Metrics for Disney BSSRDF, PDF of scattering profile

analyze71.0ms (0.5%)

Memory

-16.3MiB live, 99.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 49 to 37 computations (24.5% saved)

sample2.5s (17.5%)

Memory

-54.6MiB live, 3 658.0MiB allocated

Samples

1.9s

8 256×

valid

Precisions

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

ival-mult: 451.0ms (26.8% of total)

ival-<=: 304.0ms (18.1% of total)

ival-div: 292.0ms (17.4% of total)

ival-exp: 214.0ms (12.7% of total)

const: 159.0ms (9.5% of total)

ival-<: 76.0ms (4.5% of total)

ival-neg: 51.0ms (3% of total)

ival-add: 38.0ms (2.3% of total)

ival-pi: 36.0ms (2.1% of total)

exact: 32.0ms (1.9% of total)

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

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

Bogosity

preprocess309.0ms (2.2%)

Memory

-46.2MiB live, 478.5MiB allocated

Algorithm

2×	egg-herbie

Rules

5 478×	`/-lowering-/.f32`
5 478×	`/-lowering-/.f64`
5 136×	`-lowering-.f32`
5 136×	`-lowering-.f64`
2 508×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	208
1	224	168
2	1067	124
3	5067	124
0	25	33
1	65	28
2	234	22
3	870	20
4	2441	20
5	3148	20
6	3506	20
7	3918	20
8	4320	20
9	4332	20
10	5231	20
11	5426	20
12	5439	20
13	5441	20
14	5519	20
15	5519	20
0	8333	20

Stop Event

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

Calls

Call 1

Inputs
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))

Outputs

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

Call 2

Inputs
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
(+ (/ (* 1/4 (exp (/ (neg r) (neg s)))) (* (* (* 2 (PI)) (neg s)) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 (neg s))))) (* (* (* 6 (PI)) (neg s)) r)))
(+ (/ (* 1/4 (exp (/ (neg (neg r)) s))) (* (* (* 2 (PI)) s) (neg r))) (/ (* 3/4 (exp (/ (neg (neg r)) (* 3 s)))) (* (* (* 6 (PI)) s) (neg r))))
(neg (+ (/ (* 1/4 (exp (/ (neg r) (neg s)))) (* (* (* 2 (PI)) (neg s)) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 (neg s))))) (* (* (* 6 (PI)) (neg s)) r))))
(neg (+ (/ (* 1/4 (exp (/ (neg (neg r)) s))) (* (* (* 2 (PI)) s) (neg r))) (/ (* 3/4 (exp (/ (neg (neg r)) (* 3 s)))) (* (* (* 6 (PI)) s) (neg r)))))
(+ (/ (* 1/4 (exp (/ (neg s) r))) (* (* (* 2 (PI)) r) s)) (/ (* 3/4 (exp (/ (neg s) (* 3 r)))) (* (* (* 6 (PI)) r) s)))

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

explain459.0ms (3.3%)

Memory

-12.6MiB live, 504.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
2	0	-	2	(0.0009069574298337102 0.0878203883767128)	`(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))`
1	0	-	0	-	`(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))`
1	8	(0.00825370755046606 2.725687026977539)	1	(0.3416782319545746 37.26397705078125)	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`
0	0	-	0	-	`(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)`
0	0	-	0	-	`(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)`
0	0	-	0	-	`(*.f32 #s(literal 6 binary32) (PI.f32))`
0	0	-	0	-	`(neg.f32 r)`
0	0	-	0	-	`s`
0	0	-	0	-	`(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))`
0	0	-	0	-	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
0	0	-	0	-	`#s(literal 3/4 binary32)`
0	0	-	0	-	`(/.f32 (neg.f32 r) s)`
0	0	-	0	-	`#s(literal 1/4 binary32)`
0	9	(0.00825370755046606 2.725687026977539)	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))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) s))`	sensitivity	9	4
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`	sensitivity	8	4
`/.f32`	`(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))`	u/n	1	0
↳	`(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))`	underflow	235
↳	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`	underflow	235

Confusion

	Predicted +	Predicted -
+	2	3
-	9	242

Precision

0.18181818181818182

Recall

0.4

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	3	0
-	9	1	241

Precision?

0.3333333333333333

Recall?

1.0

Freqs

test

number	freq
0	245
1	5
2	5
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

153.0ms

512×

valid

Compiler

Compiled 366 to 104 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 69.0ms (57.2% of total)

ival-neg: 24.0ms (19.9% of total)

ival-div: 13.0ms (10.8% of total)

ival-exp: 8.0ms (6.6% of total)

ival-pi: 2.0ms (1.7% of total)

ival-add: 2.0ms (1.7% of total)

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

exact: 1.0ms (0.8% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(+.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)) (/.f32 (.f32 #s(literal 3/4 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

▶

99.4%

(+.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)) (/.f32 (*.f32 #s(literal 3/4 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)

simplify403.0ms (2.9%)

Memory

-9.9MiB live, 232.8MiB 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×	`/-lowering-/.f32`
5 478×	`/-lowering-/.f64`
5 136×	`-lowering-.f32`
5 136×	`-lowering-.f64`
2 508×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	146
1	65	133
2	234	125
3	870	121
4	2441	121
5	3148	121
6	3506	121
7	3918	121
8	4320	121
9	4332	121
10	5231	121
11	5426	121
12	5439	121
13	5441	121
14	5519	121
15	5519	121
0	8333	121

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(* 1/4 (exp (/ (neg r) s)))
1/4
(exp (/ (neg r) s))
(/ (neg r) s)
(neg r)
r
s
(* (* (* 2 (PI)) s) r)
(* (* 2 (PI)) s)
(* 2 (PI))
2
(PI)
(/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))
(* 3/4 (exp (/ (neg r) (* 3 s))))
3/4
(exp (/ (neg r) (* 3 s)))
(/ (neg r) (* 3 s))
(* 3 s)
3
(* (* (* 6 (PI)) s) r)
(* (* 6 (PI)) s)
(* 6 (PI))
6

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

localize82.0ms (0.6%)

Memory

24.4MiB live, 63.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
✓	accuracy	99.2%	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
✓	accuracy	99.1%	(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)

Samples

56.0ms

256×

valid

Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-exp: 23.0ms (50.3% of total)

ival-mult: 12.0ms (26.3% of total)

ival-div: 7.0ms (15.3% of total)

ival-pi: 1.0ms (2.2% of total)

ival-add: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

series72.0ms (0.5%)

Memory

-15.2MiB live, 23.0MiB allocated

Counts

7 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
48.0ms	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	(* (* (* 6 (PI)) s) r)
2.0ms	r	@	-inf	(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))

rewrite587.0ms (4.2%)

Memory

11.0MiB live, 442.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 444×	`accelerator-lowering-fma.f32`
6 444×	`accelerator-lowering-fma.f64`
6 424×	`/-lowering-/.f32`
6 424×	`/-lowering-/.f64`
4 548×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	90
1	124	79
2	1295	71
0	9446	71

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 546

Calls

Call 1

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

simplify506.0ms (3.6%)

Memory

19.7MiB live, 653.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 624×	`accelerator-lowering-fma.f32`
14 624×	`accelerator-lowering-fma.f64`
5 362×	`-lowering-.f32`
5 362×	`-lowering-.f64`
2 476×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	1900
1	756	1845
2	2113	1788
3	5949	1788
0	8220	1755

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval64.0ms (0.5%)

Memory: 10.8MiB live, 205.3MiB allocated
Compiler: Compiled 26 733 to 1 724 computations (93.6% saved)

prune112.0ms (0.8%)

Memory

-46.5MiB live, 328.1MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	679	23	702
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	680	23	703

Accuracy

99.6%

Counts

703 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.7%	(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	96.7%	(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)))))
	99.4%	(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
	7.4%	(/.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)
	7.0%	(/.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)
▶	7.3%	(/.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)
	99.4%	(/.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)
▶	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
	7.4%	(+.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)))))
	6.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (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))
	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)) (/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) s))
	7.6%	(+.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 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
	7.7%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.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))
	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)) (/.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (.f32 (.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32)))))
	99.4%	(+.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)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -3 binary32) r)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
▶	99.4%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	7.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
	99.3%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 r s))) #s(literal 4 binary32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))))
	6.9%	(+.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)))))
	96.7%	(+.f32 (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	99.4%	(.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)))
▶	99.4%	(.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)))
	99.4%	(.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s))

Compiler

Compiled 1 416 to 940 computations (33.6% saved)

simplify265.0ms (1.9%)

Memory

47.9MiB live, 516.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
✓	cost-diff	64	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
✓	cost-diff	1056	(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r 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	544	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓	cost-diff	0	(/.f32 (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))
✓	cost-diff	0	(+.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)))))
✓	cost-diff	0	(/.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)
✓	cost-diff	320	(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))))
✓	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(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
✓	cost-diff	160	(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
✓	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 (.f32 r #s(literal -1/3 binary32)) s))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))

