Metrics for Disney BSSRDF, PDF of scattering profile

analyze86.0ms (0.8%)

Memory

19.2MiB live, 58.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 49 to 37 computations (24.5% saved)

sample2.9s (26%)

Memory

15.5MiB live, 3 127.5MiB allocated

Samples

2.3s

8 256×

valid

Precisions

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

ival-mult: 735.0ms (39% of total)

ival-exp: 317.0ms (16.8% of total)

ival-div: 286.0ms (15.2% of total)

const: 224.0ms (11.9% of total)

ival-neg: 73.0ms (3.9% of total)

ival-<: 55.0ms (2.9% of total)

ival-add: 50.0ms (2.7% of total)

ival-<=: 50.0ms (2.7% of total)

ival-pi: 36.0ms (1.9% of total)

exact: 32.0ms (1.7% of total)

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

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

Bogosity

preprocess330.0ms (3%)

Memory

36.9MiB live, 391.4MiB 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) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 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)))

explain265.0ms (2.4%)

Memory

-8.4MiB live, 421.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
2	7	(0.013466568663716316 26.197853088378906)	2	(1.6543642686883686e-6 0.00021752520115114748)	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`
1	5	(5.122889845665668e-8 8.927388989832252e-6)	1	(0.0014233103720471263 0.097359299659729)	`(exp.f32 (/.f32 (neg.f32 r) s))`
1	0	-	1	(2.346462451896514e-6 0.00022706390882376581)	`(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))`
0	0	-	0	-	`(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)`
0	0	-	0	-	`(.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s))))`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s)`
0	0	-	0	-	`(*.f32 #s(literal 6 binary32) (PI.f32))`
0	0	-	0	-	`(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))`
0	0	-	0	-	`(neg.f32 r)`
0	0	-	0	-	`s`
0	0	-	0	-	`(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))`
0	0	-	0	-	`(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))`
0	0	-	0	-	`#s(literal 3/4 binary32)`
0	0	-	0	-	`(/.f32 (neg.f32 r) s)`
0	0	-	0	-	`#s(literal 1/4 binary32)`
0	0	-	0	-	`(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)`
0	0	-	0	-	`(*.f32 #s(literal 3 binary32) s)`
0	0	-	0	-	`(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)`
0	0	-	0	-	`#s(literal 6 binary32)`
0	0	-	0	-	`r`
0	0	-	0	-	`#s(literal 3 binary32)`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))`	sensitivity	7	4
`exp.f32`	`(exp.f32 (/.f32 (neg.f32 r) s))`	sensitivity	5	6

Confusion

	Predicted +	Predicted -
+	2	0
-	8	246

Precision

0.2

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	8	6	240

Precision?

0.125

Recall?

1.0

Freqs

test

number	freq
0	246
1	8
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

80.0ms

512×

valid

Compiler

Compiled 366 to 104 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 26.0ms (46.7% of total)

ival-div: 13.0ms (23.3% of total)

ival-exp: 8.0ms (14.4% of total)

ival-pi: 2.0ms (3.6% of total)

ival-add: 2.0ms (3.6% of total)

ival-neg: 2.0ms (3.6% of total)

ival-true: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.5%

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify284.0ms (2.6%)

Memory

15.0MiB live, 323.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
✓	cost-diff	160	(/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
✓	cost-diff	224	(/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r))
✓	cost-diff	832	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.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) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32)))))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/.f32 #s(literal 1/8 binary32) (fma.f32 (exp.f32 (/.f32 r s)) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)))
(* 1/4 (exp (/ (neg r) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
1/4
#s(literal 1/4 binary32)
(exp (/ (neg r) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(/ (neg r) s)
(-.f32 #s(literal 0 binary32) (/.f32 r s))
(neg r)
(neg.f32 r)
r
s
(* (* (* 2 (PI)) s) r)
(fma.f32 r (fma.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 0 binary32)) #s(literal 0 binary32))
(* (* 2 (PI)) s)
(fma.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 0 binary32))
(* 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 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))) (/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))))
(* 3/4 (exp (/ (neg r) (* 3 s))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))))
3/4
#s(literal 3/4 binary32)
(exp (/ (neg r) (* 3 s)))
(exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32)))
(/ (neg r) (* 3 s))
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))
(* 3 s)
(fma.f32 s #s(literal 3 binary32) #s(literal 0 binary32))
3
#s(literal 3 binary32)
(* (* (* 6 (PI)) s) r)
(fma.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))
(* (* 6 (PI)) s)
(fma.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 0 binary32))
(* 6 (PI))
(*.f32 (PI.f32) #s(literal 6 binary32))
6
#s(literal 6 binary32)

localize72.0ms (0.7%)

Memory

20.5MiB live, 138.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
✓	accuracy	99.2%	(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
✓	accuracy	99.1%	(.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)

Samples

46.0ms

256×

valid

Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 20.0ms (56.8% of total)

ival-div: 7.0ms (19.9% of total)

ival-exp: 4.0ms (11.4% of total)

ival-pi: 1.0ms (2.8% of total)

ival-add: 1.0ms (2.8% of total)

exact: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

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

series29.0ms (0.3%)

Memory

-30.0MiB live, 45.7MiB 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
5.0ms	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	(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
3.0ms	s	@	0	(* (* (* 6 (PI)) s) r)
2.0ms	r	@	-inf	(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
1.0ms	r	@	0	(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))

rewrite391.0ms (3.6%)

Memory

46.2MiB live, 626.7MiB 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) r))) (pow.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) r))) (pow.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) r)))
(+.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (pow.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 1 binary32) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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)))))
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(/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r)) (*.f32 (PI.f32) #s(literal 6 binary32))) s)
(/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r)) (*.f32 s (PI.f32))) #s(literal 6 binary32))
(/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r)) (*.f32 s #s(literal 6 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) s) (*.f32 (PI.f32) #s(literal 6 binary32)))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (PI.f32)) (*.f32 #s(literal 6 binary32) s))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) #s(literal 6 binary32)) (*.f32 s (PI.f32)))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (*.f32 (PI.f32) #s(literal 6 binary32))) s)
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (*.f32 s (PI.f32))) #s(literal 6 binary32))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (*.f32 s #s(literal 6 binary32))) (PI.f32))
(/.f32 (/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (*.f32 (PI.f32) #s(literal 6 binary32))) r) s)
(.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 (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s))))
(.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/6 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)))) #s(literal 1 binary32))
(.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 (.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 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r))
(.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (pow.f32 (/.f32 #s(literal 4/3 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal -1 binary32)))
(.f32 #s(literal -1 binary32) (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))))))
(.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r))
(.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (*.f32 r s)))) #s(literal 3/4 binary32))
(.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal -1 binary32) r))
(.f32 (/.f32 #s(literal 3/4 binary32) r) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (PI.f32) #s(literal 6 binary32)))))
(.f32 (/.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 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) (.f32 r s)))
(.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 r s)))
(.f32 (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (pow.f32 (/.f32 (.f32 r #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) r) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))
(.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) r))
(.f32 (.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r)) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))))
(.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))))
(.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 r s)))
(.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (pow.f32 (/.f32 (.f32 (.f32 r s) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal -1 binary32)))
(.f32 (pow.f32 (.f32 r #s(literal 4/3 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 s (.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal -1 binary32)) (pow.f32 (*.f32 r #s(literal 4/3 binary32)) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 (PI.f32) #s(literal 6 binary32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal -1 binary32)) (pow.f32 (.f32 (*.f32 r s) #s(literal 4/3 binary32)) #s(literal -1 binary32)))
(.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 4/3 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 (.f32 r s) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal -1 binary32)))
(.f32 (pow.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 -1/2 binary32)) (pow.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 -1/2 binary32)))
(neg.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))
(neg.f32 (*.f32 (/.f32 #s(literal 1/3 binary32) s) r))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 s #s(literal -3 binary32)) r)) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(+.f32 (.f32 (/.f32 #s(literal 1/3 binary32) s) #s(literal 0 binary32)) (/.f32 r (.f32 s #s(literal -3 binary32))))
(pow.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1/3 binary32) s) #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(-.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 (neg.f32 r) (*.f32 s #s(literal 3 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal -3 binary32)) r))
(/.f32 (/.f32 #s(literal 1/3 binary32) s) (/.f32 #s(literal -1 binary32) r))
(/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -3 binary32) r))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 s #s(literal 3 binary32)) r))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(/.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 s r)))
(/.f32 (*.f32 r #s(literal 1/3 binary32)) (neg.f32 s))
(/.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 3 binary32) r))
(/.f32 #s(literal -1/3 binary32) (/.f32 s r))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (/.f32 r (.f32 s #s(literal 3 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 r (.f32 s #s(literal 3 binary32))) (/.f32 r (.f32 s #s(literal 3 binary32))) (.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 r (.f32 s #s(literal 3 binary32))) (/.f32 r (.f32 s #s(literal 3 binary32))))) (+.f32 #s(literal 0 binary32) (/.f32 r (.f32 s #s(literal 3 binary32)))))
(/.f32 (/.f32 r #s(literal -1 binary32)) (*.f32 s #s(literal 3 binary32)))
(/.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 1/3 binary32) s))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 1/3 binary32))
(.f32 #s(literal 1 binary32) (/.f32 r (.f32 s #s(literal -3 binary32))))
(*.f32 (/.f32 #s(literal 1/3 binary32) s) (neg.f32 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 #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 #s(literal 1/3 binary32) (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(.f32 (.f32 r #s(literal 1/3 binary32)) (/.f32 #s(literal -1 binary32) s))
(.f32 (/.f32 #s(literal -1 binary32) s) (.f32 r #s(literal 1/3 binary32)))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(.f32 (pow.f32 (.f32 s #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 3 binary32) r) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 s #s(literal -3 binary32)) r) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal -1/2 binary32)))
(.f32 s (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 #s(literal 2 binary32) (.f32 s (PI.f32)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) s))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(.f32 (.f32 s #s(literal 2 binary32)) (PI.f32))
(neg.f32 (.f32 (.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))
(-.f32 #s(literal 0 binary32) (.f32 (.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))
(/.f32 (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))))
(/.f32 (.f32 (.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) #s(literal -1 binary32))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(.f32 r (neg.f32 (.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
(.f32 (neg.f32 r) (.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))
(.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))
(.f32 (PI.f32) (.f32 #s(literal 6 binary32) (*.f32 r s)))
(.f32 #s(literal 6 binary32) (.f32 (PI.f32) (*.f32 r s)))
(.f32 #s(literal 6 binary32) (.f32 (*.f32 s (PI.f32)) r))
(.f32 (.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 r s))
(.f32 (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))) r)
(.f32 (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)) #s(literal 1 binary32))
(.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))

simplify670.0ms (6.1%)

Memory

-137.8MiB live, 801.0MiB 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 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)))))
(* -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 (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)
(/ 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 r (/.f32 #s(literal -1/8 binary32) (.f32 s (.f32 s (PI.f32)))) (/.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 (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 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 r (/.f32 #s(literal -1/48 binary32) (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s (.f32 s (PI.f32)))))) (/.f32 #s(literal -1/8 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.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 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (.f32 s (PI.f32)))))
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
(+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(/ (- (+ (* -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 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (.f32 s (.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 s (.f32 s (PI.f32))))) (/.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 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (.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 r (/.f32 #s(literal 1/16 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(* -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 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 r (.f32 (/.f32 r (.f32 s (PI.f32))) #s(literal 1/48 binary32)) (fma.f32 #s(literal -1/16 binary32) (/.f32 r (PI.f32)) #s(literal 0 binary32))) s)) (.f32 s s)) (/.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))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* 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 r (/.f32 #s(literal -1/1296 binary32) (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (.f32 s (PI.f32)))))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.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 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)
(/ (- (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/24 (* s (PI)))) s)
(/.f32 (fma.f32 (/.f32 (.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)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (/.f32 (.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)
(* -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))
(* 2 (* s (PI)))
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 s (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))

eval80.0ms (0.7%)

