390528 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s s)) #s(literal 4/81 binary32) (/.f32 #s(literal 2/3 binary32) s)) #s(literal 8/3 binary32)) (.f32 s #s(literal 4 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s ( 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 s (-.f32 (/.f32 (fma.f32 r (.f32 r #s(literal 8/3 binary32)) (/.f32 (-.f32 (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal -2/3 binary32) (.f32 (/.f32 r s) (fma.f32 r (.f32 (.f32 r r) #s(literal 16/9 binary32)) (.f32 (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32)) #s(literal -2 binary32)))) (fma.f32 #s(literal 4/3 binary32) (/.f32 (.f32 r (.f32 (.f32 r (.f32 r r)) #s(literal 5/9 binary32))) s) (.f32 (.f32 (.f32 r r) #s(literal -2 binary32)) (/.f32 (.f32 (.f32 r r) #s(literal 14/81 binary32)) s))))) s)) s) (*.f32 r #s(literal -4 binary32)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s s)) #s(literal 4/81 binary32) (/.f32 #s(literal 2/3 binary32) s)) #s(literal 8/3 binary32)) (*.f32 s #s(literal 4 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal 2/3 binary32) s) #s(literal 8/3 binary32)) (.f32 s #s(literal 4 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 s (fma.f32 (/.f32 (.f32 r r) s) #s(literal 8/3 binary32) (*.f32 r #s(literal 4 binary32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(approx (/ s (* 1/8 (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))) (.f32 r (fma.f32 r #s(literal 8/3 binary32) (.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))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 s (PI.f32)) r)))

soundness1.0s (7.9%)

Memory

18.6MiB live, 967.9MiB allocated

Rules

14 624×	`lower-fma.f64`
14 624×	`lower-fma.f32`
11 178×	`lower-fma.f64`
11 178×	`lower-fma.f32`
9 148×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	1900
1	756	1845
2	2113	1788
3	5956	1788
0	8227	1755
0	666	7033
1	1985	6918
2	5671	6850
0	8052	6667
0	72	336
0	124	329
1	489	303
2	4589	303
0	8820	303
0	846	7778
1	2548	7545
2	7531	7523
0	8437	7307
0	76	345
0	132	329
1	514	325
2	5290	319
0	8623	319
0	25	90
0	43	90
1	142	79
2	1312	71
0	9456	71

Stop Event

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

Compiler

Compiled 740 to 391 computations (47.2% saved)

preprocess88.0ms (0.7%)

Memory: 20.6MiB live, 212.6MiB allocated
Compiler: Compiled 810 to 294 computations (63.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze67.0ms (0.5%)

sample2.1s (15.7%)

preprocess308.0ms (2.3%)

explain261.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify249.0ms (1.9%)

localize65.0ms (0.5%)

series28.0ms (0.2%)

simplify853.0ms (6.5%)

rewrite713.0ms (5.4%)

eval120.0ms (0.9%)

prune175.0ms (1.3%)

simplify432.0ms (3.3%)

localize606.0ms (4.6%)

series58.0ms (0.4%)

simplify370.0ms (2.8%)

rewrite466.0ms (3.5%)

eval141.0ms (1.1%)

prune171.0ms (1.3%)

simplify470.0ms (3.6%)

localize263.0ms (2%)

series54.0ms (0.4%)

simplify376.0ms (2.9%)

rewrite546.0ms (4.1%)

eval177.0ms (1.3%)

prune376.0ms (2.9%)

simplify278.0ms (2.1%)

localize412.0ms (3.1%)

series50.0ms (0.4%)

simplify554.0ms (4.2%)

rewrite322.0ms (2.4%)

eval63.0ms (0.5%)

prune148.0ms (1.1%)

regimes104.0ms (0.8%)

regimes124.0ms (0.9%)

regimes80.0ms (0.6%)

regimes81.0ms (0.6%)

regimes45.0ms (0.3%)

regimes107.0ms (0.8%)

regimes47.0ms (0.4%)

regimes50.0ms (0.4%)

regimes25.0ms (0.2%)

regimes20.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify125.0ms (0.9%)

soundness1.0s (7.9%)

preprocess88.0ms (0.7%)

end0.0ms (0%)

Profiling