Rules

5 716×	`-lowering-.f32`
5 716×	`-lowering-.f64`
4 862×	`/-lowering-/.f32`
4 862×	`/-lowering-/.f64`
2 944×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	513
1	176	503
2	504	494
3	1571	472
4	3671	472
5	4220	472
6	4447	472
7	4687	472
8	4723	472
9	4723	472
10	5550	472
11	5740	472
12	5772	472
13	5773	472
14	5773	472
0	8772	468

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize237.0ms (1.7%)

Memory

-21.0MiB live, 418.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f32 r (*.f32 s #s(literal -3 binary32)))
✓	accuracy	99.0%	(/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 r s))
✓	accuracy	97.1%	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
✓	accuracy	99.7%	(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
✓	accuracy	99.2%	(/.f32 r (*.f32 s #s(literal -3 binary32)))
✓	accuracy	99.1%	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	accuracy	98.9%	(*.f32 s (PI.f32))
✓	accuracy	99.0%	(*.f32 r (PI.f32))
✓	accuracy	98.9%	(*.f32 s (PI.f32))
✓	accuracy	98.8%	(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
✓	accuracy	98.8%	(/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (*.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	98.9%	(*.f32 s (PI.f32))
✓	accuracy	99.2%	(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
✓	accuracy	99.1%	(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
✓	accuracy	98.8%	(*.f32 r #s(literal -1/3 binary32))

Samples

134.0ms

256×

valid

Compiler

Compiled 516 to 70 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 43.0ms (39.7% of total)

ival-div: 32.0ms (29.5% of total)

const: 13.0ms (12% of total)

ival-exp: 8.0ms (7.4% of total)

ival-add: 6.0ms (5.5% of total)

ival-pi: 4.0ms (3.7% of total)

ival-neg: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series54.0ms (0.4%)

Memory

2.1MiB live, 81.8MiB allocated

Counts

28 → 576

Calls

Call 1

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

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

Calls

144 calls:

Time	Variable		Point	Expression
6.0ms	s	@	inf	(* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))
5.0ms	s	@	0	(/ (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI))))) s)
3.0ms	r	@	0	(/ 1/8 (* (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)))

rewrite374.0ms (2.7%)

Memory

4.3MiB live, 678.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 830×	`-lowering-.f32`
5 830×	`-lowering-.f64`
4 366×	`accelerator-lowering-fma.f32`
4 366×	`accelerator-lowering-fma.f64`
3 120×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	340
1	407	304
2	4971	304
0	8178	298

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 1 452

Calls

Call 1

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

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

simplify404.0ms (2.9%)

Memory

10.9MiB live, 756.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 808×	`accelerator-lowering-fma.f32`
8 808×	`accelerator-lowering-fma.f64`
5 420×	`-lowering-.f32`
5 420×	`-lowering-.f64`
3 400×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	605	7007
1	1829	6787
2	5210	6742
0	8154	6575

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

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))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (* r (- (* 1/8 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1/4 (* r (- (* r (+ (* -1/24 (/ r (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (+ (* -1/4 (/ r s)) (* 1/8 (/ (pow r 2) (pow s 2)))))
(+ 1/4 (+ (* -1/4 (/ r s)) (+ (* -1/24 (/ (pow r 3) (pow s 3))) (* 1/8 (/ (pow r 2) (pow s 2))))))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (* -1 (/ (+ (* -1/8 (/ (pow r 2) s)) (* 1/4 r)) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow r 3) s)) (* 1/8 (pow r 2))) s)) (* 1/4 r)) s)))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* 5/72 (/ r (PI)))
(* r (+ (* -7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI)))))
(* r (+ (* -7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI)))))
(* r (+ (* -7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI)))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) s)
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) s)
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) s)
(* 5/72 (/ r (PI)))
(+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI))))
(+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI))))
(+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI))))
(* 5/72 (/ r (PI)))
(+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI))))
(+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI))))
(+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ 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))
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(* 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)))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))

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

eval295.0ms (2.1%)

Memory: 33.0MiB live, 659.7MiB allocated
Compiler: Compiled 83 414 to 5 246 computations (93.7% saved)

prune296.0ms (2.1%)

Memory

-13.6MiB live, 862.7MiB allocated

Pruning

55 alts after pruning (53 fresh and 2 done)

	Pruned	Kept	Total
New	2 404	48	2 452
Fresh	13	5	18
Picked	3	2	5
Done	0	0	0
Total	2 420	55	2 475

Accuracy

99.6%

Counts

2 475 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(fma.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	7.7%	(fma.f32 (/.f32 (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 (.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
✓	96.7%	(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (.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 binary32) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (.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 s (PI.f32))) (/.f32 #s(literal 3/4 binary32) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	96.7%	(fma.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 #s(literal 6 binary32) (.f32 s (PI.f32))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))) (/.f32 #s(literal 3/4 binary32) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	7.0%	(/.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)
	7.3%	(/.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 r r) (/.f32 #s(literal -7/324 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) s) (.f32 (PI.f32) (.f32 r (.f32 s (PI.f32)))) (.f32 s (fma.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)) (.f32 (.f32 r (PI.f32)) #s(literal -1/6 binary32))))) (.f32 s (.f32 (PI.f32) (.f32 r (.f32 s (PI.f32)))))) s)
	7.3%	(/.f32 (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (/.f32 (.f32 #s(literal -7/324 binary32) (.f32 r r)) (PI.f32))) (.f32 s (.f32 s s))) s)
	7.4%	(/.f32 (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r) s)
	7.2%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
	99.3%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) (PI.f32)) s)
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
	7.3%	(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (*.f32 s s)))) s)
	7.3%	(/.f32 (+.f32 (/.f32 (.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
	7.4%	(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s)
▶	7.0%	(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
	6.4%	(/.f32 (.f32 (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) #s(literal 3 binary32))) #s(literal 1/8 binary32)) (.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (-.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r)) (pow.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) #s(literal 2 binary32))) (.f32 s (PI.f32))))
▶	5.9%	(/.f32 (.f32 (.f32 r r) (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 r (.f32 (PI.f32) (.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (.f32 r r) (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 (PI.f32) (.f32 r r))))) (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 (PI.f32) (.f32 s s)))))) s)
	5.8%	(/.f32 (.f32 r (.f32 r (-.f32 (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 (PI.f32) (.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal -5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 r (PI.f32)))) (/.f32 #s(literal 1/6 binary32) (.f32 r (*.f32 s (PI.f32)))))) r)))) s)
	99.4%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s)
	99.4%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) r))) (*.f32 s (PI.f32)))
	99.4%	(/.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))))
	7.2%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
	7.3%	(/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 (.f32 r r) (/.f32 #s(literal -7/324 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))))
	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
▶	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
	7.4%	(-.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)))
	6.9%	(-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	6.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (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))
	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)) (/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) s))
	7.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
	99.3%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 r s))) #s(literal 4 binary32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))))
	7.2%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
	7.2%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32)))
	7.2%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (pow.f32 (/.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32)))
	7.3%	(.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (fma.f32 (.f32 r r) (/.f32 #s(literal -7/324 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))))
	6.2%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/162 binary32) (/.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)))
	7.7%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (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)))
	98.1%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 (*.f32 r #s(literal -1/3 binary32))) (/.f32 #s(literal 1 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 r) (/.f32 #s(literal -1/3 binary32) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
▶	99.4%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	99.4%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
▶	99.4%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	7.5%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	99.4%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))))
	99.4%	(.f32 (.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1/6 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)))
	99.3%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))

Compiler

Compiled 2 740 to 1 819 computations (33.6% saved)

simplify308.0ms (2.2%)

Memory

10.7MiB live, 564.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 s (PI.f32))
✓	cost-diff	0	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	cost-diff	544	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓	cost-diff	0	(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 r (.f32 (PI.f32) (.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (.f32 r r) (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 (PI.f32) (.f32 r r))))) (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 (PI.f32) (.f32 s s)))))
✓	cost-diff	0	(*.f32 r r)
✓	cost-diff	0	(/.f32 (.f32 (.f32 r r) (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 r (.f32 (PI.f32) (.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (.f32 r r) (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 (PI.f32) (.f32 r r))))) (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 (PI.f32) (.f32 s s)))))) s)
✓	cost-diff	992	(.f32 (.f32 r r) (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 r (.f32 (PI.f32) (.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (.f32 r r) (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 (PI.f32) (.f32 r r))))) (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 (PI.f32) (.f32 s s))))))
✓	cost-diff	0	(*.f32 r (PI.f32))
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
✓	cost-diff	0	(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))
✓	cost-diff	0	(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 r s)
✓	cost-diff	0	(.f32 (.f32 r s) (PI.f32))
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
✓	cost-diff	0	(*.f32 s (PI.f32))
✓	cost-diff	0	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	cost-diff	192	(/.f32 (/.f32 r #s(literal -3 binary32)) s)
✓	cost-diff	544	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))