Memory: 26.4MiB live, 203.4MiB allocated
Compiler: Compiled 27 224 to 1 724 computations (93.7% saved)

prune296.0ms (2.7%)

Memory

-15.3MiB live, 331.4MiB allocated

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	668	34	702
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	669	34	703

Accuracy

99.7%

Counts

703 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.8%	(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) (.f32 r s)) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	96.3%	(fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	96.7%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r s)) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	96.7%	(fma.f32 (.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r)) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	61.5%	(/.f32 (fma.f32 (.f32 (.f32 r s) (.f32 (PI.f32) #s(literal -6 binary32))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal -1/4 binary32)) (.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal -3/4 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))))
	99.5%	(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r (.f32 r (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))))) (*.f32 r r))
	8.3%	(/.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)
	10.2%	(/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
	9.0%	(/.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)
	13.8%	(/.f32 (fma.f32 r (.f32 #s(literal 2 binary32) (.f32 s (PI.f32))) (.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))))) (.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (.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))))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 r s)))))
	8.8%	(/.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)
▶	99.5%	(/.f32 (/.f32 (fma.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)) (.f32 r (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))) r) (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
	99.4%	(/.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 (PI.f32) #s(literal 6 binary32)))) (.f32 r s))
	11.7%	(/.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) r))
	10.2%	(/.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 #s(literal 0 binary32) (/.f32 r s))) (.f32 s (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 s (PI.f32))))) r)
▶	99.4%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s)
	97.5%	(/.f32 (neg.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 r (.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))))) (.f32 r (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal -2 binary32)))))
▶	9.3%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
	10.2%	(+.f32 (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	10.2%	(+.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)))))
	11.1%	(+.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 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
▶	99.4%	(+.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))
	11.1%	(+.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 (/.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))
	11.1%	(+.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 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
▶	9.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))))
	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))))
	8.9%	(+.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)))))
	9.0%	(+.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (.f32 #s(literal 3 binary32) s)))) (.f32 (.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
	55.3%	(.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 (.f32 r s) (.f32 (PI.f32) #s(literal -6 binary32))))))
	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 #s(literal 0 binary32) (/.f32 r s))) r)))
	11.7%	(.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (-.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r)))

Compiler

Compiled 2 444 to 1 508 computations (38.3% saved)

simplify895.0ms (8.2%)

Memory

2.7MiB live, 1 393.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	160	(/.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))))
✓	cost-diff	160	(/.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)
✓	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	832	(+.f32 (/.f32 (.f32 #s(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))
✓	cost-diff	0	(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32)))
✓	cost-diff	0	(+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))
✓	cost-diff	0	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32))))) s)
✓	cost-diff	544	(.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (.f32 r (PI.f32)))))
✓	cost-diff	0	(exp.f32 (/.f32 (neg.f32 r) s))
✓	cost-diff	0	(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
✓	cost-diff	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	736	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))))
✓	cost-diff	-32	(*.f32 s (PI.f32))
✓	cost-diff	-32	(.f32 r (.f32 s (PI.f32)))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
✓	cost-diff	0	(/.f32 (fma.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)) (.f32 r (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))) r)
✓	cost-diff	96	(.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))))
✓	cost-diff	160	(/.f32 (/.f32 (fma.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)) (.f32 r (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))) r) (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
✓	cost-diff	800	(fma.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)) (.f32 r (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))))

Rules

34 310×	`accelerator-lowering-fma.f32`
34 310×	`accelerator-lowering-fma.f64`
6 194×	`-lowering-.f32`
6 194×	`-lowering-.f64`
3 236×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	600
1	162	576
2	495	570
3	2046	538
4	3443	538
5	3544	532
6	4147	532
7	4580	532
8	4599	532
9	4619	532
10	5599	532
11	6172	532
0	8111	528

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r) (* s (* (* (PI) 6) r)))
(/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r)
(+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3))))))
(* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI))))
(exp (- 0 (/ r s)))
(- 0 (/ r s))
0
(/ r s)
r
s
(/ 1/8 (* s (PI)))
1/8
(* s (PI))
(PI)
(* s (* (* (PI) 6) r))
(* (* (PI) 6) r)
(* (PI) 6)
6
(* r (* 3/4 (exp (/ r (* s -3)))))
(* 3/4 (exp (/ r (* s -3))))
3/4
(exp (/ r (* s -3)))
(/ r (* s -3))
(* s -3)
-3
(/ 1/4 (* r (* s (PI))))
1/4
(* r (* s (PI)))
r
(* s (PI))
s
(PI)
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* s (PI))))))
(/ (* 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)
(+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
1/8
(* r (* s (PI)))
(* s (PI))
(/ -1/24 (* s (* s (PI))))
-1/24
(* s (* s (PI)))
(/ (* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) s)
(* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))))
1/8
(+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))
(/ (exp (- 0 (/ r s))) (* r (PI)))
(exp (- 0 (/ r s)))
(- 0 (/ r s))
0
(/ r s)
r
s
(* r (PI))
(PI)
(/ (exp (* (/ r s) -1/3)) (* r (PI)))
(exp (* (/ r s) -1/3))
(* (/ r s) -1/3)
-1/3
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) s))
(/ (* 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 (* s -3)))) (* r (* (PI) 6))) s)
(/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6)))
(* 3/4 (exp (/ r (* s -3))))
3/4
(exp (/ r (* s -3)))
(/ r (* s -3))
(* s -3)
-3
(* r (* (PI) 6))
(* (PI) 6)
6

Outputs
(/ (/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r) (* s (* (* (PI) 6) r)))
(/.f32 (fma.f32 r (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))))) (fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (fma.f32 #s(literal 1/8 binary32) (fma.f32 r #s(literal 6 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))) (fma.f32 (fma.f32 r (.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 0 binary32)) (fma.f32 r s #s(literal 0 binary32)) #s(literal 0 binary32)))
(/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r)
(/.f32 (fma.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))))) (fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (fma.f32 #s(literal 1/8 binary32) (fma.f32 r #s(literal 6 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))) r)
(+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3))))))
(fma.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))))) (fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (fma.f32 #s(literal 1/8 binary32) (fma.f32 r #s(literal 6 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)))
(* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (fma.f32 s (PI.f32) #s(literal 0 binary32)) (exp.f32 (/.f32 r s))))
(exp (- 0 (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(- 0 (/ r s))
(-.f32 #s(literal 0 binary32) (/.f32 r s))
0
#s(literal 0 binary32)
(/ r s)
(/.f32 r s)
r
s
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (fma.f32 s (PI.f32) #s(literal 0 binary32)))
1/8
#s(literal 1/8 binary32)
(* s (PI))
(fma.f32 s (PI.f32) #s(literal 0 binary32))
(PI)
(PI.f32)
(* s (* (* (PI) 6) r))
(fma.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))
(* (* (PI) 6) r)
(fma.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 0 binary32))
(* (PI) 6)
(*.f32 (PI.f32) #s(literal 6 binary32))
6
#s(literal 6 binary32)
(* r (* 3/4 (exp (/ r (* s -3)))))
(fma.f32 (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))) (fma.f32 r #s(literal 3/4 binary32) #s(literal 0 binary32)) #s(literal 0 binary32))
(* 3/4 (exp (/ r (* s -3))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))))
3/4
#s(literal 3/4 binary32)
(exp (/ r (* s -3)))
(exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))))
(/ r (* s -3))
(/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))
(* s -3)
(fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))
-3
#s(literal -3 binary32)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))
1/4
#s(literal 1/4 binary32)
(* r (* s (PI)))
(fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))
r
(* s (PI))
(fma.f32 s (PI.f32) #s(literal 0 binary32))
s
(PI)
(PI.f32)
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* s (PI))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32)) (/.f32 #s(literal -1/24 binary32) (fma.f32 s (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/.f32 #s(literal 1/8 binary32) (fma.f32 (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (exp.f32 (/.f32 r s)) #s(literal 0 binary32)))
(* 1/4 (exp (/ (neg r) s)))
(*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(exp (/ (neg r) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(/ (neg r) s)
(-.f32 #s(literal 0 binary32) (/.f32 r s))
(neg r)
(neg.f32 r)
r
s
(* (* (* 2 (PI)) s) r)
(fma.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))
(* (* 2 (PI)) s)
(fma.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 0 binary32))
(* 2 (PI))
(*.f32 (PI.f32) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
(+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* s (PI)))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) (/.f32 #s(literal -1/24 binary32) (fma.f32 s (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))
1/8
#s(literal 1/8 binary32)
(* r (* s (PI)))
(fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))
(* s (PI))
(fma.f32 s (PI.f32) #s(literal 0 binary32))
(/ -1/24 (* s (* s (PI))))
(/.f32 #s(literal -1/24 binary32) (fma.f32 s (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))
-1/24
#s(literal -1/24 binary32)
(* s (* s (PI)))
(fma.f32 s (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))
(/ (* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 r (PI.f32) #s(literal 0 binary32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))))) s)
(* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 r (PI.f32) #s(literal 0 binary32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32)))))
1/8
#s(literal 1/8 binary32)
(+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))
(+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (fma.f32 r (PI.f32) #s(literal 0 binary32))) (/.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))) (fma.f32 r (PI.f32) #s(literal 0 binary32))))
(/ (exp (- 0 (/ r s))) (* r (PI)))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (fma.f32 r (PI.f32) #s(literal 0 binary32)))
(exp (- 0 (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(- 0 (/ r s))
(-.f32 #s(literal 0 binary32) (/.f32 r s))
0
#s(literal 0 binary32)
(/ r s)
(/.f32 r s)
r
s
(* r (PI))
(fma.f32 r (PI.f32) #s(literal 0 binary32))
(PI)
(PI.f32)
(/ (exp (* (/ r s) -1/3)) (* r (PI)))
(/.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))) (fma.f32 r (PI.f32) #s(literal 0 binary32)))
(exp (* (/ r s) -1/3))
(exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32)))
(* (/ r s) -1/3)
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))
-1/3
#s(literal -1/3 binary32)
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) s))
(*.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))))))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/.f32 #s(literal 1/8 binary32) (fma.f32 (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (exp.f32 (/.f32 r s)) #s(literal 0 binary32)))
(* 1/4 (exp (/ (neg r) s)))
(*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(exp (/ (neg r) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(/ (neg r) s)
(-.f32 #s(literal 0 binary32) (/.f32 r s))
(neg r)
(neg.f32 r)
r
s
(* (* (* 2 (PI)) s) r)
(fma.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))
(* (* 2 (PI)) s)
(fma.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 0 binary32))
(* 2 (PI))
(*.f32 (PI.f32) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
(/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) s)
(*.f32 (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))))
(/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6)))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))) (fma.f32 r (PI.f32) #s(literal 0 binary32))))
(* 3/4 (exp (/ r (* s -3))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))))
3/4
#s(literal 3/4 binary32)
(exp (/ r (* s -3)))
(exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))))
(/ r (* s -3))
(/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))
(* s -3)
(fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))
-3
#s(literal -3 binary32)
(* r (* (PI) 6))
(fma.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 0 binary32))
(* (PI) 6)
(*.f32 (PI.f32) #s(literal 6 binary32))
6
#s(literal 6 binary32)

localize250.0ms (2.3%)

Memory

-47.9MiB live, 492.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
✓	accuracy	99.3%	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
✓	accuracy	99.2%	(/.f32 r (*.f32 s #s(literal -3 binary32)))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
✓	accuracy	99.6%	(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
✓	accuracy	99.6%	(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
✓	accuracy	99.1%	(*.f32 r (PI.f32))
✓	accuracy	97.7%	(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
✓	accuracy	99.2%	(/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))
✓	accuracy	98.9%	(*.f32 s (PI.f32))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
✓	accuracy	97.0%	(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.3%	(.f32 r (.f32 s (PI.f32)))
✓	accuracy	99.3%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
✓	accuracy	98.9%	(*.f32 s (PI.f32))
✓	accuracy	99.3%	(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
✓	accuracy	99.2%	(/.f32 r (*.f32 s #s(literal -3 binary32)))
✓	accuracy	99.1%	(.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))
✓	accuracy	98.9%	(*.f32 s (PI.f32))

Samples

117.0ms

256×

valid

Compiler

Compiled 611 to 59 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 27.0ms (35.6% of total)

ival-div: 25.0ms (32.9% of total)

ival-exp: 8.0ms (10.5% of total)

const: 7.0ms (9.2% of total)

ival-add: 5.0ms (6.6% of total)

ival-pi: 1.0ms (1.3% of total)

ival-sub: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series65.0ms (0.6%)

Memory

18.2MiB live, 135.3MiB allocated

Counts

31 → 660

Calls

Call 1

Inputs
#<alt (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3))))))>
#<alt (/ (/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r) (* s (* (* (PI) 6) r)))>
#<alt (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI))))>
#<alt (/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (PI)>
#<alt (* r (* s (PI)))>
#<alt (* s (PI))>
#<alt (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* s (PI))))))>
#<alt (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))>
#<alt (* 1/4 (exp (/ (neg r) s)))>
#<alt (exp (/ (neg r) s))>
#<alt (* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))))>
#<alt (/ (* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) s)>
#<alt (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))>
#<alt (/ (exp (- 0 (/ r s))) (* r (PI)))>
#<alt (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) s))>
#<alt (/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) s)>
#<alt (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6)))>
#<alt (* s (* (* (PI) 6) r))>
#<alt (/ r (* s -3))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* s (PI)))))>
#<alt (* (* 2 (PI)) s)>
#<alt (/ -1/24 (* s (* s (PI))))>
#<alt (* (/ r s) -1/3)>
#<alt (* r (PI))>
#<alt (exp (* (/ r s) -1/3))>
#<alt (exp (- 0 (/ r s)))>
#<alt (* (* (* 2 (PI)) s) r)>
#<alt (exp (/ r (* s -3)))>

Outputs
#<alt (* 3/2 r)>
#<alt (* r (+ 3/2 (* -1 (/ r s))))>
#<alt (* r (+ 3/2 (* r (- (* 5/12 (/ r (pow s 2))) (/ 1 s)))))>
#<alt (* r (+ 3/2 (* r (- (* r (+ (* -7/54 (/ r (pow s 3))) (* 5/12 (/ 1 (pow s 2))))) (/ 1 s)))))>
#<alt (* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))>
#<alt (* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))>
#<alt (* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))>
#<alt (* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))>
#<alt (* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))>
#<alt (* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))>
#<alt (* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))>
#<alt (* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))>
#<alt (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))>
#<alt (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))>
#<alt (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))>
#<alt (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))>
#<alt (* 3/2 r)>
#<alt (+ (* -3/4 (/ (pow r 2) s)) (+ (* -1/4 (/ (pow r 2) s)) (* 3/2 r)))>
#<alt (+ (* -3/4 (/ (pow r 2) s)) (+ (* -1/4 (/ (pow r 2) s)) (+ (* 1/24 (/ (pow r 3) (pow s 2))) (+ (* 3/8 (/ (pow r 3) (pow s 2))) (* 3/2 r)))))>
#<alt (+ (* -3/4 (/ (pow r 2) s)) (+ (* -1/4 (/ (pow r 2) s)) (+ (* -1/8 (/ (pow r 4) (pow s 3))) (+ (* -1/216 (/ (pow r 4) (pow s 3))) (+ (* 1/24 (/ (pow r 3) (pow s 2))) (+ (* 3/8 (/ (pow r 3) (pow s 2))) (* 3/2 r)))))))>
#<alt (* 3/2 r)>
#<alt (+ (* -1 (/ (+ (* 1/4 (pow r 2)) (* 3/4 (pow r 2))) s)) (* 3/2 r))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow r 3)) (* 3/8 (pow r 3))) s)) (+ (* 1/4 (pow r 2)) (* 3/4 (pow r 2)))) s)) (* 3/2 r))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/216 (pow r 4)) (* 1/8 (pow r 4))) s)) (+ (* 1/24 (pow r 3)) (* 3/8 (pow r 3)))) s)) (+ (* 1/4 (pow r 2)) (* 3/4 (pow r 2)))) s)) (* 3/2 r))>
#<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 (* 1/6 (/ (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* 1/6 (/ (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* 1/6 (/ (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* 1/6 (/ (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* -1/6 (/ (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* -1/6 (/ (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* -1/6 (/ (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* -1/6 (/ (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))>
#<alt (* 1/6 (/ (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s)))))) (* (pow r 2) (* s (PI)))))>
#<alt (* 1/6 (/ (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s)))))) (* (pow r 2) (* s (PI)))))>
#<alt (* 1/6 (/ (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s)))))) (* (pow r 2) (* s (PI)))))>
#<alt (* 1/6 (/ (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s)))))) (* (pow r 2) (* s (PI)))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/6 (/ (+ (* 1/24 (/ r (PI))) (* 3/8 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* 1/6 (/ (+ (* -1/8 (/ (pow r 2) (PI))) (* -1/216 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/6 (/ (+ (* 1/24 (/ r (PI))) (* 3/8 (/ 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 (/ (- (* 1/6 (/ (+ (* 1/24 (/ r (PI))) (* 3/8 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/6 (+ (* 1/24 (/ r (PI))) (* 3/8 (/ r (PI))))) (* 1/6 (/ (+ (* 1/216 (/ (pow r 2) (PI))) (* 1/8 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI)))))>
#<alt (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI)))))>
#<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)))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* s (PI))))>
#<alt (* 1/8 (/ (exp (neg (/ r s))) (* s (PI))))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (/ (+ (* -1/8 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)>
#<alt (/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/8 (/ 1 (PI))))) s)>
#<alt (/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/48 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/8 (/ 1 (PI)))))) s)>
#<alt (/ 1/8 (* s (PI)))>
#<alt (* -1 (/ (- (* 1/8 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ r (PI))) (* 1/16 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow r 2) (PI))) (* 1/48 (/ (pow r 3) (* s (PI))))) s)) (* -1/8 (/ r (PI)))) s)) (* 1/8 (/ 1 (PI)))) s))>
#<alt 3/2>
#<alt (+ 3/2 (* -1 (/ r s)))>
#<alt (+ 3/2 (* r (- (* 5/12 (/ r (pow s 2))) (/ 1 s))))>
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#<alt (/ 1 (* r (PI)))>
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#<alt (+ (* -1 (/ (+ (* -1/2 (/ r (* s (PI)))) (/ 1 (PI))) s)) (/ 1 (* r (PI))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (pow r 2) (* s (PI)))) (* 1/2 (/ r (PI)))) s)) (/ 1 (PI))) s)) (/ 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 (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/24 (* s (PI)))) s)>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ (+ (* -1/24 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/24 (/ 1 (* s (PI)))))) (* 1/8 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 3) (PI)))) (* 1/144 (/ 1 (* (pow s 2) (PI)))))) (* 1/24 (/ 1 (* s (PI)))))) (* 1/8 (/ 1 (PI)))) r)>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
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#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (/ 1/8 (* r (PI)))>
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#<alt (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI))))>
#<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))))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI)))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (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))))>
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#<alt (* -1/3 (/ r s))>
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#<alt (/ 1/8 (* s (PI)))>
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#<alt (/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ -1/24 (* (pow s 2) (PI)))>
#<alt (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))>
#<alt (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))>
#<alt (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))>
#<alt (/ -1/24 (* (pow s 2) (PI)))>
#<alt (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))>
#<alt (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))>
#<alt (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))>
#<alt (/ -1/24 (* (pow s 2) (PI)))>
#<alt (/ (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))) (pow s 2))>
#<alt (/ (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))) (pow s 2))>
#<alt (/ (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))) (pow s 2))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
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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 (/ -1/24 (* (pow s 2) (PI)))>
#<alt (/ -1/24 (* (pow s 2) (PI)))>
#<alt (/ -1/24 (* (pow s 2) (PI)))>
#<alt (/ -1/24 (* (pow s 2) (PI)))>
#<alt (/ -1/24 (* (pow s 2) (PI)))>
#<alt (/ -1/24 (* (pow s 2) (PI)))>
#<alt (/ -1/24 (* (pow s 2) (PI)))>
#<alt (/ -1/24 (* (pow s 2) (PI)))>
#<alt (/ -1/24 (* (pow s 2) (PI)))>
#<alt (/ -1/24 (* (pow s 2) (PI)))>
#<alt (/ -1/24 (* (pow s 2) (PI)))>
#<alt (/ -1/24 (* (pow s 2) (PI)))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
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#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
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#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
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#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt 1>
#<alt (+ 1 (* -1/3 (/ r s)))>
#<alt (+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))>
#<alt (+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt 1>
#<alt (+ 1 (* -1/3 (/ r s)))>
#<alt (+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (/ r s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (neg (/ r s)))>
#<alt (exp (neg (/ r s)))>
#<alt (exp (neg (/ r s)))>
#<alt (exp (neg (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
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#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (neg (/ r s)))>
#<alt (exp (neg (/ r s)))>
#<alt (exp (neg (/ r s)))>
#<alt (exp (neg (/ r s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))>
#<alt (* 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))))>
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#<alt (* 2 (* r (* s (PI))))>
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#<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 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

165 calls:

Time	Variable		Point	Expression
6.0ms	r	@	inf	(/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r)
4.0ms	r	@	0	(* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))))
2.0ms	s	@	inf	(* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI))))
2.0ms	r	@	inf	(/ (/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r) (* s (* (* (PI) 6) r)))
2.0ms	r	@	-inf	(* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))))

rewrite433.0ms (3.9%)

Memory

13.2MiB live, 952.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 384×	`-lowering-.f32`
5 384×	`-lowering-.f64`
4 050×	`/-lowering-/.f32`
4 050×	`/-lowering-/.f64`
3 658×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	408
1	358	362
2	4306	362
0	8935	358

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 1 219

Calls

Call 1

Inputs
(+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3))))))
(/ (/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r) (* s (* (* (PI) 6) r)))
(* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI))))
(/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r)
(/ 1/4 (* r (* s (PI))))
(PI)
(* r (* s (PI)))
(* s (PI))
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* s (PI))))))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(* 1/4 (exp (/ (neg r) s)))
(exp (/ (neg r) s))
(* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))))
(/ (* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) s)
(+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))
(/ (exp (- 0 (/ r s))) (* r (PI)))
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) s))
(/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) s)
(/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6)))
(* s (* (* (PI) 6) r))
(/ r (* s -3))
(/ 1/8 (* s (PI)))
(+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* s (PI)))))
(* (* 2 (PI)) s)
(/ -1/24 (* s (* s (PI))))
(* (/ r s) -1/3)
(* r (PI))
(exp (* (/ r s) -1/3))
(exp (- 0 (/ r s)))
(* (* (* 2 (PI)) s) r)
(exp (/ r (* s -3)))