Rules

11 418×	`accelerator-lowering-fma.f32`
11 418×	`accelerator-lowering-fma.f64`
3 550×	`-lowering-.f32`
3 550×	`-lowering-.f64`
3 346×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	513
1	139	499
2	403	489
3	1067	485
4	2332	469
5	4504	465
6	5363	465
7	6584	465
8	6941	465
9	7256	465
10	7383	465
0	8481	463

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize200.0ms (1.4%)

Memory

4.3MiB live, 276.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
✓	accuracy	99.1%	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	accuracy	98.9%	(*.f32 s (PI.f32))
✓	accuracy	98.8%	(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
✓	accuracy	98.3%	(.f32 r (.f32 (PI.f32) (*.f32 s s)))
✓	accuracy	96.7%	(.f32 (.f32 r r) (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 r (.f32 (PI.f32) (.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (.f32 r r) (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 (PI.f32) (.f32 r r))))) (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 (PI.f32) (.f32 s s))))))
✓	accuracy	93.9%	(+.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 r (.f32 (PI.f32) (.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (.f32 r r) (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 (PI.f32) (*.f32 r r)))))
✓	accuracy	54.9%	(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 r (.f32 (PI.f32) (.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (.f32 r r) (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (.f32 s (.f32 (PI.f32) (.f32 r r))))) (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 (PI.f32) (.f32 s s)))))
✓	accuracy	99.2%	(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
✓	accuracy	99.0%	(*.f32 r (PI.f32))
✓	accuracy	98.9%	(*.f32 s (PI.f32))
✓	accuracy	98.8%	(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
✓	accuracy	100.0%	(*.f32 r s)
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.1%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
✓	accuracy	98.8%	(.f32 (.f32 r s) (PI.f32))
✓	accuracy	99.7%	(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
✓	accuracy	99.2%	(/.f32 (/.f32 r #s(literal -3 binary32)) s)
✓	accuracy	99.1%	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	accuracy	98.9%	(*.f32 s (PI.f32))

Samples

122.0ms

256×

valid

Compiler

Compiled 515 to 56 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-div: 32.0ms (34.3% of total)

ival-mult: 26.0ms (27.9% of total)

const: 15.0ms (16.1% of total)

ival-add: 7.0ms (7.5% of total)

ival-exp: 6.0ms (6.4% of total)

ival-pi: 4.0ms (4.3% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory

-1.9MiB live, 34.3MiB allocated

Counts

23 → 456

Calls

Call 1

Inputs
#<alt (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ (/ r -3) s)) r) (/ (exp (/ r (neg s))) r)))>
#<alt (/ (/ r -3) s)>
#<alt (/ 1/8 (* s (PI)))>
#<alt (* s (PI))>
#<alt (/ 1/4 (* (* r s) (PI)))>
#<alt (* (* r s) (PI))>
#<alt (* r s)>
#<alt (PI)>
#<alt (/ (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI)))) s)>
#<alt (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI))))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (* r (PI))>
#<alt (* (* r r) (+ (+ (+ (/ 5/72 (* r (* (PI) (* s s)))) (/ 1/4 (* r (* (* r r) (PI))))) (/ -1/6 (* s (* (PI) (* r r))))) (/ -7/324 (* s (* (PI) (* s s))))))>
#<alt (/ (* (* r r) (+ (+ (+ (/ 5/72 (* r (* (PI) (* s s)))) (/ 1/4 (* r (* (* r r) (PI))))) (/ -1/6 (* s (* (PI) (* r r))))) (/ -7/324 (* s (* (PI) (* s s)))))) s)>
#<alt (* r r)>
#<alt (+ (+ (+ (/ 5/72 (* r (* (PI) (* s s)))) (/ 1/4 (* r (* (* r r) (PI))))) (/ -1/6 (* s (* (PI) (* r r))))) (/ -7/324 (* s (* (PI) (* s s)))))>
#<alt (* (/ 1/8 (* s (PI))) (+ (/ (exp (* (/ r s) -1/3)) r) (/ (exp (/ r (neg s))) r)))>
#<alt (exp (/ (/ r -3) s))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (+ (+ (/ 5/72 (* r (* (PI) (* s s)))) (/ 1/4 (* r (* (* r r) (PI))))) (/ -1/6 (* s (* (PI) (* r r)))))>
#<alt (* r (* (PI) (* s s)))>
#<alt (* (/ r s) -1/3)>
#<alt (exp (* (/ r s) -1/3))>

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

Calls

114 calls:

Time	Variable		Point	Expression
5.0ms	s	@	-inf	(exp (* (/ r s) -1/3))
1.0ms	s	@	0	(/ (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI)))) s)
1.0ms	r	@	0	(* r (* (PI) (* s s)))
1.0ms	r	@	0	(/ (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI)))) s)
0.0ms	s	@	0	(+ (+ (/ 5/72 (* r (* (PI) (* s s)))) (/ 1/4 (* r (* (* r r) (PI))))) (/ -1/6 (* s (* (PI) (* r r)))))

rewrite347.0ms (2.5%)

Memory

-16.3MiB live, 553.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 840×	`-lowering-.f32`
4 840×	`-lowering-.f64`
4 096×	`/-lowering-/.f32`
4 096×	`/-lowering-/.f64`
3 396×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	293
1	351	285
2	4133	279
0	8402	275

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 738

Calls

Call 1

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

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

simplify613.0ms (4.4%)

Memory

27.0MiB live, 571.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 680×	`accelerator-lowering-fma.f32`
13 680×	`accelerator-lowering-fma.f64`
6 262×	`-lowering-.f32`
6 262×	`-lowering-.f64`
3 438×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	392	5043
1	1165	4959
2	3272	4858
0	8718	4734

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

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

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

eval252.0ms (1.8%)

Memory: 46.6MiB live, 261.3MiB allocated
Compiler: Compiled 53 836 to 4 040 computations (92.5% saved)

prune285.0ms (2%)

Memory

-21.1MiB live, 350.8MiB allocated

Pruning

57 alts after pruning (53 fresh and 4 done)

	Pruned	Kept	Total
New	1 547	24	1 571
Fresh	19	29	48
Picked	2	3	5
Done	1	1	2
Total	1 569	57	1 626

Accuracy

99.7%

Counts

1 626 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(fma.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	7.7%	(fma.f32 (/.f32 (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 (.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (.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 binary32) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (.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 s (PI.f32))) (/.f32 #s(literal 3/4 binary32) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	96.7%	(fma.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 #s(literal 6 binary32) (.f32 s (PI.f32))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))) (/.f32 #s(literal 3/4 binary32) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	5.9%	(/.f32 (fma.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 r (.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) (.f32 r r)))) (.f32 r r) (.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s (.f32 r r)))) (/.f32 #s(literal -7/324 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))) (*.f32 r r))) s)
	7.0%	(/.f32 (fma.f32 (PI.f32) (.f32 r #s(literal -1/6 binary32)) (.f32 (.f32 s (PI.f32)) #s(literal 1/4 binary32))) (.f32 s (.f32 (PI.f32) (.f32 s (*.f32 (PI.f32) r)))))
	7.0%	(/.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)
	7.3%	(/.f32 (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (/.f32 (.f32 r (.f32 r #s(literal -7/324 binary32))) (PI.f32))) (.f32 s (.f32 s s))) s)
	7.4%	(/.f32 (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r) s)
	7.0%	(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (PI.f32) (.f32 (.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))) (.f32 (.f32 s (PI.f32)) (PI.f32))) s)
	7.2%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
	7.2%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
	99.3%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) (PI.f32)) s)
	7.0%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 s (.f32 (PI.f32) r))) (fma.f32 (PI.f32) (.f32 r #s(literal -1/6 binary32)) (.f32 (.f32 s (PI.f32)) #s(literal 1/4 binary32))))) s)
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32))
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r))
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
	7.3%	(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (*.f32 s s)))) s)
	7.3%	(/.f32 (+.f32 (/.f32 (.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
	7.4%	(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))) s)
✓	7.0%	(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
	98.3%	(/.f32 (.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)))) #s(literal 1/8 binary32)) (.f32 (PI.f32) (.f32 s (.f32 r r))))
▶	7.4%	(/.f32 (.f32 (.f32 r r) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (.f32 r (*.f32 r r)))) s)
	7.2%	(/.f32 (.f32 (.f32 r r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (.f32 r (*.f32 r r))))) s)
	7.4%	(/.f32 (.f32 (.f32 r r) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (.f32 r (.f32 r r)))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (.f32 s (PI.f32)))) (-.f32 (/.f32 #s(literal 1/6 binary32) r) (/.f32 #s(literal 5/72 binary32) s))))) s)
	5.8%	(/.f32 (.f32 (.f32 r r) (+.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 r (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 r (PI.f32))))) r) (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 (PI.f32) (*.f32 s s)))))) s)
	5.9%	(/.f32 (.f32 (.f32 r r) (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s (.f32 r r)))) (+.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 r (.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) (.f32 r r)))) (/.f32 #s(literal -7/324 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))))) s)
	5.8%	(/.f32 (.f32 r (.f32 r (-.f32 (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 (PI.f32) (.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal -5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 r (PI.f32)))) (/.f32 #s(literal 1/6 binary32) (.f32 r (*.f32 s (PI.f32)))))) r)))) s)
	99.4%	(/.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))))
	99.4%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (.f32 r (/.f32 #s(literal -1/3 binary32) s))))) (.f32 r (.f32 s (PI.f32))))
	7.2%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
	7.2%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r))))
	7.3%	(/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 (.f32 r r) (/.f32 #s(literal -7/324 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))))
	7.0%	(/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))))
▶	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
▶	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))
✓	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
	7.4%	(-.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)))
	6.9%	(-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	6.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (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))
	7.5%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
	7.2%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
	7.2%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/4 binary32)) #s(literal -1 binary32)))
	7.2%	(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (.f32 s r)))
	7.0%	(.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
	6.2%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/162 binary32) (/.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)))
	7.7%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (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)))
▶	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (E.f32) (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓	99.4%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	7.5%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	99.4%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)))))
	5.8%	(.f32 r (.f32 (.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 r (.f32 s s)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) (.f32 r r))) (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s (.f32 r r)))) (/.f32 #s(literal -7/324 binary32) (.f32 (PI.f32) (.f32 s (*.f32 s s)))))))) (/.f32 #s(literal 1 binary32) s)))