Outputs
(+.f32 (.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32)))))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(+.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))) (.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32)))))))
(pow.f32 (/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))) (-.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))) (.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))))) (.f32 (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32))))) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 r s) (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (fma.f32 (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32))) (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 r r) r)) #s(literal 216 binary32)) (.f32 (.f32 s s) s)) (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 s s) s)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 (.f32 (.f32 r r) r) #s(literal 27/64 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) (.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) r)) (fma.f32 (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32))))) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 r s) (-.f32 #s(literal 0 binary32) (/.f32 r s)))) (neg.f32 (.f32 (.f32 (.f32 r #s(literal 3/4 binary32)) (.f32 r #s(literal 3/4 binary32))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (.f32 s #s(literal -3 binary32))))))))) #s(literal -1 binary32))
(fma.f32 r (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32)))))))
(fma.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32)))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32)))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32)))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 #s(literal 3/4 binary32) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) (.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32)))))))
(fma.f32 (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) r (.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32)))))))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32)) (.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32)))))))
(fma.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 s (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32)) (.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (.f32 r #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32)))))))
(fma.f32 (.f32 s (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32)))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) s (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32)))) (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32))) r (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (.f32 (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (.f32 (.f32 s (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) r) (.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (.f32 (.f32 s (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) (PI.f32)) (.f32 r #s(literal 6 binary32)) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (.f32 (.f32 s (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) (.f32 (PI.f32) #s(literal 6 binary32))) r (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (.f32 (.f32 s (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) (.f32 r (PI.f32))) #s(literal 6 binary32) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))
(fma.f32 (.f32 r (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal 3/4 binary32) (.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32)))))))
(-.f32 (/.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32))))) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 r s) (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (fma.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) (.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) r))) (/.f32 (.f32 (.f32 (.f32 r #s(literal 3/4 binary32)) (.f32 r #s(literal 3/4 binary32))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (.f32 s #s(literal -3 binary32)))))) (fma.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) (.f32 (.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) r))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))) (-.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))) (.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))))) (.f32 (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32))))) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 r s) (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (fma.f32 (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32))) (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 r r) r)) #s(literal 216 binary32)) (.f32 (.f32 s s) s)) (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 s s) s)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 (.f32 (.f32 r r) r) #s(literal 27/64 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) (.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) r)) (fma.f32 (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32))))) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 r s) (-.f32 #s(literal 0 binary32) (/.f32 r s)))) (neg.f32 (.f32 (.f32 (.f32 r #s(literal 3/4 binary32)) (.f32 r #s(literal 3/4 binary32))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (.f32 s #s(literal -3 binary32))))))))))
(/.f32 (fma.f32 (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32))) (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 r r) r)) #s(literal 216 binary32)) (.f32 (.f32 s s) s)) (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 s s) s)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 (.f32 (.f32 r r) r) #s(literal 27/64 binary32)))) (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))) (-.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))) (.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))))) (.f32 (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32))))) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 r s) (-.f32 #s(literal 0 binary32) (/.f32 r s)))))))
(/.f32 (fma.f32 (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32))) (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 r r) r)) #s(literal 216 binary32)) (.f32 (.f32 s s) s)) (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 s s) s)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 (.f32 (.f32 r r) r) #s(literal 27/64 binary32)))) (fma.f32 (.f32 (.f32 r #s(literal 3/4 binary32)) (.f32 r #s(literal 3/4 binary32))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (.f32 s #s(literal -3 binary32))))) (-.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32))))) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 r s) (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32)))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32))))))))
(/.f32 (fma.f32 (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32)))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 6 binary32))))) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 r s) (-.f32 #s(literal 0 binary32) (/.f32 r s)))) (neg.f32 (.f32 (.f32 (.f32 r #s(literal 3/4 binary32)) (.f32 r #s(literal 3/4 binary32))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (.f32 s #s(literal -3 binary32)))))))) (fma.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) (.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) r)))
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(.f32 (+.f32 (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 r r) r)) (.f32 (.f32 s s) s))) (/.f32 #s(literal -1/13824 binary32) (.f32 (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32)))) (.f32 s (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (-.f32 (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))) (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 r (.f32 s (PI.f32))) (.f32 r (.f32 s (PI.f32))))))))
(.f32 (-.f32 (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 r (.f32 s (PI.f32))) (.f32 r (.f32 s (PI.f32))))) (/.f32 #s(literal 1/576 binary32) (.f32 (.f32 s (.f32 s (PI.f32))) (.f32 s (.f32 s (PI.f32)))))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(literal -1/24 binary32) s)) (.f32 s (PI.f32)))))
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) s))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(.f32 #s(literal 2 binary32) (.f32 s (PI.f32)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)
(.f32 (.f32 s #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 #s(literal 2 binary32) s) (PI.f32))
(neg.f32 (/.f32 #s(literal 1/24 binary32) (.f32 s (.f32 s (PI.f32)))))
(exp.f32 (.f32 (log.f32 (.f32 (.f32 s (.f32 s (PI.f32))) #s(literal -24 binary32))) #s(literal -1 binary32)))
(pow.f32 (.f32 (.f32 s (*.f32 s (PI.f32))) #s(literal -24 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (.f32 s (*.f32 s (PI.f32))) #s(literal -24 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal -1/24 binary32) s)) #s(literal -1 binary32))
(/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))
(/.f32 #s(literal -1/24 binary32) (neg.f32 (neg.f32 (.f32 s (.f32 s (PI.f32))))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 s (*.f32 s (PI.f32))) #s(literal -24 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 s (*.f32 s (PI.f32))) #s(literal -24 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal -1/24 binary32) s)))
(/.f32 #s(literal 1/24 binary32) (neg.f32 (.f32 s (.f32 s (PI.f32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 s (*.f32 s (PI.f32))) #s(literal -24 binary32))))
(/.f32 (/.f32 #s(literal -1/24 binary32) s) (*.f32 s (PI.f32)))
(/.f32 (neg.f32 (/.f32 #s(literal -1/24 binary32) s)) (-.f32 #s(literal 0 binary32) (*.f32 s (PI.f32))))
(/.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) s)
(/.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s s)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal -1/24 binary32) s) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal -1/24 binary32) s) (PI.f32)) s)
(.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) (.f32 s (*.f32 s (PI.f32)))))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 s (*.f32 s (PI.f32)))))
(.f32 #s(literal 1/24 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 s (*.f32 s (PI.f32))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (*.f32 s (PI.f32)))) #s(literal -1/24 binary32))
(.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (.f32 s (PI.f32)) #s(literal -1/24 binary32)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) s))
(.f32 (/.f32 #s(literal -1/24 binary32) s) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s s)) (pow.f32 (/.f32 (PI.f32) #s(literal -1/24 binary32)) #s(literal -1 binary32)))
(neg.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))
(neg.f32 (/.f32 (neg.f32 r) (*.f32 s #s(literal -3 binary32))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 s #s(literal -3 binary32)) r)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -3 binary32) (/.f32 r s)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #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 (/.f32 r s) #s(literal -3 binary32))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32))
(/.f32 (neg.f32 r) (*.f32 s #s(literal 3 binary32)))
(/.f32 #s(literal -1/3 binary32) (/.f32 s r))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal -3 binary32)) r))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) (/.f32 r s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 r #s(literal -1/3 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r)))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(/.f32 (.f32 r #s(literal 1 binary32)) (.f32 s #s(literal -3 binary32)))
(/.f32 (neg.f32 (*.f32 r #s(literal -1/3 binary32))) (neg.f32 s))
(/.f32 (*.f32 #s(literal -1/3 binary32) (neg.f32 r)) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 r) #s(literal -1/3 binary32)) (neg.f32 s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(.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 #s(literal 1 binary32) (/.f32 r (.f32 s #s(literal -3 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal -3 binary32) r) #s(literal -1 binary32)))
(*.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 #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 r (PI.f32))
(*.f32 (PI.f32) r)
(.f32 #s(literal 1 binary32) (.f32 r (PI.f32)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) r))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) r))
(.f32 (.f32 r #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 r (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1/3 binary32))) (/.f32 r s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 r)) (/.f32 #s(literal -1/3 binary32) s)))
(pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32))
(pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s))
(pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 3 binary32))))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))
(pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(pow.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 r) #s(literal 1 binary32)) (/.f32 #s(literal -1/3 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) r) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (neg.f32 r)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) #s(literal 1 binary32)) (/.f32 r s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) s)) r)
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(pow.f32 (*.f32 (exp.f32 (/.f32 r s)) (exp.f32 (/.f32 r s))) #s(literal -1/6 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(pow.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) s)) r)
(pow.f32 (exp.f32 (*.f32 r #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 s #s(literal -3 binary32)))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 #s(literal 0 binary32) (neg.f32 s))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) (.f32 s #s(literal 3 binary32)))) (exp.f32 (/.f32 r (.f32 s #s(literal 3 binary32)))))
(cbrt.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
(.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))
(.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/6 binary32))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/6 binary32))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp.f32 (.f32 (log.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 r))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (.f32 (/.f32 r (.f32 s #s(literal -3 binary32))) #s(literal 3 binary32)))
(pow.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal 3 binary32))
(pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1/3 binary32)) (*.f32 (/.f32 r s) #s(literal 3 binary32)))
(pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 r) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (exp.f32 r) (neg.f32 (/.f32 #s(literal 1 binary32) s)))
(pow.f32 (exp.f32 r) (*.f32 (/.f32 #s(literal -1/3 binary32) s) #s(literal 3 binary32)))
(pow.f32 (E.f32) (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(pow.f32 (/.f32 (exp.f32 (/.f32 r s)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 r)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (neg.f32 (/.f32 (.f32 (.f32 r r) r) (.f32 (.f32 s s) s)))) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 r r) (.f32 s s))))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 r))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r s))
(pow.f32 (exp.f32 (neg.f32 (/.f32 (.f32 r r) (.f32 s s)))) (/.f32 s r))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r s)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 r s)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 r s))))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (/.f32 r s)))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) (/.f32 (.f32 r r) (.f32 s s)))) (exp.f32 (/.f32 (/.f32 (.f32 (.f32 r r) r) (.f32 (.f32 s s) s)) (/.f32 (.f32 r r) (.f32 s s)))))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 (/.f32 (.f32 r r) (.f32 s s)) (/.f32 r s))))
(*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
(.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (.f32 s #s(literal -3 binary32))))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
(.f32 (pow.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) #s(literal 3 binary32)))
(.f32 r (.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))
(.f32 s (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) r))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) (*.f32 r s)))
(.f32 #s(literal 2 binary32) (.f32 r (*.f32 s (PI.f32))))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 r s))
(.f32 (.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) r)
(.f32 (.f32 r s) (*.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 r #s(literal 2 binary32)) (*.f32 s (PI.f32)))
(.f32 (.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))) s)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1/3 binary32))) (/.f32 r s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 r)) (/.f32 #s(literal -1/3 binary32) s)))
(pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32))
(pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s))
(pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 3 binary32))))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))
(pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(pow.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 r) #s(literal 1 binary32)) (/.f32 #s(literal -1/3 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) r) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (neg.f32 r)) (/.f32 #s(literal 1 binary32) (neg.f32 s)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) #s(literal 1 binary32)) (/.f32 r s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) s)) r)
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(pow.f32 (*.f32 (exp.f32 (/.f32 r s)) (exp.f32 (/.f32 r s))) #s(literal -1/6 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(pow.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) s)) r)
(pow.f32 (exp.f32 (*.f32 r #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 s #s(literal -3 binary32)))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 #s(literal 0 binary32) (neg.f32 s))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) (.f32 s #s(literal 3 binary32)))) (exp.f32 (/.f32 r (.f32 s #s(literal 3 binary32)))))
(cbrt.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
(.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))
(.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/6 binary32))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/6 binary32))))

simplify482.0ms (4.4%)

Memory

42.9MiB live, 709.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 752×	`accelerator-lowering-fma.f32`
8 752×	`accelerator-lowering-fma.f64`
4 826×	`-lowering-.f32`
4 826×	`-lowering-.f64`
4 004×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	828	8216
1	2502	7878
2	7142	7826
0	8240	7628

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

Inputs
(* 3/2 r)
(* r (+ 3/2 (* -1 (/ r s))))
(* r (+ 3/2 (* r (- (* 5/12 (/ r (pow s 2))) (/ 1 s)))))
(* r (+ 3/2 (* r (- (* r (+ (* -7/54 (/ r (pow s 3))) (* 5/12 (/ 1 (pow s 2))))) (/ 1 s)))))
(* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))
(* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))
(* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))
(* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))
(* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))
(* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))
(* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))
(* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))
(+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))
(+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))
(+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))
(+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))
(* 3/2 r)
(+ (* -3/4 (/ (pow r 2) s)) (+ (* -1/4 (/ (pow r 2) s)) (* 3/2 r)))
(+ (* -3/4 (/ (pow r 2) s)) (+ (* -1/4 (/ (pow r 2) s)) (+ (* 1/24 (/ (pow r 3) (pow s 2))) (+ (* 3/8 (/ (pow r 3) (pow s 2))) (* 3/2 r)))))
(+ (* -3/4 (/ (pow r 2) s)) (+ (* -1/4 (/ (pow r 2) s)) (+ (* -1/8 (/ (pow r 4) (pow s 3))) (+ (* -1/216 (/ (pow r 4) (pow s 3))) (+ (* 1/24 (/ (pow r 3) (pow s 2))) (+ (* 3/8 (/ (pow r 3) (pow s 2))) (* 3/2 r)))))))
(* 3/2 r)
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(/ 2 (* r (PI)))
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(/ (+ (* r (- (* 5/9 (/ r (* (pow s 2) (PI)))) (* 4/3 (/ 1 (* s (PI)))))) (* 2 (/ 1 (PI)))) r)
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(* -1 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))
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(+ (/ (exp (neg (/ r s))) (* r (PI))) (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(/ 2 (* r (PI)))
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(/ 2 (* r (PI)))
(- (* 2 (/ 1 (* r (PI)))) (* 4/3 (/ 1 (* s (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 4/3 (/ 1 (PI)))) s)) (* 2 (/ 1 (* r (PI)))))
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(/ 1 (* r (PI)))
(/ (+ (* -1 (/ r (* s (PI)))) (/ 1 (PI))) r)
(/ (+ (* r (- (* 1/2 (/ r (* (pow s 2) (PI)))) (/ 1 (* s (PI))))) (/ 1 (PI))) r)
(/ (+ (* r (- (* r (+ (* -1/6 (/ r (* (pow s 3) (PI)))) (* 1/2 (/ 1 (* (pow s 2) (PI)))))) (/ 1 (* s (PI))))) (/ 1 (PI))) r)
(/ (exp (neg (/ r s))) (* r (PI)))
(/ (exp (neg (/ r s))) (* r (PI)))
(/ (exp (neg (/ r s))) (* r (PI)))
(/ (exp (neg (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (* -1 (/ r s))) (* r (PI)))
(/ (exp (neg (/ r s))) (* r (PI)))
(/ (exp (neg (/ r s))) (* r (PI)))
(/ (exp (neg (/ r s))) (* r (PI)))
(/ (exp (neg (/ r s))) (* r (PI)))
(/ 1 (* r (PI)))
(- (/ 1 (* r (PI))) (/ 1 (* s (PI))))
(- (+ (* 1/2 (/ r (* (pow s 2) (PI)))) (/ 1 (* r (PI)))) (/ 1 (* s (PI))))
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
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(* -1 (/ (+ (* -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))
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(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/ (- (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/24 (* s (PI)))) s)
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/ 1/8 (* r (PI)))
(/ (+ (* -1/24 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/24 (/ 1 (* s (PI)))))) (* 1/8 (/ 1 (PI)))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 3) (PI)))) (* 1/144 (/ 1 (* (pow s 2) (PI)))))) (* 1/24 (/ 1 (* s (PI)))))) (* 1/8 (/ 1 (PI)))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(/ 1/8 (* r (PI)))
(- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI)))))
(- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI))))
(- (+ (* -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))))
(/ 1/8 (* r (PI)))
(- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI)))))
(+ (* -1 (/ (+ (* -1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI)))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (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))))
(* -1/3 (/ 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)))
(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ -1/24 (* (pow s 2) (PI)))
(- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))
(/ -1/24 (* (pow s 2) (PI)))
(- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))
(/ -1/24 (* (pow s 2) (PI)))
(/ (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))) (pow s 2))
(/ (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))) (pow s 2))
(/ (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))) (pow s 2))
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(/ -1/24 (* (pow s 2) (PI)))
(/ -1/24 (* (pow s 2) (PI)))
(/ -1/24 (* (pow s 2) (PI)))
(/ -1/24 (* (pow s 2) (PI)))
(/ -1/24 (* (pow s 2) (PI)))
(/ -1/24 (* (pow s 2) (PI)))
(/ -1/24 (* (pow s 2) (PI)))
(/ -1/24 (* (pow s 2) (PI)))
(/ -1/24 (* (pow s 2) (PI)))
(/ -1/24 (* (pow s 2) (PI)))
(/ -1/24 (* (pow s 2) (PI)))
(/ -1/24 (* (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))
(* 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
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (neg (/ r s)))
(exp (neg (/ r s)))
(exp (neg (/ r s)))
(exp (neg (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (neg (/ r s)))
(exp (neg (/ r s)))
(exp (neg (/ r s)))
(exp (neg (/ r s)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(* 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))))
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
(* 3/2 r)
(*.f32 #s(literal 3/2 binary32) r)
(* r (+ 3/2 (* -1 (/ r s))))
(*.f32 r (-.f32 #s(literal 3/2 binary32) (/.f32 r s)))
(* r (+ 3/2 (* r (- (* 5/12 (/ r (pow s 2))) (/ 1 s)))))
(.f32 r (fma.f32 r (fma.f32 #s(literal 5/12 binary32) (/.f32 r (.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 3/2 binary32)))
(* r (+ 3/2 (* r (- (* r (+ (* -7/54 (/ r (pow s 3))) (* 5/12 (/ 1 (pow s 2))))) (/ 1 s)))))
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(fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s s))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(fma.f32 (.f32 r r) (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s)))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 r s)) (fma.f32 (.f32 r r) (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 (.f32 (.f32 r (.f32 r r)) #s(literal -1/6 binary32)) (.f32 s (*.f32 s s)))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r r) s) #s(literal -1/2 binary32) r) s))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 r (/.f32 (.f32 r r) s)) (.f32 (.f32 r r) #s(literal 1/2 binary32))) s)) s))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(+ 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 (/.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))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (.f32 r r) (/.f32 #s(literal 1/18 binary32) (.f32 s s)) #s(literal 1 binary32)))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (.f32 r r) (/.f32 #s(literal 1/18 binary32) (.f32 s s)) #s(literal 1 binary32))) (/.f32 (.f32 (.f32 r (.f32 r r)) #s(literal -1/162 binary32)) (.f32 s (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (.f32 (/.f32 (.f32 r r) s) #s(literal -1/18 binary32))) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (.f32 r #s(literal 1/18 binary32)) (.f32 (.f32 r (/.f32 (.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s))

eval328.0ms (3%)

Memory: 5.1MiB live, 578.8MiB allocated
Compiler: Compiled 98 495 to 6 607 computations (93.3% saved)

prune421.0ms (3.8%)

Memory

-2.9MiB live, 772.3MiB allocated

Pruning

70 alts after pruning (69 fresh and 1 done)

	Pruned	Kept	Total
New	2 658	58	2 716
Fresh	18	11	29
Picked	4	1	5
Done	0	0	0
Total	2 680	70	2 750

Accuracy

99.9%

Counts

2 750 → 70

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r s)) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	96.7%	(fma.f32 (.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r)) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	9.6%	(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))))
▶	99.5%	(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
	99.5%	(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
	61.5%	(/.f32 (fma.f32 (.f32 (.f32 r s) (.f32 (PI.f32) #s(literal -6 binary32))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal -1/4 binary32)) (.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal -3/4 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))))
	9.7%	(/.f32 (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s))
	8.8%	(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/54 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/12 binary32) (.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 3/2 binary32)) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)))
	10.2%	(/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
▶	9.0%	(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
	9.4%	(/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32))) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)) (.f32 r (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))) r) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)))
	99.4%	(/.f32 (/.f32 (fma.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)) (.f32 r (.f32 #s(literal 3/4 binary32) (pow.f32 (E.f32) (/.f32 r (.f32 s #s(literal -3 binary32))))))) r) (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
	9.8%	(/.f32 (/.f32 (fma.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)) (.f32 r (.f32 #s(literal 3/4 binary32) #s(literal 1 binary32)))) r) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)))
	8.7%	(/.f32 (/.f32 (fma.f32 r (-.f32 #s(literal 0 binary32) (/.f32 r s)) (fma.f32 (/.f32 (pow.f32 r #s(literal 4 binary32)) (.f32 s (.f32 s s))) #s(literal -7/54 binary32) (fma.f32 #s(literal 3/2 binary32) r (.f32 (/.f32 (.f32 r (.f32 r r)) (.f32 s s)) #s(literal 5/12 binary32))))) r) (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
	99.4%	(/.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 (PI.f32) #s(literal 6 binary32)))) (.f32 r s))
	99.3%	(/.f32 (/.f32 (/.f32 (fma.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32)))) (.f32 r s)) (.f32 r (PI.f32))) #s(literal 6 binary32))
	9.3%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
	9.3%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
	9.3%	(/.f32 (/.f32 (.f32 #s(literal 3/2 binary32) r) r) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)))
	9.3%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
	9.3%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
	9.3%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
	9.3%	(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
	10.3%	(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (-.f32 (.f32 #s(literal 5/12 binary32) (.f32 r r)) (.f32 (.f32 r (.f32 r r)) (/.f32 #s(literal 7/54 binary32) s))) s)) s)) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)))
	10.2%	(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (.f32 #s(literal 5/12 binary32) (.f32 r r)) s)) s)) (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
	9.0%	(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
	10.0%	(/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) s)
	8.8%	(/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
	10.2%	(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
	9.0%	(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) s)
	10.1%	(/.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) (fma.f32 #s(literal 5/12 binary32) (/.f32 (.f32 r r) (.f32 s s)) #s(literal 3/2 binary32))) (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
	99.4%	(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) s)
	99.4%	(/.f32 (.f32 #s(literal 3/4 binary32) (+.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
	9.7%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32)) (*.f32 r (PI.f32))))) s)
	9.6%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.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 r (PI.f32))))) s)
	11.1%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.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 r (PI.f32))))) s)
	98.2%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (pow.f32 (exp.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 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (pow.f32 (E.f32) (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))))) s)
	11.1%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (-.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 (.f32 r (/.f32 (.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s)) (*.f32 r (PI.f32))))) s)
	9.8%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))))) s)
▶	99.4%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 r (.f32 s (PI.f32))))
	96.7%	(/.f32 (.f32 #s(literal 1/8 binary32) (.f32 r (+.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (.f32 (PI.f32) (.f32 s (.f32 r r))))
	97.5%	(/.f32 (neg.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 r (.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))))) (.f32 r (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal -2 binary32)))))
	9.3%	(/.f32 #s(literal 3/2 binary32) (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
	9.3%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
	9.3%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
	9.3%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
▶	9.3%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
	9.3%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	9.3%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
	9.7%	(+.f32 (fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (.f32 s (*.f32 s (PI.f32)))))
	8.6%	(+.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) (fma.f32 (.f32 r r) (/.f32 #s(literal 1/8 binary32) (.f32 s s)) #s(literal 1/4 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (*.f32 s (PI.f32))))))
	8.6%	(+.f32 (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/8 binary32) (.f32 s s)) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32)) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))))
	10.2%	(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	8.9%	(+.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 r (.f32 s (.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) r) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (*.f32 s (PI.f32))))))
	9.6%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) (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 r (.f32 (PI.f32) #s(literal 6 binary32)))) s))
	11.1%	(+.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 (.f32 #s(literal 3/4 binary32) (-.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 (.f32 r (/.f32 (.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s))) (.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) s))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (.f32 #s(literal 3/4 binary32) #s(literal 1 binary32)) (.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) s))
▶	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s))
	11.1%	(+.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 (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)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) s))
	11.1%	(+.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 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (PI.f32))) (/.f32 (.f32 r #s(literal 1/144 binary32)) (PI.f32))) (.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (PI.f32))))) s))
	99.4%	(+.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 (exp.f32 (.f32 (log.f32 (.f32 (.f32 (.f32 r (PI.f32)) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 8 binary32))) #s(literal -1 binary32))) s))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))))
	9.7%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))))
	8.9%	(+.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)))))
	8.3%	(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))))
	9.3%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
	9.3%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 r s)) (pow.f32 (/.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32)))
	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 #s(literal 0 binary32) (/.f32 r s))) r)))
	99.2%	(exp.f32 (.f32 (log.f32 (/.f32 s (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))) #s(literal -1 binary32)))