Compiler

Compiled 2 657 to 1 758 computations (33.8% saved)

simplify407.0ms (2.9%)

Memory

-10.2MiB live, 498.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 s (PI.f32))
✓	cost-diff	0	(/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32)))
✓	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	896	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 3/4 binary32) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
✓	cost-diff	0	(*.f32 r r)
✓	cost-diff	192	(/.f32 (.f32 (.f32 r r) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (.f32 r (*.f32 r r)))) s)
✓	cost-diff	320	(fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32)))
✓	cost-diff	640	(.f32 (.f32 r r) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (.f32 r (*.f32 r r))))
✓	cost-diff	0	(*.f32 s r)
✓	cost-diff	0	(.f32 (.f32 s r) (sqrt.f32 (PI.f32)))
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
✓	cost-diff	800	(.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 (PI.f32) r)
✓	cost-diff	0	(.f32 (.f32 (PI.f32) r) s)
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))
✓	cost-diff	0	(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 (E.f32) (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))

Rules

9 272×	`accelerator-lowering-fma.f32`
9 272×	`accelerator-lowering-fma.f64`
4 552×	`/-lowering-/.f32`
4 552×	`/-lowering-/.f64`
4 414×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	377
1	136	375
2	381	360
3	1123	338
4	3381	338
5	4322	338
6	5651	338
7	6121	338
8	6236	338
9	6308	338
10	7987	338
0	8052	329

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ 1/8 (* s (PI))) (+ (/ (pow (E) (/ (* r -1/3) s)) r) (/ (exp (/ r (neg s))) r)))
(/ 1/8 (* s (PI)))
1/8
(* s (PI))
s
(PI)
(+ (/ (pow (E) (/ (* r -1/3) s)) r) (/ (exp (/ r (neg s))) r))
(/ (pow (E) (/ (* r -1/3) s)) r)
(pow (E) (/ (* r -1/3) s))
(E)
(/ (* r -1/3) s)
(* r -1/3)
r
-1/3
(/ (exp (/ r (neg s))) r)
(exp (/ r (neg s)))
(/ r (neg s))
(neg s)
(/ 1/4 (* (* (PI) r) s))
1/4
(* (* (PI) r) s)
(* (PI) r)
(PI)
r
s
(/ 1/4 (* (* (* s r) (sqrt (PI))) (sqrt (PI))))
1/4
(* (* (* s r) (sqrt (PI))) (sqrt (PI)))
(* (* s r) (sqrt (PI)))
(* s r)
s
r
(sqrt (PI))
(PI)
(/ (* (* r r) (/ (+ (* r (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/ 1/4 (PI))) (* r (* r r)))) s)
(* (* r r) (/ (+ (* r (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/ 1/4 (PI))) (* r (* r r))))
(* r r)
r
(/ (+ (* r (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/ 1/4 (PI))) (* r (* r r)))
(+ (* r (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/ 1/4 (PI)))
(+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))
(/ 5/72 (* s (* s (PI))))
5/72
(* s (* s (PI)))
s
(* s (PI))
(PI)
(/ -1/6 (* s (PI)))
-1/6
(/ 1/4 (PI))
1/4
(* r (* r r))
(+ (* (/ 1/6 (* s (PI))) (/ 3/4 r)) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))))
(/ 1/6 (* s (PI)))
1/6
(* s (PI))
s
(PI)
(/ 3/4 r)
3/4
r
(* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s))))
(exp (/ r (neg s)))
(/ r (neg s))
(neg s)
(/ 1/8 (* (PI) (* r s)))
1/8
(* (PI) (* r s))
(* r s)

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

localize215.0ms (1.5%)

Memory

38.4MiB live, 430.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(*.f32 s (PI.f32))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 r s))
✓	accuracy	98.8%	(/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32)))
✓	accuracy	97.1%	(.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
✓	accuracy	98.7%	(fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
✓	accuracy	98.2%	(.f32 (.f32 r r) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (.f32 r (*.f32 r r))))
✓	accuracy	97.4%	(fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32)))
✓	accuracy	93.3%	(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (.f32 r (*.f32 r r)))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.1%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
✓	accuracy	98.8%	(.f32 (.f32 s r) (sqrt.f32 (PI.f32)))
✓	accuracy	98.7%	(.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.1%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))
✓	accuracy	99.0%	(.f32 (.f32 (PI.f32) r) s)
✓	accuracy	99.0%	(*.f32 (PI.f32) r)
✓	accuracy	99.2%	(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
✓	accuracy	99.1%	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	accuracy	98.9%	(*.f32 s (PI.f32))
✓	accuracy	98.8%	(*.f32 r #s(literal -1/3 binary32))

Samples

109.0ms

256×

valid

Compiler

Compiled 385 to 54 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-div: 26.0ms (31.1% of total)

ival-mult: 25.0ms (29.9% of total)

const: 14.0ms (16.7% of total)

ival-pow: 5.0ms (6% of total)

ival-add: 4.0ms (4.8% of total)

ival-e: 3.0ms (3.6% of total)

ival-exp: 2.0ms (2.4% of total)

ival-sqrt: 2.0ms (2.4% of total)

ival-pi: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.3%)

Memory

-28.0MiB live, 89.2MiB allocated

Counts

23 → 456

Calls

Call 1

Inputs
#<alt (* (/ 1/8 (* s (PI))) (+ (/ (pow (E) (/ (* r -1/3) s)) r) (/ (exp (/ r (neg s))) r)))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (* s (PI))>
#<alt (PI)>
#<alt (/ 1/4 (* (* (PI) r) s))>
#<alt (* (* (PI) r) s)>
#<alt (* (PI) r)>
#<alt (* (* (* s r) (sqrt (PI))) (sqrt (PI)))>
#<alt (/ 1/4 (* (* (* s r) (sqrt (PI))) (sqrt (PI))))>
#<alt (* (* s r) (sqrt (PI)))>
#<alt (* s r)>
#<alt (* (* r r) (/ (+ (* r (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/ 1/4 (PI))) (* r (* r r))))>
#<alt (+ (* r (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/ 1/4 (PI)))>
#<alt (/ (* (* r r) (/ (+ (* r (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/ 1/4 (PI))) (* r (* r r)))) s)>
#<alt (* r r)>
#<alt (+ (* (/ 1/6 (* s (PI))) (/ 3/4 r)) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))))>
#<alt (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s))))>
#<alt (/ 1/6 (* s (PI)))>
#<alt (* r -1/3)>
#<alt (/ (* r -1/3) s)>
#<alt (/ (+ (* r (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/ 1/4 (PI))) (* r (* r r)))>
#<alt (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))>
#<alt (* (PI) (* r s))>