Compiler

Compiled 3 777 to 2 493 computations (34% saved)

simplify388.0ms (3.5%)

Memory

23.2MiB live, 409.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 r s)
✓	cost-diff	0	(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
✓	cost-diff	0	(+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
✓	cost-diff	0	(.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
✓	cost-diff	0	(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
✓	cost-diff	160	(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)
✓	cost-diff	256	(/.f32 (.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	640	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(/.f32 r (.f32 s (.f32 s (PI.f32))))
✓	cost-diff	0	(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))))
✓	cost-diff	0	(/.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)
✓	cost-diff	-32	(*.f32 r s)
✓	cost-diff	-32	(.f32 (.f32 r s) (PI.f32))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
✓	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 r (*.f32 (PI.f32) #s(literal 6 binary32))))
✓	cost-diff	0	(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
✓	cost-diff	768	(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))

Rules

5 016×	`-lowering-.f32`
5 016×	`-lowering-.f64`
4 710×	`/-lowering-/.f32`
4 710×	`/-lowering-/.f64`
4 510×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	372
1	138	363
2	356	361
3	978	346
4	2612	346
5	2737	346
6	2856	346
7	2988	346
8	3110	346
9	3278	346
10	4872	346
11	5687	346
12	6091	346
13	6202	346
14	6202	346
15	6234	346
16	6235	346
17	7145	346
18	7505	346
19	7601	346
20	7601	346
21	7601	346
22	7617	346
23	7647	346
24	7647	346
0	9446	344

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s))))) s)
(+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))
(/ (exp (/ r (* s -3))) (* r (* (PI) 6)))
(exp (/ r (* s -3)))
(/ r (* s -3))
r
(* s -3)
s
-3
(* r (* (PI) 6))
(* (PI) 6)
(PI)
6
3/4
(/ 1/8 (* (* r (PI)) (exp (/ r s))))
1/8
(* (* r (PI)) (exp (/ r s)))
(* r (PI))
(exp (/ r s))
(/ r s)
(/ 1/4 (* (* r s) (PI)))
1/4
(* (* r s) (PI))
(* r s)
r
s
(PI)
(/ (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r)
(+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI))))
-1/6
(/ r (* s (* s (PI))))
r
(* s (* s (PI)))
s
(* s (PI))
(PI)
(/ 1/4 (* s (PI)))
1/4
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 (* r (PI))) s))
(/ (* 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)
(/ (/ 1/8 (* r (PI))) s)
(/ 1/8 (* r (PI)))
1/8
(* r (PI))
(/ (* 1/8 (+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s))))) (* r (* s (PI))))
(* 1/8 (+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s)))))
1/8
(+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s))))
(exp (* (/ r s) -1/3))
(* (/ r s) -1/3)
(/ r s)
r
s
-1/3
(exp (- 0 (/ r s)))
(- 0 (/ r s))
0
(* r (* s (PI)))
(* s (PI))
(PI)

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

localize198.0ms (1.8%)

Memory

-18.4MiB live, 367.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
✓	accuracy	99.3%	(.f32 r (.f32 s (PI.f32)))
✓	accuracy	98.9%	(*.f32 s (PI.f32))
✓	accuracy	97.7%	(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
✓	accuracy	99.2%	(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)
✓	accuracy	99.1%	(*.f32 r (PI.f32))
✓	accuracy	99.0%	(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s)
✓	accuracy	99.3%	(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
✓	accuracy	99.0%	(/.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)
✓	accuracy	98.9%	(*.f32 s (PI.f32))
✓	accuracy	98.7%	(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))))
✓	accuracy	100.0%	(*.f32 r s)
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.3%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
✓	accuracy	98.8%	(.f32 (.f32 r s) (PI.f32))
✓	accuracy	99.6%	(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
✓	accuracy	99.6%	(exp.f32 (/.f32 r s))
✓	accuracy	99.2%	(/.f32 r (*.f32 s #s(literal -3 binary32)))
✓	accuracy	99.1%	(*.f32 r (PI.f32))

Samples

116.0ms

256×

valid

Compiler

Compiled 375 to 57 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 26.0ms (29.1% of total)

ival-div: 25.0ms (28% of total)

ival-add: 17.0ms (19.1% of total)

ival-exp: 10.0ms (11.2% of total)

const: 7.0ms (7.8% of total)

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

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

exact: 1.0ms (1.1% of total)

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

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

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

series49.0ms (0.4%)

Memory

32.2MiB live, 109.1MiB allocated

Counts

28 → 588

Calls

Call 1

Inputs
#<alt (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))>
#<alt (/ (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s))))) s)>
#<alt (/ (exp (/ r (* s -3))) (* r (* (PI) 6)))>
#<alt (exp (/ r (* s -3)))>
#<alt (/ 1/4 (* (* r s) (PI)))>
#<alt (PI)>
#<alt (* (* r s) (PI))>
#<alt (* r s)>
#<alt (/ (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r)>
#<alt (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI))))>
#<alt (/ r (* s (* s (PI))))>
#<alt (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 (* r (PI))) s))>
#<alt (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))>
#<alt (/ (/ 1/8 (* r (PI))) s)>
#<alt (* 1/4 (exp (/ (neg r) s)))>
#<alt (* 1/8 (+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s)))))>
#<alt (+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s))))>
#<alt (exp (* (/ r s) -1/3))>
#<alt (/ r s)>
#<alt (* r (PI))>
#<alt (/ r (* s -3))>
#<alt (exp (/ r s))>
#<alt (* s (PI))>
#<alt (/ 1/4 (* s (PI)))>
#<alt (* (* 2 (PI)) s)>
#<alt (/ 1/8 (* r (PI)))>
#<alt (* (/ r s) -1/3)>
#<alt (* r (* s (PI)))>

Outputs
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 3) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))>
#<alt (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))>
#<alt (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))>
#<alt (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))>
#<alt (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))>
#<alt (- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI))))>
#<alt (- (+ (* -1/8 (/ (+ (* -1 (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ 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 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -1/6 (/ (pow r 2) (PI))) (+ (* 1/2 (/ (pow r 2) (PI))) (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))))) (* 1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/144 (/ 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 (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/8 (/ (+ (* -1 (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ 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 (/ (- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/144 (/ r (* s (PI))))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/144 (/ r (PI))))) (+ (* -1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (+ (* 1/2 (/ (pow r 2) (PI))) (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))))) s)) (* 1/1296 (/ (pow r 2) (* s (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/6 (* r (PI)))>
#<alt (/ (+ (* -1/18 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/18 (/ 1 (* s (PI)))))) (* 1/6 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -1/972 (/ r (* (pow s 3) (PI)))) (* 1/108 (/ 1 (* (pow s 2) (PI)))))) (* 1/18 (/ 1 (* s (PI)))))) (* 1/6 (/ 1 (PI)))) r)>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (/ 1/6 (* r (PI)))>
#<alt (- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI)))))>
#<alt (- (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI))))) (/ 1/18 (* s (PI))))>
#<alt (- (+ (* -1/972 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI)))))) (/ 1/18 (* s (PI))))>
#<alt (/ 1/6 (* r (PI)))>
#<alt (- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/972 (/ (pow r 2) (* s (PI)))) (* 1/108 (/ r (PI)))) s)) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (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 (/ 1/4 (* 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 (* s (PI)))>
#<alt (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI)))))>
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#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ 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)))>

Calls

147 calls:

Time	Variable		Point	Expression
12.0ms	s	@	0	(/ r (* s (* s (PI))))
3.0ms	s	@	0	(/ (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r)
1.0ms	r	@	-inf	(* 1/4 (exp (/ (neg r) s)))
1.0ms	s	@	0	(+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))
1.0ms	r	@	-inf	(+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))

rewrite403.0ms (3.7%)

Memory

-31.0MiB live, 649.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 820×	`/-lowering-/.f32`
4 820×	`/-lowering-/.f64`
3 802×	`-lowering-.f32`
3 802×	`-lowering-.f64`
2 578×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	252
1	292	243
2	2854	243
0	8314	238

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 965

Calls

Call 1

Inputs
(+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))
(/ (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s))))) s)
(/ (exp (/ r (* s -3))) (* r (* (PI) 6)))
(exp (/ r (* s -3)))
(/ 1/4 (* (* r s) (PI)))
(PI)
(* (* r s) (PI))
(* r s)
(/ (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r)
(+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI))))
(/ r (* s (* s (PI))))
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 (* r (PI))) s))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/ (/ 1/8 (* r (PI))) s)
(* 1/4 (exp (/ (neg r) s)))
(* 1/8 (+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s)))))
(+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s))))
(exp (* (/ r s) -1/3))
(/ r s)
(* r (PI))
(/ r (* s -3))
(exp (/ r s))
(* s (PI))
(/ 1/4 (* s (PI)))
(* (* 2 (PI)) s)
(/ 1/8 (* r (PI)))
(* (/ r s) -1/3)
(* r (* s (PI)))