Outputs
#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ (* r (log (E))) s))) r)) (* s (PI))))>
#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ (* r (log (E))) s))) r)) (* s (PI))))>
#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ (* r (log (E))) s))) r)) (* s (PI))))>
#<alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ (* r (log (E))) s))) r)) (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (+ (* 1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI)))))) s)>
#<alt (/ (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (* (pow r 2) (pow (log (E)) 3)) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI))))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/8 (/ (+ (* 1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/3 (/ (log (E)) (PI))) (/ 1 (PI)))) (* 1/8 (/ (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI)))) s))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (* (pow r 2) (pow (log (E)) 3)) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* -1/8 (+ (* 1/3 (/ (log (E)) (PI))) (/ 1 (PI))))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (+ (* 1/8 (* r (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (+ (* 1/8 (* r (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI))))))) (* 1/8 (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (+ (* 1/8 (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))) (* r (+ (* 1/8 (* r (- (* -1/162 (/ (pow (log (E)) 3) (* (pow s 4) (PI)))) (* 1/6 (/ 1 (* (pow s 4) (PI))))))) (* 1/8 (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI)))))))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ (* r (log (E))) s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ (* r (log (E))) s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ (* r (log (E))) s)))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ (* r (log (E))) s)))) (* r (* s (PI)))))>
#<alt (* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ (* r (log (E))) s))))) (* r (* s (PI)))))>
#<alt (* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ (* r (log (E))) s))))) (* r (* s (PI)))))>
#<alt (* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ (* r (log (E))) s))))) (* r (* s (PI)))))>
#<alt (* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ (* r (log (E))) 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 (/ 1/4 (* r (* s (PI))))>
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#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r))>
#<alt (/ 5/72 (* r (* (pow s 2) (PI))))>
#<alt (/ (+ (* -1/6 (/ s (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* r (PI))))) (pow s 2))>
#<alt (/ (+ (* s (- (* 1/4 (/ s (* (pow r 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (PI)))))) (* 5/72 (/ 1 (* r (PI))))) (pow s 2))>
#<alt (/ (+ (* s (- (* 1/4 (/ s (* (pow r 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (PI)))))) (* 5/72 (/ 1 (* r (PI))))) (pow s 2))>
#<alt (/ 1/4 (* (pow r 3) (PI)))>
#<alt (- (* 1/4 (/ 1 (* (pow r 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))>
#<alt (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (PI))))) (/ 1/6 (* (pow r 2) (* s (PI)))))>
#<alt (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (PI))))) (/ 1/6 (* (pow r 2) (* s (PI)))))>
#<alt (/ 1/4 (* (pow r 3) (PI)))>
#<alt (- (* 1/4 (/ 1 (* (pow r 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))>
#<alt (+ (* -1 (/ (- (* 1/6 (/ 1 (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* r (* s (PI)))))) s)) (* 1/4 (/ 1 (* (pow r 3) (PI)))))>
#<alt (+ (* -1 (/ (- (* 1/6 (/ 1 (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* r (* s (PI)))))) s)) (* 1/4 (/ 1 (* (pow r 3) (PI)))))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))>
#<alt (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))>
#<alt (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))>
#<alt (* 5/72 (/ r (* (pow s 2) (PI))))>
#<alt (* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))>
#<alt (* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))>
#<alt (* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))>
#<alt (* 5/72 (/ r (* (pow s 2) (PI))))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))>
#<alt (* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))>
#<alt (* 5/72 (/ r (* (pow s 2) (PI))))>
#<alt (/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))>
#<alt (/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)>
#<alt (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)>
#<alt (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)>
#<alt (/ -1/6 (* s (PI)))>
#<alt (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))>
#<alt (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))>
#<alt (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>

Calls

114 calls:

Time	Variable		Point	Expression
14.0ms	s	@	0	(/ 1/6 (* s (PI)))
6.0ms	s	@	-inf	(* (/ 1/8 (* s (PI))) (+ (/ (pow (E) (/ (* r -1/3) s)) r) (/ (exp (/ r (neg s))) r)))
2.0ms	r	@	-inf	(* (/ 1/8 (* s (PI))) (+ (/ (pow (E) (/ (* r -1/3) s)) r) (/ (exp (/ r (neg s))) r)))
1.0ms	s	@	inf	(* (/ 1/8 (* s (PI))) (+ (/ (pow (E) (/ (* r -1/3) s)) r) (/ (exp (/ r (neg s))) r)))
1.0ms	r	@	inf	(* (/ 1/8 (* s (PI))) (+ (/ (pow (E) (/ (* r -1/3) s)) r) (/ (exp (/ r (neg s))) r)))

rewrite628.0ms (4.5%)

Memory

-156.7MiB live, 698.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 070×	`-lowering-.f32`
4 070×	`-lowering-.f64`
3 918×	`/-lowering-/.f32`
3 918×	`/-lowering-/.f64`
3 144×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	244
1	322	243
2	3088	231
0	8200	221

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 638

Calls

Call 1

Inputs
(* (/ 1/8 (* s (PI))) (+ (/ (pow (E) (/ (* r -1/3) s)) r) (/ (exp (/ r (neg s))) r)))
(/ 1/8 (* s (PI)))
(* s (PI))
(PI)
(/ 1/4 (* (* (PI) r) s))
(* (* (PI) r) s)
(* (PI) r)
(* (* (* s r) (sqrt (PI))) (sqrt (PI)))
(/ 1/4 (* (* (* s r) (sqrt (PI))) (sqrt (PI))))
(* (* s r) (sqrt (PI)))
(* s r)
(* (* r r) (/ (+ (* r (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/ 1/4 (PI))) (* r (* r r))))
(+ (* r (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/ 1/4 (PI)))
(/ (* (* r r) (/ (+ (* r (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/ 1/4 (PI))) (* r (* r r)))) s)
(* r r)
(+ (* (/ 1/6 (* s (PI))) (/ 3/4 r)) (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))))
(* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s))))
(/ 1/6 (* s (PI)))
(* r -1/3)
(/ (* r -1/3) s)
(/ (+ (* r (+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))) (/ 1/4 (PI))) (* r (* r r)))
(+ (* r (/ 5/72 (* s (* s (PI))))) (/ -1/6 (* s (PI))))
(* (PI) (* r s))

Outputs
(+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (.f32 (.f32 s (PI.f32)) r) #s(literal 8 binary32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(+.f32 (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (.f32 (*.f32 s (PI.f32)) r) #s(literal 8 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 (.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s)))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 s (PI.f32)) r)) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) 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 (.f32 r #s(literal -1/3 binary32)) s)) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (.f32 (.f32 s (PI.f32)) r) #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 (neg.f32 r) s)) r)) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) 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 (.f32 r #s(literal -1/3 binary32)) s)) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (.f32 (*.f32 s (PI.f32)) r) #s(literal 8 binary32))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (.f32 (.f32 s (PI.f32)) r) #s(literal 8 binary32))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) r) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (.f32 (*.f32 s (PI.f32)) r) #s(literal 8 binary32))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s (PI.f32)) r)) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s (PI.f32)) r)) (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 s (PI.f32)) r)) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) s) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (.f32 s r)) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (PI.f32) r)) (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 s r)) (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 s (.f32 r (sqrt.f32 (PI.f32))))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 s (.f32 r (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) r) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (.f32 (.f32 s (PI.f32)) r) #s(literal 8 binary32))))
(fma.f32 (.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s))) (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (.f32 (.f32 s (PI.f32)) r) #s(literal 8 binary32))))
(fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))))
(-.f32 (/.f32 (/.f32 (/.f32 (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r r)) (/.f32 (-.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s))) r)) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))) (/.f32 (/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (.f32 r r)) (/.f32 (-.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s))) r)) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))))
(-.f32 (/.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))) #s(literal 2 binary32)) (/.f32 (-.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1 binary32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))))) (/.f32 (.f32 (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 (.f32 s (PI.f32)) r) (.f32 (.f32 s (PI.f32)) r))) (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s)))) (/.f32 (-.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1 binary32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 s (PI.f32)) (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s)))))))
(/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s))))) (.f32 s (PI.f32)))
(/.f32 (.f32 #s(literal 1/8 binary32) (fma.f32 r (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (exp.f32 (/.f32 (neg.f32 r) s))))) (.f32 (.f32 s (PI.f32)) (.f32 r r)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s) #s(literal 3 binary32))) (.f32 r (.f32 r r))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (.f32 r (.f32 r r))))) (.f32 (.f32 s (PI.f32)) (+.f32 (/.f32 (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r r)) (/.f32 (-.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 (neg.f32 r) s)))) (.f32 r r)))))
(/.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s)))) (.f32 r r))) (.f32 (.f32 s (PI.f32)) (/.f32 (-.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s))) r)))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 r (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r (exp.f32 (/.f32 (neg.f32 r) s))))) (.f32 (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)) (*.f32 r r)))
(/.f32 (.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s) #s(literal 3 binary32))) (.f32 r (.f32 r r))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))) (.f32 r (.f32 r r))))) (.f32 (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)) (+.f32 (/.f32 (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (.f32 r r)) (/.f32 (-.f32 (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 (neg.f32 r) s)))) (*.f32 r r)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s)))) (.f32 r r))) (.f32 (.f32 (.f32 s (PI.f32)) #s(literal 8 binary32)) (/.f32 (-.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s))) r)))
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(.f32 (-.f32 (/.f32 (.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 r #s(literal 5/72 binary32))) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 s (PI.f32)) (.f32 s (PI.f32))))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 r (/.f32 #s(literal 5/72 binary32) s)) #s(literal -1/6 binary32)) (.f32 s (PI.f32)))))
(.f32 s (.f32 (PI.f32) r))
(.f32 (PI.f32) (.f32 s r))
(.f32 (.f32 s (PI.f32)) r)
(.f32 r (.f32 s (PI.f32)))
(.f32 (.f32 (PI.f32) r) s)
(.f32 (.f32 s r) (PI.f32))
(.f32 (sqrt.f32 (PI.f32)) (.f32 s (*.f32 r (sqrt.f32 (PI.f32)))))
(.f32 (.f32 s (*.f32 r (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(.f32 #s(literal 1 binary32) (.f32 (*.f32 s (PI.f32)) r))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 s r)))
(.f32 (.f32 (*.f32 s r) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (*.f32 s r) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) s) (*.f32 r (sqrt.f32 (PI.f32))))

simplify621.0ms (4.4%)

Memory

0.0MiB live, 728.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 678×	`accelerator-lowering-fma.f32`
9 678×	`accelerator-lowering-fma.f64`
5 092×	`-lowering-.f32`
5 092×	`-lowering-.f64`
4 380×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	421	4907
1	1273	4736
2	3525	4574
0	8761	4473

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ (* r (log (E))) s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ (* r (log (E))) s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ (* r (log (E))) s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ (* r (log (E))) s))) r)) (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* 1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI))))) s)
(/ (+ (* 1/8 (/ (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI)))))) s)
(/ (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (* (pow r 2) (pow (log (E)) 3)) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI))))))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/8 (/ (+ (* 1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/3 (/ (log (E)) (PI))) (/ 1 (PI)))) (* 1/8 (/ (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI)))) s))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (* (pow r 2) (pow (log (E)) 3)) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* -1/8 (+ (* 1/3 (/ (log (E)) (PI))) (/ 1 (PI))))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* 1/8 (* r (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (+ (* 1/8 (* r (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI))))))) (* 1/8 (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (+ (* 1/8 (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))) (* r (+ (* 1/8 (* r (- (* -1/162 (/ (pow (log (E)) 3) (* (pow s 4) (PI)))) (* 1/6 (/ 1 (* (pow s 4) (PI))))))) (* 1/8 (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI)))))))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ (* r (log (E))) s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ (* r (log (E))) s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ (* r (log (E))) s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ (* r (log (E))) s)))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ (* r (log (E))) s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ (* r (log (E))) s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ (* r (log (E))) s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ (* r (log (E))) 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))
(/ 1/4 (* 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))))
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(/ 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)))
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(* r (* s (PI)))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
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(* r (* s (PI)))
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(* r (* s (PI)))
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(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* 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) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
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(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
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(* r s)
(* r s)
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(/ 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 (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(* 5/72 (/ r (* (pow s 2) (PI))))
(* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(* r (- (+ (/ 1/4 (* (pow r 2) (PI))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) (/ 1/6 (* r (* s (PI))))))
(* r (- (+ (/ 1/4 (* (pow r 2) (PI))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) (/ 1/6 (* r (* s (PI))))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 2))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 2))
(/ 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))))
(- (+ (* 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 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(/ 1/4 (PI))
(+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI))))
(+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI))))
(+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI))))
(* 5/72 (/ (pow r 2) (* (pow s 2) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(* (pow r 2) (- (+ (/ 1/4 (* (pow r 2) (PI))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) (/ 1/6 (* r (* s (PI))))))
(* (pow r 2) (- (+ (/ 1/4 (* (pow r 2) (PI))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) (/ 1/6 (* r (* s (PI))))))
(* 5/72 (/ (pow r 2) (* (pow s 2) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(* (pow r 2) (+ (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))))
(* (pow r 2) (+ (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))))
(* 5/72 (/ (pow r 2) (* (pow s 2) (PI))))
(/ (+ (* -1/6 (/ (* r s) (PI))) (* 5/72 (/ (pow r 2) (PI)))) (pow s 2))
(/ (+ (* 5/72 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ r (PI))) (* 1/4 (/ s (PI)))))) (pow s 2))
(/ (+ (* 5/72 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ r (PI))) (* 1/4 (/ s (PI)))))) (pow s 2))
(/ 1/4 (PI))
(+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI))))
(+ (* -1/6 (/ r (* s (PI)))) (+ (* 5/72 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI)))))
(+ (* -1/6 (/ r (* s (PI)))) (+ (* 5/72 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI)))))
(/ 1/4 (PI))
(+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI))))
(+ (* -1 (/ (+ (* -5/72 (/ (pow r 2) (* s (PI)))) (* 1/6 (/ r (PI)))) s)) (* 1/4 (/ 1 (PI))))
(+ (* -1 (/ (+ (* -5/72 (/ (pow r 2) (* s (PI)))) (* 1/6 (/ r (PI)))) s)) (* 1/4 (/ 1 (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 (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 5/72 (/ r (* (pow s 3) (PI))))
(* r (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(* r (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(* r (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(* 5/72 (/ r (* (pow s 3) (PI))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* 5/72 (/ r (* (pow s 3) (PI))))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 3))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 3))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 3))
(/ 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)
(/ (- (+ (* 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 (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 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)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (PI))))) r))
(* -1 (/ (- (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (PI))))) r))
(* -1 (/ (- (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (PI))))) r))
(* -1 (/ (- (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (PI))))) r))
(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 4) (PI)))) (* 1/16 (/ 1 (* (pow s 3) (PI)))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (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))
(/ 1/6 (* s (PI)))
(/ 1/6 (* s (PI)))
(/ 1/6 (* s (PI)))
(/ 1/6 (* s (PI)))
(/ 1/6 (* s (PI)))
(/ 1/6 (* s (PI)))
(/ 1/6 (* s (PI)))
(/ 1/6 (* s (PI)))
(/ 1/6 (* s (PI)))
(/ 1/6 (* s (PI)))
(/ 1/6 (* s (PI)))
(/ 1/6 (* s (PI)))
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(/ 1/4 (* (pow r 3) (PI)))
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) (pow r 3))
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) (pow r 3))
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) (pow r 3))
(/ 5/72 (* r (* (pow s 2) (PI))))
(/ (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))) r)
(/ (- (+ (/ 1/4 (* (pow r 2) (PI))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) (/ 1/6 (* r (* s (PI))))) r)
(/ (- (+ (/ 1/4 (* (pow r 2) (PI))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) (/ 1/6 (* r (* s (PI))))) r)
(/ 5/72 (* r (* (pow s 2) (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r))
(/ 5/72 (* r (* (pow s 2) (PI))))
(/ (+ (* -1/6 (/ s (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* r (PI))))) (pow s 2))
(/ (+ (* s (- (* 1/4 (/ s (* (pow r 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (PI)))))) (* 5/72 (/ 1 (* r (PI))))) (pow s 2))
(/ (+ (* s (- (* 1/4 (/ s (* (pow r 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (PI)))))) (* 5/72 (/ 1 (* r (PI))))) (pow s 2))
(/ 1/4 (* (pow r 3) (PI)))
(- (* 1/4 (/ 1 (* (pow r 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))
(- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (PI))))) (/ 1/6 (* (pow r 2) (* s (PI)))))
(- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (PI))))) (/ 1/6 (* (pow r 2) (* s (PI)))))
(/ 1/4 (* (pow r 3) (PI)))
(- (* 1/4 (/ 1 (* (pow r 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))
(+ (* -1 (/ (- (* 1/6 (/ 1 (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* r (* s (PI)))))) s)) (* 1/4 (/ 1 (* (pow r 3) (PI)))))
(+ (* -1 (/ (- (* 1/6 (/ 1 (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* r (* s (PI)))))) s)) (* 1/4 (/ 1 (* (pow r 3) (PI)))))
(/ -1/6 (* s (PI)))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(* r (- (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (* s (PI)))))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 2))
(/ -1/6 (* s (PI)))
(/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)
(/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)
(/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)
(/ -1/6 (* s (PI)))
(* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))
(* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))
(* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))