Outputs
(+.f32 (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32))) (pow.f32 (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)) #s(literal 2 binary32))) (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))))) #s(literal 27/64 binary32) (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 r (PI.f32))) #s(literal 1/8 binary32) (neg.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))))) (fma.f32 (pow.f32 (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -2 binary32)) #s(literal 9/16 binary32) (neg.f32 (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 2 binary32))))))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) #s(literal 1/6 binary32)) #s(literal 3/4 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(fma.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 3/4 binary32) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.f32))) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 r s)) (-.f32 #s(literal 0 binary32) (.f32 r (PI.f32))))) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) r) (pow.f32 (/.f32 (.f32 (PI.f32) (exp.f32 (/.f32 r s))) #s(literal 1/8 binary32)) #s(literal -1 binary32)) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (pow.f32 (/.f32 (exp.f32 (/.f32 r s)) #s(literal 1/8 binary32)) #s(literal -1 binary32)) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.f32))) #s(literal 1/8 binary32) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 3/4 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(literal 3/4 binary32) (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) r) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(-.f32 (/.f32 (pow.f32 (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)) #s(literal 2 binary32)) (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32) (neg.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s)))))))) (/.f32 (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 2 binary32)))) (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32) (neg.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s)))))))))
(-.f32 (/.f32 (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 2 binary32)))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)))) (/.f32 (pow.f32 (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32))) (pow.f32 (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)) #s(literal 2 binary32))) (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))))) #s(literal 27/64 binary32) (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32) (neg.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))))) (fma.f32 (pow.f32 (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -2 binary32)) #s(literal 9/16 binary32) (neg.f32 (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 2 binary32))))))))
(/.f32 (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))))) #s(literal 27/64 binary32) (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32))))) (fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32))) (pow.f32 (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)) #s(literal 2 binary32))))
(/.f32 (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))))) #s(literal 27/64 binary32) (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32))))) (fma.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 2 binary32))) (-.f32 (pow.f32 (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)) #s(literal 2 binary32)) (/.f32 (.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 3/4 binary32)) #s(literal 1/8 binary32)) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s)))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32))) (pow.f32 (.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32)) #s(literal 2 binary32))) (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))))) #s(literal 27/64 binary32) (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32) (neg.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))))) (fma.f32 (pow.f32 (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -2 binary32)) #s(literal 9/16 binary32) (neg.f32 (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 2 binary32)))))))))
(/.f32 (fma.f32 (pow.f32 (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal -2 binary32)) #s(literal 9/16 binary32) (neg.f32 (.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32)))) (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 2 binary32)))))) (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))) #s(literal 1/8 binary32) (neg.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))))
(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 3/4 binary32)) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s)))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) #s(literal 1/8 binary32))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 r (.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 3/4 binary32)) (exp.f32 (/.f32 r s)) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))) (.f32 (.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r s))))
(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 3/4 binary32)) (.f32 (exp.f32 (/.f32 r s)) (.f32 (.f32 r (PI.f32)) #s(literal 8 binary32))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) #s(literal 1 binary32))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 (exp.f32 (/.f32 r s)) (.f32 (.f32 r (PI.f32)) #s(literal 8 binary32)))))
(/.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal 3/4 binary32)) (.f32 (exp.f32 (/.f32 r s)) (-.f32 #s(literal 0 binary32) (.f32 r (PI.f32)))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) #s(literal -1/8 binary32))) (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (.f32 (exp.f32 (/.f32 r s)) (-.f32 #s(literal 0 binary32) (.f32 r (PI.f32))))))
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(pow.f32 (E.f32) (/.f32 r s))
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(pow.f32 (pow.f32 (exp.f32 r) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) r)
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) s)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
(*.f32 (exp.f32 (/.f32 r s)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r s)))
(*.f32 s (PI.f32))
(*.f32 (PI.f32) s)
(.f32 #s(literal 1 binary32) (.f32 s (PI.f32)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) s))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) s))
(.f32 (.f32 s #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 s (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(neg.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 s (PI.f32))))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 s (PI.f32)) #s(literal 4 binary32))) #s(literal -1 binary32)))
(pow.f32 (.f32 (.f32 s (PI.f32)) #s(literal 4 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (.f32 s (PI.f32)) #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) s)) #s(literal -1 binary32))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (neg.f32 (*.f32 s (neg.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 s (PI.f32)) #s(literal 4 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 s (PI.f32)) #s(literal 4 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) s)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (.f32 (.f32 s (PI.f32)) #s(literal 4 binary32)))))
(/.f32 #s(literal -1/4 binary32) (*.f32 s (neg.f32 (PI.f32))))
(/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (*.f32 s (neg.f32 (PI.f32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 s (PI.f32)) #s(literal 4 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (.f32 s (PI.f32)) #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) s))))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32))
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) s)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) s))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 s (PI.f32))))
(.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 s (neg.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) #s(literal 1/4 binary32))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) s))
(.f32 s (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) s))
(.f32 (.f32 s (PI.f32)) #s(literal 2 binary32))
(.f32 #s(literal 2 binary32) (.f32 s (PI.f32)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) s)
(.f32 (.f32 s #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 #s(literal 2 binary32) s) (PI.f32))
(neg.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 r (PI.f32))))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 r (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32)))
(pow.f32 (.f32 (.f32 r (PI.f32)) #s(literal 8 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (.f32 r (PI.f32)) #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) r)) #s(literal -1 binary32))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 r (PI.f32)) #s(literal 8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 r (PI.f32)) #s(literal 8 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) r)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (.f32 (.f32 r (PI.f32)) #s(literal 8 binary32)))))
(/.f32 #s(literal -1/8 binary32) (-.f32 #s(literal 0 binary32) (*.f32 r (PI.f32))))
(/.f32 #s(literal -1/8 binary32) (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 r (PI.f32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 r (PI.f32)) #s(literal 8 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (.f32 r (PI.f32)) #s(literal 8 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) r))))
(/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32))
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) r)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) r))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32))) (neg.f32 r))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) #s(literal 1 binary32))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))))
(.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (.f32 r (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) r) (pow.f32 (/.f32 (PI.f32) #s(literal 1/8 binary32)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) #s(literal 1/8 binary32))
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) r))
(neg.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 s #s(literal -3 binary32)) r)) #s(literal -1 binary32)))
(+.f32 (log.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/6 binary32)))) (log.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/6 binary32)))))
(pow.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal -1 binary32))
(pow.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -3 binary32) (/.f32 r s)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 r s) #s(literal 3 binary32)))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 s #s(literal 3 binary32))) (/.f32 r (.f32 s #s(literal 3 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 s #s(literal -3 binary32))) (/.f32 r (.f32 s #s(literal 3 binary32))))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) s) #s(literal -3 binary32)) (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal -3 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) s) #s(literal 3 binary32)) (/.f32 (/.f32 r s) #s(literal 3 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) (/.f32 (.f32 r r) (.f32 s s))) #s(literal 3 binary32)) (/.f32 (/.f32 (/.f32 (.f32 r (.f32 r r)) (.f32 s (.f32 s s))) (/.f32 (.f32 r r) (.f32 s s))) #s(literal 3 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32)) (/.f32 (/.f32 r s) #s(literal 3 binary32)))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 r (neg.f32 (*.f32 s #s(literal 3 binary32))))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 (neg.f32 r) (*.f32 s #s(literal 3 binary32)))
(/.f32 (neg.f32 r) (neg.f32 (neg.f32 (*.f32 s #s(literal 3 binary32)))))
(/.f32 #s(literal -1/3 binary32) (/.f32 s r))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal -3 binary32)) r))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 r #s(literal -1/3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) (/.f32 r s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -3 binary32) (/.f32 r s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal 1 binary32))))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(/.f32 #s(literal 1/3 binary32) (/.f32 s (neg.f32 r)))
(/.f32 (.f32 r #s(literal 1 binary32)) (.f32 s #s(literal -3 binary32)))
(/.f32 (neg.f32 (*.f32 r #s(literal -1/3 binary32))) (neg.f32 s))
(/.f32 (*.f32 #s(literal -1/3 binary32) (neg.f32 r)) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 r) #s(literal -1/3 binary32)) (neg.f32 s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 (neg.f32 (.f32 r #s(literal 1 binary32))) (.f32 s #s(literal 3 binary32)))
(/.f32 (neg.f32 (neg.f32 (*.f32 r #s(literal -1/3 binary32)))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 #s(literal -1/3 binary32) (neg.f32 r))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 (neg.f32 r) #s(literal -1/3 binary32))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (/.f32 r #s(literal -3 binary32))) (neg.f32 s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(*.f32 (/.f32 r s) (log.f32 (exp.f32 #s(literal -1/3 binary32))))
(.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 #s(literal 1 binary32) (/.f32 r (.f32 s #s(literal -3 binary32))))
(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
(*.f32 (/.f32 #s(literal -1/3 binary32) s) (log.f32 (exp.f32 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) (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(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) s))
(log.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
(.f32 r (.f32 s (PI.f32)))
(.f32 s (.f32 r (PI.f32)))
(.f32 (PI.f32) (.f32 r s))
(.f32 (.f32 r (PI.f32)) s)
(.f32 (.f32 r s) (PI.f32))
(.f32 (.f32 s (PI.f32)) r)
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 r s)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.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))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

simplify677.0ms (6.2%)

Memory

15.1MiB live, 821.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 764×	`accelerator-lowering-fma.f32`
12 764×	`accelerator-lowering-fma.f64`
5 184×	`-lowering-.f32`
5 184×	`-lowering-.f64`
4 710×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	585	5898
1	1736	5728
2	4896	5624
0	8477	5467

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

Outputs
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 3) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 s (.f32 (PI.f32) (.f32 s s)))) (/.f32 #s(literal 5/72 binary32) (.f32 (PI.f32) (.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
(+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
(+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
(+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)))
(- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI))))
(+.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s))))
(- (+ (* -1/8 (/ (+ (* -1 (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI))))
(+.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (.f32 r r) (.f32 s (.f32 (PI.f32) (.f32 s s)))) (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 1/144 binary32) (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 r r)) (PI.f32)) (.f32 s (.f32 s s))) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s))))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s)) s))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -1/6 (/ (pow r 2) (PI))) (+ (* 1/2 (/ (pow r 2) (PI))) (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))))) (* 1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal 7/324 binary32))) s)) s)) s))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (PI.f32) s)))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 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 (PI.f32) s))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (.f32 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 (PI.f32) s))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (.f32 r s))
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (.f32 r s))
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (.f32 r s))
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (.f32 r s))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (.f32 r s))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (.f32 r s))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (.f32 r s))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))
(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (.f32 r s))
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
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(/ 1/4 (* r (* s (PI))))
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#s(literal 2 binary32)
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(.f32 r (.f32 (PI.f32) s))
(* r (* s (PI)))
(.f32 r (.f32 (PI.f32) s))
(* r (* s (PI)))
(.f32 r (.f32 (PI.f32) s))

eval251.0ms (2.3%)

Memory: 12.8MiB live, 474.6MiB allocated
Compiler: Compiled 53 729 to 5 448 computations (89.9% saved)

prune375.0ms (3.4%)

Memory

-5.9MiB live, 760.5MiB allocated

Pruning

93 alts after pruning (90 fresh and 3 done)

	Pruned	Kept	Total
New	1 958	54	2 012
Fresh	28	36	64
Picked	3	2	5
Done	0	1	1
Total	1 989	93	2 082

Accuracy

100.0%

Counts

2 082 → 93

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.8%	(fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
	9.8%	(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))))
	96.7%	(fma.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r s)) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s)))))
	96.7%	(fma.f32 (.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) r)) (/.f32 #s(literal 1/6 binary32) (.f32 s (PI.f32))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (.f32 r s)))))
	9.6%	(/.f32 (fma.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/18 binary32) (.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
▶	74.4%	(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal 1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))) s)
	63.0%	(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))) s)
	73.0%	(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 r (.f32 r r)) (.f32 s (.f32 s s))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/2 binary32) (.f32 s s)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32)))))) s)
	60.9%	(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 r (/.f32 r s)) (neg.f32 r)) s))))) s)
	72.3%	(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 r (/.f32 (fma.f32 r (.f32 r #s(literal 1/2 binary32)) (.f32 #s(literal 1/6 binary32) (.f32 r (*.f32 r (/.f32 r s))))) s)) s))))) s)
	20.7%	(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 r s))))) s)
✓	99.5%	(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
▶	8.7%	(/.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
	99.5%	(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
	9.8%	(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
	9.7%	(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) r (.f32 s (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 s (PI.f32)))))) (*.f32 r s))
	9.7%	(/.f32 (fma.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 (PI.f32) (.f32 s s)))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (.f32 (PI.f32) (.f32 s s)))) (/.f32 #s(literal -1/18 binary32) (.f32 (PI.f32) s))) (/.f32 #s(literal 1/6 binary32) (.f32 r (PI.f32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
	61.5%	(/.f32 (fma.f32 (.f32 (.f32 r s) (.f32 (PI.f32) #s(literal -6 binary32))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal -1/4 binary32)) (.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) #s(literal -3/4 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))))
	9.8%	(/.f32 (fma.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 s (PI.f32)))) (.f32 (PI.f32) (.f32 r s)) (.f32 r #s(literal 1/8 binary32))) (.f32 r (.f32 (PI.f32) (.f32 r s))))
▶	99.5%	(/.f32 (fma.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
	8.8%	(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/72 binary32) (.f32 s s))) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (.f32 r (*.f32 s (PI.f32))))
	8.8%	(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/54 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 5/12 binary32) (.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 3/2 binary32)) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)))
	10.2%	(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (.f32 r (*.f32 s (PI.f32))))
	9.0%	(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (.f32 r #s(literal -4/3 binary32)) s) #s(literal 1/4 binary32)) (.f32 r (*.f32 s (PI.f32))))
	9.8%	(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) s))) r)
	9.0%	(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (.f32 r (.f32 s (PI.f32))))
	99.4%	(/.f32 (/.f32 (fma.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)) (.f32 r (.f32 #s(literal 3/4 binary32) (pow.f32 (E.f32) (/.f32 r (.f32 s #s(literal -3 binary32))))))) r) (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
	99.4%	(/.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 (PI.f32) #s(literal 6 binary32)))) (.f32 r s))
	9.0%	(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
	99.3%	(/.f32 (/.f32 (/.f32 (fma.f32 s (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (exp.f32 (/.f32 r s)) (.f32 s (PI.f32))))) (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r #s(literal 3/4 binary32)))) (.f32 r s)) (.f32 r (PI.f32))) #s(literal 6 binary32))
	9.3%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
	9.3%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
	9.3%	(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
	9.3%	(/.f32 (/.f32 (.f32 #s(literal 3/2 binary32) r) r) (.f32 s (.f32 (.f32 (PI.f32) #s(literal 6 binary32)) r)))
	9.3%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
	9.3%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
	9.3%	(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
	9.3%	(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
	9.3%	(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
	10.2%	(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (.f32 #s(literal 5/12 binary32) (.f32 r r)) s)) s)) (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
	9.0%	(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
	10.2%	(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 r #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 r (.f32 (.f32 r r) #s(literal 14/81 binary32))) s) (.f32 (.f32 r r) #s(literal 5/72 binary32))) (neg.f32 s))) s)) (.f32 r (*.f32 s (PI.f32))))
	10.2%	(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 r (.f32 r #s(literal 5/9 binary32))) s) (.f32 r #s(literal 1/6 binary32))) s)) (.f32 r (*.f32 s (PI.f32))))
	6.7%	(/.f32 (+.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 s (.f32 (PI.f32) (.f32 s s)))) #s(literal -1/48 binary32) (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) s))) s)
	10.0%	(/.f32 (+.f32 (fma.f32 (/.f32 r (.f32 s (.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) s)
	8.8%	(/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (.f32 s (.f32 s (.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (.f32 s (.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
	8.1%	(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (.f32 r r) (.f32 (PI.f32) s)) #s(literal 1/48 binary32) (.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32)))) s)
	9.0%	(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) s))) s)
	9.7%	(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
	99.4%	(/.f32 (.f32 (+.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) #s(literal 1/8 binary32)) (.f32 r (.f32 s (PI.f32))))
	99.4%	(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) s)
	99.4%	(/.f32 (.f32 #s(literal 3/4 binary32) (+.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
	10.2%	(/.f32 (.f32 #s(literal 1/8 binary32) (fma.f32 r (/.f32 #s(literal -4/3 binary32) s) (fma.f32 (.f32 r r) (/.f32 #s(literal 5/9 binary32) (.f32 s s)) #s(literal 2 binary32)))) (.f32 r (*.f32 s (PI.f32))))
	10.2%	(/.f32 (.f32 #s(literal 1/8 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (fma.f32 #s(literal -14/81 binary32) (.f32 r (.f32 r (/.f32 r s))) (.f32 r (.f32 r #s(literal 5/9 binary32)))) (neg.f32 s))) s))) (.f32 r (*.f32 s (PI.f32))))
	9.6%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (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.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 r (.f32 s (PI.f32))))
	11.1%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.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)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 r (.f32 s (PI.f32))))
	9.7%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 r (*.f32 s (PI.f32))))
	98.3%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 r (*.f32 s (PI.f32))))
	99.4%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (E.f32) (/.f32 r (.f32 s #s(literal -3 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 r (.f32 s (PI.f32))))
	9.6%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.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 r (PI.f32))))) s)
	11.1%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.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 r (PI.f32))))) s)
	98.2%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (pow.f32 (exp.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 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (PI.f32))) (/.f32 (pow.f32 (E.f32) (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (PI.f32))))) s)
	99.4%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 (.f32 r s) (PI.f32)))
	99.4%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	9.8%	(/.f32 (.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (.f32 r (*.f32 s (PI.f32))))
	96.7%	(/.f32 (.f32 #s(literal 1/8 binary32) (.f32 r (+.f32 (exp.f32 (.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (.f32 (PI.f32) (.f32 s (.f32 r r))))
	97.5%	(/.f32 (neg.f32 (fma.f32 (.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 s (PI.f32)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 r s))) (.f32 r (.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))))) (.f32 r (.f32 r (.f32 (.f32 s (PI.f32)) #s(literal -2 binary32)))))
	9.3%	(/.f32 #s(literal 3/2 binary32) (.f32 s (.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
	9.3%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
	9.3%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
	9.0%	(/.f32 #s(literal 1 binary32) (/.f32 r (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))))))
	9.3%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
▶	9.3%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
✓	9.3%	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r s) (PI.f32)))
	9.3%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	9.3%	(/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32))))
	8.6%	(-.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) (.f32 r (.f32 (PI.f32) s))))
	8.9%	(-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 s s))) (/.f32 #s(literal -1/4 binary32) (.f32 r (.f32 (PI.f32) s))))
	10.2%	(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 s s)) (/.f32 #s(literal 1/4 binary32) (.f32 r (.f32 s (PI.f32)))))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) s))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32))))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 s (PI.f32))))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) r)) s))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(literal 1 binary32) s)) (PI.f32)))
	99.4%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 (.f32 r (PI.f32)) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 8 binary32))) #s(literal -1 binary32))) s))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (*.f32 r (PI.f32)) #s(literal 8 binary32)) s)))
	9.8%	(+.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 #s(literal -1/8 binary32) (.f32 (-.f32 #s(literal 0 binary32) (.f32 r (PI.f32))) s)))
	8.3%	(+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 r (.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (.f32 s (.f32 s (PI.f32))))))
	9.3%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
	9.3%	(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (.f32 r s)))
	99.2%	(exp.f32 (.f32 (log.f32 (/.f32 s (.f32 #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))) #s(literal -1 binary32)))

Compiler

Compiled 4 652 to 3 156 computations (32.2% saved)

simplify401.0ms (3.6%)

Memory

2.7MiB live, 706.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))))
✓	cost-diff	0	(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal 1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))) s)
✓	cost-diff	160	(fma.f32 (/.f32 (exp.f32 (/.f32 r (.f32 s #s(literal -3 binary32)))) (.f32 r (.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 r (PI.f32)) (fma.f32 r (fma.f32 r (fma.f32 #s(literal 1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (.f32 s s))) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32)))))
✓	cost-diff	320	(fma.f32 r (fma.f32 #s(literal 1/6 binary32) (/.f32 r (.f32 s (.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal 1 binary32) s))
✓	cost-diff	0	(-.f32 #s(literal 0 binary32) (/.f32 r s))
✓	cost-diff	0	(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
✓	cost-diff	0	(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))))
✓	cost-diff	768	(fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (.f32 r (.f32 s (.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (PI.f32) (*.f32 r s))))
✓	cost-diff	0	(.f32 (PI.f32) (.f32 s s))
✓	cost-diff	0	(/.f32 r (.f32 (PI.f32) (.f32 s s)))
✓	cost-diff	0	(fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
✓	cost-diff	0	(/.f32 (fma.f32 (/.f32 r (.f32 (PI.f32) (.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 r (PI.f32))
✓	cost-diff	0	(.f32 (.f32 r (PI.f32)) s)
✓	cost-diff	0	(/.f32 #s(literal 1/4 binary32) (.f32 (.f32 r (PI.f32)) s))
✓	cost-diff	64	(neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
✓	cost-diff	96	(.f32 (log.f32 (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))
✓	cost-diff	672	(fma.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
✓	cost-diff	6272	(exp.f32 (.f32 (log.f32 (.f32 (.f32 r (.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32)))

Rules

9 850×	`accelerator-lowering-fma.f32`
9 850×	`accelerator-lowering-fma.f64`
5 422×	`-lowering-.f32`
5 422×	`-lowering-.f64`
1 842×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	615
1	179	600
2	509	587
3	1528	558
4	4362	550
5	5907	550
6	6633	550
0	8007	530

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (exp (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s))))) s)
(+ (* (exp (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))
(exp (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1))
(* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)
(log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3))))))
(* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))
(* r (* (PI) 6))
r
(* (PI) 6)
(PI)
6
(exp (neg (/ r (* s -3))))
(neg (/ r (* s -3)))
(/ r (* s -3))
(* s -3)
s
-3
-1
3/4
(/ 1/8 (* (* r (PI)) (exp (/ r s))))
1/8
(* (* r (PI)) (exp (/ r s)))
(* r (PI))
(exp (/ r s))
(/ r s)
(/ 1/4 (* (* r (PI)) s))
1/4
(* (* r (PI)) s)
(* r (PI))
r
(PI)
s
(/ (+ (* (/ r (* (PI) (* s s))) -1/8) (/ 1/4 (* (PI) s))) r)
(+ (* (/ r (* (PI) (* s s))) -1/8) (/ 1/4 (* (PI) s)))
(/ r (* (PI) (* s s)))
r
(* (PI) (* s s))
(PI)
(* s s)
s
-1/8
(/ 1/4 (* (PI) s))
1/4
(* (PI) s)
(+ (* (/ (exp (- 0 (/ r s))) (* r (* s (* (PI) 2)))) 1/4) (/ 1/8 (* (PI) (* r s))))
(/ (exp (- 0 (/ r s))) (* r (* s (* (PI) 2))))
(exp (- 0 (/ r s)))
(- 0 (/ r s))
0
(/ r s)
r
s
(* r (* s (* (PI) 2)))
(* s (* (PI) 2))
(* (PI) 2)
(PI)
2
1/4
(/ 1/8 (* (PI) (* r s)))
1/8
(* (PI) (* r s))
(* r s)
(/ (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1)))) s)
(+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1))))
(/ (exp (/ r (* s -3))) (* r (* (PI) 6)))
(exp (/ r (* s -3)))
(/ r (* s -3))
r
(* s -3)
s
-3
(* r (* (PI) 6))
(* (PI) 6)
(PI)
6
3/4
(/ 1/8 (* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1)))
1/8
(* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1))
(* r (PI))
(+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1)
(+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))
(+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))
1/6
(/ r (* s (* s s)))
(* s (* s s))
(* s s)
(/ 1/2 (* s s))
1/2
(/ 1 s)
1

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

localize2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Samples

0.0ms

1×

valid

Compiler

Compiled 617 to 73 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

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

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

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

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

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

const: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze86.0ms (0.8%)

sample2.9s (26%)

preprocess330.0ms (3%)

explain265.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify284.0ms (2.6%)

localize72.0ms (0.7%)

series29.0ms (0.3%)

rewrite391.0ms (3.6%)

simplify670.0ms (6.1%)

eval80.0ms (0.7%)

prune296.0ms (2.7%)

simplify895.0ms (8.2%)

localize250.0ms (2.3%)

series65.0ms (0.6%)

rewrite433.0ms (3.9%)

simplify482.0ms (4.4%)

eval328.0ms (3%)

prune421.0ms (3.8%)

simplify388.0ms (3.5%)

localize198.0ms (1.8%)

series49.0ms (0.4%)

rewrite403.0ms (3.7%)

simplify677.0ms (6.2%)

eval251.0ms (2.3%)

prune375.0ms (3.4%)

simplify401.0ms (3.6%)

localize2.0ms (0%)

end0.0ms (0%)

Profiling