Outputs
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ (* r (log (E))) 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 (.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ (* r (log (E))) 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 (.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ (* r (log (E))) 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 (.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ (* r (log (E))) 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 (.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32)))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ (+ (* 1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI))))) s)
(-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal 1/6 binary32) (.f32 s (.f32 s (PI.f32)))))
(/ (+ (* 1/8 (/ (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI)))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/9 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) (pow (log (E)) 3)) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/8 (/ (- (* -1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI))))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (.f32 (/.f32 (.f32 r r) (PI.f32)) #s(literal -14/81 binary32)) (.f32 s (.f32 s s))) (/.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/9 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)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(* -1 (/ (- (* 1/8 (/ (+ (* 1/3 (/ (log (E)) (PI))) (/ 1 (PI))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) s) (/.f32 #s(literal -1/4 binary32) (.f32 r (PI.f32)))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/3 (/ (log (E)) (PI))) (/ 1 (PI)))) (* 1/8 (/ (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI)))) s))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/9 binary32)) s) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) s)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ (* r (pow (log (E)) 2)) (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (* (pow r 2) (pow (log (E)) 3)) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* -1/8 (+ (* 1/3 (/ (log (E)) (PI))) (/ 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 (.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) 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 r (.f32 s (PI.f32))))
(/ (+ (* 1/8 (* r (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 s (PI.f32)))) #s(literal -4/3 binary32)) (.f32 #s(literal 1/8 binary32) r) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (+ (* 1/8 (* r (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI))))))) (* 1/8 (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 s (PI.f32)))) #s(literal -4/3 binary32)) (/.f32 (.f32 r #s(literal 5/72 binary32)) (.f32 (PI.f32) (.f32 s (.f32 s s))))) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32)))) r)
(/ (+ (* r (+ (* 1/8 (- (* -1/3 (/ (log (E)) (* (pow s 2) (PI)))) (/ 1 (* (pow s 2) (PI))))) (* r (+ (* 1/8 (* r (- (* -1/162 (/ (pow (log (E)) 3) (* (pow s 4) (PI)))) (* 1/6 (/ 1 (* (pow s 4) (PI))))))) (* 1/8 (+ (* 1/18 (/ (pow (log (E)) 2) (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI)))))))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 s (.f32 s (PI.f32)))) #s(literal -4/3 binary32) (.f32 (fma.f32 r (/.f32 #s(literal -14/81 binary32) (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/9 binary32) (.f32 (PI.f32) (.f32 s (.f32 s s))))) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ (* r (log (E))) s)))) (* r (* s (PI)))))
(/.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 r (.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ (* r (log (E))) s)))) (* r (* s (PI)))))
(/.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 r (.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ (* r (log (E))) s)))) (* r (* s (PI)))))
(/.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 r (.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ (* r (log (E))) s)))) (* r (* s (PI)))))
(/.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 r (.f32 s (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ (* r (log (E))) s))))) (* r (* s (PI)))))
(/.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 r (.f32 s (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ (* r (log (E))) s))))) (* r (* s (PI)))))
(/.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 r (.f32 s (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ (* r (log (E))) s))))) (* r (* s (PI)))))
(/.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 r (.f32 s (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ (* r (log (E))) s))))) (* r (* s (PI)))))
(/.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 r (.f32 s (PI.f32))))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(* 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))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
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eval172.0ms (1.2%)

Memory: 16.7MiB live, 287.6MiB allocated
Compiler: Compiled 39 389 to 3 852 computations (90.2% saved)

prune281.0ms (2%)

Memory

6.3MiB live, 562.4MiB allocated

Pruning

82 alts after pruning (73 fresh and 9 done)

	Pruned	Kept	Total
New	1 475	43	1 518
Fresh	18	30	48
Picked	0	5	5
Done	0	4	4
Total	1 493	82	1 575

Accuracy

99.8%

Counts

1 575 → 82

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(fma.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	7.7%	(fma.f32 (/.f32 (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 (.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (.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 (/.f32 (/.f32 #s(literal 1/6 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 3/4 binary32) r) (.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 binary32) (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	7.5%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (.f32 (.f32 s (PI.f32)) r) #s(literal 8 binary32))))
	7.5%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 s r)) (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (.f32 (.f32 s (PI.f32)) r) #s(literal 8 binary32))))
	7.4%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 3/4 binary32) r) (.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 s (PI.f32))) (/.f32 #s(literal 3/4 binary32) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	7.5%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (/.f32 #s(literal 3/4 binary32) r) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (.f32 (*.f32 s (PI.f32)) r) #s(literal 8 binary32))))
	7.5%	(fma.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 (/.f32 #s(literal 3/4 binary32) r) (PI.f32)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (.f32 (*.f32 s (PI.f32)) r) #s(literal 8 binary32))))
	7.4%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s (PI.f32)) r)) (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 s (PI.f32)) r)))
	7.4%	(fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/6 binary32) s)) (/.f32 #s(literal 3/4 binary32) r) (.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	7.5%	(fma.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 3/4 binary32) r) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (.f32 (.f32 s (PI.f32)) r) #s(literal 8 binary32))))
	7.5%	(fma.f32 #s(literal 1/6 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 3/4 binary32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (.f32 (.f32 (*.f32 s (PI.f32)) r) #s(literal 8 binary32))))
	7.5%	(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (.f32 s (PI.f32)) r) (.f32 r (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))))) (.f32 r (.f32 (.f32 s (PI.f32)) r)))
	7.3%	(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) r) (.f32 (.f32 s (PI.f32)) r) (.f32 (.f32 s (PI.f32)) (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))))) (.f32 (.f32 s (PI.f32)) (.f32 (*.f32 s (PI.f32)) r)))
	7.3%	(/.f32 (fma.f32 (.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 s (PI.f32)) r) (.f32 (.f32 (.f32 s (PI.f32)) r) #s(literal 1/8 binary32))) (.f32 (.f32 (.f32 s (PI.f32)) r) (.f32 (*.f32 s (PI.f32)) r)))
	7.0%	(/.f32 (fma.f32 (PI.f32) (.f32 r #s(literal -1/6 binary32)) (.f32 (.f32 s (PI.f32)) #s(literal 1/4 binary32))) (.f32 s (.f32 (PI.f32) (.f32 s (*.f32 (PI.f32) r)))))
	7.4%	(/.f32 (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (.f32 s (.f32 s s)))
	7.5%	(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r)
	7.5%	(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s)
	7.3%	(/.f32 (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (/.f32 (.f32 r (.f32 r #s(literal -7/324 binary32))) (PI.f32))) (.f32 s (.f32 s s))) s)
	7.4%	(/.f32 (/.f32 (fma.f32 r (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) r (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r) s)
	7.2%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
	7.2%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
	99.4%	(/.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s))))) (PI.f32)) s)
	7.0%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 s (.f32 (PI.f32) r))) (fma.f32 (PI.f32) (.f32 r #s(literal -1/6 binary32)) (.f32 (.f32 s (PI.f32)) #s(literal 1/4 binary32))))) s)
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s)
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32))
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (.f32 s (.f32 r (sqrt.f32 (PI.f32)))))
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r))
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r))
	7.2%	(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
	7.4%	(/.f32 (+.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
	7.3%	(/.f32 (+.f32 (/.f32 (.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
✓	7.0%	(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
	98.3%	(/.f32 (.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (.f32 r (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)))) #s(literal 1/8 binary32)) (.f32 (PI.f32) (.f32 s (.f32 r r))))
	6.9%	(/.f32 (.f32 (/.f32 (-.f32 (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s)))) (.f32 r r)) #s(literal 1/8 binary32)) (.f32 (/.f32 (-.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s))) r) (*.f32 s (PI.f32))))
✓	7.4%	(/.f32 (.f32 (.f32 r r) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (.f32 r (*.f32 r r)))) s)
	7.2%	(/.f32 (.f32 (.f32 r r) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (.f32 r (.f32 r r)))) s)
	7.3%	(/.f32 (.f32 (.f32 r r) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 r (.f32 s (PI.f32)))))) r)) s)
	7.2%	(/.f32 (.f32 (.f32 r r) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (.f32 r (*.f32 r r))))) s)
	7.2%	(/.f32 (.f32 (.f32 r r) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 r (*.f32 r (PI.f32)))))) s)
	5.8%	(/.f32 (.f32 (.f32 r r) (+.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 r (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 r (PI.f32))))) r) (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 (PI.f32) (*.f32 s s)))))) s)
	5.8%	(/.f32 (.f32 r (.f32 r (-.f32 (/.f32 #s(literal -7/324 binary32) (.f32 s (.f32 (PI.f32) (.f32 s s)))) (/.f32 (-.f32 (/.f32 #s(literal -5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 r (PI.f32)))) (/.f32 #s(literal 1/6 binary32) (.f32 r (*.f32 s (PI.f32)))))) r)))) s)
	99.4%	(/.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 r (.f32 s (PI.f32))))
	7.2%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
	7.2%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r))))
	7.2%	(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))
	7.3%	(/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 (fma.f32 (.f32 r r) (/.f32 #s(literal -7/324 binary32) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 5/72 binary32)) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))))))
	7.0%	(/.f32 #s(literal 1 binary32) (/.f32 s (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32))))))
	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) s) r) (sqrt.f32 (PI.f32))))
✓	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r (sqrt.f32 (PI.f32))) s) (sqrt.f32 (PI.f32))))
	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (sqrt.f32 (PI.f32)) s) (*.f32 r (sqrt.f32 (PI.f32)))))
✓	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) s))
✓	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	7.2%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
	7.4%	(-.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)))
	6.9%	(-.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)))))
	6.2%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (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))
	6.4%	(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (.f32 s (PI.f32)))))
	99.6%	(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 (pow.f32 (E.f32) (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	7.2%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
	7.2%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (.f32 s (*.f32 r (sqrt.f32 (PI.f32))))))
	7.2%	(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (.f32 s r)))
	7.2%	(.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)))
	7.0%	(.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (+.f32 (/.f32 (pow.f32 (E.f32) (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	99.4%	(.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 (E.f32) (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	99.5%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (exp.f32 (log.f32 (PI.f32))))) (+.f32 (/.f32 (pow.f32 (E.f32) (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	6.2%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/162 binary32) (/.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)))
	7.7%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (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)))
✓	99.6%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (E.f32) (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓	99.4%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	7.5%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	99.4%	(.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s)))))
	99.6%	(.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) #s(literal 3/4 binary32)) (+.f32 (/.f32 (pow.f32 (E.f32) (/.f32 (.f32 r #s(literal -1/3 binary32)) s)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
	5.8%	(.f32 r (.f32 (.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 r (.f32 s s)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (PI.f32) r) (.f32 r r))) (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s (.f32 r r)))) (/.f32 #s(literal -7/324 binary32) (.f32 (PI.f32) (.f32 s (*.f32 s s)))))))) (/.f32 #s(literal 1 binary32) s)))

Compiler

Compiled 5 061 to 1 839 computations (63.7% saved)

regimes136.0ms (1%)

Memory

-6.7MiB live, 180.4MiB allocated

Counts

139 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

39.0ms

37.0ms

30.0ms

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

Results

Accuracy	Segments	Branch
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)

regimes132.0ms (0.9%)

Memory

1.7MiB live, 158.6MiB allocated

Counts

116 → 1

Calls

Call 1

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

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

Calls

3 calls:

67.0ms

33.0ms

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)

regimes99.0ms (0.7%)

Memory

-2.7MiB live, 174.6MiB allocated

Counts

111 → 1

Calls

Call 1

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

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

Calls

3 calls:

34.0ms

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

31.0ms

30.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`s`
99.4%	1	`r`
99.4%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes92.0ms (0.7%)

Memory

13.6MiB live, 211.0MiB allocated

Counts

107 → 1

Calls

Call 1

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

Outputs
(/.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 r (.f32 s (PI.f32))))

Calls

3 calls:

31.0ms

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
99.4%	1	`s`
99.4%	1	`r`
99.4%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes97.0ms (0.7%)

Memory

-18.9MiB live, 176.9MiB allocated

Counts

100 → 1

Calls

Call 1

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

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

Calls

3 calls:

42.0ms

29.0ms

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
99.4%	1	`s`
99.4%	1	`r`
99.4%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes135.0ms (1%)

Memory

-11.1MiB live, 113.6MiB allocated

Counts

98 → 1

Calls

Call 1

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

Calls

3 calls:

53.0ms

42.0ms

(+.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)))

37.0ms

Results

Accuracy	Segments	Branch
7.7%	1	`s`
7.7%	1	`r`
7.7%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes77.0ms (0.5%)

Memory

-4.3MiB live, 150.5MiB allocated

Counts

90 → 1

Calls

Call 1

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

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

Calls

3 calls:

25.0ms

24.0ms

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
7.5%	1	`r`
7.5%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
7.5%	1	`s`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes58.0ms (0.4%)

Memory

35.7MiB live, 109.8MiB allocated

Counts

71 → 1

Calls

Call 1

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

Outputs

(/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)

Calls

3 calls:

21.0ms

20.0ms

15.0ms

(+.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
7.4%	1	`s`
7.4%	1	`r`
7.4%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes44.0ms (0.3%)

Memory

4.3MiB live, 86.4MiB allocated

Counts

51 → 1

Calls

Call 1

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

Outputs
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))

Calls

3 calls:

16.0ms

15.0ms

11.0ms

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

Results

Accuracy	Segments	Branch
7.4%	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)))`
7.4%	1	`s`
7.4%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes37.0ms (0.3%)

Memory

-6.9MiB live, 68.8MiB allocated

Counts

44 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms

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
7.2%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
7.2%	1	`s`
7.2%	1	`r`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes32.0ms (0.2%)

Memory

-22.7MiB live, 57.1MiB allocated

Counts

35 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms

9.0ms

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

Results

Accuracy	Segments	Branch
7.2%	1	`s`
7.2%	1	`r`
7.2%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes14.0ms (0.1%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms

4.0ms

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

Results

Accuracy	Segments	Branch
7.2%	1	`s`
7.2%	1	`r`
7.2%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes6.0ms (0%)

Memory

-27.1MiB live, 11.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms

1.0ms

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

Results

Accuracy	Segments	Branch
7.2%	1	`s`
7.2%	1	`r`
7.2%	1	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify12.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary32`
20×	`+-commutative_binary32`
6×	`neg-sub0_binary32`
6×	`neg-mul-1_binary32`
6×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	235
1	105	235
2	111	235
3	116	235
4	119	235
5	120	235

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.5s (10.4%)

Memory

24.5MiB live, 1 365.0MiB allocated

Rules

14 624×	`accelerator-lowering-fma.f32`
14 624×	`accelerator-lowering-fma.f64`
13 680×	`accelerator-lowering-fma.f32`
13 680×	`accelerator-lowering-fma.f64`
9 678×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	1900
1	756	1845
2	2113	1788
3	5949	1788
0	8220	1755
0	54	293
1	351	285
2	4133	279
0	8402	275
0	52	244
1	322	243
2	3088	231
0	8200	221
0	25	90
1	124	79
2	1295	71
0	9446	71
0	392	5043
1	1165	4959
2	3272	4858
0	8718	4734
0	605	7007
1	1829	6787
2	5210	6742
0	8154	6575
0	421	4907
1	1273	4736
2	3525	4574
0	8761	4473
0	68	340
1	407	304
2	4971	304
0	8178	298

Stop Event

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

Compiler

Compiled 614 to 351 computations (42.8% saved)

preprocess144.0ms (1%)

Memory: -33.8MiB live, 232.8MiB allocated
Compiler: Compiled 544 to 194 computations (64.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze71.0ms (0.5%)

sample2.5s (17.5%)

preprocess309.0ms (2.2%)

explain459.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify403.0ms (2.9%)

localize82.0ms (0.6%)

series72.0ms (0.5%)

rewrite587.0ms (4.2%)

simplify506.0ms (3.6%)

eval64.0ms (0.5%)

prune112.0ms (0.8%)

simplify265.0ms (1.9%)

localize237.0ms (1.7%)

series54.0ms (0.4%)

rewrite374.0ms (2.7%)

simplify404.0ms (2.9%)

eval295.0ms (2.1%)

prune296.0ms (2.1%)

simplify308.0ms (2.2%)

localize200.0ms (1.4%)

series26.0ms (0.2%)

rewrite347.0ms (2.5%)

simplify613.0ms (4.4%)

eval252.0ms (1.8%)

prune285.0ms (2%)

simplify407.0ms (2.9%)

localize215.0ms (1.5%)

series46.0ms (0.3%)

rewrite628.0ms (4.5%)

simplify621.0ms (4.4%)

eval172.0ms (1.2%)

prune281.0ms (2%)

regimes136.0ms (1%)

regimes132.0ms (0.9%)

regimes99.0ms (0.7%)

regimes92.0ms (0.7%)

regimes97.0ms (0.7%)

regimes135.0ms (1%)

regimes77.0ms (0.5%)

regimes58.0ms (0.4%)

regimes44.0ms (0.3%)

regimes37.0ms (0.3%)

regimes32.0ms (0.2%)

regimes14.0ms (0.1%)

regimes6.0ms (0%)

simplify12.0ms (0.1%)

soundness1.5s (10.4%)

preprocess144.0ms (1%)

end0.0ms (0%)

Profiling